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In mathematics , the slope or gradient of a line is a number that describes the direction of the line on a plane . Often denoted by the letter m , slope is calculated as the ratio of the vertical change to the horizontal change ("rise over run") between two distinct points on the line, giving the same number for any choice of points.

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97-569: Mandaue , officially the City of Mandaue ( Cebuano : Dakbayan sa Mandaue ), is a 1st class highly urbanized city in the Central Visayas region of the Philippines . According to the 2020 census, it has a population of 364,116 people. It is geographically located on the central-eastern coastal region of Cebu by Philippine Statistics Authority but administratively independent from

194-659: A Cebuano-English dictionary in 1955, and an English-Cebuano dictionary in 1983. During the Spanish Colonial Period , the Spaniards broadly referred to the speakers of Hiligaynon, Cebuano, Waray, Kinaray-a , and Aklanon as Visaya and made no distinctions among these languages. As of the 2020 (but released in 2023) statistics released by the Philippine Statistics Authority , the current number of households that speak Cebuano

291-513: A Spanish priest, compiled a grammar book on the language, but his work was published sometime only by the early 19th century CE. The priest recorded the letters of the Latin alphabet used for the language, and in a separate report, his name was listed as the recorder of the non-Latin characters used by the natives. Cebuano written literature is generally agreed to have started with Vicente Yap Sotto , who wrote " Maming" in 1901, but earlier he wrote

388-698: A bulwark for the church in the northern Cebu and was managed by the Jesuit in 1638 then a century later by the Recollects. The Philippine Revolution of 1898 gave the town a new form of administration in accordance with the organic decree of the Central Revolutionary Government. The short-lived revolution was overthrown by the American troops and a battle nearly destroyed the town in 1901, killing Presidente Benito Ceniza. Mandaue

485-404: A curve, then the slope given by the above definition, is the slope of a secant line to the curve. For a line, the secant between any two points is the line itself, but this is not the case for any other type of curve. For example, the slope of the secant intersecting y = x at (0,0) and (3,9) is 3. (The slope of the tangent at x = 3 ⁄ 2 is also 3 −  a consequence of

582-491: A flourishing group of Austronesian people. The Venetian chronicler Antonio Pigafetta wrote of a settlement called "Mandaui" which existed in the area with a chieftain named Apanoaan some called him Lambuzzan in other accounts. Mandaue natives were forced into a town as decreed by the Spanish authorities. This may have started off as a mission village (which included present day Consolacion , Liloan and Poro ) serving as

679-451: A line is the absolute value of its slope: greater absolute value indicates a steeper line. The line trend is defined as follows: Special directions are: If two points of a road have altitudes y 1 and y 2 , the rise is the difference ( y 2 − y 1 ) = Δ y . Neglecting the Earth's curvature , if the two points have horizontal distance x 1 and x 2 from a fixed point,

776-608: A more patriotic piece of literature that was published a year later after Maming because of American censorship during the US occupation of the Philippines . However, there existed a piece that was more of a conduct book rather than a fully defined story itself, written in 1852 by Fray Antonio Ubeda de la Santísima Trinidad. Below is the vowel system of Cebuano with their corresponding letter representation in angular brackets: Sometimes, ⟨a⟩ may also be pronounced as

873-402: A national secondary road which traverses the city's metropolitan area. The total length of the city road network (paved and unpaved) and the four bridges, is about 133.7 km (83.1 mi), broken down into: Road density is 5.31 km/km (8.55 mi/sq mi) of land. In terms of population, road density is 0.04 km (0.025 mi) per one thousand inhabitants. Land transportation

970-522: A part of the Cebu Metropolitan area and was part of the sixth district of Cebu joined with the municipalities of Consolacion and Cordova - it was qualified for a lone district since 1991. On April 5, 2019, the city became a lone legislative district. As of June 30, 2022, Mandaue had its first representation in the 19th Congress of the Philippines . A community was established in Mandaue by

1067-467: A population of 160 in 1637 to 1638. Mandaue had 10,309 souls according to the Buzeta & Bravo (1850) . During the first year of its township in 1899, Mandaue had 42 barrios with a population of 21,086. When Mandaue was a second class municipality in 1964 its population was 33,811. According to the 2020 census, it has a population of 364,116, which is an increase of 104,388 from the 2000 census. Among all

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1164-562: A slope given as a percentage into an angle in degrees and vice versa are: and where angle is in degrees and the trigonometric functions operate in degrees. For example, a slope of 100 % or 1000 ‰ is an angle of 45°. A third way is to give one unit of rise in say 10, 20, 50 or 100 horizontal units, e.g. 1:10. 1:20, 1:50 or 1:100 (or "1 in 10", "1 in 20", etc.) 1:10 is steeper than 1:20. For example, steepness of 20% means 1:5 or an incline with angle 11.3°. Roads and railways have both longitudinal slopes and cross slopes. The concept of

