150-599: The De La Salle Santiago Zobel School , also referred to by its acronym DLSZ or De La Salle Zobel ( Filipino : Paaralang De La Salle Santiago Zobel ), is a private Catholic basic education institution for boys and girls run by the Philippine District of the De La Salle Brothers in Muntinlupa , Metro Manila , Philippines . It was opened in 1978 by the De La Salle Brothers because of
300-591: A set whose elements are unspecified, of operations acting on the elements of the set, and rules that these operations must follow. The scope of algebra thus grew to include the study of algebraic structures. This object of algebra was called modern algebra or abstract algebra , as established by the influence and works of Emmy Noether . Some types of algebraic structures have useful and often fundamental properties, in many areas of mathematics. Their study became autonomous parts of algebra, and include: The study of types of algebraic structures as mathematical objects
450-556: A "Modernizing the Language Approach Movement" (MOLAM). Lacuesta hosted a number of "anti-purist" conferences and promoted a "Manila Lingua Franca" which would be more inclusive of loanwords of both foreign and local languages. Lacuesta managed to get nine congressmen to propose a bill aiming to abolish the SWP with an Akademia ng Wikang Filipino , to replace the balarila with a Gramatica ng Wikang Filipino , to replace
600-517: A common Malayo-Polynesian language due to the Austronesian migration from Taiwan. The common Malayo-Polynesian language split into different languages, and usually through the Malay language, the lingua franca of maritime Southeast Asia, these were able to adopt terms that ultimately originate from other languages such as Japanese , Hokkien , Sanskrit , Tamil , and Arabic . The Malay language
750-585: A common national language, termed Filipino , to replace Pilipino. Neither the original nor the amended version specified either Tagalog or Pilipino as the basis for Filipino; Instead, tasking the National Assembly to: take steps toward the development and formal adoption of a common national language to be known as Filipino. In 1987, a new constitution designated Filipino as the national language and, along with English, as an official language. That constitution included several provisions related to
900-560: A countryside atmosphere. In this view, alterations to the natural elements of the lot were kept at a minimum. When the school opened in 1978, there was only one building available for use, the St. La Salle Building, then called the "Main Building". At present, the campus is composed of a number of structures which have been necessitated by the burgeoning school population. The following major buildings are found on campus: The first building on
1050-614: A foundation for all mathematics). Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature or—in modern mathematics—purely abstract entities that are stipulated to have certain properties, called axioms . Mathematics uses pure reason to prove properties of objects, a proof consisting of a succession of applications of deductive rules to already established results. These results include previously proved theorems , axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of
1200-669: A fruitful interaction between mathematics and science , to the benefit of both. Mathematical discoveries continue to be made to this very day. According to Mikhail B. Sevryuk, in the January ;2006 issue of the Bulletin of the American Mathematical Society , "The number of papers and books included in the Mathematical Reviews (MR) database since 1940 (the first year of operation of MR)
1350-404: A mathematical problem. In turn, the axiomatic method allows for the study of various geometries obtained either by changing the axioms or by considering properties that do not change under specific transformations of the space . Today's subareas of geometry include: Algebra is the art of manipulating equations and formulas. Diophantus (3rd century) and al-Khwarizmi (9th century) were
1500-422: A mathematical statement that is taken to be true without need of proof. If a mathematical statement has yet to be proven (or disproven), it is termed a conjecture . Through a series of rigorous arguments employing deductive reasoning , a statement that is proven to be true becomes a theorem. A specialized theorem that is mainly used to prove another theorem is called a lemma . A proven instance that forms part of
1650-402: A more general finding is termed a corollary . Numerous technical terms used in mathematics are neologisms , such as polynomial and homeomorphism . Other technical terms are words of the common language that are used in an accurate meaning that may differ slightly from their common meaning. For example, in mathematics, " or " means "one, the other or both", while, in common language, it
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#17327930305861800-535: A population mean with a given level of confidence. Because of its use of optimization , the mathematical theory of statistics overlaps with other decision sciences , such as operations research , control theory , and mathematical economics . Computational mathematics is the study of mathematical problems that are typically too large for human, numerical capacity. Numerical analysis studies methods for problems in analysis using functional analysis and approximation theory ; numerical analysis broadly includes
1950-687: A resolution on November 9, 1937 recommending Tagalog to be basis of the national language. On December 30, President Quezon issued Executive Order No. 134, s. 1937, approving the adoption of Tagalog as the language of the Philippines, and proclaimed the national language of the Philippines so based on the Tagalog language. Quezon himself was born and raised in Baler, Aurora , which is a native Tagalog-speaking area. The order stated that it would take effect two years from its promulgation. On December 31 of
2100-411: A separate branch of mathematics until the seventeenth century. At the end of the 19th century, the foundational crisis in mathematics and the resulting systematization of the axiomatic method led to an explosion of new areas of mathematics. The 2020 Mathematics Subject Classification contains no less than sixty-three first-level areas. Some of these areas correspond to the older division, as
2250-424: A single unknown , which were called algebraic equations (a term still in use, although it may be ambiguous). During the 19th century, mathematicians began to use variables to represent things other than numbers (such as matrices , modular integers , and geometric transformations ), on which generalizations of arithmetic operations are often valid. The concept of algebraic structure addresses this, consisting of
2400-560: A state-of-the-art computer laboratory. Also found within the St. La Salle Building is a pocket garden, as well as a botanical garden at the rear end of the building. All classrooms in the Main building are air-conditioned (previously, only the Fourth Year classrooms were air-conditioned until SY 2004-2005 when all classrooms were retrofitted), equipped with Smart TVs that have replaced the previous LCD projectors, and computers connected to
2550-418: A statistical action, such as using a procedure in, for example, parameter estimation , hypothesis testing , and selecting the best . In these traditional areas of mathematical statistics , a statistical-decision problem is formulated by minimizing an objective function , like expected loss or cost , under specific constraints. For example, designing a survey often involves minimizing the cost of estimating
2700-754: A total renovation. It was one of the earliest building on campus and now houses the Finance Development Office, Registrar and Admissions office, and the Instructional and Performance Assessment Office. It also houses the president's office, grade school and high school principal's office, the Don Enrique Zobel Board Room, Quality Assurance and Management Office and the Human Resources Management and Development Department office. The building
2850-512: A two-level lobby, an orchestra pit, four air-conditioned dressing rooms, costume cabinets, a docking area, sixteen fly battens, two motorized curtain systems (vertical and horizontal), and comfort rooms. The television program Digital LG Quiz game show was hosted by 2 Lasallians - LSGH alumnus David Celdran and DLSU alumnae Bianca Araneta who taped several episodes at the King Center Theater for several years. The building houses
