# theorem

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Related to Theorems: Sylow theorems

## the·o·rem

(thē'ŏ-rem),
A proposition that can be tested, and can be established as a law or principle.

## the·o·rem

(thē'ŏ-rĕm)
A proposition that can be proved, and so is established as a law or principle.

## the·o·rem

(thē'ŏ-rĕm)
Proposition that can be tested then and can be established as a law or principle.
References in periodicals archive ?
We note that [mathematical expression not reproducible] is well-defined by Theorems 5 and 10.
We now have the following theorem from Theorems 5,10, 11, and 12.
Karapinar, Coupled fixed point theorems for nonlinear contractions in cone metric spaces, Comput.
Fujisawa, Variations of mixed Hodge structure and semipositivity theorems, Publ.
In this section, we present two examples of polynomials in order to compare our theorems with some of the above stated known theorems and show that for these polynomials our theorems give better bounds than those obtainable by these known theorems.
Here, we established some properties of the operators as consequences of Theorems 1 and 2.
It turns out that the existence of a linear continuous surjection T from [C.sub.p](Y) onto [C.sub.p](X) in Propositions 4 and 7 is also a sufficiently strong condition as the following easy corollary of Uspenskii's theorems [17] shows.
Theorem 12 implies the following two universality theorems for composite functions obtained in [12].
Theorem A.[17, Theorem 1.2] Let X be a paracompact free [Z.sub.p]-space of ind X [greater than or equal to] n, and f : X [right arrow] M a continuous mapping ofX into an m-dimensional connected manifold M (orientable ifp> 2).
There appeared also many generalizations of fixed point theorems for Kakutani maps.
The following two theorems can be proved using a scheme similar to that of the proof of Theorem 15 and with the aid of formula ([b.sub.4]), Theorem 7, and formula ([c.sub.4]), Theorem 8, respectively.
How does the process of summation x + y = z transform into the Pythagorean theorem? There are several ways this can be done.

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