Function Binary relation from a set A of a set B that to every a in A associates a unique b in B such that (a, b) is in the (binary) relation, as a polynomial associates its value to a given x. Group Structure
For an equation of state with an explicit pressure, the departure function for the Helmholtz energy A, and from this result all other departure functions, can readily be obtained via the thermodynamic relation: (5.2)A−A0=−∫∞V(p−RTV) dV−RT lnVV0. In Eq. (5.2), the departure...
3.By analyzing recursion relation of ladder resistance network, the formulas of calculating equivalent resistance and node voltages on ladder resistance network have been derived.通过求解梯形电阻网络中的递推关系,推导出梯形电阻网络中等效电阻及节点电压 的计算通式;证明了无穷梯形电阻网络等效电阻为常数,且给...
Universal relationships are relationships between principal stresses and stretches that hold true irrespective of the specific form of the free energy function belonging to a certain class. If the stress-stretch response predicted by a specific model violates a universal relationship associated with the ...
This paper devotes the study of pre-trigonometric and pre-hyperbolic functions. Starting with basic definitions, these functions are further generalized. It is shown that these generalized functions are related with well known Mittag-Leffler function which plays very important role in fractional calculus...
The second is the rank function on the Grothendieck-Witt group KO0[2](X) of bounded chain complexes of vector bundles. The third is the class corresponding to [H] ∈ GW −(pt) under the right isomorphism sign.trans2 : GW −(pt) ∼= BO4,2(pt). Let pB1 O : BO4,2(X) ...
1.Counter-expectation,additive relation and the types of pragmatic scale:The comparative analyses of the semantic function of shenzhi and faner;反预期、递进关系和语用尺度的类型——“甚至”和“反而”的语义功能比较 2.Social Protest,Social Theory and Social Critical Theory:Development of Three Theories...
1.A class of Recurrence Relation soved by Using cteneral Functions Method;利用母函数法解一类递推关系 2.On the recurrence relationαα_(i-1,j-1)+βα_(i-1,j)=α_(i,j);关于递推关系αa_(i-1,j-1)+βa_(i-1,j)=a_(i,j) 3.A general recurrence relation for the radial matrix...
Consequently, every recursive function is weakly representable in this theory. In Section 3.3 a repertoire of recursive functions was developed. In addition, it was shown that the class of recursive functions is closed under certain operations, such as composition (Theorem 33L) and the “least-...
Section 4 provides a more detailed elaboration of the structure-property-function relationships, addressing structures at molecular, nano-, micro-, and macro-scales that influence actuation properties and functions. At the molecular level, the chemical composition, molecular structures and interactions ...