3000-933: A very close affinity to La Salle since he was educated in his elementary and high school years in the U.S. in De La Salle Christian Brother-run schools. In 1921, the school moved to its present site on Taft Avenue and the De La Salle Brothers have since opened schools in Green Hills, Mandaluyong ; Antipolo, Rizal ; Lipa City, Batangas ; two schools ( University of St. La Salle and St. Joseph School-La Salle ) in Bacolod ; Iligan City, Lanao del Norte ; two schools ( De La Salle University-Dasmariñas and De La Salle Medical and Health Sciences Institute ) in Dasmariñas , Cavite , and
3150-429: A week and was known as Linggo ng Wika (Language Week). The celebration coincides with the month of birth of President Manuel L. Quezon, regarded as the "Ama ng Wikang Pambansa" (Father of the national language). In 1946, Proclamation No. 35 of March 26 provided for a week-long celebration of the national language. this celebration would last from March 27 until April 2 each year, the last day coinciding with birthday of
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#17327930305863300-477: A wide expansion of mathematical logic, with subareas such as model theory (modeling some logical theories inside other theories), proof theory , type theory , computability theory and computational complexity theory . Although these aspects of mathematical logic were introduced before the rise of computers , their use in compiler design, formal verification , program analysis , proof assistants and other aspects of computer science , contributed in turn to
3450-703: Is Fermat's Last Theorem . This conjecture was stated in 1637 by Pierre de Fermat, but it was proved only in 1994 by Andrew Wiles , who used tools including scheme theory from algebraic geometry , category theory , and homological algebra . Another example is Goldbach's conjecture , which asserts that every even integer greater than 2 is the sum of two prime numbers . Stated in 1742 by Christian Goldbach , it remains unproven despite considerable effort. Number theory includes several subareas, including analytic number theory , algebraic number theory , geometry of numbers (method oriented), diophantine equations , and transcendence theory (problem oriented). Geometry
3600-471: Is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as
3750-667: Is a gated compound in the school. The Br. Andrew Gonzales Hall houses, on the ground floor, an outdoor playground, the Pre-K to Kinder classrooms, Faculty Room and Meeting Room. On the second floor is the Learning Resource Center, Grade 4 Robotics Rooms and the Office of the Vice Principal for Operations for Lower Grades. In 1996, the school began construction on a building which would house its proposed Center for
3900-581: Is a language under the Austronesian language family . It is the national language ( Wikang pambansa / Pambansang wika ) of the Philippines , lingua franca (Karaniwang wika), and one of the two official languages ( Wikang opisyal / Opisyal na wika ) of the country, with English . It is a standardized variety of the native language Tagalog , spoken and written in Metro Manila ,
4050-643: Is a sub-group under the BRafeNHS Principal. Two main departments make up the academic structure of Zobel, the Grade School and High School Departments. The Grade School curriculum is structured into six learning areas: Mathematics , Science , Language , Reading , Filipino , and MAKABAYAN , the component subjects of which are Christian Living, Social Studies , Computer Science , Music and Art , Physical Education , and Home Economics and Livelihood Education . The High School curriculum, on
4200-801: Is a translation of Article 1 of the Universal Declaration of Human Rights . Usually, the diacritics are not written, and the syntax and grammar are based on that of Tagalog . the General Assembly proclaims this UNIVERSAL DECLARATION OF HUMAN RIGHTS as a common standard of achievement for all peoples and all nations, to the end that every individual and every organ of society, keeping this Declaration constantly in mind, shall strive by teaching and education to promote respect for these rights and freedoms and by progressive measures, national and international, to secure their universal and effective recognition and observance, both among
4350-462: Is also common among Austronesian languages. It has head-initial directionality. It is an agglutinative language but can also display inflection . It is not a tonal language and can be considered a pitch-accent language and a syllable-timed language. It has nine basic parts of speech . The Philippines is a multilingual state with 175 living languages originating and spoken by various ethno-linguistic groups. Many of these languages descend from
4500-412: Is also home to an Olympic-size swimming pool which was constructed in the mid-1990s. In 2005, the pool house was rebuilt and is now a multi-level building with locker & shower rooms at the ground floor and spectator-stands at the upper level. Right beside the swimming pool are the tennis courts , one of the oldest facilities located on campus. The school also has a full-sized football field , which
4650-600: Is argued that current state of the Filipino language is contrary to the intention of Republic Act (RA) No. 7104 that requires that the national language be developed and enriched by the lexicon of the country's other languages. It is further argued that, while the official view (shared by the government, the Komisyon sa Wikang Filipino , and a number of educators) is that Filipino and Tagalog are considered separate languages, in practical terms, Filipino may be considered
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4800-403: Is commonly used for advanced parts. Analysis is further subdivided into real analysis , where variables represent real numbers , and complex analysis , where variables represent complex numbers . Analysis includes many subareas shared by other areas of mathematics which include: Discrete mathematics, broadly speaking, is the study of individual, countable mathematical objects. An example
4950-513: Is defined by the set of all similar objects and the properties that these objects must have. For example, in Peano arithmetic , the natural numbers are defined by "zero is a number", "each number has a unique successor", "each number but zero has a unique predecessor", and some rules of reasoning. This mathematical abstraction from reality is embodied in the modern philosophy of formalism , as founded by David Hilbert around 1910. The "nature" of
5100-407: Is either ambiguous or means "one or the other but not both" (in mathematics, the latter is called " exclusive or "). Finally, many mathematical terms are common words that are used with a completely different meaning. This may lead to sentences that are correct and true mathematical assertions, but appear to be nonsense to people who do not have the required background. For example, "every free module
5250-627: Is found right beside the iNook . Atop the iNook is a mini courtyard (built in 2005 as well) used for some school activities, which was renovated in 2014. The ground floor also once housed the offices of the Registrar, the Director, and the Grade School Principal. These offices have since been moved to the newly renovated Mutien-Marie Wiaux Building. At present, the newly renovated Deborah Decena Auditorium (or sometimes known as
5400-401: Is frequently used. While the word Tagalista literally means "one who specializes in Tagalog language or culture" or a "Tagalog specialist", in the context of the debates on the national language and " Imperial Manila ", the word Tagalista is used as a reference to "people who promote or would promote the primacy of Tagalog at the expense of [the] other [Philippine] indigenous tongues". This
5550-553: Is handled by ZaiDe. The St. Flavius Hall houses, on the first floor, the main canteen and on the second floor the Employees Lounge, Canteen Conference Room and R-Pod, a center for rest, relaxation and rejuvenation for all Lasallian Partners. While this is the main school canteen, a mini-canteen is also located in the Br. Felix Hall. It was named after Br. Flavius Leo FSC, one of the sixteen Christian Brothers who were massacred in
5700-493: Is in Babylonian mathematics that elementary arithmetic ( addition , subtraction , multiplication , and division ) first appear in the archaeological record. The Babylonians also possessed a place-value system and used a sexagesimal numeral system which is still in use today for measuring angles and time. In the 6th century BC, Greek mathematics began to emerge as a distinct discipline and some Ancient Greeks such as