1261-399: A slope is central to differential calculus . For non-linear functions, the rate of change varies along the curve. The derivative of the function at a point is the slope of the line tangent to the curve at the point and is thus equal to the rate of change of the function at that point. If we let Δ x and Δ y be the distances (along the x and y axes, respectively) between two points on

1358-736: A speaker's aforementioned statements. For instance, a Davaoeño might say "Tuá man atà sa baláy si Manuel" instead of "Tuá man tingáli sa baláy si Manuel" . The word atà does exist in Cebuano, though it means 'squid ink' in contrast to Tagalog (e.g. atà sa nukos ). Other examples include: Nibabâ ko sa jeep sa kanto , tapos niulî ko sa among baláy ("I got off the jeepney at the street corner, and then I went home") instead of Ninaog ko sa jeep sa eskina , dayon niulî ko sa among baláy . The words babâ and naog mean "to disembark" or "to go down", kanto and eskina mean "street corner", while tapos and dayon mean "then"; in these cases,

1455-627: A spirit of brotherhood. And below is the official translation of the Lord's Prayer . Amahán namò nga anaa sa mga langit, pagdaygon ang imong ngalan, umabót kanamò ang imong gingharian, matuman ang imong pagbuót, dinhí sa yutà maingón sa langit. Ang kalan-on namò sa matag adlaw, ihatag kanamò karóng adlawa. Ug pasayloa kamí sa among mga salâ, ingón nga nagapasaylo kamí sa mga nakasalâ kanamò. Ug dilì mo kamí itugyan sa panuláy, hinunua luwasá kamí sa daután. Amen. Our Father in heaven, hallowed be your name, your kingdom come, your will be done, on earth as it

1552-409: Is approximately 1.72 million and around 6.5% of the country's population speak it inside their home. However, in a journal published in 2020, the number of speakers is estimated to be 15.9 million which in turn based it on a 2019 study. Cebuano is spoken in the provinces of Cebu , Bohol , Siquijor , Negros Oriental , northeastern Negros Occidental (as well as the municipality of Hinoba-an and

1649-410: Is (−2,4). The derivative of this function is d y ⁄ d x = 2 x . So the slope of the line tangent to y at (−2,4) is 2 ⋅ (−2) = −4 . The equation of this tangent line is: y − 4 = (−4)( x − (−2)) or y = −4 x − 4 . An extension of the idea of angle follows from the difference of slopes. Consider the shear mapping Then ( 1 , 0 ) {\displaystyle (1,0)}

1746-630: Is a pushback on these objections. Some language enthusiasts insist on referring to the language as Cebuano because, as they claim, using the terms Bisayâ and Binisayâ to refer to ethnicity and language, respectively, is exclusivist and disenfranchises the speakers of the Hiligaynon language and the Waray language who also refer to their languages as Binisayâ to distinguish them from Cebuano Bisayâ . Existing linguistic studies on Visayan languages, most notably that of R. David Paul Zorc, has described

1843-429: Is also often replaced with d͡ʒ ⟨j/dy⟩ when it is in the beginning of a syllable (e.g. kalayo , "fire", becomes kalajo ). It can also happen even if the ⟨y⟩ is at the final position of the syllable and the word, but only if it is moved to the initial position by the addition of the affix -a . For example, baboy ("pig") can not become baboj , but baboya can become baboja. All of

1940-619: Is also present in the alphabet since it is part of the phonology of most Philippine languages representing the sound of the velar nasal /ŋ/ (e.g. ngipon , "teeth" and ngano , "why"). Cebuano shares many cognates with other Austronesian languages and its descendants. Early trade contact resulted in the adoption of loanwords from Malay (despite belonging in the same language family) like " sulát" ("to write") , "pilak" ("silver"), and " balísa" ("anxious"); it also adopted words from Sanskrit like " bahandì" ("wealth, goods, riches") from "भाण्ड, bhānda" ("goods"), and bása ("to read")

2037-531: Is being served by PUJ , utility vehicles, mini-buses, multi-cabs, tricycles, trisikads and for cargoes, trailers and vans. Sea transport of Mandaue is highly dependent on Port of Cebu and Cebu International Port, because of the city's proximity to these facilities. MyBus expansion is a 9.5 kilometers new road starting from boundary of SM City Cebu – Cebu International Port to SM City J Mall in October 2024. In 2017, it began operations along City di Mare at

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2134-400: Is distinctive in retaining /l/ sounds and longer word forms as well. It is the primary dialectal language of the entire province of Negros Oriental and northeastern parts of Negros Occidental (while the majority of the latter province and its bordered areas speaks Hiligaynon/Ilonggo), as well as some parts of Siquijor . Examples of Negrense Cebuano's distinction from other Cebuano dialects

2231-426: Is dubbed as the industrial hub of Region VII and hosts about 10,000 industrial and commercial businesses, making it a "little rich city" in the country. It is home to some of the world's biggest companies such as San Miguel Corp. , Coca-Cola Bottling Corp. Shemberg , the number one exporter of carrageenan , Monde Nissin , Profood International Corp., and 7D Dried Mangoes. Mandaue City also accounts for 75 percent of

