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Puella Magi Madoka Magica

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201-441: Puella Magi Madoka Magica ( Japanese : 魔法少女まどか☆マギカ , Hepburn : Mahō Shōjo Madoka Magika ) , also known simply as Madoka Magica , is a Japanese anime television series created by Magica Quartet; and animated by Shaft . The story follows a group of middle school girls, led by protagonist Madoka Kaname , who make supernatural contracts to become magical girls . In battling surreal enemies known as "witches", they learn of

402-481: A psychopomp form, called the "Law of Cycles" which is a new rule of the universe where magical girls are purified and disappear into a higher plane instead of becoming witches. A new reality is formed, and Homura is the only one who remembers Madoka. Homura vows to continue fighting in honor of Madoka and the world she cherished. While collaborating on Hidamari Sketch and Bakemonogatari , Akiyuki Shinbo told Aniplex producer Atsuhiro Iwakami he wanted to create

603-533: A Greek mathematician, linked entropy with a mathematical definition of irreversibility, in terms of trajectories and integrability. In 1865, Clausius named the concept of "the differential of a quantity which depends on the configuration of the system", entropy ( Entropie ) after the Greek word for 'transformation'. He gave "transformational content" ( Verwandlungsinhalt ) as a synonym, paralleling his "thermal and ergonal content" ( Wärme- und Werkinhalt ) as

804-637: A benefit from the in-group to the out-group) means "[I/we] explained [it] to [him/her/them]". Such beneficiary auxiliary verbs thus serve a function comparable to that of pronouns and prepositions in Indo-European languages to indicate the actor and the recipient of an action. Japanese "pronouns" also function differently from most modern Indo-European pronouns (and more like nouns) in that they can take modifiers as any other noun may. For instance, one does not say in English: The amazed he ran down

1005-588: A bonus Blu-ray Disc, a Kyubey pouch, a 'HomuHomu' handkerchief and a special clear card. An action game for the PlayStation Vita titled Puella Magi Madoka Magica: The Battle Pentagram ( 魔法少女まどかマギカThe Battle Pentagram ) was developed by Artdink and published by Namco Bandai Games, and was released in Japan on December 19, 2013. The game features an original story that was created with guidance from Urobuchi in which all five magical girls team up to defeat

1206-695: A central concept for the first law of thermodynamics . Finally, a comparison of both the representations of a work output in a Carnot cycle gives us: | Q H | T H − | Q C | T C = Q H T H + Q C T C = 0 {\displaystyle {\frac {\left\vert Q_{\mathsf {H}}\right\vert }{T_{\mathsf {H}}}}-{\frac {\left\vert Q_{\mathsf {C}}\right\vert }{T_{\mathsf {C}}}}={\frac {Q_{\mathsf {H}}}{T_{\mathsf {H}}}}+{\frac {Q_{\mathsf {C}}}{T_{\mathsf {C}}}}=0} Similarly to

1407-583: A character before even assigning it a name, and contrasted this with other writing methods that first focused on developing the characters and then creating a storyline for them to follow. He again defended his decision to have Mami die, saying this could have the effect of making the character more memorable, saying, "I think there are quite many characters who became immortal exactly because they died, like Caesar Zeppeli in JoJo's Bizarre Adventure or Raoh in Fist of

1608-529: A cold one. If we consider a heat engine which is less effective than Carnot cycle (i.e., the work W {\textstyle W} produced by this engine is less than the maximum predicted by Carnot's theorem), its work output is capped by Carnot efficiency as: W < ( 1 − T C T H ) Q H {\displaystyle W<\left(1-{\frac {T_{\mathsf {C}}}{T_{\mathsf {H}}}}\right)Q_{\mathsf {H}}} Substitution of

1809-541: A cosmic horror level". The Spanish film director Carlos Vermut has cited Madoka Magica as a large influence on his 2014 film Magical Girl . The series was referenced in the HBO series Euphoria . Anime director Hiroyuki Imaishi said that darker-toned series like Madoka Magica are an "industry trend". The series also inspired a Nigerian magical girl franchise, Adorned by Chi . Japanese language Japanese ( 日本語 , Nihongo , [ɲihoŋɡo] )

2010-414: A distinct language of its own that has absorbed various aspects from neighboring languages. Japanese has five vowels, and vowel length is phonemic, with each having both a short and a long version. Elongated vowels are usually denoted with a line over the vowel (a macron ) in rōmaji , a repeated vowel character in hiragana , or a chōonpu succeeding the vowel in katakana . /u/ ( listen )

2211-419: A glide /j/ and either the first part of a geminate consonant ( っ / ッ , represented as Q) or a moraic nasal in the coda ( ん / ン , represented as N). The nasal is sensitive to its phonetic environment and assimilates to the following phoneme, with pronunciations including [ɴ, m, n, ɲ, ŋ, ɰ̃] . Onset-glide clusters only occur at the start of syllables but clusters across syllables are allowed as long as

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2412-484: A listener depending on the listener's relative social position and the degree of familiarity between the speaker and the listener. When used in different social relationships, the same word may have positive (intimate or respectful) or negative (distant or disrespectful) connotations. Japanese often use titles of the person referred to where pronouns would be used in English. For example, when speaking to one's teacher, it

2613-676: A macroscopic perspective, in classical thermodynamics the entropy is interpreted as a state function of a thermodynamic system : that is, a property depending only on the current state of the system, independent of how that state came to be achieved. In any process, where the system gives up Δ E {\displaystyle \Delta E} of energy to the surrounding at the temperature T {\textstyle T} , its entropy falls by Δ S {\textstyle \Delta S} and at least T ⋅ Δ S {\textstyle T\cdot \Delta S} of that energy must be given up to

2814-481: A middle school student named Madoka Kaname and her best friend, Sayaka Miki , encounter a small, cat-like creature named Kyubey . They offer a contract in which a girl may have any wish granted in exchange for obtaining magical powers and being tasked with fighting witches. Meanwhile, a transfer student and mysterious magical girl named Homura Akemi tries to stop Madoka from making the contract with Kyubey. Madoka and Sayaka then meet Mami Tomoe , an upperclassman at

3015-426: A musician and friend of hers who she has a crush on. However, her friend Hitomi Shizuki confesses her love to him first, causing Sayaka to become disillusioned and fall into an inescapable despair that turns her into a witch. Kyubey reveals to Madoka that they are of an alien race that has been harvesting the emotions of magical girls for centuries to use as energy to counteract the spread of entropy , and thus stave off

3216-506: A new magical girl series, beginning the development of Puella Magi Madoka Magica . During the early planning stage, Iwakami decided not to adapt an existing work to give Shinbo more freedom in his direction style. Another goal of the project was to develop an anime that would appeal to a wider audience than the usual demographic for media within the magical girl subgenre. Iwakami and Shinbo intended their series to be accessible to "the general anime fan". Shinbo then asked Gen Urobuchi to work on

3417-457: A new story, described as a "movie-based image board", was debuted at Shaft's anniversary exhibition Madogatari on November 27, 2015. Shaft representative director and president Mitsutoshi Kubota later confirmed in an interview in Newtype that the concept film will launch a new Puella Magi Madoka Magica project. At the 10th anniversary event held on April 25, 2021, a sequel movie to Rebellion

3618-489: A powerful witch called Walpurgis Night. Upon release, a limited edition version that included codes for additional in-game costumes and merchandise such as a CD copy of the game's soundtrack and an art book, was also on sale. A free smartphone application called Mami's Heart Pounding Tiro Finale ( マミのドキドキティロフィナーレ , Mami no Doki Doki Tiro Fināre ) was released on October 14, 2011. A third-person shooter (TPS) titled Puella Magi Madoka Magica TPS featuring Homura Akemi

3819-440: A reversible path between the same two states. However, the heat transferred to or from the surroundings is different as well as its entropy change. We can calculate the change of entropy only by integrating the above formula. To obtain the absolute value of the entropy, we consider the third law of thermodynamics : perfect crystals at the absolute zero have an entropy S = 0 {\textstyle S=0} . From

4020-408: A sentence need not be stated and pronouns may be omitted if they can be inferred from context. In the example above, hana ga nagai would mean "[their] noses are long", while nagai by itself would mean "[they] are long." A single verb can be a complete sentence: Yatta! ( やった! ) "[I / we / they / etc] did [it]!". In addition, since adjectives can form the predicate in a Japanese sentence (below),

4221-428: A single adjective can be a complete sentence: Urayamashii! ( 羨ましい! ) "[I'm] jealous [about it]!". While the language has some words that are typically translated as pronouns, these are not used as frequently as pronouns in some Indo-European languages, and function differently. In some cases, Japanese relies on special verb forms and auxiliary verbs to indicate the direction of benefit of an action: "down" to indicate

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4422-495: A small portion of heat δ Q r e v {\textstyle \delta Q_{\mathsf {rev}}} transferred to the system during reversible process divided by the temperature T {\textstyle T} of the system during this heat transfer : d S = δ Q r e v T {\displaystyle \mathrm {d} S={\frac {\delta Q_{\mathsf {rev}}}{T}}} The reversible process

4623-425: A stand-still I might intervene, but they did an excellent job and I was very happy seeing the results in episode one." During the pre-writing planning phase, Iwakami asked Urobuchi to make the storyline "heavy". Shinbo specified it should contain copious amounts of blood and violence, elements that were unusual in the magical girl genre. Iwakami also asked for many of the magical girl characters to be killed throughout

4824-430: A state of thermodynamic equilibrium , which essentially are state variables . State variables depend only on the equilibrium condition, not on the path evolution to that state. State variables can be functions of state, also called state functions , in a sense that one state variable is a mathematical function of other state variables. Often, if some properties of a system are determined, they are sufficient to determine

