Definition & Betydelse | Engelska ordet NONZERO

Definition av NONZERO

1. kvantitet som inte är noll
2. (variant av) non-zero

Exempel på hur man kan använda NONZERO i en mening

• In particular, the determinant is nonzero if and only if the matrix is invertible and the corresponding linear map is an isomorphism.
• In algebra, a division ring, also called a skew field (or, occasionally, a sfield), is a nontrivial ring in which division by nonzero elements is defined.
• In mathematics, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero.
• In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo of an odd prime number p: its value at a (nonzero) quadratic residue mod p is 1 and at a non-quadratic residue (non-residue) is −1.
• In mathematics, a principal ideal domain, or PID, is an integral domain (that is, a commutative ring without nonzero zero divisors) in which every ideal is principal (that is, is formed by the multiples of a single element).
• A nonzero integer with at least one non-trivial divisor is known as a composite number, while the units −1 and 1 and prime numbers have no non-trivial divisors.
• Examples of zero divisors in the ring of 2 × 2 matrices (over any nonzero ring) are shown here:.
• Matrix diagonalization, a construction of a diagonal matrix (with nonzero entries only on the main diagonal) that is similar to a given matrix.
• or m times ten raised to the power of n, where n is an integer, and the coefficient m is a nonzero real number (usually between 1 and 10 in absolute value, and nearly always written as a terminating decimal).
• Interest in prime elements comes from the fundamental theorem of arithmetic, which asserts that each nonzero integer can be written in essentially only one way as 1 or −1 multiplied by a product of positive prime numbers.
• In contrast to fields, where every nonzero element is multiplicatively invertible, the concept of divisibility for rings is richer.
• In some alternative theories like Einstein–Cartan theory, the stress–energy tensor may not be perfectly symmetric because of a nonzero spin tensor, which geometrically corresponds to a nonzero torsion tensor.
• However such interpretation is not required to be possible, because formal series are not required to give a convergent series when a nonzero numeric value is substituted for .
• The vorticity may be nonzero even when all particles are flowing along straight and parallel pathlines, if there is shear (that is, if the flow speed varies across streamlines).
• A related phenomenon can happen with a character mod the product of primes; its nonzero values may be periodic with a smaller period.
• The remainders in the period, which are 3, 2, 6, 4, 5, 1, form a rearrangement of all nonzero remainders modulo 7, implying that 3 is indeed a primitive root modulo 7.
• From this point of view, we can define the pseudo-determinant for a singular matrix to be the product of its nonzero eigenvalues (the density of multivariate normal distribution will need this quantity).
• If an operator is not injective (so there is some nonzero x with T(x) = 0), then it is clearly not invertible.
• However, in the case of a ring being commutative, the condition for a square matrix to be invertible is that its determinant is invertible in the ring, which in general is a stricter requirement than it being nonzero.
• In general, an eigenvector of a linear operator D defined on some vector space is a nonzero vector in the domain of D that, when D acts upon it, is simply scaled by some scalar value called an eigenvalue.

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