2328-487: Is found all over Mandaue eaten with puso , a diamond-shaped hanged rice covered in coco leaves. Kinilaw is raw meat usually pork or fish drenched in vinegar and salt. The buwad or dried seafood, either fish or squid, can be pungent with a crunchy and chewy texture. There are some exotic meals that can be found like dinuguan or pig's blood which is eaten like a soup. Barbecued chicken feet are liked by many locals. Original cuisine in Mandaue includes bibingka which

2425-639: Is from Spanish, being more culturally influenced by Spanish priests from the late 16th century and invigorated by the opening of the Suez canal in the 1860s that encouraged European migrations to Asia, most notably its numeral system. English words are also used extensively in the language and mostly among the educated ones, even sometimes using the English word rather than the direct Cebuano. For example, instead of saying "magpalít" (" to buy ", in future tense), speakers would often say "mag- buy " . Currently,

2522-407: Is in heaven. Give us today our daily bread. And forgive us our debts, as we also have forgiven our debtors. And lead us not into temptation, but deliver us from the evil one. Amen. Source: There is no standardized orthography for Cebuano, but spelling in print usually follow the pronunciation of Standard Cebuano, regardless of how it is actually spoken by the speaker. For example, baláy ("house")

2619-654: Is mapped to ( 1 , v ) {\displaystyle (1,v)} . The slope of ( 1 , 0 ) {\displaystyle (1,0)} is zero and the slope of ( 1 , v ) {\displaystyle (1,v)} is v {\displaystyle v} . The shear mapping added a slope of v {\displaystyle v} . For two points on { ( 1 , y ) : y ∈ R } {\displaystyle \{(1,y):y\in \mathbb {R} \}} with slopes m {\displaystyle m} and n {\displaystyle n} ,

2716-439: Is phonemic, which means that words with different accent placements, such as dapít (near) and dápit (place), are considered separate. The stress is predictably on the penult when the second-to-last syllable is closed (CVC or VC). On the other hand, when the syllable is open (CV or V), the stress can be on either the penultimate or the final syllable (although there are certain grammatical conditions or categories under which

2813-564: Is pronounced /baˈl̪aɪ/ in Standard Cebuano and is thus spelled "baláy", even in Urban Cebuano where it is actually pronounced /ˈbaɪ/ . Cebuano is spoken natively over a large area of the Philippines and thus has numerous regional dialects. It can vary significantly in terms of lexicon and phonology depending on where it is spoken. Increasing usage of spoken English (being the primary language of commerce and education in

2910-480: Is similar to that of other varieties; however, current speakers exhibit uniquely strong Tagalog influence in their speech by substituting most Cebuano words with Tagalog ones. This is because the older generations speak Tagalog to their children in home settings, and Cebuano is spoken in other everyday settings, making Tagalog the secondary lingua franca. One characteristic of this dialect is the practice of saying atà , derived from Tagalog yatà , to denote uncertainty in

3007-414: Is spoken as a ten and a unit . For example, 11 is spoken as " napulò ug usá" , shortened to " napulò'g usá" (lit. "ten and one"), 111 is spoken as "usa ka gatós, napulò ug usá", and 1111 is spoken as "usá ka libo, usá ka gatós, napulò ug usá". The ordinal counting uses the prefix ika - , and then the unit, except for "first" which is "una" . For example, ika- duhá means "second". Below

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3104-522: Is spoken by the Visayan ethnolinguistic groups native to the islands of Cebu , Bohol , Siquijor , the eastern half of Negros , the western half of Leyte , and the northern coastal areas of Northern Mindanao and the eastern part of Zamboanga del Norte due to Spanish settlements during the 18th century. In modern times, it has also spread to the Davao Region , Cotabato , Camiguin , parts of

3201-427: Is steamed rice cakes mixed with coconut and sometimes egg. Binangos paired with rice is made of ground up corn with Bolinao fish. This dish is found only in Mandaue; other delicacies includes the tagaktak , the seasonal buriring fish (stewed with iba ) and the famous masareal . Mandaue City's road network is composed of a national highway which connects the city to its neighboring cities and municipalities, and

3298-460: Is taken from "वाचा, vācā" ("sacred text") and Arabic like the word "alam" ("to know") is said to be borrowed from Arabic "عَالَم, ʕālam " ("things, creation, existing before") , and " salamat" ("expression of gratitude, thanks, thank you") from "سَلَامَات, salāmāt " ("plural form of salāma, meaning "good health"), both of which were indirectly transmitted to Cebuano through Malays. The biggest component of loanwords that Cebuano uses

3395-472: Is the standard deviation of the y-values and s x {\displaystyle s_{x}} is the standard deviation of the x-values. This may also be written as a ratio of covariances : There are two common ways to describe the steepness of a road or railroad . One is by the angle between 0° and 90° (in degrees), and the other is by the slope in a percentage. See also steep grade railway and rack railway . The formulae for converting