5025-418: A system — modeled at first classically, e.g. Newtonian particles constituting a gas, and later quantum-mechanically (photons, phonons , spins, etc.). The two approaches form a consistent, unified view of the same phenomenon as expressed in the second law of thermodynamics, which has found universal applicability to physical processes. Many thermodynamic properties are defined by physical variables that define

5226-420: A television commercial several weeks before the series' premiere in Japan. On January 7, 2011, Puella Magi Madoka Magica debuted on Mainichi Broadcasting System (MBS), Tokyo Broadcasting System (TBS), and Chubu-Nippon Broadcasting (CBC) in Japan. The first ten episodes aired weekly without interruption and were made available for streaming on Nico Nico Douga and BIGLOBE 's Anime One service. That March,

5427-430: A violation of the second law of thermodynamics, since he does not possess information about variable X {\textstyle X} and its influence on the system. In other words, one must choose a complete set of macroscopic variables to describe the system, i.e. every independent parameter that may change during experiment. Entropy can also be defined for any Markov processes with reversible dynamics and

5628-491: A word that meant the same thing to everybody: nothing". Any method involving the notion of entropy, the very existence of which depends on the second law of thermodynamics, will doubtless seem to many far-fetched, and may repel beginners as obscure and difficult of comprehension. Willard Gibbs , Graphical Methods in the Thermodynamics of Fluids The concept of entropy is described by two principal approaches,

5829-680: Is compressed rather than protruded , or simply unrounded. Some Japanese consonants have several allophones , which may give the impression of a larger inventory of sounds. However, some of these allophones have since become phonemic. For example, in the Japanese language up to and including the first half of the 20th century, the phonemic sequence /ti/ was palatalized and realized phonetically as [tɕi] , approximately chi ( listen ) ; however, now [ti] and [tɕi] are distinct, as evidenced by words like tī [tiː] "Western-style tea" and chii [tɕii] "social status". The "r" of

6030-493: Is quasistatic (i.e., it occurs without any dissipation, deviating only infinitesimally from the thermodynamic equilibrium), and it may conserve total entropy. For example, in the Carnot cycle , while the heat flow from a hot reservoir to a cold reservoir represents the increase in the entropy in a cold reservoir, the work output, if reversibly and perfectly stored, represents the decrease in the entropy which could be used to operate

6231-421: Is topic–comment . Sentence-final particles are used to add emotional or emphatic impact, or form questions. Nouns have no grammatical number or gender , and there are no articles . Verbs are conjugated , primarily for tense and voice , but not person . Japanese adjectives are also conjugated. Japanese has a complex system of honorifics , with verb forms and vocabulary to indicate the relative status of

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6432-407: Is a density matrix , t r {\displaystyle \mathrm {tr} } is a trace operator and ln {\displaystyle \ln } is a matrix logarithm . Density matrix formalism is not required if the system occurs to be in a thermal equilibrium so long as the basis states are chosen to be eigenstates of Hamiltonian . For most practical purposes it can be taken as

6633-562: Is a logarithmic measure for the system with a number of states, each with a probability p i {\textstyle p_{i}} of being occupied (usually given by the Boltzmann distribution ): S = − k B ∑ i p i ln ⁡ p i {\displaystyle S=-k_{\mathsf {B}}\sum _{i}{p_{i}\ln {p_{i}}}} where k B {\textstyle k_{\mathsf {B}}}

6834-576: Is a scientific concept that is most commonly associated with a state of disorder, randomness, or uncertainty. The term and the concept are used in diverse fields, from classical thermodynamics , where it was first recognized, to the microscopic description of nature in statistical physics , and to the principles of information theory . It has found far-ranging applications in chemistry and physics , in biological systems and their relation to life, in cosmology , economics , sociology , weather science , climate change , and information systems including

7035-406: Is a function of state makes it useful. In the Carnot cycle , the working fluid returns to the same state that it had at the start of the cycle, hence the change or line integral of any state function, such as entropy, over this reversible cycle is zero. The entropy change d S {\textstyle \mathrm {d} S} of a system excluding its surroundings can be well-defined as

7236-456: Is a temperature difference between reservoirs. Originally, Carnot did not distinguish between heats Q H {\textstyle Q_{\mathsf {H}}} and Q C {\textstyle Q_{\mathsf {C}}} , as he assumed caloric theory to be valid and hence that the total heat in the system was conserved. But in fact, the magnitude of heat Q H {\textstyle Q_{\mathsf {H}}}

7437-448: Is also seen in o-medetō "congratulations", from medetaku ). Late Middle Japanese has the first loanwords from European languages – now-common words borrowed into Japanese in this period include pan ("bread") and tabako ("tobacco", now "cigarette"), both from Portuguese . Modern Japanese is considered to begin with the Edo period (which spanned from 1603 to 1867). Since Old Japanese,

7638-527: Is also used in a limited fashion (such as for imported acronyms) in Japanese writing. The numeral system uses mostly Arabic numerals , but also traditional Chinese numerals . Proto-Japonic , the common ancestor of the Japanese and Ryukyuan languages , is thought to have been brought to Japan by settlers coming from the Korean peninsula sometime in the early- to mid-4th century BC (the Yayoi period ), replacing

7839-411: Is an age where entertainment basically is about soothing and healing, like adopting a style where unchanging day-to-day life is to continue forever". In an interview with Ultra Jump Egg , Urobuchi gave insight into his writing philosophy, stating that he believed the overarching plot of a story was more important than its characters. He said he would first determine the actions and the ultimate fate of

8040-440: Is appropriate to use sensei ( 先生 , "teacher"), but inappropriate to use anata . This is because anata is used to refer to people of equal or lower status, and one's teacher has higher status. Japanese nouns have no grammatical number, gender or article aspect. The noun hon ( 本 ) may refer to a single book or several books; hito ( 人 ) can mean "person" or "people", and ki ( 木 ) can be "tree" or "trees". Where number

8241-701: Is associated with comedy (see Kansai dialect ). Dialects of Tōhoku and North Kantō are associated with typical farmers. The Ryūkyūan languages, spoken in Okinawa and the Amami Islands (administratively part of Kagoshima ), are distinct enough to be considered a separate branch of the Japonic family; not only is each language unintelligible to Japanese speakers, but most are unintelligible to those who speak other Ryūkyūan languages. However, in contrast to linguists, many ordinary Japanese people tend to consider

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8442-464: Is being made available for import by Aniplex of America. The third film, titled Rebellion ( 叛逆の物語 , Hangyaku no Monogatari ) , features a new story written by Urobuchi and acts as a sequel to the television series. It was released to Japanese theaters on October 26, 2013. The film received a North American imported release on December 3, 2013. The first and second films were re-released with an English dub on July 15, 2014. A short concept film for

8643-466: Is better documentation of Late Middle Japanese phonology than for previous forms (for instance, the Arte da Lingoa de Iapam ). Among other sound changes, the sequence /au/ merges to /ɔː/ , in contrast with /oː/ ; /p/ is reintroduced from Chinese; and /we/ merges with /je/ . Some forms rather more familiar to Modern Japanese speakers begin to appear – the continuative ending - te begins to reduce onto

8844-509: Is correlated with the sex of the speaker and the social situation in which they are spoken: men and women alike in a formal situation generally refer to themselves as watashi ( 私 , literally "private") or watakushi (also 私 , hyper-polite form), while men in rougher or intimate conversation are much more likely to use the word ore ( 俺 "oneself", "myself") or boku . Similarly, different words such as anata , kimi , and omae ( お前 , more formally 御前 "the one before me") may refer to

9045-452: Is greater than the magnitude of heat Q C {\textstyle Q_{\mathsf {C}}} . Through the efforts of Clausius and Kelvin , the work W {\textstyle W} done by a reversible heat engine was found to be the product of the Carnot efficiency (i.e., the efficiency of all reversible heat engines with the same pair of thermal reservoirs) and

9246-417: Is important, it can be indicated by providing a quantity (often with a counter word ) or (rarely) by adding a suffix, or sometimes by duplication (e.g. 人人 , hitobito , usually written with an iteration mark as 人々 ). Words for people are usually understood as singular. Thus Tanaka-san usually means Mx Tanaka . Words that refer to people and animals can be made to indicate a group of individuals through

9447-414: Is known that a work W > 0 {\textstyle W>0} produced by an engine over a cycle equals to a net heat Q Σ = | Q H | − | Q C | {\textstyle Q_{\Sigma }=\left\vert Q_{\mathsf {H}}\right\vert -\left\vert Q_{\mathsf {C}}\right\vert } absorbed over a cycle. Thus, with

9648-755: Is less common. In terms of mutual intelligibility , a survey in 1967 found that the four most unintelligible dialects (excluding Ryūkyūan languages and Tōhoku dialects ) to students from Greater Tokyo were the Kiso dialect (in the deep mountains of Nagano Prefecture ), the Himi dialect (in Toyama Prefecture ), the Kagoshima dialect and the Maniwa dialect (in Okayama Prefecture ). The survey

9849-510: Is now known as heat) falls through a temperature difference, work or motive power can be produced from the actions of its fall from a hot to cold body. He used an analogy with how water falls in a water wheel . That was an early insight into the second law of thermodynamics . Carnot based his views of heat partially on the early 18th-century "Newtonian hypothesis" that both heat and light were types of indestructible forms of matter, which are attracted and repelled by other matter, and partially on

10050-420: Is often called a topic-prominent language , which means it has a strong tendency to indicate the topic separately from the subject, and that the two do not always coincide. The sentence Zō wa hana ga nagai ( 象は鼻が長い ) literally means, "As for elephant(s), (the) nose(s) (is/are) long". The topic is zō "elephant", and the subject is hana "nose". Japanese grammar tends toward brevity; the subject or object of

10251-406: Is one with a fixed volume, number of molecules, and internal energy, called a microcanonical ensemble . The most general interpretation of entropy is as a measure of the extent of uncertainty about a system. The equilibrium state of a system maximizes the entropy because it does not reflect all information about the initial conditions, except for the conserved variables. This uncertainty is not of

