pattern

C2 Ordlista - Matematik

Här kommer du att lära dig alla de väsentliga orden för att prata om matematik, samlade specifikt för C2-nivå elever.

Recension

Flashcards

Stavning

Quiz

Starta lärandet
CEFR C2 Vocabulary
algorithm
algorithm
[Substantiv]

a finite sequence of well-defined, mathematical instructions for completing a specific task or solving a problem

algoritm

algoritm

Ex: The Dijkstra's algorithm is used to find the shortest path between nodes in a graph. 

Dijkstras algoritm används för att hitta den kortaste vägen mellan noder i en graf.

Stäng
Logga in
variance
variance
[Substantiv]

a measure of the dispersion or spread of a set of data points in statistics, representing the average squared deviation from the mean

varians

varians

Ex: The variance formula involves summing the squared differences between each data point and the mean, divided by the number of data points. 

Formeln för varians innebär att summera de kvadrerade skillnaderna mellan varje datapunkt och medelvärdet, dividerat med antalet datapunkter.

Stäng
Logga in
derivative
derivative
[Substantiv]

the rate at which a function changes with respect to its independent variable

derivata, derivering

derivata, derivering

Ex: In economics, the elasticity of a demand function is determined by finding the derivative with respect to price. 

Inom ekonomi bestäms elasticiteten hos en efterfrågefunktion genom att hitta derivatan med avseende på priset.

Stäng
Logga in
integral
integral
[Substantiv]

a mathematical quantity obtained by integration, representing accumulation such as the area under a curve

integral

integral

Ex: This integral has no simple elementary solution. 
Stäng
Logga in
limit
limit
[Substantiv]

the value that a function or sequence approaches as its input or index gets close to a particular value

gräns

gräns

Ex: In calculus, a limit describes the value that a function approaches. 
Stäng
Logga in
catastrophe theory
catastrophe theory
[Substantiv]

a branch of mathematics that studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances

katastrofteori, teori om katastrofer

katastrofteori, teori om katastrofer

Ex: One of the most famous applications of catastrophe theory is in modeling the behavior of a potential energy surface and predicting phase transitions in physical and chemical systems. 

En av de mest kända tillämpningarna av katastrofteorin är att modellera beteendet hos en potentiell energiyta och förutsäga fasövergångar i fysiska och kemiska system.

Stäng
Logga in
differential
differential
[Substantiv]

(mathematics) a really small change in a function or variable

differential, oändligt liten förändring

differential, oändligt liten förändring

Ex: Differential calculus helps analyze the behavior of functions at specific points. 
Stäng
Logga in
logarithm
logarithm
[Substantiv]

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

logaritm

logaritm

Ex: Calculating the logarithm is an essential step in determining the pH level in chemistry. 

Att beräkna logaritmen är ett viktigt steg för att bestämma pH-nivån i kemi.

Stäng
Logga in
prime
prime
[Substantiv]

a natural number greater than 1 that has no positive divisors other than 1 and itself

primtal, prim

primtal, prim

Ex: The number 7 is a prime, as it can only be divided by 1 and 7. 
Stäng
Logga in
vector
vector
[Substantiv]

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

vektor, vektor

Ex: Wind velocity is a vector quantity, accounting for both the speed and direction of the wind. 

Vindhastighet är en vektorstorhet, som tar hänsyn till både vindens hastighet och riktning.

Stäng
Logga in
theorem
theorem
[Substantiv]

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

teorem

teorem

Ex: A theorem typically requires a rigorous proof to be considered valid. 

Ett teorem kräver vanligtvis ett rigoröst bevis för att anses giltigt.

Stäng
Logga in
permutation
permutation
[Substantiv]

(mathematics) a rearrangement of a set of elements in a specific order or sequence

permutation, arrangemang

permutation, arrangemang

Ex: A permutation of the letters ABC could be BAC or CAB. 

En permutation av bokstäverna ABC kan vara BAC eller CAB.

Stäng
Logga in
eigenvalue
eigenvalue
[Substantiv]

a special number used in linear algebra to describe how vectors change during transformations

egenvärde, karakteristiskt värde

egenvärde, karakteristiskt värde

Ex: Eigenvalues reveal growth rates in population models. 

Egenvärden avslöjar tillväxthastigheter i befolkningsmodeller.

Stäng
Logga in
set theory
set theory
[Substantiv]

a branch of mathematics that deals with the study of sets, which are collections of distinct objects, and their properties, relationships, and operations

mängdlära, setteori

mängdlära, setteori

Ex: The empty set, denoted by {}, is a fundamental concept in set theory. 

Den tomma mängden, betecknad {}, är ett grundläggande begrepp inom mängdlära.

Stäng
Logga in
polynomial
polynomial
[Substantiv]

a mathematical expression with variables raised to powers and combined using arithmetic operations

polynom, polynomiskt uttryck

polynom, polynomiskt uttryck

Ex: Polynomial equations often have multiple solutions. 

Polynomiska ekvationer har ofta flera lösningar.

Stäng
Logga in
integration
integration
[Substantiv]

the mathematical process of finding the integral of a function or quantity

integrering

integrering

Ex: She used integration to determine the volume of the solid. 
Stäng
Logga in
matrix multiplication

a mathematical operation that combines two matrices to produce a new matrix, calculated by multiplying rows and columns

matrismultiplikation

matrismultiplikation

Ex: Understanding matrix multiplication is crucial for solving complex mathematical problems in various disciplines. 

Att förstå matrismultiplikation är avgörande för att lösa komplexa matematiska problem inom olika discipliner.

Stäng
Logga in
quadratic equation
quadratic equation
[Substantiv]

an equation involving the square of a variable

kvadratisk ekvation, andragradsekvation

kvadratisk ekvation, andragradsekvation

Ex: Quadratic equations often have two solutions, called roots. 

Kvadratiska ekvationer har ofta två lösningar, kallade rötter.

Stäng
Logga in
LanGeek
Ladda ner LanGeek app