3492-461: Is the exact slope of the tangent. If y is dependent on x , then it is sufficient to take the limit where only Δ x approaches zero. Therefore, the slope of the tangent is the limit of Δ y /Δ x as Δ x approaches zero, or d y /d x . We call this limit the derivative . The value of the derivative at a specific point on the function provides us with the slope of the tangent at that precise location. For example, let y = x . A point on this function

3589-550: Is the official translation of Article 1 of the Universal Declaration of Human Rights taken from the official United Nations website: Ang tanáng katawhan gipakatawo nga adunay kagawasan ug managsama sa kabililhon. Silá gigasahan sa pangisip ug tanlag ug kinahanglang mag-ilhanáy sa usá'g-usá dihâ sa diwà sa panág-higsuonáy. All human beings are born free and equal in dignity and rights. They are endowed with reason and conscience and should act towards one another in

3686-493: Is the usage of the word maot instead of batî ("ugly"), alálay , kalálag instead of kalag-kalag (Halloween), kabaló/kahibaló and kaágo/kaantígo instead of kabawó/kahíbawó ("know"). Slope The line may be physical – as set by a road surveyor , pictorial as in a diagram of a road or roof, or abstract . An application of the mathematical concept is found in the grade or gradient in geography and civil engineering . The steepness , incline, or grade of

3783-674: Is the variety of Cebuano spoken throughout most of Mindanao , and it is the standard dialect of Cebuano in Northern Mindanao . A branch of Mindanaoan Cebuano in Davao is also known as Davaoeño (not to be confused with the Davao variant of Chavacano which is called "Castellano Abakay"). Like the Cebuano of Luzon, it contains some Tagalog vocabulary, which speakers may use even more frequently than in Luzon Cebuano. Its grammar

3880-480: Is −1. So these two lines are perpendicular. In statistics , the gradient of the least-squares regression best-fitting line for a given sample of data may be written as: This quantity m is called as the regression slope for the line y = m x + c {\displaystyle y=mx+c} . The quantity r {\displaystyle r} is Pearson's correlation coefficient , s y {\displaystyle s_{y}}

3977-421: The x -axis is Consider the two lines: y = −3 x + 1 and y = −3 x − 2 . Both lines have slope m = −3 . They are not the same line. So they are parallel lines. Consider the two lines y = −3 x + 1 and y = ⁠ x / 3 ⁠ − 2 . The slope of the first line is m 1 = −3 . The slope of the second line is m 2 = ⁠ 1 / 3 ⁠ . The product of these two slopes

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4074-542: The Cabahug Medal which was started on 1923 by Sotero Cabahug as a medal of academic excellence annually. The Mandaue Fraternal Society was also created in the early part of the 19th century to provide a community for the professionals during the time when Mandaue was still a sleepy town. Cebu's part-time Japanese school , the Cebu Japanese School (CJS; セブ補習授業校 Sebu Hoshū Jugyō Kō ), is located on

4171-465: The Dinagat Islands , and the lowland regions of Caraga , often displacing native languages in those areas (most of which are closely related to the language). While Tagalog has the largest number of native speakers among the languages of the Philippines today, Cebuano had the largest native-language-speaking population in the Philippines from the 1950s until about the 1980s. It is by far

4268-800: The ISO 639-2 three-letter code ceb , but not an ISO 639-1 two-letter code. The Commission on the Filipino Language , the Philippine government body charged with developing and promoting the national and regional languages of the country, spells the name of the language in Filipino as Sebwano . The term Cebuano derives from " Cebu "+" ano ", a Latinate calque reflecting the Philippines' Spanish colonial heritage. Speakers of Cebuano in Cebu and even those from outside of Cebu commonly refer to

4365-666: The South Road Properties . Mandaue houses two universities, the Cebu Doctors' University and the Lapu-Lapu–Mandaue campus of the University of Cebu . There are also technical schools like TESDA in barangays Banilad and Looc and other private institutions that provide certificate degrees. Associate degree, Baccalaureate Degrees, Master's and Doctoral programs. Mandaue has institutionalized learning with

4462-406: The mean value theorem .) By moving the two points closer together so that Δ y and Δ x decrease, the secant line more closely approximates a tangent line to the curve, and as such the slope of the secant approaches that of the tangent. Using differential calculus , we can determine the limit , or the value that Δ y /Δ x approaches as Δ y and Δ x get closer to zero ; it follows that this limit

4559-497: The open-mid back unrounded vowel /ʌ/ (as in English "g u t"); ⟨e⟩ or ⟨i⟩ as the near-close near-front unrounded vowel /ɪ/ (as in English "b i t"); and ⟨o⟩ or ⟨u⟩ as the open-mid back rounded vowel /ɔ/ (as in English "th ou ght") or the near-close near-back rounded vowel /ʊ/ (as in English "h oo k"). During the precolonial and Spanish period, Cebuano had only three vowel phonemes: /a/ , /i/ and /u/ . This

