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Listahan ng mga Salita sa Antas C2 - Mathematics

Dito matututunan mo ang lahat ng mahahalagang salita para sa pagsasalita tungkol sa Matematika, na tinipon partikular para sa mga mag-aaral ng antas C2.

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CEFR C2 Vocabulary
algorithm
[Pangngalan]

a finite sequence of well-defined, mathematical instructions for completing a specific task or solving a problem

algoritmo

algoritmo

Ex: The Fast Fourier Transform ( FFT ) algorithm efficiently computes the discrete Fourier transform of a sequence or its inverse .Ang **algorithm** ng Mabilis na Fourier Transform (FFT) ay mahusay na nagkukwenta ng discrete Fourier transform ng isang sequence o ang kabaligtaran nito.
variance
[Pangngalan]

a measure of the dispersion or spread of a set of data points in statistics, representing the average squared deviation from the mean

pagkakaiba-iba

pagkakaiba-iba

Ex: Variance is an important concept in probability theory and is used in various statistical analyses, such as hypothesis testing and regression analysis.Ang **variance** ay isang mahalagang konsepto sa teorya ng probabilidad at ginagamit sa iba't ibang pagsusuri ng istatistika, tulad ng hypothesis testing at regression analysis.
derivative
[Pangngalan]

the rate at which a function changes with respect to its independent variable

deribatibo, pagkakaiba

deribatibo, pagkakaiba

Ex: The chain rule allows finding the derivative of composite functions, crucial for analyzing complex mathematical expressions.Ang chain rule ay nagbibigay-daan sa paghahanap ng **derivative** ng composite functions, mahalaga para sa pagsusuri ng mga kumplikadong mathematical expression.
integral
[Pangngalan]

a mathematical concept representing the total accumulation of a quantity, often represented by the area under a curve on a graph

integral, tiyak na integral

integral, tiyak na integral

Ex: The definite integral of a probability density function gives the probability of an event occurring within a specified range.Ang tiyak na **integral** ng isang probability density function ay nagbibigay ng posibilidad ng isang pangyayaring nagaganap sa loob ng isang tinukoy na saklaw.
limit
[Pangngalan]

the value that a function or sequence approaches as its input or index gets close to a particular value

hangganan

hangganan

Ex: Evaluating the limit of a difference quotient leads to the definition of a derivative in calculus .Ang pagtatasa ng **limit** ng isang difference quotient ay humahantong sa kahulugan ng isang derivative sa calculus.
catastrophe theory
[Pangngalan]

a branch of mathematics that studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances

teorya ng kalamidad, teorya ng sakuna

teorya ng kalamidad, teorya ng sakuna

Ex: Catastrophe theory has also been used to analyze the stability of ecosystems , the dynamics of animal behavior , and the onset of psychiatric disorders , providing insights into the underlying mechanisms driving these phenomena .Ang **teorya ng sakuna** ay ginamit din upang suriin ang katatagan ng mga ecosystem, ang dinamika ng pag-uugali ng hayop, at ang pagsisimula ng mga sakit sa pag-iisip, na nagbibigay ng mga pananaw sa mga pangunahing mekanismo na nagtutulak sa mga phenomena na ito.
differential
[Pangngalan]

(mathematics) a really small change in a function or variable

diferensyal, napakaliit na pagbabago

diferensyal, napakaliit na pagbabago

Ex: Differential equations describe relationships involving derivatives.Ang mga equation na **differential** ay naglalarawan ng mga relasyon na may kinasasangkutan ng derivatives.
logarithm
[Pangngalan]

a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number

logarithm

logarithm

Ex: Astronomers apply logarithms to express stellar magnitudes and measure the brightness of celestial objects .Ginagamit ng mga astronomo ang **logarithms** upang ipahayag ang stellar magnitudes at sukatin ang liwanag ng mga celestial na bagay.
prime
[Pangngalan]

a natural number greater than 1 that has no positive divisors other than 1 and itself

bilang na primo, primo

bilang na primo, primo

Ex: The number 7 is a prime, as it can only be divided by 1 and 7 .Ang numero 7 ay isang **prime number**, dahil maaari lamang itong hatiin ng 1 at 7.
vector
[Pangngalan]

an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering

vector, vector

vector, vector

Ex: The force exerted by a tensioned rope can be represented as a vector in mechanics .Ang puwersang ipinataw ng isang tensioned na lubid ay maaaring katawanin bilang isang **vector** sa mekanika.
theorem
[Pangngalan]

a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system

teorema

teorema

Ex: Students often encounter various theorems while studying advanced mathematics .Madalas na nakatagpo ang mga estudyante ng iba't ibang **teorema** habang nag-aaral ng advanced na matematika.
permutation
[Pangngalan]

(mathematics) a rearrangement of a set of elements in a specific order or sequence

permutasyon, ayos

permutasyon, ayos

Ex: Permutations are used to count different ways to arrange objects .Ang **permutations** ay ginagamit upang bilangin ang iba't ibang paraan upang ayusin ang mga bagay.
eigenvalue
[Pangngalan]

a special number used in linear algebra to describe how vectors change during transformations

halagang sarili, halagang katangian

halagang sarili, halagang katangian

Ex: The eigenvalues of a symmetric matrix are always real numbers .Ang mga **eigenvalue** ng isang simetriko na matrix ay palaging tunay na mga numero.
set theory
[Pangngalan]

a branch of mathematics that deals with the study of sets, which are collections of distinct objects, and their properties, relationships, and operations

teorya ng set, teorya ng pangkat

teorya ng set, teorya ng pangkat

Ex: Set theory forms the basis for defining functions and relations.Ang **teorya ng set** ang bumubuo ng batayan para sa pagtukoy ng mga function at relasyon.
polynomial
[Pangngalan]

a mathematical expression with variables raised to powers and combined using arithmetic operations

polynomial, ekspresyong polynomial

polynomial, ekspresyong polynomial

Ex: Simple expressions like 5x are considered polynomials.Ang mga simpleng ekspresyon tulad ng 5x ay itinuturing na **polynomial**.
integration
[Pangngalan]

a mathematical operation that calculates the accumulation of quantities, represented as the area under a curve on a graph

pagsasama

pagsasama

Ex: Physicists use integration to solve problems in mechanics .Ginagamit ng mga pisiko ang **integraysyon** upang malutas ang mga problema sa mekanika.

a mathematical operation that combines two matrices to produce a new matrix, calculated by multiplying rows and columns

pagpaparami ng matris

pagpaparami ng matris

Ex: In finance , matrix multiplication is used for portfolio optimization and risk analysis .Sa pananalapi, ang **matrix multiplication** ay ginagamit para sa portfolio optimization at risk analysis.
quadratic equation
[Pangngalan]

an equation involving the square of a variable

ekwasyong kwadratiko, ekwasyong pangalawang digri

ekwasyong kwadratiko, ekwasyong pangalawang digri

Ex: Factoring is a common method to solve quadratic equations when possible .Ang **factoring** ay isang karaniwang paraan upang malutas ang **quadratic equations** kung posible.
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