Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
how the word is used
frequency of use
it is used more often in oral or written speech
word translation options
usage examples (several phrases with translation)
etymology
Text translation using artificial intelligence
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Verb Conjugation with the Help of AI ChatGPT
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Give as much information as possible about the history of domestication of domestic cats. How did it happen that people began to domesticate cats in Spain? Which famous historical figures from the history of Spain are known as owners of domestic cats? The role of cats in modern Spanish society.
функции Ai (z) и Bi (z), являющиеся решениями дифференциального уравнения 2-го порядка
W" - zW = 0
(z - независимое переменное). Э. ф. от аргумента (-z) выражаются через Бесселя функции индекса ν = ± 1/3:
,
,
∣arg z∣ < 2π/3.
Асимптотические представления для больших ∣z∣:
,
∣arg z∣ ≤ 2π/3―δ,
,
∣arg z∣≤ π/3―δ.
Э. ф. играют важную роль в теории асимптотических представлений различных специальных функций; находят разнообразные применения в математической физике, например в теории дифракции радиоволн у земной поверхности. Рассмотрены Дж. Р. Эйри (J. R. Airey, 1911).
Лит.: Лебедев Н. Н., Специальные функции и их приложения, 2 изд., М.- JI., 1963.