4656-452: The English numeral system instead, especially for numbers more than 100. The language uses a base 10 numeral system, thence the sets of ten are ultimately derived from the unit except the first ten which is "napulò" , this is done by adding a prefix ka- , then followed by a unit, and then the suffix -an . For example, 20 is spoken as ka-duhá-an (lit. "the second set of ten"). The numbers are named from 1-10, for values after 10, it

4753-647: The Local Government Code of 1991. ) Cebuano language Cebuano ( / s ɛ ˈ b w ɑː n oʊ / se- BWAH -noh ) is an Austronesian language spoken in the southern Philippines . It is natively, though informally, called by its generic term Bisayâ ( [bisəˈjaʔ] ) or Binisayâ ( [bɪniːsəˈjaʔ] ) (both terms are translated into English as Visayan , though this should not be confused with other Bisayan languages ) and sometimes referred to in English sources as Cebuan ( / s ɛ ˈ b uː ən / seb- OO -ən ). It

4850-469: The Philippine's highly urbanized cities, the City of Mandaue posted the highest proportion of household population who reported Roman Catholic as their religious affiliation at 95.2%. Mandaue has a significantly large population at or below the poverty line. Poverty incidence of Mandaue Source: Philippine Statistics Authority About 40 percent of Cebu's export companies are found in Mandaue. The city

4947-474: The Philippines) has also led to the introduction of new pronunciations and spellings of old Cebuano words. Code-switching forms of English and Bisaya ( Bislish ) are also common among the educated younger generations. There are four main dialectal groups within Cebuano aside from Standard Cebuano and Urban Cebuano. They are as follows: The Boholano dialect of Bohol shares many similarities with

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5044-522: The abandoned and disrepaired state of the convention center. Mandaue has many restaurants which cater to gourmets and international cuisines like Italian, Japanese, Indian, Mediterranean, Lebanese, Arabic, Russian, Korean, Mexican, and Western cuisines. A variety of restaurants also serves meals of local cuisine. Many famous Cebuano meals like the lechon or inasal , eaten with achara or pickled vegetables. The sugba or barbecue of either isda (fish), baboy (pork), manok (chicken) or baka (beef)

5141-471: The above equation generates the formula: The formula fails for a vertical line, parallel to the y {\displaystyle y} axis (see Division by zero ), where the slope can be taken as infinite , so the slope of a vertical line is considered undefined. Suppose a line runs through two points: P  = (1, 2) and Q  = (13, 8). By dividing the difference in y {\displaystyle y} -coordinates by

5238-423: The above substitutions are considered allophonic and do not change the meaning of the word. In rarer instances, the consonant ⟨d⟩ might also be replaced with ⟨r⟩ when it is in between two vowels (e.g. Boholano idô for standard Cebuano irô , "dog"), but ⟨d⟩ and ⟨r⟩ are not considered allophones, though they may have been in the past. Stress accent

5335-483: The beginning of a word (e.g. ngano , "why"). The glottal stop / ʔ / is most commonly encountered in between two vowels, but can also appear in all positions. Like in Tagalog , glottal stops are usually not indicated in writing. When indicated, it is commonly written as a hyphen or an apostrophe if the glottal stop occurs in the middle of the word (e.g. tu-o or tu'o , "right"). More formally, when it occurs at

5432-406: The change in x {\displaystyle x} from one to the other is x 2 − x 1 {\displaystyle x_{2}-x_{1}} ( run ), while the change in y {\displaystyle y} is y 2 − y 1 {\displaystyle y_{2}-y_{1}} ( rise ). Substituting both quantities into

5529-424: The cities of Kabankalan and Sipalay to a great extent, alongside Ilonggo ), southern Masbate , western portions of Leyte and Biliran (to a great extent, alongside Waray ), and a large portion of Mindanao , notably the urban areas of Zamboanga Peninsula , Northern Mindanao , Davao Region , Caraga and some parts of Soccsksargen (alongside Ilonggo, Maguindanaon , indigenous Mindanaoan languages and to

5626-483: The city, comprising about 70%, is dominated by the Mandaue Clay Loam soil series. This is found in the 0-2% and 2-5% slope ranges. Faraon clay loam characterizes the rest of the land with slope range from 5-8% and up to 25-40%. Mandaue is politically subdivided into 27 barangays. Each barangay consists of puroks and some have sitios . Data showed that the oldest written accounts of Mandaue came from

5723-476: The consonant /w/ ). Loanwords , however, are usually more conservative in their orthography and pronunciation (e.g. dyip , " jeepney " from English "jeep", will never be written or spoken as dyep ). There are only four diphthongs since ⟨o⟩ and ⟨u⟩ are allophones. These include /aj/ , /uj/ , /aw/ , and /iw/ . For Cebuano consonants, all the stops are unaspirated. The velar nasal /ŋ/ occurs in all positions, including at

5820-466: The corresponding change in the x coordinate, between two distinct points on the line. This is described by the following equation: (The Greek letter delta , Δ, is commonly used in mathematics to mean "difference" or "change".) Given two points ( x 1 , y 1 ) {\displaystyle (x_{1},y_{1})} and ( x 2 , y 2 ) {\displaystyle (x_{2},y_{2})} ,

