Перевод и анализ слов искусственным интеллектом ChatGPT
На этой странице Вы можете получить подробный анализ слова или словосочетания, произведенный с помощью лучшей на сегодняшний день технологии искусственного интеллекта:
- как употребляется слово
- частота употребления
- используется оно чаще в устной или письменной речи
- варианты перевода слова
- примеры употребления (несколько фраз с переводом)
- этимология
Что (кто) такое numerical techniques - определение
![Antique method to find the [[Geometric mean]]](https://commons.wikimedia.org/wiki/Special:FilePath/Geometric mean.svg?width=200 "Antique method to find the [[Geometric mean]]")
![Field of [[cumulus cloud]]s, which are parameterized since they are too small to be explicitly included within numerical weather prediction](https://commons.wikimedia.org/wiki/Special:FilePath/GoldenMedows.jpg?width=200 "Field of [[cumulus cloud]]s, which are parameterized since they are too small to be explicitly included within numerical weather prediction")
![alt=A [[WP-3D Orion]] weather reconnaissance aircraft in flight.](https://commons.wikimedia.org/wiki/Special:FilePath/Lockheed WP-3D Orion.jpg?width=200 "alt=A [[WP-3D Orion]] weather reconnaissance aircraft in flight.")
.svg?width=200 "A simple wildfire propagation model")
![Frances Bilas]]](https://commons.wikimedia.org/wiki/Special:FilePath/Two women operating ENIAC.gif?width=200 "Frances Bilas]]")
![''[[A. tumefaciens]]'' attaching itself to a carrot cell](https://commons.wikimedia.org/wiki/Special:FilePath/Agrobacterium-tumefaciens.png?width=200 "''[[A. tumefaciens]]'' attaching itself to a carrot cell")
![A gene gun uses [[biolistics]] to insert DNA into plant tissue](https://commons.wikimedia.org/wiki/Special:FilePath/Genegun.jpg?width=200 "A gene gun uses [[biolistics]] to insert DNA into plant tissue")
Википедия
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living cells in medicine and biology.
Before modern computers, numerical methods often relied on hand interpolation formulas, using data from large printed tables. Since the mid 20th century, computers calculate the required functions instead, but many of the same formulas continue to be used in software algorithms.
The numerical point of view goes back to the earliest mathematical writings. A tablet from the Yale Babylonian Collection (YBC 7289), gives a sexagesimal numerical approximation of the square root of 2, the length of the diagonal in a unit square.
Numerical analysis continues this long tradition: rather than giving exact symbolic answers translated into digits and applicable only to real-world measurements, approximate solutions within specified error bounds are used.
