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What is the general memory formula of Cauchy inequality?
The inner product is less than or equal to the product of modules, and the equal sign holds if and only if the two vectors are in the same direction.

Cauchy inequality was obtained when Cauchy, a great mathematician, studied the problem of "flow number" in mathematical analysis. But historically, this inequality should be called Cauchy-Bunyakovski-Schwartz inequality, because the latter two mathematicians independently extended it in integral calculus.

Only in this way can this inequality be applied to an almost perfect degree. Cauchy inequality is an inequality discovered by Cauchy during his research. It is widely used to solve the related problems of inequality proof, so it is very important in the promotion and research of advanced mathematics, and it is one of the research contents of advanced mathematics.

His knowledge of pure mathematics and applied mathematics is quite profound, and many mathematical theorems and formulas are named after him, such as Cauchy inequality and Cauchy integral formula. In mathematical writing, he is considered to be second only to Euler in number. He wrote 789 papers and several books in his life.

The most famous books are Analysis Course (182 1 year) and Theory Report of Definite Integral (1827). However, not all his creations are of high quality, so he was once criticized as "prolific and rash", which is contrary to the Prince of Mathematics (Gauss).

About the author:

Cauchy Augustine Louis (1789- 1857), a French mathematician, was born in Paris on August 2/838. His father, Louis Fran? ois Cauchy, was an official of the French Bourbon dynasty and had been holding public office in the turbulent political vortex of France. Due to family reasons, Cauchy himself belongs to the orthodox school that supports the Bourbon dynasty and is a devout Catholic.