Sentence examples for mathematical statement for from inspiring English sources

The theorem states that every Goodstein sequence eventually terminates at 0. Goodstein's theorem is certainly a natural mathematical statement, for it was formulated and proved (obviously by proof methods that go beyond PA) by Goodstein long before (that is, in 1944) it was shown, in 1982, that the theorem is not provable in PA (Kirby & Paris 1982).

Considering that ( frac{partial mathrm{y}}{partial s}= sin varTheta, ) the mathematical statement for this stage could be rewritten in the second-order differential form for the variable Θ(s) with boundary conditions: Big{begin{array}{l}frac{partial^2varTheta }{partial {s}^2}=-frac{P}{E_1I} sin varTheta frac{partial varTheta }{partial s}Big|_{s=0}=0 varTheta Big|_{s=l/2}=0end{array}. (8).

First, the theoretical preliminaries necessary for the mathematical statement of the problem are defined.

A place for which "decimated" isn't hyperbole but a mathematical statement of fact, Stockton, with its population of around 300,000, recorded nearly one foreclosure for every 10 houses in 2008.

This paper's theory for quantifying infiltration relies on the mathematical statement of the coupled partial differential equations (pdes) governing infiltration and runoff.

In the section 'Mathematical statement of problem,' we introduce the application of the proposed method.

The mathematical statement of the single-objective problem is as follows.

Consider a sequence (an) of real numbers, by which is meant an infinite lista0, a1, a2, ….It is said that an converges to (or approaches) the limit a as n tends to infinity, if the following mathematical statement holds true: For every ε > 0, there exists a whole number N such that |an − a| < ε for all n > N.

For even if there are mathematical objects, referential and quantificational indeterminacy may deprive mathematical statements of a unique and objective truth-value.

which are mathematical statements of the transmission of information between the elements in RTK signaling.

In fact, Gödel himself, in his completeness theorem, had shown that for a mathematical statement to be provable it is necessary and sufficient that it be true in every model.