Define Equation system. Equation system synonyms, Equation system pronunciation, Equation system translation, English dictionary definition of Equation system. pl n a set of equations that are all satisfied by the same values of the variables Collins Eng
The last equation equals zero due to Eqs. (9) and (14). This demonstrates that \(\varvec{\psi }^{(r)}(x)\) from Eq. (39) are indeed solutions of the Dirac Eq. (36). Diffusion coefficients of the stochastic motion In Sect. “Derivation of Dirac equation”, we derived the Dirac...
(6), αm,n equals 1 when m = n. When αm,n equals 0 for m ≠ n, Eq. (6) will become a single ion Freundlich equation for component m. It means there is no competition between component m and n. For competitive adsorption Mo and P, they have following equations. 5.2 Surface ...
Mathematicians discovered years ago that all circles have one thing in common: the ratio of the circumference of a circle to its diameter (circumference/diameter) is a constant number called pi, written as the symbol π, which equals 22/7 or 3.14. In reality, pi is an infinite number which...
If the regression equation x on y is 3x+2y=26 then b(xy) equals to 00:59 If b(yx) lt0 and b(xy) lt0 then r is 01:18 |b(xy)+ b(yx)|ge 02:12 Find the value of the covariance between x and y, if the regression co... 01:31 The slope of the line of regression of ...
(276) that the resistance coefficient is 5/6 = 0.833… times smaller than for a solid particle. For η/ηf>>1 (an air bubble in a liquid), this correction equals 2/3 = 0.666… Analogously, for a fluid sphere moving in a quiescent fluid with a constant velocity U, the steam ...
They have an equals sign and are assumed to be true. Think about what it means to be an equation. Doesn't it mean that the two sides are always equal? Yes, the left side must always equal the right side. For our trigonometric equation identities, instead of numbers or variables, we ...
LetG,Sbe Abelian groups, letnbe a non-negative integer. A functionf:G\rightarrow Sis said to beof degree n, if there exist functionsf_{i}:G\rightarrow Sand homomorphisms\varphi _{i}, \psi _{i}:G\rightarrow Gsuch that and the functional equation ...
with a group structure. (Below the notationis useful whenever context dictates thator some similar function, such ashbelow, is to be positive.) Its significance for (GS) was first recognized by Popa [36]. Its explanatory power as a fundamental tool in the study of regular variation is witne...
complex slowly varying amplitude at the medium entrance plane (z=0),\ellis the (very small) loss per roundtrip,\overline{D}is the modulation-period average of the population inversionD,{\Omega }_{{\rm{G}}}is the gain bandwidth, andris the usual laser pump parameter, which equals 1 at...