5917-447: The country's total exports in the furniture sector, making the city the furniture capital of the country. One of these furniture companies is Mandaue Foam which started in 1971 and now has 25 factories and showrooms nationwide. Mandaue's point of interests, destinations, and attractions include: Mandaue Fiesta : Celebrated on May 8 in honor of the town patron, St. Joseph . Activities that are typically held during this feast are

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6014-482: The difference in x {\displaystyle x} -coordinates, one can obtain the slope of the line: As another example, consider a line which runs through the points (4, 15) and (3, 21). Then, the slope of the line is For example, consider a line running through points (2,8) and (3,20). This line has a slope, m , of One can then write the line's equation, in point-slope form: or: The angle θ between −90° and 90° that this line makes with

6111-432: The dream of becoming an independent municipality came true. In 1901, Mandaue became an independent municipality. Mandaue became independent from being an American Commonwealth and a Japanese garrison on July 4, 1946, along with the entire nation. On August 30, 1969, Mandaue became a chartered city and decades later it was recognized as a highly urbanized city on February 15, 1991. In early-April 2019, Mandaue separated from

6208-543: The end of the word, it is indicated by a circumflex accent if both a stress and a glottal stop occurs at the final vowel (e.g. basâ , "wet"); or a grave accent if the glottal stop occurs at the final vowel, but the stress occurs at the penultimate syllable (e.g. batà , "child"). Below is a chart of Cebuano consonants with their corresponding letter representation in parentheses: In certain dialects, /l/ ⟨l⟩ may be interchanged with /w/ ⟨w⟩ in between vowels and vice versa depending on

6305-473: The festival, there are singing and dancing competitions with a street dancing during the Bibingkahan in honor of Santo Niño. At night, there is a ritual showdown performance which is the highlight of the cultural-religious events. Kabayo Festival : The Kabayo (Horse) festival also known as Governor's Cup is a horse racing and different equestrian sports with the western way of riding event held annually in

6402-844: The fifth floor of the Clotilde Commercial Center in Barangay Casuntingan, Mandaue City. NOTE: Television and radio stations from Cebu City are also primarily served in this area. Television stations based in Mandaue City: Radio stations licensed in Mandaue City: ( Administratively independent from the province but grouped under Cebu by the Philippine Statistics Authority . However, qualified voters in Mandaue are allowed to vote in elections for Cebu provincial officials by virtue of Republic Act No. 6641, in accordance with Section 452-c of

6499-524: The following conditions: A final ⟨l⟩ can also be replaced with ⟨w⟩ in certain areas in Bohol (e.g. tambal , "medicine", becomes tambaw ). In very rare cases in Cebu, ⟨l⟩ may also be replaced with ⟨y⟩ in between the vowels ⟨a⟩ and ⟨e⟩ / ⟨i⟩ (e.g. tingali , "maybe", becomes tingayi ). In some parts of Bohol and Southern Leyte, /j/ ⟨y⟩

6596-399: The former word is Tagalog, and the latter is Cebuano. Davaoeño speakers may also sometimes add Bagobo or Mansakan vocabulary to their speech, as in " Madayawng adlaw , amigo, kumusta ka?" (" Good day , friend, how are you?", literally "Good morning/afternoon") rather than " Maayong adlaw , amigo, kumusta ka?" The words madayaw and maayo both mean 'good', though the former is Bagobo and

6693-439: The image has slope increased by v {\displaystyle v} , but the difference n − m {\displaystyle n-m} of slopes is the same before and after the shear. This invariance of slope differences makes slope an angular invariant measure , on a par with circular angle (invariant under rotation) and hyperbolic angle, with invariance group of squeeze mappings . The concept of

6790-416: The introduction of the Latin script, its use was so rare that there is hardly any surviving accounts of Cebuano being written in what was called badlit . Modern Cebuano uses 20 letters from the Latin alphabet and it consists of 5 vowels and 15 consonants. The letters c, f, j, q, v, x and z are also used but in foreign loanwords, while the " ñ " is used for Spanish names (e.g. Santo Niño ). The " Ng " digraph

6887-501: The island of Mactan. The city's land area is only 4.5% of the total land area of Metro Cebu and less than 1% of the total land of the province of Cebu. The North Reclamation Project, now known as the North Special Administrative Zone, currently has about 180 ha (440 acres) reclaimed land. Of the 180 hectares, about 36 ha (89 acres) belong to the city. It is one of the two (the other one being

6984-534: The language as Bisayâ . The name Cebuano , however, has not been accepted by all who speak it. Cebuano speakers in certain portions of Leyte , Northern Mindanao , Davao Region , Caraga , and Zamboanga Peninsula objected to the name of the language and claimed that their ancestry traces back to Bisayâ speakers native to their place and not from immigrants or settlers from Cebu. Furthermore, they refer to their ethnicity as Bisayâ instead of Cebuano and their language as Binisayâ instead of Cebuano. However, there

