Wortschatz für IELTS Academic (Punktzahl 6-7) - Mathe und Graphen

Hier lernen Sie einige englische Wörter im Zusammenhang mit Mathematik und Graphen, die für die akademische IELTS-Prüfung notwendig sind.

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logarithm

[Nomen]

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

Logarithmus

Ex: Astronomers apply logarithms to express stellar magnitudes and measure the brightness of celestial objects .Astronomen wenden **Logarithmen** an, um Sternhelligkeiten auszudrücken und die Helligkeit von Himmelskörpern zu messen.

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theorem

[Nomen]

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

Ex: Students often encounter various theorems while studying advanced mathematics .Studenten begegnen oft verschiedenen **Theoremen**, wenn sie fortgeschrittene Mathematik studieren.

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vector

[Nomen]

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, Vektor

Ex: The force exerted by a tensioned rope can be represented as a vector in mechanics .Die von einem gespannten Seil ausgeübte Kraft kann in der Mechanik als **Vektor** dargestellt werden.

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function

[Nomen]

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

Funktion

Ex: Statisticians analyze data using functions such as mean , median , and standard deviation to understand distributions and trends .Statistiker analysieren Daten mit **Funktionen** wie Mittelwert, Median und Standardabweichung, um Verteilungen und Trends zu verstehen.

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[Nomen]

a mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159

Pi, Kreiszahl

Ex: The circumference of a semicircle is C = π * r , showcasing the presence of pi in geometric calculations .Der Umfang eines Halbkreises ist C = π * r, was die Anwesenheit von **Pi** in geometrischen Berechnungen zeigt.

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series

[Nomen]

a mathematical representation of the sum of the terms of a sequence, often denoted by the symbol Σ (sigma), where the terms are added together in a specified order

Reihe, Folge

Ex: The alternating series test is a criterion used to determine the convergence of series with alternating signs .Der Alternierende-**Reihen**-Test ist ein Kriterium, das verwendet wird, um die Konvergenz von Reihen mit alternierenden Vorzeichen zu bestimmen.

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trigonometry

[Nomen]

a branch of mathematics that deals with the relationships between the angles and sides of triangles

Trigonometrie, die Trigonometrie

Ex: Trigonometry plays a key role in fields such as physics , engineering , and computer science , where understanding angles and periodic functions is essential .Die **Trigonometrie** spielt eine Schlüsselrolle in Bereichen wie Physik, Ingenieurwesen und Informatik, wo das Verständnis von Winkeln und periodischen Funktionen essentiell ist.

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quotient

[Nomen]

the result obtained by dividing one quantity or number by another, expressed as the outcome of a division operation

Quotient

Ex: The quotient of 50 and 10 is 5 , reflecting the result of their division .Der **Quotient** von 50 und 10 ist 5, was das Ergebnis ihrer Division widerspiegelt.

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hypotenuse

[Nomen]

the longest side of a right-angled triangle, opposite the right angle, and defined as the side opposite the right angle in a right-angled triangle

Hypotenuse, die längste Seite eines rechtwinkligen Dreiecks

Ex: Trigonometric ratios like sine , cosine , and tangent involve the relationship between the sides of a right triangle , including the hypotenuse.Trigonometrische Verhältnisse wie Sinus, Kosinus und Tangens beinhalten die Beziehung zwischen den Seiten eines rechtwinkligen Dreiecks, einschließlich der **Hypotenuse**.

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interval

[Nomen]

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

Intervall, Abstand

Ex: An interval like [ 2 , 2 ] includes only the number 2 , as both endpoints are the same .Ein **Intervall** wie [2, 2] umfasst nur die Zahl 2, da beide Endpunkte gleich sind.

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grid

[Nomen]

a framework of spaced lines, horizontal and vertical, used as a reference for plotting points

Gitter, Raster

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median

[Nomen]

a statistical measure that represents the middle value of a data set when the values are arranged in ascending or descending order

Median, Mittelwert

Ex: For the series { 20 , 25 , 30 , 35 , 40 , 45 } , the median is 32.5 , calculated as the average of 30 and 35 .Für die Reihe {20, 25, 30, 35, 40, 45} ist der **Median** 32.5, berechnet als der Durchschnitt von 30 und 35.

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mode

[Nomen]

the value that appears most frequently in a data set

Modus, Modalwert

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infographic

[Nomen]

a visual representation of information or data, designed to convey complex information quickly and clearly

Infografik, visuelle Darstellung von Informationen

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distribution

[Nomen]

(statistics) the way statistical data are arranged that shows the frequency in which the values of a variable are repeated

Verteilung, Aufteilung

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mean

[Nomen]

(mathematics) the average value of a set of quantities calculated by adding them, and dividing them by the total number of the quantities

Durchschnitt

Ex: The mean of the test results was used to assess overall student achievement .Der **Durchschnitt** der Testergebnisse wurde verwendet, um die allgemeine Leistung der Schüler zu bewerten.

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cluster

[Nomen]

a grouping or concentration of data points in a specific region, often used in statistics and data analysis to describe a set of values that are close to each other

Gruppe, Cluster

Ex: Cluster sampling involves dividing a population into clusters and randomly selecting entire clusters for analysis .Die **Cluster**-Stichprobe beinhaltet die Aufteilung einer Population in Cluster und die zufällige Auswahl ganzer Cluster zur Analyse.

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histogram

[Nomen]

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

Histogramm

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sector

[Nomen]

a portion of a circle, defined by an arc and the two radii that connect the arc's endpoints to the circle's center

Sektor, Teil

Ex: The agricultural field was divided into sectors for planting different crops , each with its own irrigation system .Das landwirtschaftliche Feld wurde in **Sektoren** unterteilt, um verschiedene Kulturen anzupflanzen, jeder mit seinem eigenen Bewässerungssystem.

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ratio

[Nomen]

(mathematics) the result of the division of two mathematical expressions

Verhältnis

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Wortschatz für IELTS Academic (Punktzahl 6-7)

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Wortschatz für IELTS Academic (Punktzahl 6-7) - Mathe und Graphen