数学と論理 SAT - Mathematics

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

(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

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

交差する, 重なる

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

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

(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 diagram or illustration that is used to show or explain something, such as a chart, graph, or drawing

図, ダイアグラム

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

ヒストグラム

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

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

座標, 座標点

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

an equation that makes a straight line when graphed

線形方程式, 一次方程式

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 or involving two distinct modes, peaks, or most frequent values

二峰性の, 二項の

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

to represent or illustrate something using a drawing, chart, or schematic

図示する, 描く

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

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

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