5850-475: Is located behind the Mutien-Marie Building, as well as baseball and softball fields, which are located by The Vaugirard. Because of these facilities, Zobel has been host to many athletic competitions, especially soccer matches. Jacobo Santiago "Santi" Zobel, after whom the school is named, was the eldest son of De La Salle Alumnus and Benefactor- Don Enrique Zobel . Enrique Zobel was then
6000-794: Is located in Muntinlupa's Ayala Alabang Village and was made possible through a joint donation of part of the campus's eleven hectare lot donated by the Ayala Corporation and the Madrigal Family, with the rest of the lot acquired through financing provided by the Filipinas Life Assurance Company. The school's location in Southern Metro Manila also helps in achieving the government's goal of dispersing educational institutions over
6150-586: Is mostly used for numerical calculations . Number theory dates back to ancient Babylon and probably China . Two prominent early number theorists were Euclid of ancient Greece and Diophantus of Alexandria. The modern study of number theory in its abstract form is largely attributed to Pierre de Fermat and Leonhard Euler . The field came to full fruition with the contributions of Adrien-Marie Legendre and Carl Friedrich Gauss . Many easily stated number problems have solutions that require sophisticated methods, often from across mathematics. A prominent example
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6300-522: Is named after St. Brother Mutien-Marie Wiaux, a De La Salle Christian Brother who taught St. Bertuin's School in Malonne, Belgium where he taught for fifty-eight years. He was canonized in 1989 by Pope John Paul II . The St. Joseph Building is home to all of the school's Home Economics and Livelihood Education classes, including Shop , Automotive/Driving , Practical Gardening , Practical Electricity , Cooking , and Sewing , among others and
6450-404: Is not sufficient to verify by measurement that, say, two lengths are equal; their equality must be proven via reasoning from previously accepted results ( theorems ) and a few basic statements. The basic statements are not subject to proof because they are self-evident ( postulates ), or are part of the definition of the subject of study ( axioms ). This principle, foundational for all mathematics,
6600-1192: Is now more than 1.9 million, and more than 75 thousand items are added to the database each year. The overwhelming majority of works in this ocean contain new mathematical theorems and their proofs." Mathematical notation is widely used in science and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. This notation consists of symbols used for representing operations , unspecified numbers, relations and any other mathematical objects, and then assembling them into expressions and formulas. More precisely, numbers and other mathematical objects are represented by symbols called variables, which are generally Latin or Greek letters, and often include subscripts . Operation and relations are generally represented by specific symbols or glyphs , such as + ( plus ), × ( multiplication ), ∫ {\textstyle \int } ( integral ), = ( equal ), and < ( less than ). All these symbols are generally grouped according to specific rules to form expressions and formulas. Normally, expressions and formulas do not appear alone, but are included in sentences of
6750-547: Is often held to be Archimedes ( c. 287 – c. 212 BC ) of Syracuse . He developed formulas for calculating the surface area and volume of solids of revolution and used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series , in a manner not too dissimilar from modern calculus. Other notable achievements of Greek mathematics are conic sections ( Apollonius of Perga , 3rd century BC), trigonometry ( Hipparchus of Nicaea , 2nd century BC), and
6900-433: Is one of the oldest branches of mathematics. It started with empirical recipes concerning shapes, such as lines , angles and circles , which were developed mainly for the needs of surveying and architecture , but has since blossomed out into many other subfields. A fundamental innovation was the ancient Greeks' introduction of the concept of proofs , which require that every assertion must be proved . For example, it
7050-567: Is sometimes mistranslated as a condemnation of mathematicians. The apparent plural form in English goes back to the Latin neuter plural mathematica ( Cicero ), based on the Greek plural ta mathēmatiká ( τὰ μαθηματικά ) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the noun mathematics anew, after
7200-485: Is that speech variety spoken in Metro Manila and other urban centers where different ethnic groups meet. It is the most prestigious variety of Tagalog and the language used by the national mass media. The other yardstick for distinguishing a language from a dialect is: different grammar, different language. "Filipino", "Pilipino" and "Tagalog" share identical grammar. They have the same determiners (ang, ng and sa);
7350-414: Is the indigenous written and spoken language of Metro Manila and other urban centers in the Philippines used as the language of communication of ethnic groups . However, as with the 1973 and 1987 Constitutions, 92-1 went neither so far as to categorically identify, nor so far as to dis-identify this language as Tagalog. Definite, absolute, and unambiguous interpretation of 92–1 is the prerogative of
7500-418: Is the purpose of universal algebra and category theory . The latter applies to every mathematical structure (not only algebraic ones). At its origin, it was introduced, together with homological algebra for allowing the algebraic study of non-algebraic objects such as topological spaces ; this particular area of application is called algebraic topology . Calculus, formerly called infinitesimal calculus,
7650-405: Is the set of all integers. Because the objects of study here are discrete, the methods of calculus and mathematical analysis do not directly apply. Algorithms —especially their implementation and computational complexity —play a major role in discrete mathematics. The four color theorem and optimal sphere packing were two major problems of discrete mathematics solved in the second half of
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#17327930305867800-508: Is true regarding number theory (the modern name for higher arithmetic ) and geometry. Several other first-level areas have "geometry" in their names or are otherwise commonly considered part of geometry. Algebra and calculus do not appear as first-level areas but are respectively split into several first-level areas. Other first-level areas emerged during the 20th century or had not previously been considered as mathematics, such as mathematical logic and foundations . Number theory began with
7950-650: The Komisyon sa Wikang Filipino (Commission on the Filipino Language, or KWF), superseding the Institute of Philippine Languages. The KWF reports directly to the President and was tasked to undertake, coordinate and promote researches for the development, propagation and preservation of Filipino and other Philippine languages. On May 13, 1992, the commission issued Resolution 92-1, specifying that Filipino
8100-479: The American colonial period , English became an additional official language of the Philippines alongside Spanish; however, the number of speakers of Spanish steadily decreased. The United States initiated policies that led to the gradual removal of Spanish from official use in the Philippines. This was not done through an outright ban, but rather through a strategic shift in language policy that promoted English as
8250-586: The Babylonians and Egyptians began using arithmetic, algebra, and geometry for taxation and other financial calculations, for building and construction, and for astronomy. The oldest mathematical texts from Mesopotamia and Egypt are from 2000 to 1800 BC. Many early texts mention Pythagorean triples and so, by inference, the Pythagorean theorem seems to be the most ancient and widespread mathematical concept after basic arithmetic and geometry. It
8400-697: The Balarílà ng Wikang Pambansâ (English: Grammar of the National Language ) of grammarian Lope K. Santos introduced the 20-letter Abakada alphabet which became the standard of the national language. The alphabet was officially adopted by the Institute for the Tagalog-Based National Language. In 1959, the language became known as Pilipino in an effort to disassociate it from the Tagalog ethnic group . The changing of