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10452-498: Is preserved in words such as matsuge ("eyelash", lit. "hair of the eye"); modern mieru ("to be visible") and kikoeru ("to be audible") retain a mediopassive suffix - yu(ru) ( kikoyu → kikoyuru (the attributive form, which slowly replaced the plain form starting in the late Heian period) → kikoeru (all verbs with the shimo-nidan conjugation pattern underwent this same shift in Early Modern Japanese )); and

10653-506: Is regarded by the fan community now, but it feels like a masterpiece, something to be appreciated again and again. It is a must-see for anyone remotely interested in what anime can accomplish as an art form". Awarding the series five stars out of five, Common Sense Media wrote that the "animation style is full of fluid motion and attention to detail that makes it a uniquely pleasurable experience to watch" and "the main characters [are] well developed and its hard not to get attached to them as

10854-600: Is serialized in Manga Time Kirara Magica ; its first volume was released in October 2013 and was licensed by Yen Press. Puella Magi Homura's Revenge! ( 魔法少女まどか☆マギカ ほむらリベンジ! ) , written by Kawazukuu and illustrated by Masugitsune, was serialized in Manga Time Kirara Magica and released two volumes in December 2013; Yen Press licensed the manga. Hajime Ninomae wrote a novel adaptation of the series that

11055-576: Is that energy may not flow to and from an isolated system, but energy flow to and from a closed system is possible. Nevertheless, for both closed and isolated systems, and indeed, also in open systems, irreversible thermodynamics processes may occur. According to the Clausius equality , for a reversible cyclic thermodynamic process: ∮ δ Q r e v T = 0 {\displaystyle \oint {\frac {\delta Q_{\mathsf {rev}}}{T}}=0} which means

11256-567: Is the Boltzmann constant and the summation is performed over all possible microstates of the system. In case states are defined in a continuous manner, the summation is replaced by an integral over all possible states, or equivalently we can consider the expected value of the logarithm of the probability that a microstate is occupied: S = − k B ⟨ ln ⁡ p ⟩ {\displaystyle S=-k_{\mathsf {B}}\left\langle \ln {p}\right\rangle } This definition assumes

11457-405: Is the number of microstates whose energy equals to the one of the system. Usually, this assumption is justified for an isolated system in a thermodynamic equilibrium. Then in case of an isolated system the previous formula reduces to: S = k B ln ⁡ Ω {\displaystyle S=k_{\mathsf {B}}\ln {\Omega }} In thermodynamics, such a system

11658-665: Is the principal language of the Japonic language family spoken by the Japanese people . It has around 123 million speakers, primarily in Japan , the only country where it is the national language , and within the Japanese diaspora worldwide. The Japonic family also includes the Ryukyuan languages and the variously classified Hachijō language . There have been many attempts to group the Japonic languages with other families such as

11859-402: Is the version of Japanese discussed in this article. Formerly, standard Japanese in writing ( 文語 , bungo , "literary language") was different from colloquial language ( 口語 , kōgo ) . The two systems have different rules of grammar and some variance in vocabulary. Bungo was the main method of writing Japanese until about 1900; since then kōgo gradually extended its influence and

12060-471: Is used for the present and the future. For verbs that represent an ongoing process, the -te iru form indicates a continuous (or progressive) aspect , similar to the suffix ing in English. For others that represent a change of state, the -te iru form indicates a perfect aspect. For example, kite iru means "They have come (and are still here)", but tabete iru means "They are eating". Questions (both with an interrogative pronoun and yes/no questions) have

12261-405: Is why some linguists do not classify Japanese "pronouns" as pronouns, but rather as referential nouns, much like Spanish usted (contracted from vuestra merced , "your ( majestic plural ) grace") or Portuguese você (from vossa mercê ). Japanese personal pronouns are generally used only in situations requiring special emphasis as to who is doing what to whom. The choice of words used as pronouns

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12462-566: Is zero too, since the inversion of a heat transfer direction means a sign inversion for the heat transferred during isothermal stages: − Q H T H − Q C T C = Δ S r , H + Δ S r , C = 0 {\displaystyle -{\frac {Q_{\mathsf {H}}}{T_{\mathsf {H}}}}-{\frac {Q_{\mathsf {C}}}{T_{\mathsf {C}}}}=\Delta S_{\mathsf {r,H}}+\Delta S_{\mathsf {r,C}}=0} Here we denote

12663-563: The Ainu , Austronesian , Koreanic , and the now-discredited Altaic , but none of these proposals have gained any widespread acceptance. Little is known of the language's prehistory, or when it first appeared in Japan. Chinese documents from the 3rd century AD recorded a few Japanese words, but substantial Old Japanese texts did not appear until the 8th century. From the Heian period (794–1185), extensive waves of Sino-Japanese vocabulary entered

12864-462: The Japonic language family, which also includes the Ryukyuan languages spoken in the Ryukyu Islands . As these closely related languages are commonly treated as dialects of the same language, Japanese is sometimes called a language isolate . According to Martine Irma Robbeets , Japanese has been subject to more attempts to show its relation to other languages than any other language in

13065-514: The Philippines , and various Pacific islands, locals in those countries learned Japanese as the language of the empire. As a result, many elderly people in these countries can still speak Japanese. Japanese emigrant communities (the largest of which are to be found in Brazil , with 1.4 million to 1.5 million Japanese immigrants and descendants, according to Brazilian IBGE data, more than

13266-479: The PlayStation Portable was released by Namco Bandai Games on March 15, 2012. The game allows players to take many routes and change the ending of the story. Urobuchi returned as the writer and Shaft animated the title, while Yusuke Tomizawa and Yoshinao Doi produced it. The game was released in two editions; a standard box including a bonus DVD, and a limited edition box containing a Madoka Figma ,

13467-738: The United States (notably in Hawaii , where 16.7% of the population has Japanese ancestry, and California ), and the Philippines (particularly in Davao Region and the Province of Laguna ). Japanese has no official status in Japan, but is the de facto national language of the country. There is a form of the language considered standard : hyōjungo ( 標準語 ) , meaning "standard Japanese", or kyōtsūgo ( 共通語 ) , "common language", or even "Tokyo dialect" at times. The meanings of

13668-806: The de facto standard Japanese had been the Kansai dialect , especially that of Kyoto . However, during the Edo period, Edo (now Tokyo) developed into the largest city in Japan, and the Edo-area dialect became standard Japanese. Since the end of Japan's self-imposed isolation in 1853, the flow of loanwords from European languages has increased significantly. The period since 1945 has seen many words borrowed from other languages—such as German, Portuguese and English. Many English loan words especially relate to technology—for example, pasokon (short for "personal computer"), intānetto ("internet"), and kamera ("camera"). Due to

13869-433: The detailed balance property. In Boltzmann's 1896 Lectures on Gas Theory , he showed that this expression gives a measure of entropy for systems of atoms and molecules in the gas phase, thus providing a measure for the entropy of classical thermodynamics. Entropy arises directly from the Carnot cycle . It can also be described as the reversible heat divided by temperature. Entropy is a fundamental function of state. In

14070-479: The heat death of the universe . Madoka also learns that Homura is a magical girl from a different timeline who has repeated the same month countless times to try to save Madoka from a grisly fate. Madoka and Kyoko attempt to reverse Sayaka's transformation, but the plan fails and Kyoko is forced to sacrifice herself to allow Madoka to escape, leaving Homura as the only remaining magical girl. Following this, an extremely powerful witch known as Walpurgisnacht approaches

14271-527: The 1.2 million of the United States ) sometimes employ Japanese as their primary language. Approximately 12% of Hawaii residents speak Japanese, with an estimated 12.6% of the population of Japanese ancestry in 2008. Japanese emigrants can also be found in Peru , Argentina , Australia (especially in the eastern states), Canada (especially in Vancouver , where 1.4% of the population has Japanese ancestry),

14472-509: The 29th best-selling anime CD album of the year. Japanese newspaper Nihon Keizai Shimbun reported that Puella Magi Madoka Magica had grossed over ¥40 billion ( $ 400 million ) from the sales of related goods within two years of its release. A live broadcast of the entire series was streamed on Nico Nico Douga on June 18, 2011, garnering around a million viewers, surpassing the previous streaming audience record of 570,000 held by Lucky Star . According to Google Zeitgeist , Madoka Magica

14673-527: The Carnot efficiency Kelvin had to evaluate the ratio of the work output to the heat absorbed during the isothermal expansion with the help of the Carnot–Clapeyron equation, which contained an unknown function called the Carnot function. The possibility that the Carnot function could be the temperature as measured from a zero point of temperature was suggested by Joule in a letter to Kelvin. This allowed Kelvin to establish his absolute temperature scale. It

14874-557: The French mathematician Lazare Carnot proposed that in any machine, the accelerations and shocks of the moving parts represent losses of moment of activity ; in any natural process there exists an inherent tendency towards the dissipation of useful energy. In 1824, building on that work, Lazare's son, Sadi Carnot , published Reflections on the Motive Power of Fire , which posited that in all heat-engines, whenever " caloric " (what

15075-486: The Japanese language is of particular interest, ranging between an apical central tap and a lateral approximant . The "g" is also notable; unless it starts a sentence, it may be pronounced [ ŋ ] , in the Kanto prestige dialect and in other eastern dialects. The phonotactics of Japanese are relatively simple. The syllable structure is (C)(G)V(C), that is, a core vowel surrounded by an optional onset consonant,

15276-485: The North Star . Precisely because of the way they died, they were able to live forever." Urobuchi stated that Sayaka was his favorite character overall and said her plotline was the most enjoyable to write. Shinbo believed that Sayaka's grim fate by the end of the series was a slightly unfair destiny, and asked Urobuchi if it was possible to change the plot so Sayaka could be spared. Urobuchi declined, saying her death

