Examples of 'quadratic forms' in a sentence
Meaning of "quadratic forms"
Quadratic forms are mathematical expressions or equations that involve variables raised to the power of two. They are commonly used in algebra and calculus to model and solve problems related to quadratic functions, conic sections, and optimization
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- plural of quadratic form
How to use "quadratic forms" in a sentence
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quadratic forms
Quadratic forms are homogeneous quadratic polynomials in n variables.
An introduction to the algebraic theory of quadratic forms.
Quadratic forms have the most important applications.
Studies of the arithmetical properties of quadratic forms.
He used this theory of equivalent quadratic forms to prove whole number theory results.
Our proof is based on combinatorial arguments involving quadratic forms.
His main publications were on quadratic forms and algebraic groups.
Approximation to algebraic numbers by means of periodic sequences of transformations on quadratic forms.
Examples of quadratic forms.
Early work analytic number theory and reduction theory of quadratic forms.
To attack successfully the theory of quadratic forms with any number of variables and.
The trace also plays a central role in the distribution of quadratic forms.
The connection between Clifford algebras and quadratic forms come from the distinctive contraction property.
The first of these is the class number formulae for binary quadratic forms.
Quadratic forms over fields of characteristic 2.
See also
On the set of binary quadratic forms.
Ternary quadratic forms and sums of three square-full numbers.
Representations of primes by quadratic forms.
Quadratic forms correspond one-to-one to symmetric bilinear forms over the same space.
Composition of binary quadratic forms.
Finally, quantities such as quadratic forms naturally require a multiply indexed array for their representation.
There exists a set of six mutually apolar linearly independent nondegenerate ternary quadratic forms.
Added composition of two indefinite binary quadratic forms of the same discriminant.
His dissertation dealt with Quantum mechanics for Hamiltonians defined as quadratic forms.
The estimate found has the property of being the quadratic forms minimizing the sampling variance.
In what follows, quadratic forms are considered over a field F of characteristic not 2.
To Gauss is also due the representation of numbers by binary quadratic forms.
Quadratic forms and Clifford algebras in characteristic 2 form an exceptional case.
Uncertainty principles associated to non-degenerate quadratic forms.
The principal axis theorem concerns quadratic forms in Rn, which are homogeneous polynomials of degree 2.
Lagrange 's Recherches d'Arithmétique develops a general theory of binary quadratic forms.
In quadratic forms, the Hurwitz problem asks for multiplicative identities between quadratic forms.
Abstract, Siegel determined a fundamental domain using the Minkowski reduction of quadratic forms.
A book treatment of the topic of quadratic forms in random variables is [ 2 ].
He also investigated, and wrote a book on, the theory of quadratic forms.
Firstly, there are non-isomorphic quadratic forms of a given degree, classified by signature.
Lagrange gave a proof in 1775 that was based on his study of quadratic forms.
On quadratic forms Chapter 5.
Santos, d . f . elements of the algebraic theory of quadratic forms and its graded rings.
The linear transformations T1, T2, and T3 have a geometric interpretation in the language of quadratic forms.
Category, Quadratic forms.
Arf used his invariant, among others, in his endeavor to classify quadratic forms in characteristic 2.
Is a smooth section of positive-definite quadratic forms on H { \ displaystyle H }.
In 1986, Margulis gave a complete resolution of the Oppenheim conjecture on quadratic forms and diophantine approximation.
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