8550-577: The DLSZ Band and doubles as transient offices for some of the school's units while some buildings on campus are undergoing renovation. For school year 2007–2008, the THELE building has been transformed to a Seniors (4th year) building due to the many other students that applied during its enrollment period thus adding section I to some of the Grade and High School levels. In school year 2010–2011 classrooms for
8700-768: The Golden Age of Islam , especially during the 9th and 10th centuries, mathematics saw many important innovations building on Greek mathematics. The most notable achievement of Islamic mathematics was the development of algebra . Other achievements of the Islamic period include advances in spherical trigonometry and the addition of the decimal point to the Arabic numeral system. Many notable mathematicians from this period were Persian, such as Al-Khwarizmi , Omar Khayyam and Sharaf al-Dīn al-Ṭūsī . The Greek and Arabic mathematical texts were in turn translated to Latin during
8850-547: The Mariano Marcos State University in Batac, Ilocos Norte, that Filipino was simply Tagalog in syntax and grammar, with as yet no grammatical element or lexicon coming from Ilokano , Cebuano , Hiligaynon , or any of the other Philippine languages . He said further that this is contrary to the intention of Republic Act No. 7104, which requires that the national language be developed and enriched by
9000-511: The Pythagoreans appeared to have considered it a subject in its own right. Around 300 BC, Euclid organized mathematical knowledge by way of postulates and first principles, which evolved into the axiomatic method that is used in mathematics today, consisting of definition, axiom, theorem, and proof. His book, Elements , is widely considered the most successful and influential textbook of all time. The greatest mathematician of antiquity
9150-536: The Renaissance , mathematics was divided into two main areas: arithmetic , regarding the manipulation of numbers, and geometry , regarding the study of shapes. Some types of pseudoscience , such as numerology and astrology , were not then clearly distinguished from mathematics. During the Renaissance, two more areas appeared. Mathematical notation led to algebra which, roughly speaking, consists of
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#17327930305869300-624: The Royal Academy of Dance . In 2002, the Center for Performing Arts was on national television weekly venue-hosting GMA7's popular quiz show, LG Quiz. In 2003, Don Randi, an American jazz musician held a jazz and fusion clinic and concert at the Center. In 2004, recognizing the role of the Center in promoting culture and the arts, the Cultural Center of the Philippines (CCP) officially designated DLSZ Center for Performing Arts as
9450-713: The Supreme Court in the absence of directives from the KWF, otherwise the sole legal arbiter of the Filipino language. Filipino was presented and registered with the International Organization for Standardization (ISO), by Ateneo de Manila University student Martin Gomez, and was added to the ISO registry of languages on September 21, 2004, with it receiving the ISO 639-2 code fil . On August 22, 2007, it
9600-446: The controversy over Cantor's set theory . In the same period, various areas of mathematics concluded the former intuitive definitions of the basic mathematical objects were insufficient for ensuring mathematical rigour . This became the foundational crisis of mathematics. It was eventually solved in mainstream mathematics by systematizing the axiomatic method inside a formalized set theory . Roughly speaking, each mathematical object
9750-633: The "CCP of the South." A marker bearing such recognition was unveiled at the lobby of the Center by then CCP President Nestor Jardin, DLSZ's Br. Jaime Dalumpines, FSC, DSLZ-DIPS Director Amanda Boyles, and the head of the Center, Albert Madrigal. In 2009, Zobel's varsity team, the De La Salle Junior Archers , is De La Salle University-Manila's junior representative to the University Athletic Association of
9900-400: The 17th century, when René Descartes introduced what is now called Cartesian coordinates . This constituted a major change of paradigm : Instead of defining real numbers as lengths of line segments (see number line ), it allowed the representation of points using their coordinates , which are numbers. Algebra (and later, calculus) can thus be used to solve geometrical problems. Geometry
10050-405: The 19th century, mathematicians discovered non-Euclidean geometries , which do not follow the parallel postulate . By questioning that postulate's truth, this discovery has been viewed as joining Russell's paradox in revealing the foundational crisis of mathematics . This aspect of the crisis was solved by systematizing the axiomatic method, and adopting that the truth of the chosen axioms is not
10200-466: The 20-letter Abakada with a 32-letter alphabet, and to prohibit the creation of neologisms and the respelling of loanwords. This movement quietened down following the death of Lacuesta. The national language issue was revived once more during the 1971 Constitutional Convention . While there was a sizable number of delegates in favor of retaining the Tagalog-based national language, majority of
10350-532: The 20th century. The P versus NP problem , which remains open to this day, is also important for discrete mathematics, since its solution would potentially impact a large number of computationally difficult problems. Discrete mathematics includes: The two subjects of mathematical logic and set theory have belonged to mathematics since the end of the 19th century. Before this period, sets were not considered to be mathematical objects, and logic , although used for mathematical proofs, belonged to philosophy and
10500-661: The 7th grade were moved here. In the Edgardo Cadlum Hall, there is the Cafeteria extension on the first floor and on the second floor, the Gym 2 basketball court. Built at the site of the former stand-alone Gym 2, the Cadlum Hall was built to house a multi-purpose hall and the school bookstore at the ground floor, with the Gym 2 being converted to a dedicated basketball court at the second floor. The hall serves as
10650-964: The Angelo King Center for the Performing Arts in 2000, which is housed in the school's Center for the Performing Arts Building. Since its establishment, the Center has organized yearly Performing Arts Festivals which have showcased the different performing arts groups of the school. These groups include the DLSZ Symphony Orchestra , the DLSZ Strings, the DLSZ Band, the DLSZ Chorale , the Rondalla Ensemble and in addition,
10800-1095: The Building is the DLSZ Alumni Association Office and the Independent Teachers Union Office. The Br. Ceci Hojilla FSC Center for Lasallian Formation or CLF (near Gate 1) houses the Our Lady of the Star Chapel and below it is the CLF Hall, two (2) Recollection Rooms, and the Family Life Wellness Institute (FLWI). The CLF also houses the Campus Ministry Office and the Social Action Office with the Parmenie Retreat Facility which has
10950-773: The Center continues to hold yearly productions of hit musicals, a tradition started during the early years of Zobel. It has also hosted a number of performing groups from De La Salle University such as the DLSU Pops Orchestra , the DLSU Chorale, and the Chamber Ensemble . Activities, which have been organized at the Center, have been facilitated by highly acclaimed organizations including the UP Theater Arts, CenterStage, Ballet Philippines, Philippine Madrigal Singers, Philippine Ballet Theatre, and
11100-711: The De La Salle Greenies of De La Salle College High School (Taft) won the championship in the NCAA in 1955 which was captained by La Salle Basketball Hall-of-Famer Kurt Bachmann. The De La Salle Lady Junior Archers, on the other hand, have been the WNCAA Junior Division Champions for eight straight years, from 1993 to 2000 and again in 2004. Zobel's varsity team for Football on the other hand wins many tournaments and leagues. The school currently has 3 Learning Resource Centers, one each for
