Multiplicative inverse

Other proposals on the theoretical quantification of nucleophilicity are available in the literature. For instance, Chattaraj et al. [47] suggested a multiplicative inverse of... 

RECIPROCAL the multiplicative inverse of a fraction. Any number multiplied by its reciprocal equals 1. To find the reciprocal of a fraction, flip the numerator and denominator, and keep the sign of the fraction. For example, y is the reciprocal of... 

Thus, each element in D has at most one multiplicative inverse. 

Proof. Let e be an element in Endd(M) such that 0 f= e. We have to show that e possesses a multiplicative inverse in findn(M). 

W. Dieterle and J. W. Faigle, Multiple inverse isotope dilution assay for the stereospecific determination of R( +) and S( -) oxprenolol in biological fluids, J. Chromatogr., 259 311-318 (1983). 

The reciprocal of a fraction is the multiplicative inverse of the fraction. That s a complicated way of saying switch the numerator and the... 

Reciprocal the multiplicative inverse of a number, for example, the reciprocal of y is y. 

A matrix may or may not have a multiplicative inverse, which is a matrix A such that A A = I... 

A system in which an addition and a multiplication are defined and for which the commutative, associative, and distributive properties hold, where there exist identities for addition and multiplication, where every element has an additive inverse, and every non-zero element has a multiplicative inverse, is called a field. Other examples of fields are the set of rational numbers and the set of real numbers. Since the number of elements in our set is finite, we have an example of finite field. 

Find a Reciprocal Two numbers whose product is 1 are called multiplicative inverses, or reciprocals. 

This means multiplication, inversion, and finding the neutral element. An algorithm computing the neutral element can also be constructed Ifom the others One can choose a random element and multiply it with its inverse. However, one can usually find the neutral element more efficiently. 

It has the dimension of m 1. (In some surface textbooks, mean curvature is given as H = (Ki + k2), which is wrong in mathematical definition terms.) Let R and R2 be the radii corresponding to the curvatures the mean curvature H is then given by the multiplicative inverse of the harmonic mean,... 

Add 15% of the total culture volume (v/v) of PEG/NaCl solution to each centrifuge bottle. Mix very thoroughly by multiple inversions and incubate solutions at 4°C overnight to allow the phage to precipitate. 

Here h is the highest common factor of a and b, and x is the multiplicative inverse of bih modulo a/h (or, put another way, x is an integer such that xb -ya = h for some integer y). Rules 2 and 3 are self-inverse, i.e., a second application restores the original matrix. 

Cosner ME, Jansen RK, Palmer JD et al. The highly rearranged chloroplast genome of Trachelium caeruleum (Campanulaceae) Multiple inversions, inverted repeat expansion and contraction, transposition, insertions/deletions, and several repeat families. Curr Genet 1997 31 419-429. 

Data types treated by MADCAP include real numbers (no distinction is made between floating-point and integer), complex numbers, character strings, matrices with real elements, sets of natural numbers, and arrays of arbitrary elements (77). Notation and facilities exist for character-string manipulation matrix operations of addition, subtraction, multiplication, inversion, and transposition set-theoretic operations of complementation, union, intersection, subtraction, and symmetric subtraction (exclusive or). When the set-theoretic operations were added to the language, set-theoretic comparators for use in conditional expressions and other language extensions to facilitate the programming of combinatorial calculations were incorporated, as well (78). 

A reciprocal is sometimes referred to as the inverse (more specifically, the multiplicative inverse) of a number. This is because the product of any number multiplied by its reciprocal equals 1. Examples ... 

Sinee we will be working with a fixed basis, there is little point in making a formal distinetion between the tensor r and the 3x3 matrix of its components, so that imless otherwise stated, r will represent the tensor and the matrix of its components. With this understanding, it is merely neeessaiy to point out that all the usual matrix operations such as addition, transposition, multiplication, inversion, and so on, apply to tensors, and the standard notation is used for these operations. Thus, for example, / and r are, respectively, the transpose and inverse of the tensor (or matrix) r. Every second-order tensor r may be additively decomposed into a deviatoric part r and a spherical part these are defined by ... 

If the reasonable assumption is made that little radioactivity resided in carbon 5 then the isotope distribution in carbon atoms 3 and 4 was essentially equal, similar to the distribution in the D-glucose-3,4- C administered. Such data strongly support a mechanism involving multiple inversion of the as5mimetric... 

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