ACT 数学と評価 - 数学

(mathematics) a quantity whose value changes according to another quantity's varying value

関数

to make a representation of something, especially one based on mathematics

モデル化する, 表現する

a quantity or value that remains the same and does not change in a specific mathematical context

定数

a combination of numbers, variables, operations, and grouping symbols that collectively represent a numerical value or relationship

代数的表現, 数学的表現

(of mathematical expressions or quantities) having the same value or function, even if they appear in different forms

等価の, 等しい

(mathematics) a quantity that is capable of assuming different values in a calculation

変数, 未知数

a system of numerical values used to quantify and compare levels, degrees, or values

スケール, 規模

a symbol that represents any number between 0 and 9

数字, 数値

the set of all possible input values for which a given function is defined

定義域, 入力値の集合

(mathematics) a set of points whose coordinates are in agreement with one another

グラフ, 図

a graphic design intended to explain something

図, ダイアグラム

a diagram consisting of bars with different heights that represent the amount of a variable

ヒストグラム

a type of graph used in statistics and data analysis to display and compare two sets of numerical data

散布図, スキャッタープロット

the point where a line, curve, or surface crosses an axis on a graph

切片点, インターセプト

a flat, two-dimensional surface that extends infinitely in all directions

平面, 面

any set of numbers that represent an exact position on a map or graph

座標, 座標点

a straight line drawn through the center of a group of data points on a scatter plot representing the best approximation of the relationship between the variables being studied

最適線, トレンドライン

to meet or cross another path, line, etc. at a particular point

交差する, 重なる

a set of real numbers that includes all the numbers between any two specified numbers within the set

インターバル, インターバルの範囲

a mathematical function that creates a straight line when graphed

線形関数, 線形ファンクション

a function that can be expressed as the ratio of two polynomials, where the denominator is not zero

有理関数, 二つの多項式の比として表せる関数

a fixed numerical value that is a whole number, either positive, negative, or zero

整数定数, 固定された整数値

not following a straight or predictable line, sequence, or pattern

非線形, 非直線的

to have a direct relationship or alignment with something else, such as paired values or elements

一致する, 対応する

a single number, variable, or the product of numbers and variables in an expression or equation, separated by addition or subtraction operators

項, 術語

a reference line used in coordinate systems to provide a framework for locating points

軸

a mathematical function that can be expressed as a sum of terms, where each term is a constant multiplied by a variable raised to a non-negative integer power

多項式関数, 多項式

to fulfill the conditions or requirements of a mathematical statement, equation, or inequality

満たす, 条件を満たす

a numerical or constant factor that multiplies a variable in an algebraic term

係数

an equation where the highest power of the variable is squared

二次方程式

a statistical method used to model and analyze the relationship between a dependent variable and one or more independent variables

回帰, 回帰分析

having equal distances from two or more points

等距

having points that lie on the same straight line

共線の, 同一直線上の

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

a recurring interval or length associated with a mathematical function or pattern

周期, インターバル

to find the numerical value of an expression, equation, or function by substituting specific values for the variables

評価する, 算出する

a way of representing numbers as the sum of each digit multiplied by its place value

拡張表記, 展開表記

a method of writing numbers as the product of a coefficient and a power of 10

科学的表記法, 指数表記法

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

行列

a single number calculated from the elements of a square matrix that indicates important properties, like whether the matrix can be inverted

行列式

the product of all positive whole numbers from 1 to a given number

階乗

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

a two-dimensional system used to represent points in space

標準座標平面, デカルト座標平面

a mathematical function that relates the angles of a triangle to the lengths of its sides, commonly including sine, cosine, and tangent

三角関数, 三角関数 (数学)

a way of representing a system of linear equations in matrix form

拡張行列, 増強行列

a vector that has a magnitude of 1 and represents direction without regard to scale

単位ベクトル, ノルム1のベクトル