irreducible background

irreducible

/ˌɪɹɪˈdjuːsɪbəl/

Illustration irreducible - Image 1

noun

Un polinomio irreducible

Such a polynomial

Examples :

"In her algebra class, Maria learned that an irreducible is a polynomial that cannot be factored into simpler polynomials over a specified field, like the real numbers. "

En su clase de álgebra, María aprendió que un polinomio irreducible es un polinomio que no se puede factorizar en polinomios más simples sobre un campo especificado, como los números reales.

Illustration irreducible - Image 1

adjective

Irreducible, que no se puede reducir

Not able to be reduced or lessened.

Examples :

"The doctor said the swelling was caused by an irreducible fracture, meaning they couldn't fix it without surgery. "

El médico dijo que la hinchazón fue causada por una fractura irreducible, lo que significaba que no podían arreglarla sin cirugía.

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Illustration irreducible - Image 1

adjective

Irreducible

Not able to be brought to a simpler or reduced form.

Examples :

"The conflict between them had reached an irreducible point; they simply couldn't agree on anything anymore. "

El conflicto entre ellos había llegado a un punto irreducible; simplemente ya no podían ponerse de acuerdo en nada.

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Illustration irreducible - Image 1

adjective

Irreducible

(of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1).

Examples :

"In algebra class, the teacher explained that the polynomial x² + 4 is irreducible over real numbers because it cannot be broken down into simpler polynomial factors with real number coefficients. "

En la clase de álgebra, el profesor explicó que el polinomio x² + 4 es irreducible sobre los números reales porque no se puede descomponer en factores polinómicos más simples con coeficientes de números reales.

Illustration irreducible - Image 1

adjective

Irreducible

(of a fraction) Whose numerator and denominator share no common factor greater than 1.

Examples :

"The fraction 3/5 is irreducible because 3 and 5 have no common factors other than 1. "

La fracción 3/5 es irreducible porque 3 y 5 no tienen factores comunes distintos de 1.

Illustration irreducible - Image 1

adjective

Irreducible, primo

(of an integer) Unable to be factored into smaller integers; prime.

Examples :

"The number 7 is irreducible because it can only be divided evenly by 1 and itself. "

El número 7 es primo porque solo se puede dividir uniformemente por 1 y por sí mismo.

Illustration irreducible - Image 1

adjective

Irreducible

(of an element of a ring) that its only divisors are units and associates.

Examples :

"In the world of number theory, the number 7 is considered irreducible because its only factors are 1, -1, 7, and -7 (which are either units or associates of 7). "

En el mundo de la teoría de números, el número 7 se considera irreducible porque sus únicos factores son 1, -1, 7 y -7 (que son unidades o asociados de 7).

Illustration irreducible - Image 1

adjective

irreducible

(of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.

Examples :

"Because it cannot be simplified further without losing its essential characteristics, the geometric object was described by the mathematician as irreducible. "

Debido a que no se puede simplificar más sin perder sus características esenciales, el objeto geométrico fue descrito por el matemático como irreducible.

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Illustration irreducible - Image 1

adjective

Irreducible

(of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.

Examples :

"The complex concept of teamwork, while appearing multifaceted, can be broken down to the irreducible element of individual accountability. "

El complejo concepto de trabajo en equipo, aunque parece multifacético, puede reducirse al elemento irreducible de la responsabilidad individual.

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