11250-619: The De La Salle–Santiago Zobel School in Alabang, Muntinlupa . De La Salle–Santiago Zobel School, a member-school of De La Salle Philippines , Inc., was established on March 29, 1978, after it was decided that the elementary department of De La Salle College be moved to a location that is more suitable and conducive to learning. A high school department was also formed to assure the graduates of Zobel's elementary department of placement in secondary education . The school
11400-840: The Debbie Decena Auditorium), the auditorium , the Information Systems Office, the medical and dental clinics. Beside the Main Building is the newly built, state-of-the-art Our Lady of the Star Chapel where regular masses are held. Beside this chapel is the Parmenie, the new recollection facility. Currently, this floor also houses the classrooms for Grade 5A to 5I, and 6A to 6D, Grades 5 and 6 Student Counseling Rooms, Elite & HS Robotics Rooms, Mimeographing Room, Special Filipino Room, Science and Technology Lobby, Debbie Decena Auditorium (DDA),
11550-523: The Filipino language. Article XIV, Section 6, omits any mention of Tagalog as the basis for Filipino, and states that: as Filipino evolves, it shall be further developed and enriched on the basis of existing Philippine and other languages. And also states in the article: Subject to provisions of law and as the Congress may deem appropriate, the Government shall take steps to initiate and sustain
11700-422: The Filipino writer Francisco Baltazar , author of the Tagalog epic Florante at Laura . In 1954, Proclamation No. 12 of March 26 provided that the week of celebration would be from March 29 to April 4 every year. This proclamation was amended the following year by President Ramon Magsaysay by Proclamation No. 186 of September 23, moving the dates of celebration to August 13–19, every year. Now coinciding with
11850-682: The Grade 5 classes. In 2004, an annex, the THE Building, was built to decongest the original building which was built in 1992. The building houses the Automotive/Driving and Electricity classes at the ground floor, including the garage for the class vehicles, while a gym (Gym 3) occupied the second floor. In 2005, a model home was built by the back of the original building to house the Cooking and Sewing classes. The original building once housed art classes as well as rehearsal rooms for
12000-672: The High School Department. The library has two main sections, print and non-print. In 2005, it served 1,128 students, 89 faculty members, 13 administrators, and 82 co-academic personnel. The Antonio Montemayor Anievas Library serves the Grade School Department and is located just across the Santiago Zobel Memorial Library. It is the second biggest library on campus and has organized various programs, which serve to inculcate
12150-861: The Human Resource Management and Development Department, the Finance Department, and the Br. Rafael Donato FSC Night High School (BRafeNHS) Department. The Quality Assurance and Management Office directly under the President is a sub-group composed of the Internal Auditor, the Compliance Officer, the Project Management Officer, and the Strategic Planning Officer. The school's Technological and Vocational School
12300-500: The Institute of National Language (later the Surián ng Wikang Pambansâ or SWP) and tasking it with making a study and survey of each existing native language, hoping to choose which was to be the base for a standardized national language. Later, President Manuel L. Quezon later appointed representatives for each major regional language to form the NLI. Led by Jaime C. De Veyra , who sat as
12450-627: The Internet via Wi-Fi. Over the academic years, the Main Building has undergone retrofitting and renovation of facilities and classrooms into more technology-enabled learning areas to support the modern blended learning programs implemented by the school. Most of the classrooms were renovated in 3 phases starting AY 2013-2014 and ending in AY 2015-2016. In 2005, the Administration Building or the St. Brother Mutien-Marie Building, underwent
12600-649: The Metro, as well as the goal of the Brothers in the Philippines of making their resources available to as many communities as possible. De La Salle Zobel opened in June 1978 with an initial offering of Prep to Grade Six Levels. The Grade School Department became fully operational when Grade 7 was added in June 1979 and in June 1980, the High School Department opened, initially without Freshman classes. It became fully operational in June 1983. Br. Raymond Bronowicz FSC, then
12750-637: The Middle Ages and made available in Europe. During the early modern period , mathematics began to develop at an accelerating pace in Western Europe , with innovations that revolutionized mathematics, such as the introduction of variables and symbolic notation by François Viète (1540–1603), the introduction of logarithms by John Napier in 1614, which greatly simplified numerical calculations, especially for astronomy and marine navigation ,
12900-696: The Most Blessed Sacrament Chapel of De La Salle University on Taft Avenue, Manila during the Battle for the Liberation of Manila in World War II . The Brother V. Felix Masson FSC Hall is named after one of the longest-serving Christian Brothers in the Philippines and, after the recent deaths of Br. Fidelis Leddy FSC (1918–2003) and Br. J. Benedict FSC (1927–2004), the only living American Christian Brother who has been serving in
13050-489: The National Capital Region, and in other urban centers of the archipelago. The 1987 Constitution mandates that Filipino be further enriched and developed by the other languages of the Philippines . Filipino, like other Austronesian languages, commonly uses verb-subject-object order, but can also use subject-verb-object order. Filipino follows the trigger system of morphosyntactic alignment that
13200-415: The Performing Arts. In 2000, this building was completed and would be named after DLSU alumnus Angelo King, who had contributed a significant amount to help finish its construction. The Angelo King Center has a Php150 million theater equipped with state-of-the-art lights and sound facilities, which were imported form Germany . The theater has a seating capacity of 1,052 with balcony and orchestra sections,
13350-599: The Philippine islands started in 1565 with the fall of Cebu. The eventual capital established by Spain for its settlement in the Philippines was Manila , situated in a Tagalog-speaking region, after the capture of Manila from the Muslim Kingdom of Luzon ruled by Raja Matanda with the heir apparent Raja Sulayman and the Hindu-Buddhist Kingdom of Tondo ruled by Lakan Dula . After its fall to
13500-480: The Philippines provided that: The National Assembly shall take steps toward the development and adoption of a common national language based on one of the existing native languages. Until otherwise provided by law, English and Spanish shall continue as official languages. On November 13, 1936, the first National Assembly of the Philippine Commonwealth approved Commonwealth Act No. 184; creating
13650-710: The Philippines while its women's team, the Lady Junior Archers, is De La Salle-College of Saint Benilde's representative to the Women's National Collegiate Athletic Association . During UAAP Season 68 , the Junior Archers won its first UAAP Basketball title when it swept the UPIS Junior Maroons, 2–0. It was also La Salle's first Junior's Basketball title in either the NCAA or the UAAP since
13800-534: The Philippines for more than fifty years. This building was built in 1997. The classrooms for Grade 2A to 2I, 3A to 3B, GEM/Special Filipino Room, and an outdoor playground are located on the first floor. On the second floor are the classrooms for Grade 3C to 3I, 4A to 4G classrooms and the ISRS Extension Office. In the Br. Felix Masson annex building, the Music Room is located on the first floor,
13950-774: The Philippines- Department of Education Math Challenge, the Discovery Channel Whiz Quiz Contest, numerous De La Salle University Contests, and the Inter-school Computer Science QuizBits Contest of the Philippine Science High School , among others. With the thrust of supporting the holistic development of students, Zobel further developed the intellect and artistry of its students with the establishment of
14100-540: The Prep Level, the Grade School Department, and the High School Department, that provide both conventional print and non-print materials to the school community. In addition to these Centers, the school also maintains an Archives unit that is also under Learning Resource Center; the Archives is located at the St. La Salle Building. The Jacobo Santiago Zobel Memorial Library is the school's primary library and serves
