ಬೀಜಗಣಿತವಾಗಿ,

algebraically's Usage Examples:

Relations to other constantsGauss's constant may be used to express the gamma function at argument"nbsp;:\Gamma\left( \tfrac{1}{4}\right) \sqrt{ 2G \sqrt{ 2\pi^3 } } Alternatively,G \frac{\left[\Gamma\left( \tfrac{1}{4}\right)\right]^2}{2\sqrt{ 2\pi^3}} and since and Γ() are algebraically independent, Gauss's constant is transcendental.

It is algebraically simpler, though in practice, less robust than the average absolute deviation.

Or to put it algebraically, given a prime number p n {\displaystyle p_{n}} , where n is its index.

constructible points, which can again be described either geometrically or algebraically.

algebraically, using amalgamation theorems for the variety of algebras representing the logic.

square of n to four times the (n - 1)th pronic number, or to put it algebraically, D n n 2 + 4 ( n 2 − n ) {\displaystyle D_{n}n^{2}+4(n^{2}-n)} .

A Weyl tensor that has type I (at some event) is called algebraically general; otherwise, it is called algebraically special (at that event).

The Bel criteria find application in general relativity where determining the Petrov type of algebraically special Weyl tensors is accomplished by searching for null vectors.

A subset S of L is a transcendence basis of L /K if it is algebraically independent over.

definition of constructible points, which can again be described either geometrically or algebraically.

The set of Puiseux series over an algebraically closed field of characteristic 0 is itself an algebraically closed field, called the field of Puiseux.

the roots in an algebraically closed extension) counted with their multiplicities.

Over an algebraically closed field, a toral subalgebra is automatically abelian.