A new computational method based on Wilson wavelets is proposed for solving a class of nonlinear stochastic It^{o}-Volterra integral equations. To do this a new stochastic operational matrix of It^{o} integration for Wilson wavelets is obtained. Block pulse functions (BPFs) and collocation method are used to generate a process to forming this matrix. Using these basis functions and their operat...

Mirror Theory is a syntactic framework developed in (Brody, 1997), where it is offered as a consequence of eliminating purported redundancies in Chomsky’s minimalism (Chomsky, 1995). A fundamental feature of Mirror Theory is its requirement that the syntactic head-complement relation mirror certain morphological relations (such as constituency). This requirement constrains the types of syntacti...

The pulse shape deformation of 80 ps Gaussian input transmitted through a Fabry-P6rot has been determined experimentally and theoretically as a function of the mirror spacing. The effect of mirror surface imperfections is discussed and it is shown that for not too large imperfections there is a strong influence on the transmitted pulse energy whereas the transmitted pulse shape remains almost u...

The possibility of grand unification of the standard model (SM) with fermion spectrum extended to include mirror fermions is examined. SM gauge couplings do not automatically unify. SO(10) grand unification is studied with one intermediate scale. Renormalization group equations (RGE) for fermion Yukawa couplings and the scalar self-coupling are studied numerically at one and two loop level. Str...

The operator product expansion for “small” Wilson loops in N = 4, d = 4 SYM is studied. The OPE coefficients are calculated in the large N and g YMN limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces in the (0, 2), d = 6 superconformal theory. In this case, we find that the UV divergent terms include a term proportional to the rigid string action. ∗Present address:...

Debate has raged for decades over what counts as metaphor. Do proverbs, such as better the devil you know than the one you don't, involve metaphor? When we refer to a generic-brand tissue as a Kleenex, is that a metaphor? In this paper, we observe that controversial examples such as these fall into the class of structures called " Generic is Specific " in Conceptual Metaphor Theory (Lakoff & Jo...

Much social behavior is predicated upon assumptions an actor makes about the knowledge, beliefs and motives of others. To note just a few examples, coordinated behavior of the kind found in bargaining and similar structured interactions (Dawes, McTavish, & Shaklee, 1977; Schelling, 1960) requires that participants plan their own moves in anticipation of what their partners' moves are likely to ...

We explain how the moments of the (weight function of the) Askey Wilson polynomials are related to the enumeration of the staircase tableaux introduced by the first and fourth authors [11, 12]. This gives us a direct combinatorial formula for these moments, which is related to, but more elegant than the formula given in [11]. Then we use techniques developed by Ismail and the third author to gi...