Abstract This paper aims to examine the influence of gravity on a thermoelastic micro‐elongated layer when piezoelectric is above it, utilizing theory Lord–Shulman (L–S) and also model dual‐phase‐lag (DPL). A partial differential equation was transformed into an ordinary using normal mode analysis. Aluminum epoxy numerical computations are carried out, results presented in graphical format. The...

In a recent paper we showed that er ror curves in po lynomia l Chebyshev a p p r o x i m a t i o n of ana ly t ic functions on the unit disk tend to a p p r o x i m a t e perfect circles abou t the origin [23]. M a k i n g use of a theorem of Ca ra th6odo ry and Fej6r, we der ived in the process a me thod for calculat ing near-bes t a p p r o x i m a t i o n s rapid ly by finding the pr incipal...

MICRODOSIMETRY..AND THE THEORY OF STRAGGLING. Theoretical developments in microdosimetry (the determination of the spatial distribution of energy deposition on a microscopic scale) are described. It is pointed out that microdosimetric theory is equivalent to LET theory plus straggling theory. The influence of each of the different random factors (varying LET, varying track length, varying numbe...

One of the main aims of contemporary theory o f a d a p t i v e , l e a r n i n g and s e l f l e a r n i n g systems i s the u n i f i c a t i o n o f the p r o b lems of a d a p t a t i o n , l e a r n i n g and s e l f l e a r n i n g from one p o i n t o f v i e w , i . e . t h e de t e r m i n a t i o n o f the a p p r o p r i a t e mathemat i c a l t echn ique which would be ab le to s o ...

191 REFERENCES [lOI __ “More on uncertainty feedback: The bandlimited case” IEEL? Trans. Inform. Theory, vol. IT-l?, Mar. 1968, pp. 321-32:. A. J. Kramer, “Improving communication reliability by use of an intermittent feedback channel.” IEEE Trans. Inform. Theory, ~1. DX;nJa11;<1969, pp. 52-66. . Phase incoherent feedback communication,” Commun. Theory Lab., California. Inst. Technol., Pasadena...

We consider certain vacua of four-dimensional SU(N) Yang-Mills gauge theory with the same field content as the N = 4 supersymmetric Yang-Mills theory, resulting from potentials which break the N = 4 supersymmetry as well as its global SO(6) symmetry down to SO(3)×SO(3). We show that the theory behaves at intermediate scales as Yang-Mills theory on M × S L × S 2 R with magnetic fluxes on the ext...

For every n–component ribbon link L we prove that the Jones polynomial V(L) is divisible by the polynomial V(©n) of the trivial link. This integrality property allows us to define a generalized determinant det V(L) := [V(L)/V(©)](t 7→−1) , for which we derive congruences reminiscent of the Arf invariant: every ribbon link L = K1∪· · ·∪Kn satisfies det V(L) ≡ det(K1) · · · det(Kn) modulo 32, whe...