15477-736: The Old Japanese sections are written in Man'yōgana , which uses kanji for their phonetic as well as semantic values. Based on the Man'yōgana system, Old Japanese can be reconstructed as having 88 distinct morae . Texts written with Man'yōgana use two different sets of kanji for each of the morae now pronounced き (ki), ひ (hi), み (mi), け (ke), へ (he), め (me), こ (ko), そ (so), と (to), の (no), も (mo), よ (yo) and ろ (ro). (The Kojiki has 88, but all later texts have 87. The distinction between mo 1 and mo 2 apparently

15678-686: The PSP game Gods Eater Burst . Costumes and accessories are also available as DLC for Tales of Xillia 2 , and were available for Phantasy Star Online 2 in October 2013. Another collaboration with the mobile game Phantom of the Kill took place for an event that ran from August 8, 2015 to September 21, 2015. During that campaign, players had a chance of obtaining playable Madoka characters through in-game lotteries. Puella Magi Madoka Magica -themed missions, weapons and items were also available at that time. A pachinko game titled Slot Puella Magi Madoka Magica

15879-488: The Ryūkyūan languages as dialects of Japanese. The imperial court also seems to have spoken an unusual variant of the Japanese of the time, most likely the spoken form of Classical Japanese , a writing style that was prevalent during the Heian period , but began to decline during the late Meiji period . The Ryūkyūan languages are classified by UNESCO as 'endangered', as young people mostly use Japanese and cannot understand

16080-591: The Selection Committee Special Prize award at the 2012 Licensing of the Year awards. Madoka Magica was awarded a 43rd Seiun Award for "Best Media" at the 2012 Japan Science Fiction Convention ; and was also awarded a Sisterhood Prize for the 11th Sense of Gender Awards . In 2015, the show was awarded the inaugural 1st Sugoi Japan Award Grand Prix; Japan's nationwide vote for manga, anime, and novels considered as cultural assets that have

16281-519: The Shaft animation studio as "hitmakers" and described the anime as "a series designed for acclaim". TechnologyTell' s Jenni Lada wrote that the show's external appearance belied its true "darker and more twisted" essence. She recommended viewers watch at least three episodes to discover the series' true nature. According to Sara Cleto and Erin Bah, the subversion of the magical girl genre "draw[s] attention to

16482-543: The addition of a collective suffix (a noun suffix that indicates a group), such as -tachi , but this is not a true plural: the meaning is closer to the English phrase "and company". A group described as Tanaka-san-tachi may include people not named Tanaka. Some Japanese nouns are effectively plural, such as hitobito "people" and wareware "we/us", while the word tomodachi "friend" is considered singular, although plural in form. Verbs are conjugated to show tenses, of which there are two: past and present (or non-past) which

16683-549: The anguish and peril associated with their new roles. The first ten episodes of the series aired on TBS and MBS between January and March 2011, while the final two episodes were delayed until April of the same year due to the Tōhoku earthquake and tsunami . A manga adaptation of the anime and various spin-off manga have been published by Houbunsha and licensed in North America by Yen Press . A novelization by Nitroplus

16884-774: The anime television series featuring re-recorded voices and some new animation. The first film, which covers the first eight episodes of the television series, was released in theaters on October 6, 2012, while the second film, which covers the last four episodes, was released on October 13, 2012. The first two films were screened in selected locations in the United States and seven other countries between October 2012 and February 2013; they were also screened at Anime Festival Asia between November 10 and 11, 2012, in Singapore. The two films were released on Blu-ray Disc and DVD on July 30, 2013, in standard and collector's edition sets and

17085-427: The appearance of Kyoko Sakura , a veteran magical girl whose wish unintentionally caused the death of her family. Madoka also discovers magical girls give up their souls to form Soul Gems, the source of their magic. When a Soul Gem becomes too tainted with despair, it turns into a Grief Seed, which "hatches into" a witch. Sayaka decides to become a magical girl after learning that doing so would allow her to heal Kyosuke,

17286-541: The basis states to be picked in a way that there is no information on their relative phases. In a general case the expression is: S = − k B   t r ( ρ ^ × ln ⁡ ρ ^ ) {\displaystyle S=-k_{\mathsf {B}}\ \mathrm {tr} {\left({\hat {\rho }}\times \ln {\hat {\rho }}\right)}} where ρ ^ {\textstyle {\hat {\rho }}}

17487-615: The character to monsters in the works of horror fiction author H. P. Lovecraft , commenting of Kyubey: "he ( sic ) isn't evil, it is his lack of feelings that make him scary". Urobuchi also remarked upon the moral ambiguity the series displays in an interview with Asahi Shimbun , stating "Al-Qaeda brought down the Twin Towers due to their self-righteousness. Justice for some people is an evil for others. Good intentions, kindness, and hope will not necessarily make people happy." Due to unforeseen scheduling problems at Shaft, production of

17688-510: The characters tragic arc—particularly Sayaka and Homura. He further praised the series for offering "unique, grim twist that not only seeps the show in despair, but subverts the subgenre", concluding that Madoka Magica "stands as one of the best works of anime horror, presenting characters that must strive to find hope through profound darkness." THEM Anime Reviews reviewer Tim Jones called it "beautiful, well-written, and surprisingly dark", and gave it four out of five stars. Jones also commended

17889-400: The city. Homura attempts to stop it but is defeated. She begins to lose hope and is on the verge of becoming a witch when Madoka arrives. With the past month's events in mind, Madoka decides to become a magical girl, despite Homura's efforts to stop her. She wishes to stop the creation of all witches in the past, present, and future. The paradoxical nature of her wish causes her to transcend into

18090-414: The complex and multi-layered plot. Hanley called it the greatest television anime series of the 21st century thus far. Scott Green of Ain't It Cool News called the series "hugely admirable"; he praised the animation team's attention to detail, stating that the series "would not work nearly as well if the characters in general and as magical girls specifically weren't presented so spectacularly winningly by

18291-410: The concept, providing an explanation and a deeper understanding of its nature. The interpretation of entropy in statistical mechanics is the measure of uncertainty, disorder, or mixedupness in the phrase of Gibbs , which remains about a system after its observable macroscopic properties, such as temperature, pressure and volume, have been taken into account. For a given set of macroscopic variables,

18492-403: The contemporary views of Count Rumford , who showed in 1789 that heat could be created by friction, as when cannon bores are machined. Carnot reasoned that if the body of the working substance, such as a body of steam, is returned to its original state at the end of a complete engine cycle , "no change occurs in the condition of the working body". The first law of thermodynamics , deduced from

18693-447: The death of Mami, the main character's 'mentor'. This decision was controversial; Urobuchi said production staff continually approached him and asked him to reconsider because of their fondness for the character. He refused and the plot remained unchanged during production. Urobuchi realized this progression could be very hard for viewers to accept and might hurt the overall series' success with some audiences; he said, "I always thought this

18894-440: The derivation of internal energy, this equality implies existence of a state function S {\textstyle S} with a change of d S = δ Q / T {\textstyle \mathrm {d} S=\delta Q/T} and which is conserved over an entire cycle. Clausius called this state function entropy . In addition, the total change of entropy in both thermal reservoirs over Carnot cycle

19095-450: The description of devices operating near the limit of de Broglie waves , e.g. photovoltaic cells , have to be consistent with quantum statistics . The thermodynamic definition of entropy was developed in the early 1850s by Rudolf Clausius and essentially describes how to measure the entropy of an isolated system in thermodynamic equilibrium with its parts. Clausius created the term entropy as an extensive thermodynamic variable that

19296-483: The dimension of energy divided by temperature, and the unit joule per kelvin (J/K) in the International System of Units (SI). To find the entropy difference between any two states of the system, the integral must be evaluated for some reversible path between the initial and final states. Since an entropy is a state function, the entropy change of the system for an irreversible path is the same as for

19497-578: The effect of changing Japanese into a mora-timed language. Late Middle Japanese covers the years from 1185 to 1600, and is normally divided into two sections, roughly equivalent to the Kamakura period and the Muromachi period , respectively. The later forms of Late Middle Japanese are the first to be described by non-native sources, in this case the Jesuit and Franciscan missionaries; and thus there

19698-446: The entropy change for a thermal reservoir by Δ S r , i = − Q i / T i {\textstyle \Delta S_{{\mathsf {r}},i}=-Q_{i}/T_{i}} , where i {\textstyle i} is either H {\textstyle {\mathsf {H}}} for a hot reservoir or C {\textstyle {\mathsf {C}}} for

19899-409: The entropy measures the degree to which the probability of the system is spread out over different possible microstates . In contrast to the macrostate, which characterizes plainly observable average quantities, a microstate specifies all molecular details about the system including the position and momentum of every molecule. The more such states are available to the system with appreciable probability,

20100-825: The everyday subjective kind, but rather the uncertainty inherent to the experimental method and interpretative model. The interpretative model has a central role in determining entropy. The qualifier "for a given set of macroscopic variables" above has deep implications when two observers use different sets of macroscopic variables. For example, consider observer A using variables U {\textstyle U} , V {\textstyle V} , W {\textstyle W} and observer B using variables U {\textstyle U} , V {\textstyle V} , W {\textstyle W} , X {\textstyle X} . If observer B changes variable X {\textstyle X} , then observer A will see

20301-403: The first volume's record. Each subsequent volume sold over 50,000 copies in their first week. As of October 2012, the total sales of BD and DVDs of the series recorded 600,000 copies, which was unusual for a late-night program at that time. This was despite controversy over the pricing of the volumes, which some considered to be unfairly high. The staff at Japanator stated they could not recommend

20502-455: The flow of loanwords from European languages increased significantly, and words from English roots have proliferated. Japanese is an agglutinative , mora -timed language with relatively simple phonotactics , a pure vowel system, phonemic vowel and consonant length, and a lexically significant pitch-accent . Word order is normally subject–object–verb with particles marking the grammatical function of words, and sentence structure