14250-489: The President of the Ayala Corporation when De La Salle-Zobel was established. Santiago was born on August 15, 1954, and died of pneumonia on September 7, 1965, at the age of 11. 14°24′37″N 121°1′10″E / 14.41028°N 121.01944°E / 14.41028; 121.01944 Filipino language Filipino ( English: / ˌ f ɪ l ɪ ˈ p iː n oʊ / , FIH-lih-PEE-noh ; Wikang Filipino , [ˈwi.kɐŋ fi.liˈpi.no̞] )
14400-924: The Spaniards, Manila was made the capital of the Spanish settlement in Asia due to the city's commercial wealth and influence, its strategic location, and Spanish fears of raids from the Portuguese and the Dutch. The first dictionary of Tagalog, published as the Vocabulario de la lengua tagala , was written by the Franciscan Pedro de San Buenaventura, and published in 1613 by the "Father of Filipino Printing" Tomás Pinpin in Pila , Laguna . A latter book of
14550-726: The Vice-President for Administration of De La Salle University, was appointed as Zobel's first director. The management of Zobel is divided into seven departments, all reporting directly to the President, Br. Bernard Oca FSC. These are the High School Department, the Grade School Department, the Academic Services Department, the Administrative Services Department, the Lasallian Formation and Mission Department,
14700-583: The beginnings of algebra (Diophantus, 3rd century AD). The Hindu–Arabic numeral system and the rules for the use of its operations, in use throughout the world today, evolved over the course of the first millennium AD in India and were transmitted to the Western world via Islamic mathematics . Other notable developments of Indian mathematics include the modern definition and approximation of sine and cosine , and an early form of infinite series . During
14850-476: The birthday of President Manuel L. Quezon. The reason for the move being given that the original celebration was a period "outside of the school year, thereby precluding the participation of schools in its celebration". In 1988, President Corazon Aquino signed Proclamation No. 19, reaffirming the celebration every August 13 to 19. In 1997, the celebration was extended from a week to a month by Proclamation 1041 of July 15 signed by President Fidel V. Ramos . It
15000-609: The campus, it houses the Grades 5 to 10 classrooms. The basement level, which was formerly a canteen-cum-multi-purpose hall was turned into the school's Learning Resource Center in 1992. It is composed of one library: the Antonio Montemayor Anievas Memorial Library and an Accounting Office which has replaced the previous High School Library. The facade was where the two flagpoles and the St. La Salle statue were formerly located until 2011 when
15150-403: The canteens extension. The building is named after the longest-serving Principal of Zobel, Edgardo S. Cadlum (1932–2010). The St. Flavius Hall houses the school's main canteen was built in 1991 with the initial food service management being handled by The Aristocrat Restaurant of Engracia Reyes . The immediate past handler of the canteen management was Race Foods, Inc. and at present, it
15300-747: The chair of the Institute and as the representative of Samar-Leyte-Visayans , the Institute's members were composed of Santiago A. Fonacier (representing the Ilokano-speaking regions ), Filemon Sotto (the Cebu-Visayans ), Casimiro Perfecto (the Bikolanos ), Felix S. Sales Rodriguez (the Panay-Visayans ), Hadji Butu (the languages of Muslim Filipinos ), and Cecilio Lopez (the Tagalogs ). The Institute of National Language adopted
15450-617: The classrooms for Grade 4H to 4I are on the second floor, and on the third floor are the Science Laboratory and Computer Technology classroom. The newly built St. Brother Miguel Hall, named after St. Br. Miguel Febres Cordero Muñoz FSC , houses the Br. Miguel Febres building basement, where the Art Room, Music Room, Cafeteria annex, Psychometrician/MSSN Coordinator's Office and the Staff Union Office are located. On
15600-511: The concept of a proof and its associated mathematical rigour first appeared in Greek mathematics , most notably in Euclid 's Elements . Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions ), until the 16th and 17th centuries, when algebra and infinitesimal calculus were introduced as new fields. Since then,
15750-399: The current language, where expressions play the role of noun phrases and formulas play the role of clauses . Mathematics has developed a rich terminology covering a broad range of fields that study the properties of various abstract, idealized objects and how they interact. It is based on rigorous definitions that provide a standard foundation for communication. An axiom or postulate is
15900-461: The delegates who were non-Tagalogs were even in favor of scrapping the idea of a "national language" altogether. A compromise was reached and the wording on the 1973 constitution made no mention of dropping the national language Pilipino or made any mention of Tagalog. Instead, the 1973 Constitution , in both its original form and as amended in 1976, designated English and Pilipino as official languages and provided for development and formal adoption of
16050-569: The derived expression mathēmatikḗ tékhnē ( μαθηματικὴ τέχνη ), meaning ' mathematical science ' . It entered the English language during the Late Middle English period through French and Latin. Similarly, one of the two main schools of thought in Pythagoreanism was known as the mathēmatikoi (μαθηματικοί)—which at the time meant "learners" rather than "mathematicians" in the modern sense. The Pythagoreans were likely
16200-428: The expansion of these logical theories. The field of statistics is a mathematical application that is employed for the collection and processing of data samples, using procedures based on mathematical methods especially probability theory . Statisticians generate data with random sampling or randomized experiments . Statistical theory studies decision problems such as minimizing the risk ( expected loss ) of
16350-702: The first floor is an outdoor playground, the Multipurpose Hall, Medical Clinic Annex, Classrooms for Grades 1A to 1H and the interdisciplinary Botanical Garden. On the second floor is the Gym 5, Learning Resource Center Grades 1 to 4 Student Counselling Rooms, office of Grade School Student Formation Officer, office of the Subject Coordinators, and the office of the Upper Grades Vice Principal for Operations. The Br. Andrew Gonzalez Hall, previously known as The Vaugirard,
16500-567: The first to constrain the use of the word to just the study of arithmetic and geometry. By the time of Aristotle (384–322 BC) this meaning was fully established. In Latin and English, until around 1700, the term mathematics more commonly meant " astrology " (or sometimes " astronomy ") rather than "mathematics"; the meaning gradually changed to its present one from about 1500 to 1800. This change has resulted in several mistranslations: For example, Saint Augustine 's warning that Christians should beware of mathematici , meaning "astrologers",
16650-407: The following school year. In 1999, classes were held at the main campus of De La Salle Zobel. The campus is situated on an irregularly shaped lot located at the heart of the Ayala Alabang Village. The campus's master plan was designed by the firm of architect Francisco Mañosa . In the master plan, the main objective was the creation of a unified learning environment, with the school grounds having
16800-435: The former was moved to the St. Mutien Marie Building, and the latter near the Our Lady of the Star (OLSTAR) chapel. In 2005, the central garden separating the Grade School and High School libraries was converted into an iNook , formerly Cybernook , which houses a considerable number of computers available for use by the school community. The iNook now uses MacBooks . Also constructed was a state-of-the-art "E-Classroom" which
16950-447: The increasing number of students in the grade school department of the former De La Salle College (Now, De La Salle University ) in Manila . The first De La Salle School in the Philippines, De La Salle College was opened on June 16, 1911, on Calle Nozaleda in Paco, Manila , at the request of the Archbishop of Manila , Jeremiah James Harty to the Brothers of the Christian Schools . It is interesting to note that Archbishop Harty had
