Traducción y análisis de palabras por inteligencia artificial ChatGPT
En esta página puede obtener un análisis detallado de una palabra o frase, producido utilizando la mejor tecnología de inteligencia artificial hasta la fecha:
- cómo se usa la palabra
- frecuencia de uso
- se utiliza con más frecuencia en el habla oral o escrita
- opciones de traducción
- ejemplos de uso (varias frases con traducción)
- etimología
variation of altitude of the pole - traducción al ruso
![A polynomial of degree 9 has a pole of order 9 at ∞, here plotted by [[domain coloring]] of the Riemann sphere.](https://commons.wikimedia.org/wiki/Special:FilePath/Pole-order9-infin.png?width=200 "A polynomial of degree 9 has a pole of order 9 at ∞, here plotted by [[domain coloring]] of the Riemann sphere.")
математика
простой полюс
![Pole vaulter [[Allison Stokke]] prepares for her jump.](https://commons.wikimedia.org/wiki/Special:FilePath/Allison Stokke.jpg?width=200 "Pole vaulter [[Allison Stokke]] prepares for her jump.")
![Traditional [[fierljeppen]] in the Netherlands, using poles to clear "horizontal distances" over rivers](https://commons.wikimedia.org/wiki/Special:FilePath/Fierljeppen de natsprong.jpg?width=200 "Traditional [[fierljeppen]] in the Netherlands, using poles to clear \"horizontal distances\" over rivers")
![Pole vault in the 1890s at [[US Naval Academy]]](https://commons.wikimedia.org/wiki/Special:FilePath/Pole vaulting LOC det.4a15081.jpg?width=200 "Pole vault in the 1890s at [[US Naval Academy]]")
![Painting by former athlete [[Raffaello Ducceschi]] depicting the pole vault](https://commons.wikimedia.org/wiki/Special:FilePath/Salto con l Asta.jpg?width=200 "Painting by former athlete [[Raffaello Ducceschi]] depicting the pole vault")
Definición
Wikipedia
In mathematics, variation of parameters, also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential equations.
For first-order inhomogeneous linear differential equations it is usually possible to find solutions via integrating factors or undetermined coefficients with considerably less effort, although those methods leverage heuristics that involve guessing and do not work for all inhomogeneous linear differential equations.
Variation of parameters extends to linear partial differential equations as well, specifically to inhomogeneous problems for linear evolution equations like the heat equation, wave equation, and vibrating plate equation. In this setting, the method is more often known as Duhamel's principle, named after Jean-Marie Duhamel (1797–1872) who first applied the method to solve the inhomogeneous heat equation. Sometimes variation of parameters itself is called Duhamel's principle and vice versa.