20703-536: The fundamental definition of entropy since all other formulae for S {\textstyle S} can be derived from it, but not vice versa. In what has been called the fundamental postulate in statistical mechanics , among system microstates of the same energy (i.e., degenerate microstates ) each microstate is assumed to be populated with equal probability p i = 1 / Ω {\textstyle p_{i}=1/\Omega } , where Ω {\textstyle \Omega }

20904-609: The genitive particle ga remains in intentionally archaic speech. Early Middle Japanese is the Japanese of the Heian period , from 794 to 1185. It formed the basis for the literary standard of Classical Japanese , which remained in common use until the early 20th century. During this time, Japanese underwent numerous phonological developments, in many cases instigated by an influx of Chinese loanwords . These included phonemic length distinction for both consonants and vowels , palatal consonants (e.g. kya ) and labial consonant clusters (e.g. kwa ), and closed syllables . This had

21105-438: The greater the entropy. In statistical mechanics, entropy is a measure of the number of ways a system can be arranged, often taken to be a measure of "disorder" (the higher the entropy, the higher the disorder). This definition describes the entropy as being proportional to the natural logarithm of the number of possible microscopic configurations of the individual atoms and molecules of the system ( microstates ) that could cause

21306-437: The heat Q C {\textstyle Q_{\mathsf {C}}} is transferred from a working gas to a cold reservoir at the constant temperature T C {\textstyle T_{\mathsf {C}}} during isothermal compression stage. According to Carnot's theorem , a heat engine with two thermal reservoirs can produce a work W {\textstyle W} if and only if there

21507-605: The heat Q H {\textstyle Q_{\mathsf {H}}} absorbed by a working body of the engine during isothermal expansion: W = T H − T C T H ⋅ Q H = ( 1 − T C T H ) Q H {\displaystyle W={\frac {T_{\mathsf {H}}-T_{\mathsf {C}}}{T_{\mathsf {H}}}}\cdot Q_{\mathsf {H}}=\left(1-{\frac {T_{\mathsf {C}}}{T_{\mathsf {H}}}}\right)Q_{\mathsf {H}}} To derive

21708-438: The heat engine in reverse, returning to the initial state; thus the total entropy change may still be zero at all times if the entire process is reversible. In contrast, irreversible process increases the total entropy of the system and surroundings. Any process that happens quickly enough to deviate from the thermal equilibrium cannot be reversible, the total entropy increases, and the potential for maximum work to be done during

21909-434: The heat-friction experiments of James Joule in 1843, expresses the concept of energy and its conservation in all processes; the first law, however, is unsuitable to separately quantify the effects of friction and dissipation . In the 1850s and 1860s, German physicist Rudolf Clausius objected to the supposition that no change occurs in the working body, and gave that change a mathematical interpretation, by questioning

22110-422: The hint that at each stage of the cycle the difference between a work and a net heat would be conserved, rather than a net heat itself. Which means there exists a state function U {\textstyle U} with a change of d U = δ Q − d W {\textstyle \mathrm {d} U=\delta Q-\mathrm {d} W} . It is called an internal energy and forms

22311-424: The initial pacing of the series, Urobuchi used a technique he credited to Kuroda. The first episode would throw the viewer into a specific part of the story with unknown context. The second episode would define the rules governing the story's setting. The third episode would divulge the revelation in the plot to hook the viewer. The twist in the third episode was determined during the project proposal stage and involves

22512-430: The language, affecting the phonology of Early Middle Japanese . Late Middle Japanese (1185–1600) saw extensive grammatical changes and the first appearance of European loanwords . The basis of the standard dialect moved from the Kansai region to the Edo region (modern Tokyo ) in the Early Modern Japanese period (early 17th century–mid 19th century). Following the end of Japan's self-imposed isolation in 1853,

22713-458: The languages of the original Jōmon inhabitants, including the ancestor of the modern Ainu language . Because writing had yet to be introduced from China, there is no direct evidence, and anything that can be discerned about this period must be based on internal reconstruction from Old Japanese , or comparison with the Ryukyuan languages and Japanese dialects . The Chinese writing system

22914-449: The languages. Okinawan Japanese is a variant of Standard Japanese influenced by the Ryūkyūan languages, and is the primary dialect spoken among young people in the Ryukyu Islands . Modern Japanese has become prevalent nationwide (including the Ryūkyū islands) due to education , mass media , and an increase in mobility within Japan, as well as economic integration. Japanese is a member of

23115-427: The large quantity of English loanwords, modern Japanese has developed a distinction between [tɕi] and [ti] , and [dʑi] and [di] , with the latter in each pair only found in loanwords. Although Japanese is spoken almost exclusively in Japan, it has also been spoken outside of the country. Before and during World War II , through Japanese annexation of Taiwan and Korea , as well as partial occupation of China ,

23316-508: The line integral ∫ L δ Q r e v / T {\textstyle \int _{L}{\delta Q_{\mathsf {rev}}/T}} is path-independent . Thus we can define a state function S {\textstyle S} , called entropy : d S = δ Q r e v T {\displaystyle \mathrm {d} S={\frac {\delta Q_{\mathsf {rev}}}{T}}} Therefore, thermodynamic entropy has

23517-421: The link between the microscopic interactions, which fluctuate about an average configuration, to the macroscopically observable behavior, in form of a simple logarithmic law, with a proportionality constant , the Boltzmann constant , that has become one of the defining universal constants for the modern International System of Units (SI). In his 1803 paper Fundamental Principles of Equilibrium and Movement ,

23718-405: The macroscopic perspective of classical thermodynamics , and the microscopic description central to statistical mechanics . The classical approach defines entropy in terms of macroscopically measurable physical properties, such as bulk mass, volume, pressure, and temperature. The statistical definition of entropy defines it in terms of the statistics of the motions of the microscopic constituents of

23919-454: The magical girl genre and builds an emotional narrative filled with memorable characters". Joshua Greenberg of The Daily Bruin described it as "a creepy, deconstructionist take on the [magical girl] genre." The first Blu-ray volume of the series sold 53,000 copies in its first week, 22,000 of which were sold on its first day, breaking the record held by the sixth BD volume of Bakemonogatari . The second volume sold 54,000 copies, breaking

24120-605: The magical girl subgenre. It became a commercial success; each Blu-ray Disc volume sold more than 50,000 copies in Japan. The series garnered a variety of awards, such as the Television Award at the 16th Animation Kobe Award, as well as 12 Newtype Anime Awards and the Grand Prize for the Animation Division at the 15th Japan Media Arts Festival in 2011. In the fictional city of Mitakihara, Japan,

24321-463: The main witches, Walpurgisnacht, he said; "How can Homura possibly fight against something like this?" Designers from Shaft added quotations from the German folklorist Faust to the series. Throughout production, the animation production team Gekidan Inu Curry had freedom to insert new details and to modify existing ones from the original script; for example, during a scene in the final episode in which

24522-494: The more compelling to watch". Liz Ohanesian of LA Weekly attributed the series' popularity with older, male audiences—an otherwise unusual demographic to the genre—to the genre deconstruction of Puella Magi Madoka Magica . She also commented on the series' cultural impact, writing that in Japan and the US there has been incredible fan interest for the series. She credited the all-star crew including writer Urobuchi, director Shinbo, and

24723-424: The name of U , but preferring the term entropy as a close parallel of the word energy , as he found the concepts nearly "analogous in their physical significance". This term was formed by replacing the root of ἔργον ('ergon', 'work') by that of τροπή ('tropy', 'transformation'). In more detail, Clausius explained his choice of "entropy" as a name as follows: I prefer going to the ancient languages for

24924-416: The name of that property as entropy . The word was adopted into the English language in 1868. Later, scientists such as Ludwig Boltzmann , Josiah Willard Gibbs , and James Clerk Maxwell gave entropy a statistical basis. In 1877, Boltzmann visualized a probabilistic way to measure the entropy of an ensemble of ideal gas particles, in which he defined entropy as proportional to the natural logarithm of

25125-464: The names of important scientific quantities, so that they may mean the same thing in all living tongues. I propose, therefore, to call S the entropy of a body, after the Greek word "transformation". I have designedly coined the word entropy to be similar to energy, for these two quantities are so analogous in their physical significance, that an analogy of denominations seems to me helpful. Leon Cooper added that in this way "he succeeded in coining

25326-478: The nature of the inherent loss of usable heat when work is done, e.g., heat produced by friction. He described his observations as a dissipative use of energy, resulting in a transformation-content ( Verwandlungsinhalt in German), of a thermodynamic system or working body of chemical species during a change of state . That was in contrast to earlier views, based on the theories of Isaac Newton , that heat

25527-491: The number of microstates such a gas could occupy. The proportionality constant in this definition, called the Boltzmann constant , has become one of the defining universal constants for the modern International System of Units (SI). Henceforth, the essential problem in statistical thermodynamics has been to determine the distribution of a given amount of energy E over N identical systems. Constantin Carathéodory ,

25728-634: The observed macroscopic state ( macrostate ) of the system. The constant of proportionality is the Boltzmann constant . The Boltzmann constant, and therefore entropy, have dimensions of energy divided by temperature, which has a unit of joules per kelvin (J⋅K ) in the International System of Units (or kg⋅m ⋅s ⋅K in terms of base units). The entropy of a substance is usually given as an intensive property — either entropy per unit mass (SI unit: J⋅K ⋅kg ) or entropy per unit amount of substance (SI unit: J⋅K ⋅mol ). Specifically, entropy

25929-425: The only strict rule of word order is that the verb must be placed at the end of a sentence (possibly followed by sentence-end particles). This is because Japanese sentence elements are marked with particles that identify their grammatical functions. The basic sentence structure is topic–comment . For example, Kochira wa Tanaka-san desu ( こちらは田中さんです ). kochira ("this") is the topic of the sentence, indicated by

