Examples of 'non-degenerate' in a sentence
Meaning of "non-degenerate"
Non-degenerate is an adjective used in mathematics and physics to describe a system or object that does not exhibit degeneracy, which refers to a situation where multiple distinct states have the same energy level. Non-degenerate systems are often easier to analyze and predict than degenerate systems
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How to use "non-degenerate" in a sentence
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non-degenerate
Every non-degenerate triangle has such a point.
Particular attention will be paid to non-degenerate singularities.
All the non-degenerate limit functions are candidates to be multifractal.
Uncertainty principles associated to non-degenerate quadratic forms.
Any non-degenerate affine transformation takes a parallelogram to another parallelogram.
The photon pairs may be degenerate or non-degenerate.
The use of non-degenerate primers and probes has several advantages.
It is therefore greater than that of the non-degenerate stage.
In the heaviest non-degenerate stars, radiation pressure is the dominant pressure component.
It is usual to assume that the zeroth-order state to be perturbed is non-degenerate.
Then he system shows strong similarities with a non-degenerate optical parametric oscillator.
They are the only non-degenerate objects having simultaneously minimal flatness and thinness.
So you could rotate them out and actually form a non-degenerate triangle.
In a specific embodiment, the two non-degenerate primers only differ in a single nucleotide position.
One example having a simple mathematical expression of such a curve is a part of a non-degenerate conic.
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This is the only non-degenerate uniform polyhedron with more than six faces meeting at a vertex.
Then the lines connecting corresponding points form a dual non-degenerate projective conic section.
The non-degenerate assumption is equivalent to p + q n.
These products showed at least two reproducible patterns of nucleotide heterogeneity within the non-degenerate core.
In the complex projective plane the non-degenerate conics can not be distinguished from one another.
The function f is said to be a Morse function if all its critical points are non-degenerate.
As a corollary of the Morse lemma, one sees that non-degenerate critical points are isolated.
Non-degenerate critical point.
Parallelepipeds result from linear transformations of a cube for the non-degenerate cases, the bijective linear transformations.
Is a non-degenerate bilinear form.
Matrix Γ is also assumed to be non-degenerate.
An eigenvalue is said to be non-degenerate if its eigenspace is one-dimensional.
In other words, any positive solution is non-degenerate.
Which is non-degenerate.
In this part, we study two cases of diffusions, degenerate and non-degenerate.
Alternatively, one non-degenerate reverse primer and at least one non-degenerate forward primer are used.
Only the ground state is non-degenerate.
They are non-degenerate linear spaces satisfying Playfair 's axiom.
This form is always non-degenerate.
Non-degenerate conic sections are always "smooth".
In a specific embodiment, the probe has a non-degenerate nucleic acid sequence.
The non-discriminating primers can be universal or non-universal, degenerate or non-degenerate.
Stars initially more massive than 2 M ☉ have non-degenerate helium cores on the red-giant branch.
For example, right triangles, isosceles triangles and equilateral triangles are non-generic and non-degenerate.
A symplectic form on a manifold M is a closed non-degenerate differential 2-form ω.
A non-degenerate (S-state) atom can have only a zero permanent dipole.
Why was the Fire Nation the only non-degenerate country?
Here, non-degenerate means that for all, if there exists an such that for all, then.
Then the conic section is non-degenerate if and only if β ≠ 0.
Let ( V, b ) be an n-dimensional, non-degenerate symmetric bilinear space over a field with characteristic not equal to 2.
We apply in particular the method to Newton non-degenerate singularities defined on $3$-dimensional toric germs.
General Cartesian equation,, non-degenerate ( or possibly empty ) if the associated homogeneous form is non-degenerate.
