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In mathematics, an operator or transform is a function from one space of functions to another. Operators occur commonly in engineering, physics and mathematics. Many are integral operators and differential operators.
A prime sieve or prime number sieve is a fast type of algorithm for finding primes. There are many prime sieves. The simple sieve of Eratosthenes (250s BCE), the sieve of Sundaram (1934), the still faster but more complicated sieve of Atkin [1] (2003), and various wheel sieves [2] are most common.
Fox (code word) Fox is a brevity code used by NATO pilots to signal the simulated or actual release of an air-to-air munition or other combat function. Army aviation elements may use a different nomenclature, as the nature of helicopter -fired weapons is almost always air-to-surface. "Fox" is short for "foxtrot", the NATO phonetic designation ...
A proof by double counting. A combinatorial identity is proven by counting the number of elements of some carefully chosen set in two different ways to obtain the different expressions in the identity. Since those expressions count the same objects, they must be equal to each other and thus the identity is established. A bijective proof.
The Jordan–Wigner transformation is often used to exactly solve 1D spin-chains such as the Ising and XY models by transforming the spin operators to fermionic operators and then diagonalizing in the fermionic basis. This transformation actually shows that the distinction between spin-1/2 particles and fermions is nonexistent.
List of decades, centuries, and millennia. The list below includes links to articles with further details for each decade, century, and millennium from 15,000 BC to AD 3000. Century. Decades. 15th millennium BC · 15,000–14,001 BC. 14th millennium BC · 14,000–13,001 BC. 13th millennium BC · 13,000–12,001 BC. 12th millennium BC · 12,000 ...
Unlike the conduction equation (a finite element solution is used), a numerical solution for the convection–diffusion equation has to deal with the convection part of the governing equation in addition to diffusion. When the Péclet number (Pe) exceeds a critical value, the spurious oscillations result in space and this problem is not unique ...
That is, its leading digit (i.e., leftmost) is not zero and is followed by the decimal point. Simply speaking, a number is normalized when it is written in the form of a × 10 n where 1 ≤ |a| < 10 without leading zeros in a. This is the standard form of scientific notation.