# Scalar sentence example

scalar

- Although many pseudo-symmetric twins are transformable into the simpler form, yet, in some cases, a true polymorph results, the change being indicated, as before, by alterations in scalar (as well as vector) properties.
- If we put qo= Sq' - Vq', then qo is called the conjugate of q', and the scalar q'qo = qoq' is called the norm of q' and written Nq'.
- In the third-order complex the centre locus becomes a finite closed quartic surface, with three (one always real) intersecting nodal axes, every plane section of which is a trinodal quartic. The chief defect of the geometrical properties of these bi-quaternions is that the ordinary algebraic scalar finds no place among them, and in consequence Q:1 is meaningless.
- The fundamental character of energy in material systems here comes into view; if there were any other independent scalar entity, besides mass and energy, that pervaded them with relations of equivalence, we should expect the existence of yet another set of qualities analogous to those connected with temperature.
- While polysymmetry is solely conditioned by the manner in which the mimetic twin is built up from the single crystals, there being no change in the scalar properties, and the vector properties being calculable from the nature of the twinning, in the case of polymorphism entirely different structures present themselves, both scalar and vector properties being altered; and, in the present state of our knowledge, it is impossible to foretell the characters of a polymorphous modification.Advertisement
- For if 0, A, B be any three points, and m, n any scalar quantities, we have in vectors m.~+n.~=(m+n)O~, (I)
- This has a reciprocal Q -1= p-r = qq-1 - wp1 rq1, and a conjugate KQ (such that K[QQ'] = KQ'KQ, K[KQ] = Q) given by KQ = Kq-}-rlKp+wKr; the product QQ' of Q and Q' is app'+nqq'+w(pr'+rq'); the quasi-vector RI - K) Q is Combebiac's linear element and may be regarded as a point on a line; the quasi-scalar (in a different sense from the rest of this article) 2(1+K)Q is Combebiac's scalar (Sp+Sq)+Combebiac's plane.
- The plane is of vector magnitude ZVq, its equation is ZSpq=Sr, and its expression is the bi-quaternion nVq+wSr; the point is of scalar magnitude 4Sq, and its position vector is [3, where 1Vf3q=Vr (or what is the same, fi = [Vr+q.
- It is doubtful indeed whether any general conclusions can yet be drawn as to the relations between crystal structure and scalar properties and the relative stability of polymorphs.
- Putting q=a+,61+yj+bk, Hamilton calls a the scalar part of q, and denotes it by Sq; he also writes Vq for 01+yj+b ï¿½, which is called the vector part of q.Advertisement
- The space within is filled with radiations corresponding to this temperature, and these attain a certain equilibrium which permits the energy of radiation to be spoken of as a whole, as a scalar quantity, without express reference to the propagation or interference of the waves of which it is composed.
- In the language of vector analysis (q.v.) it is the scalar product of the vector representing the force and the displacement.
- To multiply A 1 by a scalar, we apply the rule A = A1E = E (Eat) ea, and similarly for division by a scalar.
- The mathematical importance of this function called the potential is that it is a scalar quantity, and the potential at any point due to any number of point charges ql, q2, q3, &c., distributed in any manner, is the sum of them separately, or qi/xl+q2/x2+q3/x3+&c. =F (q/x) =V (17), where xi, x2, x 3, &c., are the distances of the respective point charges from the point in question at which the total potential is required.
- In the same way, the work dne by a force acting on a rigid body in any infinitely small displacement of the body is the scalar product of the force into the displacement of any point on the line of action.Advertisement
- As an example of advection let us consider 1D advection of a constant gradient of some scalar.
- By CDF Collaboration Phys.Rev.Lett.84:2094-2099,2000. [hep-ex/9910025] Search for scalar top and scalar bottom quarks in p anti-p collisions at S**(1/2) = 1.8-TeV.
- Abstract: I will spend half the talk motivating the search for constant scalar curvature Kahler metrics.
- Derivatives of scalar fields: Gradient, directional derivatives of scalar fields: Gradient, directional derivative; applications including classification of max, min and saddle using Hessian.
- lowercase letters are allowed for a scalar register name.Advertisement
- So when the result exceeds 52 bits or when floating overflow occurs, the result differs from that of scalar execution.
- Cadd Adds a scalar to an NDF data structure.
- Subroutines, like bare blocks, may return either a scalar or a list value to the calling context.
- If X or N are arrays, ITER will contain a scalar representing the maximum number of iterations.
- So clearly the new procurement will involve both scalar, vector and parallel national facilities.Advertisement
- Later parts of the module will assume familiarity with elementary material on vectors in 2 and 3 dimensions including scalar and vector products.
- We propose to adapt some recent results obtained for the Navier-Stokes equations to the passive scalar.
- However, a ` ` simple scalar ' ' includes an identifier that itself uses method 1 recursively.
- scalar implicatures.
- scalar implicature.Advertisement
- scalar multiplication and inverses.
- scalar curvature Kahler metrics.
- scalar variable or an element of an array.
- RESERVE [= n] n indicates a scalar integer constant or default integer-type scalar integer constant or default integer-type scalar variable name.
- Some mathematical functions have vectorized version, inlining version, and fast scalar version.Advertisement
- Currently (as of Perl 5.6) only scalar values may be used as assignable return values.
- M An integer scalar or array, - L £ M £ L, specifying the order m of.
- However, a byte scalar also becomes a string scalar.
- scalar of the appropriate type.
- speedup factor of 6 between vector and scalar mode.Advertisement
- MACRO_NAMES Set this keyword to a scalar string or an array of strings that specifies the names of one or more macros to run.
- User-defined subroutines may choose to care whether they are being called in a void, scalar, or list context.
- Index A scalar or vector containing the one-dimensional subscripts to be converted.
- metric tensor,, and a distance between points; a scalar product of two vectors.
- A scalar field with a potential V, will have the energy momentum tensor shown on the screen.Advertisement
- If you need to force a scalar to a number, add a zero to it.
- The criterion whether a pseudo-symmetric form is a true polymorph or not consists in the determination of the scalar properties (e.g.
- Putting q=a+,61+yj+bk, Hamilton calls a the scalar part of q, and denotes it by Sq; he also writes Vq for 01+yj+b Ã¯¿½, which is called the vector part of q.
- a n) in which only its scalar coefficients occur; in fact, the special units only serve, in the algebra proper, as umbrae or regulators of certain operations on scalars (see Number).
- CADD Adds a scalar to an NDF data structure.Advertisement
- Part 2 presents a wide range of topics, whereas Part 3 is focussed on scalar implicatures.
- When children are more logical than adults: Experimental investigations of scalar implicature.
- Cayley gave a matrix algebra defining addition, multiplication, scalar multiplication and inverses.
- May refer to a scalar variable or an element of an array.
- RESERVE [= n] n indicates a scalar integer constant or default integer-type scalar variable name.
- Otherwise, the argument will be converted to a scalar of the appropriate type.
- In this way we obtain a speedup factor of 6 between vector and scalar mode.
- Metric tensor, , and a distance between points; a scalar product of two vectors.
- This sort of multiplication is given a special name; it is scalar multiplication, because the numbers are sometimes called scalars.
- multiplication by a scalar.