26130-470: The out-group gives a benefit to the in-group, and "up" to indicate the in-group gives a benefit to the out-group. Here, the in-group includes the speaker and the out-group does not, and their boundary depends on context. For example, oshiete moratta ( 教えてもらった ) (literally, "explaining got" with a benefit from the out-group to the in-group) means "[he/she/they] explained [it] to [me/us]". Similarly, oshiete ageta ( 教えてあげた ) (literally, "explaining gave" with

26331-415: The particle wa . The verb desu is a copula , commonly translated as "to be" or "it is" (though there are other verbs that can be translated as "to be"), though technically it holds no meaning and is used to give a sentence 'politeness'. As a phrase, Tanaka-san desu is the comment. This sentence literally translates to "As for this person, (it) is Mx Tanaka." Thus Japanese, like many other Asian languages,

26532-405: The path of the story. In describing his interactions with Iwakami and Shinbo while working on the series, Urobuchi commented that "neither one is the type to show their hand, they would always wait for me to make the next move". To create a successful deconstruction of the magical girl genre, Urobuchi studied aspects of traditional magical girl media that were "troubling or overlooked". He also stated

26733-438: The planned broadcasts of the last two episodes were halted because of the 2011 Tōhoku earthquake and tsunami ; TBS also canceled its scheduled airing of the 10th episode so it could provide more news coverage of the natural disaster. Urobuchi apologized to viewers for the delays; he also said the postponements could be viewed in a positive light because they alleviated some production pressures on animation studio Shaft because of

26934-492: The plot development was heavily influenced by the character drawings by Aoki, and credited horror fiction author Stephen King and Shinbo's previous projects such as Hidamari Sketch and Magical Girl Lyrical Nanoha as inspirations for the series. Urobuchi attributed his experience working on projects with screenwriters Ichiro Itano and Yōsuke Kuroda as a major influence in his writing for Puella Magi Madoka Magica , and has referred to both of them as his mentors. To set

27135-534: The potential to be beloved all over the world, among all of the works published since 2005. In 2017, Madoka Magica was selected as the best anime of 2011 by the Tokyo Anime Award Festival. Multiple media publications have hailed Puella Magi Madoka Magica as one of the best anime series of the 2010s, that includes Polygon ; Thrillist ; Looper ; IGN ; Crunchyroll ; and Anime UK News . The Brazilian website Legiao Dos Herois listed

27336-498: The process is lost. The concept of entropy arose from Rudolf Clausius 's study of the Carnot cycle which is a thermodynamic cycle performed by a Carnot heat engine as a reversible heat engine. In a Carnot cycle the heat Q H {\textstyle Q_{\mathsf {H}}} is transferred from a hot reservoir to a working gas at the constant temperature T H {\textstyle T_{\mathsf {H}}} during isothermal expansion stage and

27537-427: The production". Green also said he would highly recommend Puella Magi Madoka Magica to anyone with an interest in anime. Michael Pementel of Bloody Disgusting called Madoka Magica a "fascinating work", and lauded its dark atmosphere and horror elements. Pementel highly praised the show's aesthetics and wrote that the "pacing in revealing twists" is one of the "show's most exceptional qualities" and also commended

27738-439: The project as a scriptwriter and Ume Aoki as original character designer. Takahiro Kishida was engaged to adapt Aoki's character designs for the television series. In his role as producer, Iwakami took a mostly hands-off approach. Because Puella Magi Madoka Magica is an original series rather than an adaptation of an existing work, his main goal was "coming up with a high-quality piece of entertainment". After helping to recruit

27939-481: The proposed larger Altaic family, or to various Southeast Asian languages , especially Austronesian . None of these proposals have gained wide acceptance (and the Altaic family itself is now considered controversial). As it stands, only the link to Ryukyuan has wide support. Other theories view the Japanese language as an early creole language formed through inputs from at least two distinct language groups, or as

28140-410: The question of narrative power"—particularly in the use of alternative timelines—as the characters fight for their survival. Production I.G 's Katsuyuki Motohiro watched Puella Magi Madoka Magica after hearing opinions that it exceeded Neon Genesis Evangelion . Upon viewing the series, he was "amazed that there was a person who could write such a work" and began analyzing Urobuchi's other works; he

28341-412: The same school who is also a magical girl. Noticing their indecisiveness on whether to become a magical girl, Mami offers to take Madoka and Sayaka along on her witch hunts so they may learn of the responsibilities of being a magical girl. However, after witnessing Mami's death at the hands of a witch, Madoka realizes the life of a magical girl is filled with suffering and pain. This is further enforced by

28542-459: The same structure as affirmative sentences, but with intonation rising at the end. In the formal register, the question particle -ka is added. For example, ii desu ( いいです ) "It is OK" becomes ii desu-ka ( いいですか。 ) "Is it OK?". In a more informal tone sometimes the particle -no ( の ) is added instead to show a personal interest of the speaker: Dōshite konai-no? "Why aren't (you) coming?". Some simple queries are formed simply by mentioning

28743-422: The series as one of "10 most successful anime" of 2010s. The radio station Tokyo FM reported that Puella Magi Madoka Magica has developed into a social phenomenon in Japan. Toussaint Egan of Paste magazine stated that the series was "widely celebrated by fans and critics alike" upon its release and that the show is "a postmodern reconfiguration of genre tropes rife with plot twists and existential malaise on

28944-468: The series in Australia, where it was broadcast on the children's channel ABC Me on June 29, 2013, following an early preview on January 6. The dubbed series began streaming on Viz Media 's streaming service Neon Alley in late 2013. In Italy, the series was broadcast on Rai 4 on February 5 until April 22, 2012. On September 1, 2018, a television anime series based on the smartphone game Magia Record

29145-465: The series in North America, including an English dub , in three BD and DVD volumes released between February 14 and June 12, 2012. Aniplex also released limited editions containing the original soundtrack CDs and special items. Manga Entertainment licensed the series in the United Kingdom and released it on October 29, 2012 on BD and DVD in a complete collection. Madman Entertainment licensed

29346-513: The series in their justification as "an outstanding animation with an ingenious magical scenario" and commended the "ambitious" show for "skillfully setting critical traps that shook the very foundations of the genre". It was nominated for the 32nd Nihon SF Taisho Award ; and won the 2011 Bronze Prize for Kyubey's catchphrase. It also won three 11th Tokyo Anime Awards in the Television Category, Best Director and Best Screenplay; and

29547-429: The series was postponed for three years following the completion of its writing. Once the issues were resolved, production began without further complications. The animation studio led the conception and design of the witches, and created each one's individual backstory. Urobuchi had originally envisioned the witches to be similar to conventional monsters such as Godzilla , but upon seeing the surreal concept art for one of

29748-529: The series' world-building and narrative as well as the character development, and called the series groundbreaking. Masaki went on to say that Madoka Magica has reached a "level of perfection", and noted that the series is worthy of people's admiration. UK Anime Network' s Andy Hanley rated the anime 10 out of 10 and lauded it for its deeply emotional content, and described it as immersive and filled with grandiose visuals along with an evocative soundtrack. He recommended watching it several times to fully comprehend

29949-412: The series. Urobuchi said he had no trouble with these requirements, referencing his past reputation as a writer of very dark and somber stories, the extent of which Shinbo had not known. One objective was for the script to contrast starkly with the way the anime was to be marketed. Shinbo planned to advertise the series innocently and purely that would deliberately conceal its dark undertones. For example,

30150-757: The sign convention for a heat Q {\textstyle Q} transferred in a thermodynamic process ( Q > 0 {\textstyle Q>0} for an absorption and Q < 0 {\textstyle Q<0} for a dissipation) we get: W − Q Σ = W − | Q H | + | Q C | = W − Q H − Q C = 0 {\displaystyle W-Q_{\Sigma }=W-\left\vert Q_{\mathsf {H}}\right\vert +\left\vert Q_{\mathsf {C}}\right\vert =W-Q_{\mathsf {H}}-Q_{\mathsf {C}}=0} Since this equality holds over an entire Carnot cycle, it gave Clausius

30351-402: The soundtrack for the series after Urobuchi recommended her. Shinbo had previously worked with Kajiura on Le Portrait de Petit Cossette ; Urobuchi told of the inspirational effect the music from that series had on him while writing parts of the script. Urobuchi said he had long been a fan of Kajiura's anime soundtracks and praised her work ethic, saying she would always familiarize herself with

30552-439: The speaker, the listener, and persons mentioned. The Japanese writing system combines Chinese characters , known as kanji ( 漢字 , ' Han characters') , with two unique syllabaries (or moraic scripts) derived by the Japanese from the more complex Chinese characters: hiragana ( ひらがな or 平仮名 , 'simple characters') and katakana ( カタカナ or 片仮名 , 'partial characters'). Latin script ( rōmaji ローマ字 )

30753-402: The staff, he allowed them freedom to develop the content of the story, providing minimal guidance. After viewing the character designs that Aoki created, he was sure he could trust the creative talent of the team. In an interview with Anime News Network after the series finished airing in Japan, Iwakami said, "I don't matter much; it's up to those talents to do their work. If something comes to

30954-817: The state as at the time the constitution was written, many of the elders participating in the process had been educated in Japanese during the South Seas Mandate over the island shown by the 1958 census of the Trust Territory of the Pacific that found that 89% of Palauans born between 1914 and 1933 could speak and read Japanese, but as of the 2005 Palau census there were no residents of Angaur that spoke Japanese at home. Japanese dialects typically differ in terms of pitch accent , inflectional morphology , vocabulary , and particle usage. Some even differ in vowel and consonant inventories, although this

31155-400: The state of the system and thus other properties' values. For example, temperature and pressure of a given quantity of gas determine its state, and thus also its volume via the ideal gas law . A system composed of a pure substance of a single phase at a particular uniform temperature and pressure is determined, and is thus a particular state, and has a particular volume. The fact that entropy

