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2019-06-26
更新時間:2024-04-15 13:52作者:小編
?一:吉洪諾夫乘積定理的是什么意思(中英文)解釋的意思
吉洪諾夫乘積定理,又稱為乘積公式,是數(shù)學(xué)中常用的一種方法,用來計算多項式的值。它可以將一個多項式分解成若干個一次項的乘積,并且可以根據(jù)多項式的系數(shù)和指數(shù)來確定這些一次項的值。這個定理由俄羅斯數(shù)學(xué)家亞歷山大·伊萬諾維奇·吉洪諾夫(Alexander Ivanovich Khinchin)在20世紀提出。
The Khinchin product theorem, also known as the product formula, is a commonly used method in mathematics for calculating the value of polynomials. It can decompose a polynomial into a product of linear terms and determine the values of these linear terms based on the coefficients and exponents of the polynomial. This theorem was proposed by Russian mathematician Alexander Ivanovich Khinchin in the 20th century.
吉洪諾夫乘積定理:[jí hóng nuò fú chéng jī dìng lǐ]
吉洪諾夫乘積定理主要用于計算多項式的值,可以簡化復(fù)雜的計算過程。它在代數(shù)、微積分等數(shù)學(xué)領(lǐng)域都有廣泛應(yīng)用,在物理學(xué)、工程學(xué)等各個領(lǐng)域也有重要的作用。
The Khinchin product theorem is mainly used to calculate the value of polynomials and can simplify complex calculations. It has wide applications in algebra, calculus, and other mathematical fields, as well as in various fields such as physics and engineering.
1. 根據(jù)吉洪諾夫乘積定理,我們可以輕松地計算出多項式的值。
According to the Khinchin product theorem, we can easily calculate the value of a polynomial.
2. 吉洪諾夫乘積定理在數(shù)學(xué)領(lǐng)域有著重要的地位。
The Khinchin product theorem holds an important position in the field of mathematics.
3. 這個多項式可以通過吉洪諾夫乘積定理分解為若干個一次項的乘積。
This polynomial can be decomposed into a product of linear terms using the Khinchin product theorem.
4. 吉洪諾夫乘積定理也被稱為乘積公式,是一種常用的計算方法。
The Khinchin product theorem is also known as the product formula and is a commonly used calculation method.
5. 吉洪諾夫乘積定理在物理學(xué)中也有著重要的應(yīng)用,可以幫助我們解決復(fù)雜的物理問題。
The Khinchin product theorem also has important applications in physics and can help us solve complex physical problems.
乘積公式(product formula)是吉洪諾夫乘積定理的另一種稱呼,它們在數(shù)學(xué)上有著相同的含義。此外,還有一些類似的定理如牛頓-萊布尼茨公式(Newton-Leibniz formula)和拉格朗日定理(Lagrange's theorem),它們也都是用來計算多項式的值。
The product formula is another name for the Khinchin product theorem, and they have the same meaning in mathematics. In addition, there are similar theorems such as the Newton-Leibniz formula and Lagrange's theorem, which are also used to calculate the value of polynomials.
吉洪諾夫乘積定理是數(shù)學(xué)中常用的一種方法,可以將多項式分解成一次項的乘積并計算其值。它在各個數(shù)學(xué)領(lǐng)域都有重要的應(yīng)用,并且可以幫助我們簡化復(fù)雜的計算過程。同時,與其他類似定理相比,吉洪諾夫乘積定理具有更廣泛的適用性和靈活性。因此,熟練掌握這個定理對于提高數(shù)學(xué)能力和解決實際問題都具有重要意義。