a finite sequence of well-defined, mathematical instructions for completing a specific task or solving a problem
アルゴリズム
a measure of the dispersion or spread of a set of data points in statistics, representing the average squared deviation from the mean
分散
the rate at which a function changes with respect to its independent variable
導関数, 微分
a mathematical concept representing the total accumulation of a quantity, often represented by the area under a curve on a graph
積分, 定積分
the value that a function or sequence approaches as its input or index gets close to a particular value
限界
a branch of mathematics that studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances
カタストロフ理論, 破局理論
(mathematics) a really small change in a function or variable
微分, 無限小変化
a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number
対数
a natural number greater than 1 that has no positive divisors other than 1 and itself
素数, 素
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
ベクトル, ベクトル
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
定理
(mathematics) a rearrangement of a set of elements in a specific order or sequence
順列, 配列
a special number used in linear algebra to describe how vectors change during transformations
固有値, 特性値
a branch of mathematics that deals with the study of sets, which are collections of distinct objects, and their properties, relationships, and operations
集合論, セット理論
a mathematical expression with variables raised to powers and combined using arithmetic operations
多項式, 多項式表現
a mathematical operation that calculates the accumulation of quantities, represented as the area under a curve on a graph
積分
a mathematical operation that combines two matrices to produce a new matrix, calculated by multiplying rows and columns
行列の乗算
an equation involving the square of a variable
二次方程式, 二乗方程式