17100-491: The interaction between mathematical innovations and scientific discoveries has led to a correlated increase in the development of both. At the end of the 19th century, the foundational crisis of mathematics led to the systematization of the axiomatic method , which heralded a dramatic increase in the number of mathematical areas and their fields of application. The contemporary Mathematics Subject Classification lists more than sixty first-level areas of mathematics. Before
17250-400: The introduction of coordinates by René Descartes (1596–1650) for reducing geometry to algebra, and the development of calculus by Isaac Newton (1643–1727) and Gottfried Leibniz (1646–1716). Leonhard Euler (1707–1783), the most notable mathematician of the 18th century, unified these innovations into a single corpus with a standardized terminology, and completed them with the discovery and
17400-498: The latest edition being published in 2013 in Manila. Spanish served in an official capacity as language of the government during the Spanish period. Spanish played a significant role in unifying the Philippines, a country made up of over 7,000 islands with a multitude of ethnicities, languages, and cultures. Before Spanish rule, the archipelago was not a unified nation, but rather a collection of independent kingdoms, sultanates, and tribes, each with its own language and customs. During
17550-401: The latter national. This is similar to the comparison between Castilian and Spanish , or Mandarin and Chinese . Political designations aside, Tagalog and Filipino are linguistically the same, sharing, among other things, the same grammatical structure. On May 23, 2007, Ricardo Maria Nolasco, KWF chair and a linguistics expert, acknowledged in a keynote speech during the NAKEM Conference at
17700-408: The lexicon of the country's other languages, something toward which the commission was working. On August 24, 2007, Nolasco elaborated further on the relationship between Tagalog and Filipino in a separate article, as follows: Are "Tagalog," "Pilipino" and "Filipino" different languages? No, they are mutually intelligible varieties, and therefore belong to one language. According to the KWF, Filipino
17850-454: The love of reading for the Grade School students such as the Book Lovers and Catch Them Read Programs. The Division 1 Library serves the Prep levels as well as Grades 1 through 3 of the school. It is located in the St. Br. Miguel Hall and is the newest library on campus. This library was first housed at the Prep Building, which has since been demolished and replaced by the Br. V. Felix Masson and Br. Miguel Halls. The Adult Night High School
18000-425: The main Dental and Medical Clinic, and Hardin ng Batang Lasalyano. On the second floor, one can find the classrooms for Grades 6E to 6I, 7A to 7I, 8A and the Grades 7 to 8 Student Counseling Rooms, the office of the School Counseling Head, the Faculty Room, the Subject Coordinators’ Office. On the third floor are classrooms for Grade 8B to 8I, 9A to 9I and 10A-10I, High School GEM Room, G9 and G10 Counseling Rooms, and
18150-481: The male dormitory on the second floor and female dormitory on the third floor. Each dormitory can accommodate 40 overnight guests. The Our Lady of the Star Chapel on the second floor of the Br. Ceci Hojilla, FSC Center for Lasallian Formation has its own choir loft and can accommodate 460 people. The Campus has a state-of-the-art Sports Pavilion, used for different events such as Physical Education Classes, Intramurals Events, Eucharistic celebrations, etc. The campus
18300-409: The manipulation of numbers , that is, natural numbers ( N ) , {\displaystyle (\mathbb {N} ),} and later expanded to integers ( Z ) {\displaystyle (\mathbb {Z} )} and rational numbers ( Q ) . {\displaystyle (\mathbb {Q} ).} Number theory was once called arithmetic, but nowadays this term
18450-431: The name did not, however, result in universal acceptance among non- Tagalogs , especially Cebuanos who had previously not accepted the 1937 selection. The 1960s saw the rise of the purist movement where new words were being coined to replace loanwords. This era of "purism" by the SWP sparked criticisms by a number of persons. Two counter-movements emerged during this period of "purism": one campaigning against Tagalog and
18600-400: The natural numbers, there are theorems that are true (that is provable in a stronger system), but not provable inside the system. This approach to the foundations of mathematics was challenged during the first half of the 20th century by mathematicians led by Brouwer , who promoted intuitionistic logic , which explicitly lacks the law of excluded middle . These problems and debates led to
18750-536: The objects defined this way is a philosophical problem that mathematicians leave to philosophers, even if many mathematicians have opinions on this nature, and use their opinion—sometimes called "intuition"—to guide their study and proofs. The approach allows considering "logics" (that is, sets of allowed deducing rules), theorems, proofs, etc. as mathematical objects, and to prove theorems about them. For example, Gödel's incompleteness theorems assert, roughly speaking that, in every consistent formal system that contains
18900-401: The official name of Tagalog, or even a synonym of it. Today's Filipino language is best described as "Tagalog-based". The language is usually called Tagalog within the Philippines and among Filipinos to differentiate it from other Philippine languages, but it has also come to be known as Filipino to differentiate it from the languages of other countries; the former implies a regional origin,
19050-493: The other campaigning for more inclusiveness in the national language. In 1963, Negros Occidental congressman Innocencio V. Ferrer took a case reaching the Supreme Court questioning the constitutionality of the choice of Tagalog as the basis of the national language (a case ruled in favor of the national language in 1970). Accusing the national language as simply being Tagalog and lacking any substantial input from other Philippine languages, Congressman Geruncio Lacuesta eventually led
19200-445: The other hand, is composed of ten subject areas, which are: Christian Living, English, Araling Panlipunan , Filipino, Science, Math, Music and Art, Physical Education, and Technology and Home Economics. The school also encourages its students to participate in academic contests, which serve as enrichment opportunities. Zobel has been a consistent top performer in academic contests such the Metrobank -Mathematics Teachers Association of
19350-458: The pattern of physics and metaphysics , inherited from Greek. In English, the noun mathematics takes a singular verb. It is often shortened to maths or, in North America, math . In addition to recognizing how to count physical objects, prehistoric peoples may have also known how to count abstract quantities, like time—days, seasons, or years. Evidence for more complex mathematics does not appear until around 3000 BC , when
19500-822: The peoples of Member States themselves and among the peoples of territories under their jurisdiction. ang Pangkalahatáng Kapulungán ay nagpapahayág ng PANGKALAHATÁNG PAGPAPAHAYÁG NA ITÓ NG MGÁ KARAPATÁN NG TÁO bílang pangkalahatáng pamantáyang maisasagawâ pára sa lahát ng táo at bansâ, sa layúning ang báwat táo at báwat galamáy ng lipúnan, na láging nása ísip ang Pahayág na itó, ay magsíkap sa pamamagítan ng pagtutúrò at edukasyón na maitagúyod ang paggálang sa mgá karapatán at kalayáang itó at sa pamamagítan ng mgá hakbáng na pagsúlong na pambansâ at pandaigdíg, ay makamtán ang pangkalahatán at mabísang pagkilála at pagtalíma sa mgá itó, magíng ng mgá mamamayán ng mgá Kasáping Estádo at ng mgá mamamayán ng mgá teritóryo na nása ilálim ng kaniláng nasasakúpan. Mathematics Mathematics
19650-409: The primary language for education, governance, and law. At present, Spanish was designated an optional and voluntary language under the 1987 Constitution, along with Arabic. While Spanish and English were considered "official languages" during the American colonial period, there existed no "national language" initially. Article XIII, section 3 of the 1935 constitution establishing the Commonwealth of
19800-605: The proof of numerous theorems. Perhaps the foremost mathematician of the 19th century was the German mathematician Carl Gauss , who made numerous contributions to fields such as algebra, analysis, differential geometry , matrix theory , number theory, and statistics . In the early 20th century, Kurt Gödel transformed mathematics by publishing his incompleteness theorems , which show in part that any consistent axiomatic system—if powerful enough to describe arithmetic—will contain true propositions that cannot be proved. Mathematics has since been greatly extended, and there has been
