Elenco di Parole Livello C2 - Mathematics

Qui imparerai tutte le parole essenziali per parlare di Matematica, raccolte appositamente per gli studenti di livello C2.

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algorithm

[sostantivo]

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

algoritmo, algoritmo matematico

Ex: The Fast Fourier Transform ( FFTalgorithm efficiently computes the discrete Fourier transform of a sequence or its inverse .

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variance

[sostantivo]

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

varianza, dispersione

Ex: Variance is an important concept in probability theory and is used in various statistical analyses, such as hypothesis testing and regression analysis.

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derivative

[sostantivo]

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

derivata, derivato

Ex: The chain rule allows finding the derivative of composite functions, crucial for analyzing complex mathematical expressions.

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integral

[sostantivo]

a mathematical concept representing the total accumulation of a quantity, often represented by the area under a curve on a graph

integrale, integrale definito

Ex: The definite integral of a probability density function gives the probability of an event occurring within a specified range.

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limit

[sostantivo]

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

limite, limite di una funzione

Ex: Evaluating limit of a difference quotient leads to the definition of a derivative in calculus .

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catastrophe theory

[sostantivo]

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

teoria delle catastrofi, teoria delle catastrofi matematiche

Ex: Catastrophe theory has also been used to analyze the stability of ecosystems , the dynamics of animal behavior , and the onset of psychiatric disorders , providing insights into the underlying mechanisms driving these phenomena .

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differential

[sostantivo]

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

differenziale, incremento

Ex: Differential equations describe relationships involving derivatives.

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logarithm

[sostantivo]

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

logaritmi

Ex: Astronomers apply logarithms to express stellar magnitudes and measure the brightness of celestial objects.

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prime

[sostantivo]

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

numero primo, primo

Ex: The number 7 is prime, as it can only be divided by 1 and 7 .

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vector

[sostantivo]

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

vettore, risultante

Ex: The force exerted by a tensioned rope can be represented as vector in mechanics .

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theorem

[sostantivo]

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

teorema, teorema matematico

Ex: Students often encounter theorems while studying advanced mathematics .

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permutation

[sostantivo]

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

permutazione, disposizione

Ex: Permutations are used to count different ways to arrange objects .

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eigenvalue

[sostantivo]

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

valore proprio, autovalore

Ex: eigenvalues of a symmetric matrix are always real numbers .

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set theory

[sostantivo]

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

teoria degli insiemi, teoria dei set

Ex: Set theory forms the basis for defining functions and relations.

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polynomial

[sostantivo]

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

polinomio, espressione polinomiale

Ex: Simple expressions like 5x are polynomials.

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integration