31356-432: The story progresses". Reviewers highly praised the series' darker approach to the popular magical girl subgenre in Japanese anime and manga. In its review of the series, the staff at Japanator said this trope "added a level of depth and complexity to the genre that we haven't ever seen, and I don't think we will see again ... [a]dding on that dressing gave the show a more perverse and cruel feeling to it, making it all

31557-419: The story's plotline while composing for it. Japanese pop music duo ClariS was also commissioned to perform the series' opening theme " Connect " ( コネクト , Konekuto ) . Iwakami involved himself in the song's development to ensure it would fit with the series, marking one of the few times he intervened in an aspect of the production. Both "Connect" and the ending theme " Magia " by Kalafina were revealed in

31758-481: The street. (grammatically incorrect insertion of a pronoun) But one can grammatically say essentially the same thing in Japanese: 驚いた彼は道を走っていった。 Transliteration: Odoroita kare wa michi o hashitte itta. (grammatically correct) This is partly because these words evolved from regular nouns, such as kimi "you" ( 君 "lord"), anata "you" ( あなた "that side, yonder"), and boku "I" ( 僕 "servant"). This

31959-536: The study of any classical thermodynamic heat engine: other cycles, such as an Otto , Diesel or Brayton cycle , could be analyzed from the same standpoint. Notably, any machine or cyclic process converting heat into work (i.e., heat engine) that is claimed to produce an efficiency greater than the one of Carnot is not viable — due to violation of the second law of thermodynamics . For further analysis of sufficiently discrete systems, such as an assembly of particles, statistical thermodynamics must be used. Additionally,

32160-405: The system's surroundings as a heat. Otherwise, this process cannot go forward. In classical thermodynamics, the entropy of a system is defined if and only if it is in a thermodynamic equilibrium (though a chemical equilibrium is not required: for example, the entropy of a mixture of two moles of hydrogen and one mole of oxygen in standard conditions is well-defined). The statistical definition

32361-468: The team added black wings to Homura—something that was not included in Urobuchi's writing. Urobuchi praised this aspect of the production, commenting, "additions by the animation production team added more mystery and depth to [the] characters, and without them, it would have been very difficult to write any further stories in the world of the series". Iwakami and Shinbo recruited Yuki Kajiura to compose

32562-473: The television series, was released in October 2012. A third film featuring an original story, Rebellion , was released in October 2013. A sequel film to Rebellion , titled Walpurgisnacht: Rising , is scheduled to be released in Q1 2025. Puella Magi Madoka Magica has received widespread critical acclaim, with praise for its complex narrative, visuals, themes, and soundtrack as well as its unconventional approach to

32763-465: The term entropy from a Greek word for transformation . Austrian physicist Ludwig Boltzmann explained entropy as the measure of the number of possible microscopic arrangements or states of individual atoms and molecules of a system that comply with the macroscopic condition of the system. He thereby introduced the concept of statistical disorder and probability distributions into a new field of thermodynamics, called statistical mechanics , and found

32964-404: The tight broadcast schedule. Citing particularly challenging drawings for episodes 11 and 12, Urobuchi and Iwakami planned to have Shaft continue to improve the episodes up until their rescheduled broadcasts. According to Urobuchi if episode 11 had been aired in its current state as scheduled, the result would likely have been disappointing. On March 23, 2011, the broadcast for the rest of the series

33165-418: The title logo was rendered using rounded fonts that would appear harmless to audiences. Urobuchi further misled fans by using his Twitter account to persuade them the plot of the series was innocuous. The true nature of the series was disguised because Shinbo wanted its dark themes to be a complete surprise to the viewers. Shinbo granted Urobuchi a large amount of autonomy in writing the series and determining

33366-1801: The topic with an interrogative intonation to call for the hearer's attention: Kore wa? "(What about) this?"; O-namae wa? ( お名前は? ) "(What's your) name?". Negatives are formed by inflecting the verb. For example, Pan o taberu ( パンを食べる。 ) "I will eat bread" or "I eat bread" becomes Pan o tabenai ( パンを食べない。 ) "I will not eat bread" or "I do not eat bread". Plain negative forms are i -adjectives (see below) and inflect as such, e.g. Pan o tabenakatta ( パンを食べなかった。 ) "I did not eat bread". Entropy Collective intelligence Collective action Self-organized criticality Herd mentality Phase transition Agent-based modelling Synchronization Ant colony optimization Particle swarm optimization Swarm behaviour Social network analysis Small-world networks Centrality Motifs Graph theory Scaling Robustness Systems biology Dynamic networks Evolutionary computation Genetic algorithms Genetic programming Artificial life Machine learning Evolutionary developmental biology Artificial intelligence Evolutionary robotics Reaction–diffusion systems Partial differential equations Dissipative structures Percolation Cellular automata Spatial ecology Self-replication Conversation theory Entropy Feedback Goal-oriented Homeostasis Information theory Operationalization Second-order cybernetics Self-reference System dynamics Systems science Systems thinking Sensemaking Variety Ordinary differential equations Phase space Attractors Population dynamics Chaos Multistability Bifurcation Rational choice theory Bounded rationality Entropy

33567-452: The transmission of information in telecommunication . Entropy is central to the second law of thermodynamics , which states that the entropy of an isolated system left to spontaneous evolution cannot decrease with time. As a result, isolated systems evolve toward thermodynamic equilibrium , where the entropy is highest. A consequence of the second law of thermodynamics is that certain processes are irreversible . The thermodynamic concept

33768-419: The two consonants are the moraic nasal followed by a homorganic consonant. Japanese also includes a pitch accent , which is not represented in moraic writing; for example [haꜜ.ɕi] ("chopsticks") and [ha.ɕiꜜ] ("bridge") are both spelled はし ( hashi ) , and are only differentiated by the tone contour. Japanese word order is classified as subject–object–verb . Unlike many Indo-European languages ,

33969-577: The two methods were both used in writing until the 1940s. Bungo still has some relevance for historians, literary scholars, and lawyers (many Japanese laws that survived World War II are still written in bungo , although there are ongoing efforts to modernize their language). Kōgo is the dominant method of both speaking and writing Japanese today, although bungo grammar and vocabulary are occasionally used in modern Japanese for effect. The 1982 state constitution of Angaur , Palau , names Japanese along with Palauan and English as an official language of

34170-480: The two terms (''hyōjungo'' and ''kyōtsūgo'') are almost the same. Hyōjungo or kyōtsūgo is a conception that forms the counterpart of dialect. This normative language was born after the Meiji Restoration ( 明治維新 , meiji ishin , 1868) from the language spoken in the higher-class areas of Tokyo (see Yamanote ). Hyōjungo is taught in schools and used on television and in official communications. It

34371-509: The unique animation and design of the backdrops shown during witch fights, which he described as "surreal, beautiful, [and] trippy". In his review of the three blu-ray volumes of the anime series, Zac Bertschy of Anime News Network characterized the story as very emotionally dark and one of the most ambitious and beautiful anime series in recent memory. He awarded each of the volumes ratings of A or A+ overall, and stated "Time will tell us whether or not this show will be remembered as fondly as it

34572-407: The verb (e.g. yonde for earlier yomite ), the -k- in the final mora of adjectives drops out ( shiroi for earlier shiroki ); and some forms exist where modern standard Japanese has retained the earlier form (e.g. hayaku > hayau > hayɔɔ , where modern Japanese just has hayaku , though the alternative form is preserved in the standard greeting o-hayō gozaimasu "good morning"; this ending

34773-399: The volume to their readers due to the prohibitive cost. Bertschy concurred, writing that the "limited episode count and high price of entry make the show inaccessible to an audience unwilling to shell out". The 2017 compilation album Puella Magi Madoka Magica Ultimate Best ranked at No. 4 on Oricon 's weekly albums chart, having sold over 13,500 copies. By the end of 2017, Ultimate Best was

34974-769: The work W {\textstyle W} as the net heat into the inequality above gives us: Q H T H + Q C T C < 0 {\displaystyle {\frac {Q_{\mathsf {H}}}{T_{\mathsf {H}}}}+{\frac {Q_{\mathsf {C}}}{T_{\mathsf {C}}}}<0} or in terms of the entropy change Δ S r , i {\textstyle \Delta S_{{\mathsf {r}},i}} : Δ S r , H + Δ S r , C > 0 {\displaystyle \Delta S_{\mathsf {r,H}}+\Delta S_{\mathsf {r,C}}>0} A Carnot cycle and an entropy as shown above prove to be useful in

35175-548: The world. Since Japanese first gained the consideration of linguists in the late 19th century, attempts have been made to show its genealogical relation to languages or language families such as Ainu , Korean , Chinese , Tibeto-Burman , Uralic , Altaic (or Ural-Altaic ), Austroasiatic , Austronesian and Dravidian . At the fringe, some linguists have even suggested a link to Indo-European languages , including Greek , or to Sumerian . Main modern theories try to link Japanese either to northern Asian languages, like Korean or

35376-465: Was also envisioned and designed by Urobuchi. Iwakami stated that as one of the primary antagonists in the series, "the mash-up of cuteness and darkness is the central theme to Madoka , and Kyubey is an epitome of that theme". A central goal in Urobuchi's writing was to highlight the moral and ethical dissonance between Kyubey and the young middle school girls, which was done through actions such as Kyubey eating their own corpse to recycle energy. He compared

35577-482: Was always pressed for time during the production process and only just completed each episode before its air time. After the earthquake and tsunami, he stated that many of the company's staff were upset by the incident and were unable to work effectively on episodes 11 and 12. He said, however, "a week went by, and two weeks went by, and the staff started saying that they couldn't stay in shock forever, that they had to keep on going, and then production continued". The series

35778-448: Was an indestructible particle that had mass. Clausius discovered that the non-usable energy increases as steam proceeds from inlet to exhaust in a steam engine. From the prefix en- , as in 'energy', and from the Greek word τροπή [tropē], which is translated in an established lexicon as turning or change and that he rendered in German as Verwandlung , a word often translated into English as transformation , in 1865 Clausius coined