19950-409: The rehearsal rooms of the performing arts groups of the school, as well as the music and art classrooms. There are also two box offices located in the building, one at the ground level of the lobby, and one at the upper level, just by the dance studio . The Performing Arts Center is currently under complete renovation of the main theater . The building also houses the Music and Art rooms. Adjacent to
20100-501: The same name was written by Czech Jesuit missionary Paul Klein (known locally as Pablo Clain) at the beginning of the 18th century. Klein spoke Tagalog and used it actively in several of his books. He wrote a dictionary, which he later passed to Francisco Jansens and José Hernández. Further compilation of his substantial work was prepared by Juan de Noceda and Pedro de Sanlúcar and published as Vocabulario de la lengua tagala in Manila in 1754 and then repeatedly re-edited, with
20250-398: The same personal pronouns (siya, ako, niya, kanila, etc.); the same demonstrative pronouns (ito, iyan, doon, etc.); the same linkers (na, at and ay); the same particles (na and pa); and the same verbal affixes -in, -an, i- and -um-. In short, same grammar, same language. In connection with the use of Filipino, or specifically the promotion of the national language, the related term Tagalista
20400-428: The same year, Quezon proclaimed Tagalog as the basis of the Wikang Pambansâ (National Language) giving the following factors: On June 7, 1940, the Philippine National Assembly passed Commonwealth Act No. 570 declaring that the Filipino national language would be considered an official language effective July 4, 1946 (coinciding with the country's expected date of independence from the United States). That same year,
20550-657: The study and the manipulation of formulas . Calculus , consisting of the two subfields differential calculus and integral calculus , is the study of continuous functions , which model the typically nonlinear relationships between varying quantities, as represented by variables . This division into four main areas—arithmetic, geometry, algebra, and calculus —endured until the end of the 19th century. Areas such as celestial mechanics and solid mechanics were then studied by mathematicians, but now are considered as belonging to physics. The subject of combinatorics has been studied for much of recorded history, yet did not become
20700-506: The study of approximation and discretization with special focus on rounding errors . Numerical analysis and, more broadly, scientific computing also study non-analytic topics of mathematical science, especially algorithmic- matrix -and- graph theory . Other areas of computational mathematics include computer algebra and symbolic computation . The word mathematics comes from the Ancient Greek word máthēma ( μάθημα ), meaning ' something learned, knowledge, mathematics ' , and
20850-672: The theory under consideration. Mathematics is essential in the natural sciences , engineering , medicine , finance , computer science , and the social sciences . Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation. Some areas of mathematics, such as statistics and game theory , are developed in close correlation with their applications and are often grouped under applied mathematics . Other areas are developed independently from any application (and are therefore called pure mathematics ) but often later find practical applications. Historically,
21000-487: The title of his main treatise . Algebra became an area in its own right only with François Viète (1540–1603), who introduced the use of variables for representing unknown or unspecified numbers. Variables allow mathematicians to describe the operations that have to be done on the numbers represented using mathematical formulas . Until the 19th century, algebra consisted mainly of the study of linear equations (presently linear algebra ), and polynomial equations in
21150-456: The two main precursors of algebra. Diophantus solved some equations involving unknown natural numbers by deducing new relations until he obtained the solution. Al-Khwarizmi introduced systematic methods for transforming equations, such as moving a term from one side of an equation into the other side. The term algebra is derived from the Arabic word al-jabr meaning 'the reunion of broken parts' that he used for naming one of these methods in
21300-462: The use of Filipino as a medium of official communication and as language of instruction in the educational system. and: The regional languages are the auxiliary official languages in the regions and shall serve as auxiliary media of instruction therein. Section 17(d) of Executive Order 117 of January 30, 1987 renamed the Institute of National Language as Institute of Philippine Languages . Republic Act No. 7104, approved on August 14, 1991, created
21450-406: Was first elaborated for geometry, and was systematized by Euclid around 300 BC in his book Elements . The resulting Euclidean geometry is the study of shapes and their arrangements constructed from lines, planes and circles in the Euclidean plane ( plane geometry ) and the three-dimensional Euclidean space . Euclidean geometry was developed without change of methods or scope until
21600-443: Was generally used by the ruling classes and the merchants from the states and various cultures in the Philippine archipelago for international communication as part of maritime Southeast Asia. In fact, Filipinos first interacted with the Spaniards using the Malay language. In addition to this, 16th-century chroniclers of the time noted that the kings and lords in the islands usually spoke around five languages. Spanish intrusion into
21750-414: Was introduced independently and simultaneously by 17th-century mathematicians Newton and Leibniz . It is fundamentally the study of the relationship of variables that depend on each other. Calculus was expanded in the 18th century by Euler with the introduction of the concept of a function and many other results. Presently, "calculus" refers mainly to the elementary part of this theory, and "analysis"
21900-437: Was not specifically studied by mathematicians. Before Cantor 's study of infinite sets , mathematicians were reluctant to consider actually infinite collections, and considered infinity to be the result of endless enumeration . Cantor's work offended many mathematicians not only by considering actually infinite sets but by showing that this implies different sizes of infinity, per Cantor's diagonal argument . This led to
22050-410: Was opened as a form of outreach to the underprivileged who would want to finish their high school education. It was established during School Year 1997–1998 during the term of Dr. Judith Aldaba. Classes were first held at the Putatan Elementary School and were composed of 69 students in two freshman classes with ages ranging from 14 to 41. Classes were relocated to the Alabang Elementary School during
22200-409: Was reported that three Malolos City regional trial courts in Bulacan decided to use Filipino, instead of English , in order to promote the national language. Twelve stenographers from Branches 6, 80 and 81, as model courts, had undergone training at Marcelo H. del Pilar College of Law of Bulacan State University following a directive from the Supreme Court of the Philippines . De la Rama said it
22350-571: Was split into two new subfields: synthetic geometry , which uses purely geometrical methods, and analytic geometry , which uses coordinates systemically. Analytic geometry allows the study of curves unrelated to circles and lines. Such curves can be defined as the graph of functions , the study of which led to differential geometry . They can also be defined as implicit equations , often polynomial equations (which spawned algebraic geometry ). Analytic geometry also makes it possible to consider Euclidean spaces of higher than three dimensions. In
22500-416: Was the dream of Chief Justice Reynato Puno to implement the program in other areas such as Laguna , Cavite , Quezon , Aurora , Nueva Ecija , Batangas , Rizal , and Metro Manila , all of which mentioned are natively Tagalog-speaking. Since 1997, a month-long celebration of the national language occurs during August, known in Filipino as Buwan ng Wika (Language Month). Previously, this lasted only
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