Examples of 'quadratic form' in a sentence
Meaning of "quadratic form"
A mathematical expression consisting of variables raised to the power of two, often used in algebra or optimization problems
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- A homogeneous polynomial of degree 2 in a given number of variables.
- A scalar quantity of the form εᵀΛε, where ε is a vector of n random variables, and Λ is an n-dimensional symmetric matrix.
How to use "quadratic form" in a sentence
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quadratic form
Now let us consider the quadratic form.
Is a quadratic form in the variables x and y.
Is called the associated quadratic form.
Any quadratic form may be represented as.
These compounds crystallize only in the quadratic form.
The characteristic of a quadratic form for an arbitrary field.
These compounds crystallize solely in the quadratic form.
Use the quadratic form.
A quadratic form in four variable is the equation of a projective surface.
Basically in the parameter fitting a quadratic form is minimized.
The quadratic form of boards and squares may be unchanged.
A nondegenerate dual conic section is analogously defined by a quadratic form.
The corresponding quadratic form is a multiple of the standard inner product.
Definition of definite quadratic form.
An indefinite quadratic form is one that takes on both positive and negative values.
See also
A null vector is a vector for which the quadratic form is zero.
Binary quadratic form.
Most instances of geometric algebras of interest have a nondegenerate quadratic form.
Integral quadratic form.
In this case the symplectic form reduces to a simple quadratic form.
A positive integral quadratic form taking all positive integers as values is called universal.
Signature of a quadratic form.
He used the term because the determinant determines the properties of the quadratic form.
Nondegenerate quadratic form.
The analysis also showed that the powders were present in a quadratic form.
This is exactly what Minkowski did for quadratic form with fractional coefficients.
And a linear transformation which does not change the quadratic form.
Able to Reduce the quadratic form to canonical form using orthogonal transformations.
The Hamiltonian can be rewritten in a quadratic form using bosonization.
Quadratic form Covariance matrix.
We will denote the Clifford algebra on Cn with the standard quadratic form by CℓnC.
The Arf invariant of this quadratic form is the Arf invariant of the knot.
A quadratic form is a homogeneous polynomial of degree 2.
Let Q be a real nondegenerate indefinite quadratic form in n variables.
If and, the quadratic form is positive definite.
The notion of a quadratic space is a coordinate-free version of the notion of quadratic form.
Since the quadratic form is a scalar, so is its expectation.
According to one exemplary embodiment, the valve membrane has a substantially quadratic form.
In practice, the quadratic form that is derived is truncated.
Many statistical problems are concerned with the minimisation of a quadratic form under quadratic / linear constraints.
Let q be a quadratic form defined on an n-dimensional real vector space.
This applies to the present problem of " diagonalizing " the quadratic form through the observation that.
In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables.
By definition of the Lorentz group, it preserves the quadratic form.
In mathematics, a binary quadratic form is a quadratic form in two variables.
For instance, it is possible to replace Euclidean distance by the value of a quadratic form.
In mathematics, a quadratic form is a polynomial with terms all of degree two.
The corresponding constructions involving an auxiliary quadratic form received the general name L-theory.
For this quadratic form to be positive semidefinite, we need and to hold.
The real vector space with this quadratic form is often denoted Rp, q.
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Examples of using Form
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The most powerful form of advocacy is demonstration
Information in the form of periodic communications or national
There is a specific form for each speciality
