Mathematik und Logik SAT - Mathematics

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

der Schnittpunkt, der y-Achsenabschnitt

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

Ebene, flache Fläche

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

Funktion

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

modellieren

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

Konstante

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

algebraischer Ausdruck, mathematischer Ausdruck

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

äquivalent, gleichwertig

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

intersektionieren, kreuzen

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

Streudiagramm, Punktdiagramm

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

Regressionsgerade, Trendlinie

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

Variable

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

Skala, Grad

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

Abbildung, Diagramm

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

Definitionsbereich, Menge der Eingabewerte

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

Graph (m)

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

Histogramm

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

Intervall, Intervalle

a mathematical function that creates a straight line when graphed

lineare Funktion, Geradengleichung

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

rationale Funktion, Funktion

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

Koordinate

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

ganzzahliger Konstante, fester ganzzahliger Wert

an equation that makes a straight line when graphed

lineare Gleichung, Gleichung ersten Grades

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

entsprechen, entsprechend sein

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

Term, Glied

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

Achse

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

polynomiale Funktion, Polynom

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

erfüllen, begeistern

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

Koeffizient

an equation where the highest power of the variable is squared

quadratische Gleichung

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

Regressionsanalyse, Regression

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

bimodal, zweiäugig

having equal distances from two or more points

äquidistant

having points that lie on the same straight line

kollinear, auf einer Linie

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

Theorem

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

Periode, Intervall

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

bewerten, auswerten

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

erweiterte Notation, ausgeweitete Notation

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

wissenschaftliche Notation, Exponentialform

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

diagrammieren, darstellen

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

Matrix

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

Fakultät

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

Vektor

a two-dimensional system used to represent points in space

Standard-Koordinatenebene, kartesische Koordinatenebene

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

trigonometrische Funktion, trigonometrische Funktion (Mathematik)

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

erweiterte Matrix, augmentierte Matrix

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

Einheitsvektor, Vektor mit einem Betrag von Eins

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

Determinante