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In number theory, it has been used beginning with Carl Friedrich Gauss (who first used it with this meaning in 1801) to mean modular congruence: () if N divides a − b. [ 10 ] [ 11 ] In category theory , triple bars may be used to connect objects in a commutative diagram , indicating that they are actually the same object rather than being ...
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...
However, the equality of two real numbers given by an expression is known to be undecidable (specifically, real numbers defined by expressions involving the integers, the basic arithmetic operations, the logarithm and the exponential function). In other words, there cannot exist any algorithm for deciding such an equality (see Richardson's theorem
Hilbert's original question was more complicated: given any two tetrahedra T 1 and T 2 with equal base area and equal height (and therefore equal volume), is it always possible to find a finite number of tetrahedra, so that when these tetrahedra are glued in some way to T 1 and also glued to T 2, the resulting polyhedra are scissors-congruent?
A possibly unique case of the equal sign of European usage in a person's name, specifically in a double-barreled name, was by pioneer aviator Alberto Santos-Dumont, as he is also known not only to have often used a double hyphen ⹀ resembling an equal sign = between his two surnames in place of a hyphen, but also seems to have personally ...
While you can open a high-yield account paying out more than 10 times the 0.42% national average right now, you’ll want to strike a balance between saving and not missing out on other investment ...
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A number is non-negative if it is greater than or equal to zero. A number is non-positive if it is less than or equal to zero. When 0 is said to be both positive and negative, [citation needed] modified phrases are used to refer to the sign of a number: A number is strictly positive if it is greater than zero.