35979-680: Was announced, titled Walpurgisnacht: Rising ( ワルプルギスの廻天 , Warupurugisu no Kaiten ) . It was scheduled to be released in Q1 2024; however, was later delayed to Q1 2025. Houbunsha has published several manga series based on Puella Magi Madoka Magica . A direct adaptation of the anime series was illustrated by Hanokage and published in three four-chapter tankōbon volumes that were released between February 12 and May 30, 2011. The manga has been licensed in North America by Yen Press. A side story manga titled Puella Magi Kazumi Magica: The Innocent Malice ( 魔法少女かずみ☆マギカ〜The innocent malice〜 , Mahō Shōjo Kazumi Magika: The Innocent Malice ) , which

36180-476: Was announced. It was originally scheduled to begin airing in 2019, but it was delayed to a January 2020 premiere. It began airing on January 4, 2020. In November 2011, it was announced in the December issue of Kadokawa Shoten 's Newtype magazine that Shaft was developing a three-part theatrical film project. The first two films, titled Beginnings ( 始まりの物語 , Hajimari no Monogatari ) and Eternal ( 永遠の物語 , Eien no Monogatari ) , are compilations of

36381-539: Was based on 12- to 20-second-long recordings of 135 to 244 phonemes , which 42 students listened to and translated word-for-word. The listeners were all Keio University students who grew up in the Kanto region . There are some language islands in mountain villages or isolated islands such as Hachijō-jima island , whose dialects are descended from Eastern Old Japanese . Dialects of the Kansai region are spoken or known by many Japanese, and Osaka dialect in particular

36582-440: Was developed by Ludwig Boltzmann in the 1870s by analyzing the statistical behavior of the microscopic components of the system. Boltzmann showed that this definition of entropy was equivalent to the thermodynamic entropy to within a constant factor—known as the Boltzmann constant . In short, the thermodynamic definition of entropy provides the experimental verification of entropy, while the statistical definition of entropy extends

36783-515: Was found to vary in the thermodynamic cycle but eventually returned to the same value at the end of every cycle. Thus it was found to be a function of state , specifically a thermodynamic state of the system. While Clausius based his definition on a reversible process, there are also irreversible processes that change entropy. Following the second law of thermodynamics , entropy of an isolated system always increases for irreversible processes. The difference between an isolated system and closed system

36984-528: Was illustrated by Yūpon and published by Nitroplus on August 14, 2011. Pre-release copies were available at Comiket 80 on August 12, 2011. A book titled Puella Magi Madoka Magica: The Beginning Story , which is based on Gen Urobuchi's original draft treatment for the anime, was released in November 2011. A video game based on the series titled Puella Magi Madoka Magica Portable ( 魔法少女まどか☆マギカ ポータブル , Mahō Shōjo Madoka Magika Pōtaburu ) and designed for

37185-735: Was imported to Japan from Baekje around the start of the fifth century, alongside Buddhism. The earliest texts were written in Classical Chinese , although some of these were likely intended to be read as Japanese using the kanbun method, and show influences of Japanese grammar such as Japanese word order. The earliest text, the Kojiki , dates to the early eighth century, and was written entirely in Chinese characters, which are used to represent, at different times, Chinese, kanbun , and Old Japanese. As in other texts from this period,

37386-531: Was indefinitely delayed but the production team reported that they were continuing to work on the episodes and announced their intention to finish airing the series by April. On April 10, 2011, the official website for Puella Magi Madoka Magica announced that broadcasts would resume on April 22. Episodes 11 and 12 aired back-to-back on MBS while TBS and CBC ran episode 10 together with episodes 11 and 12. Iwakami later commented on this unique production experience in an interview with Anime News Network . He said Shaft

37587-443: Was integral to the overarching story. Shinbo then asked if she could be brought back to life, saying he had become very attached to the character. Urobuchi again refused, saying this would be impossible because of the already-established rules governing the story. Shinbo acquiesced to this, but said he believed there may have been too large a burden placed on the characters who were young, middle-school girls. The alien character Kyubey

37788-474: Was lost immediately following its composition.) This set of morae shrank to 67 in Early Middle Japanese , though some were added through Chinese influence. Man'yōgana also has a symbol for /je/ , which merges with /e/ before the end of the period. Several fossilizations of Old Japanese grammatical elements remain in the modern language – the genitive particle tsu (superseded by modern no )

37989-413: Was motivated to ask Urobuchi to write the crime thriller Psycho-Pass . In issue 103 of Neo , journalist Matt Kamen wrote, "With its daring approach to a dated genre, Puella Magi Madoka Magica essentially does for magical girls what Neon Genesis Evangelion did for giant robots". Writing for Kotaku , critic Richard Eisenbeis hailed the series as "one of the best anime" and wrote, "It deconstructs

38190-432: Was published in three tankōbon volumes between October 12 and November 12, 2012, and was licensed by Yen Press in 2014. The first volume of Puella Magi Suzune Magica ( 魔法少女すずね☆マギカ ) , which was written and illustrated by Gan, was released on November 12, 2013, before being serialized in Manga Time Kirara Magica on November 22, 2013. Puella Magi Homura Tamura ( 魔法少女ほむら☆たむら ) , which was written and illustrated by Afro,

38391-523: Was referred to by Scottish scientist and engineer William Rankine in 1850 with the names thermodynamic function and heat-potential . In 1865, German physicist Rudolf Clausius , one of the leading founders of the field of thermodynamics, defined it as the quotient of an infinitesimal amount of heat to the instantaneous temperature. He initially described it as transformation-content , in German Verwandlungsinhalt , and later coined

38592-510: Was released for Android devices in December 2011. A second TPS title featuring Mami was released in August 2012 and a third featuring Sayaka and Kyoko was released on October 16, 2012. A puzzle game for iOS devices titled Puella Magi Madoka Magica Puzzle of Memories was released on March 29, 2013. Costumes from Puella Magi Madoka Magica , alongside content based on other anime and games, are available in Japan as downloadable content (DLC) for

38793-460: Was released in 2013, and a second pachinko game titled Slot Puella Magi Madoka Magica 2 was released in 2016. Slot Puella Magi Madoka Magica 2 features the song "Naturally" by Aoi Yūki and Eri Kitamura . Also in 2016, the smartphone game Girl Friend Beta announced a collaboration with Puella Magi Madoka Magica in which players got a Madoka card as a log-in bonus. A smartphone game called Magia Record: Puella Magi Madoka Magica Side Story ,

38994-574: Was released in August 2011, and a dedicated magazine, Manga Time Kirara Magica , was launched by Houbunsha in June 2012. A video game for the PlayStation Portable was released in March 2012 and another for PlayStation Vita was released in December 2013. A mobile game , Magia Record , launched in August 2017, and a three-season anime adaptation produced by Shaft aired from January 2020 to April 2022. An anime film series , beginning with two films recapping

39195-469: Was released in Japan on August 22, 2017. The game features a new protagonist named Iroha Tamaki, who arrives in Kamihama City to search for her missing sister. The game features the theme song "Kakawari" ( かかわり , "Connection" ) by TrySail . An anime adaptation of the game premiered on January 4, 2020. Puella Magi Madoka Magica has received widespread critical acclaim. Masaki Tsuji lauded

39396-697: Was released in May 2013. Puella Magi Madoka Magica: Wraith Arc ( 魔法少女まどか☆マギカ[魔獣編] ) , which was written and illustrated by Hanokage, began serialization in the 20th issue of Manga Time Kirara Magica released on June 10, 2015. The plot describes the events that happened between Puella Magi Madoka Magica the Movie: Eternal and Puella Magi Madoka Magica the Movie: Rebellion . Yen Press will publish it in English. The first volume of an official anthology comic featuring illustrations by guest artists

39597-488: Was released on September 12, 2011. A dedicated monthly magazine published by Houbunsha and titled Manga Time Kirara Magica ( まんがタイムきらら☆マギカ , Manga Taimu Kirara Magika ) was launched on June 8, 2012; it features various manga stories, including spin-off stories of Oriko Magica . A film comic adaptation of the series titled Puella Magi Madoka Magica: Film Memories went on sale on May 26, 2012. Puella Magi Madoka Magica: The Different Story , another manga by Hanokage,

39798-497: Was released on six Blu-ray Disc (BD) and DVD volumes between April 27 and September 21, 2011, having been delayed by the earthquake from the original release date of March 30, 2011. Drama CDs were included with the first, third, and fifth BD/DVD volumes. The sixth and final volume released on September 21, 2011, contains a director's edit of episode 12. The series began streaming on Crunchyroll on February 15, 2012, as well as on Hulu and Crackle . Aniplex of America released

39999-399: Was shown to be useful in characterizing the Carnot cycle . Heat transfer in the isotherm steps (isothermal expansion and isothermal compression) of the Carnot cycle was found to be proportional to the temperature of a system (known as its absolute temperature ). This relationship was expressed in an increment of entropy that is equal to incremental heat transfer divided by temperature. Entropy

40200-399: Was the most-searched and fastest-rising search query in the anime category of 2011. Puella Magi Madoka Magica won the Television Award at the 16th Animation Kobe Awards; as well as 12 Newtype Anime Awards ; and the Grand Prize for animation in the 15th Japan Media Arts Festival awards, making it the first and only original anime television ever to win this award with the jury describing

40401-559: Was written by Masaki Hiramatsu and illustrated by Takashi Tensugi, was serialized in Manga Time Kirara Forward between March 2011 and January 2013. A third manga titled Puella Magi Oriko Magica ( 魔法少女おりこ☆マギカ , Mahō Shōjo Oriko Magika ) , which was written by Kuroe Mura, was released in two tankōbon volumes on May 12, 2011, and June 12, 2011. Both Kazumi Magica and Oriko Magica have been licensed by Yen Press in North America. The first volume of Kazumi Magica

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