Examples of 'theorem holds' in a sentence
Meaning of "theorem holds"
theorem holds: Indicates that a mathematical or logical statement remains valid or true under certain conditions. It is often used in academic or scientific discussions to affirm the validity of a hypothesis or theory
How to use "theorem holds" in a sentence
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theorem holds
The theorem holds under general conditions.
Therefore it is not surprising that the theorem holds.
This theorem holds true for this.
Hence the assumption is false and the theorem holds.
Thus the theorem holds for all bipartite graphs.
Therefore the theorem holds.
The theorem holds regardless of whether biased or unbiased estimators are used.
The same technique applies to any class of graphs for which a similar separator theorem holds.
Note that the theorem holds trivially for separable states.
For quantum mechanical systems with discrete energy eigenstates, a similar theorem holds.
The isosceles triangle theorem holds in inner product spaces over the real or complex numbers.
As the arrivals are determined by a Poisson process, the arrival theorem holds.
A generalization of the spectral theorem holds for continuous normal operators in Hilbert spaces.
A Pappian projective space is a projective space in which Pappus 's hexagon theorem holds.
The famous spectral theorem holds for self-adjoint operators.
See also
The above argument was somewhat wasteful ; in fact the same theorem holds for H 4.
It shows that his theorem holds true for every right-angled triangle in the universe.
In light of the power series expansion, it is not surprising that Liouville 's theorem holds.
However, the Coase Theorem holds only if there are no transaction costs.
A Noetherian ring is Cohen-Macaulay if and only if the unmixedness theorem holds for it.
For pseudo-rings, the theorem holds for regular ideals.
In two-dimensional hyperbolic and spherical geometry, the theorem holds.
This deceptively simple theorem holds the key to arithmetic modulo m ( not prime )!
If the cobordism has dimension 4, then it is unknown whether the h-cobordism theorem holds.
The theorem holds trivially if P { \ displaystyle P } is empty.
Then the first case of Fermat 's Last Theorem holds true for pp.
In category theory, a Krull-Schmidt category is a generalization of categories in which the Krull-Schmidt theorem holds.
Then the first case of Fermat 's Last Theorem holds true for p . ”.
Therefore, if X is a metrizable space with a countable basis, one implication of Bing 's metrization theorem holds.
In other words, the version ( i ) of the Orlicz-Pettis theorem holds.
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Maragall holds out his hand to the pp
Just hope this old mineshaft holds up
I know she holds you in high regard