7081-490: The language simply as Binisayâ or Bisayà . The Cebuano language is a descendant of the hypothesized reconstructed Proto-Philippine language , which in turn descended from Proto-Malayo-Polynesian , making it distantly related to many languages in Maritime Southeast Asia , including Indonesian and Malay . The earlier forms of the language is hard to trace as a result of lack of documents written using

7178-516: The language spoken in Cebu, Negros Occidental, Bohol (as Boholano dialect), Leyte, and most parts of Mindanao as "Cebuano". Zorc's studies on Visayan language serves as the bible of linguistics in the study of Visayan languages. The Jesuit linguist and a native of Cabadbaran , Rodolfo Cabonce, S.J., published two dictionaries during his stays in Cagayan de Oro City and Manolo Fortich in Bukidnon :

7275-407: The language through different time periods and also because the natives used to write on easily perishable material rather than on processed paper or parchment. The earliest record of the Cebuano language was first documented in a list of words compiled by Antonio Pigafetta , an Italian explorer who was part of Ferdinand Magellan 's 1521 expedition. While there is evidence of a writing system for

7372-451: The language, its use appears to have been sporadic. Spaniards recorded the Visayan script , which was called kudlit-kabadlit by the natives. Although Spanish chroniclers Francisco Alcina and Antonio de Morga wrote that almost every native was literate in the 17th century CE, it appears to have been exaggerated as accounted for lack of physical evidence and contradicting reports of different accounts. A report from 1567 CE describes how

7469-482: The latter Cebuano. One of the famous characteristics of this dialect is disregarding the agreement between the verb "To go (Adto, Anha, Anhi, Ari)" and locative demonstratives (Didto, Dinha, Dinhi, Diri) or the distance of the object/place. In Cebu Cebuano dialect, when the verb "to go" is distal (far from both the speaker and the listener), the locative demonstrative must be distal as well (e.g. Adto didto . Not " Adto diri " or " Anha didto "). In Davaoeño Cebuano on

7566-830: The lesser extent, Ilocano ). It is also spoken in some remote barangays of San Francisco and San Andres in Quezon Province in Luzon , due to its geographical contact with Cebuano-speaking parts of Burias Island in Masbate . Some dialects of Cebuano have different names for the language. Cebuano speakers from Cebu are mainly called "Cebuano" while those from Bohol are "Boholano" or "Bol-anon". Cebuano speakers in Leyte identify their dialect as Kanâ meaning that (Leyte Cebuano or Leyteño). Speakers in Mindanao and Luzon refer to

7663-458: The letter m is used for slope, but it first appears in English in O'Brien (1844) who introduced the equation of a line as " y = mx + b " , and it can also be found in Todhunter (1888) who wrote " y = mx + c ". The slope of a line in the plane containing the x and y axes is generally represented by the letter m , and is defined as the change in the y coordinate divided by

7760-572: The most widely spoken of the Bisayan languages . Cebuano is the lingua franca of Central Visayas, the western parts of Eastern Visayas, some western parts of Palawan and most parts of Mindanao . The name Cebuano is derived from the island of Cebu , which is the source of Standard Cebuano. Cebuano is also the primary language in Western Leyte—noticeably in Ormoc . Cebuano is assigned

7857-485: The municipality of Consolacion) local government units located within the mainland Metro Cebu where the elevation of land is less than 100 m (330 ft). Many of the areas of the city are extremely flat. About 77.37% is within the 0-8% slope category. Barangays belonging to this region are Centro, Looc, South Special Administrative Zone, Cambaro, Opao, Umapad, Paknaan, Alang-alang, Tipolo, Ibabao, Guizo, Subangdaku, Mantuyong, Maguikay and Tabok. The greater portion of

7954-489: The native system is mostly used as cardinal numbers and more often as ordinal numbers, and the Spanish-derived system is used in monetary and chronological terminology and is also commonly used in counting from 11 and above, though both systems can be used interchangeably regardless. The table below shows the comparison of native numerals and Spanish-derived numerals, but observably Cebuano speakers would often just use

8051-588: The natives wrote the language , and stated that the natives learned it from the Malays, but a century later another report claimed that the Visayan natives learned it from the Tagalogs. Despite the confirmation of the usage of baybayin in the region, the documents of the language being written in it other than Latin between the 17th century CE and 18th century CE are now rare. In the 18th century CE, Francisco Encina,

8148-579: The northern boundaries. Both North and South Kana are subgroups of Leyteño dialect . Both of these dialects are spoken in western and central Leyte and in the southern province, but Boholano is more concentrated in Maasin City . Northern Kanâ (found in the northern part of Leyte ), is closest to the variety of the language spoken in northern part of Leyte, and shows significant influence from Waray-Waray, quite notably in its pace which speakers from Cebu find very fast, and its more mellow tone (compared to

8245-555: The other hand does not necessarily follow that grammar. Speakers tend to say Adto diri instead of Ari diri probably due to grammar borrowing from Hiligaynon because kadto/mokadto is the Hiligaynon word for "come" or "go" in general regardless the distance. The Cebuano dialect in Negros is somewhat similar to Standard Cebuano (spoken by the majority of the provincial areas of Cebu), with distinct Hiligaynon influences. It

8342-518: The procession, inter-barangay sports competition, Miss Mandaue (the longest-running beauty competition in the province), rodeos, street festival (Mantawi Festival), bailes, fairs, and many more. Panagtagbo sa Mandaue : This is Mandaue's current major festival in honor of the Holy Family . This is celebrated every 2nd week of January on the eve of the Traslacion (Transfer of Relic), of one of

8439-535: The province. Its southeast coast borders Mactan Island where Lapu-Lapu City is located and is connected to the island via two bridges: the Mactan-Mandaue Bridge and Marcelo Fernan Bridge . Mandaue is bounded on the north by the town of Consolacion , to the east by the Camotes Sea , and to the west and south by Cebu City . It is one of three highly urbanized cities on Cebu island and forms

8536-406: The run is ( x 2 − x 1 ) = Δ x . The slope between the two points is the difference ratio : Through trigonometry , the slope m of a line is related to its angle of inclination θ by the tangent function Thus, a 45° rising line has slope m = +1, and a 45° falling line has slope m = −1. Generalizing this, differential calculus defines the slope of a plane curve at a point as

8633-818: The second week of February. Pasigarbo sa Sugbo : It is a festival showcasing Cebu's culture, faith, history, products, and festivals from each individual town. It is held annually around August 6 which is the Charter day of the Province of Cebu. It was formerly held in Mandaue City at the Cebu International Convention Center (CICC), but was transferred to the Cebu City Sports Complex in Cebu City in 2019 due to

8730-765: The significant religious events of the Sinulog Festival which commemorates the union of the Holy Family. In the Translacion, the Santo Niño and the Virgin of Guadalupe come and stay over at the shrine of Saint Joseph in Mandaue for an overnight vigil. This happens on a Friday, and on the early morning of the following Saturday, a fluvial procession is held on Cebu Strait going back to the Basilica . In

8827-476: The sixth district and, since 2022, is represented under its lone district. The city has a total area of 34.87 km (13.46 sq mi). According to the 2020 census, the population density is 10,000/km (26,000/sq mi). The city is the 6th smallest government unit in terms of land area; among the Metro Cebu local government units the city is the second smallest next to the municipality of Cordova in

8924-455: The slope of its tangent line at that point. When the curve is approximated by a series of points, the slope of the curve may be approximated by the slope of the secant line between two nearby points. When the curve is given as the graph of an algebraic expression , calculus gives formulas for the slope at each point. Slope is thus one of the central ideas of calculus and its applications to design. There seems to be no clear answer as to why

9021-493: The southern form of Standard Cebuano. It is also spoken in some parts of Siquijor and parts of Northern Mindanao. Boholano, especially as spoken in central Bohol, can be distinguished from other Cebuano variants by a few phonetic changes : Southern Kanâ is a dialect of both southern Leyte and Southern Leyte provinces; it is closest to the Mindanao Cebuano dialect at the southern area and northern Cebu dialect at

9118-469: The stress is predictable, such as with numbers and pronouns). The Cebuano language is written using the Latin script and the de facto writing convention is based on the Filipino orthography . There is no updated spelling rule of the language as the letter "Ee" is often interchangeable with "Ii" and "Oo" with "Uu" . Though it was recorded that the language used a different writing system prior to

9215-519: The urban Cebu City dialect, which Kana speakers find "rough"). A distinguishing feature of this dialect is the reduction of /A/ prominent, but an often unnoticed feature of this dialect is the labialisation of /n/ and /ŋ/ into /m/ , when these phonemes come before /p/ , /b/ and /m/ , velarisation of /m/ and /n/ into /ŋ/ before /k/ , /ɡ/ and /ŋ/ , and the dentalisation of /ŋ/ and /m/ into /n/ before /t/ , /d/ and /n/ and sometimes, before vowels and other consonants as well. This

9312-435: Was a semi-autonomous functioning town. Semi-autonomous as it was still under the jurisdiction of Cebu. Despite having been developed and organized by the Spaniards throughout the ages and its population increasing as the years gone by, the Spaniards did not make an initiative to elevate the town into an independent municipality. It was only after the death of Presidente Ceniza and the establishment of American Rule in Mandaue that

9409-563: Was later expanded to five vowels with the introduction of Spanish. As a consequence, the vowels ⟨o⟩ or ⟨u⟩ , as well as ⟨e⟩ or ⟨i⟩ , are still mostly allophones . They can be freely switched with each other without losing their meaning ( free variation ); though it may sound strange to a native listener, depending on their dialect. The vowel ⟨a⟩ has no variations, though it can be pronounced subtly differently, as either /a/ or /ʌ/ (and very rarely as /ɔ/ immediately after

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