This study suggests that the smallest physical constant exists for product of space interval, time and energy. The integer times which correspond to energy, interval any particle. Combined with fractal geometry, many parameters cannot be calculated using current theory can through our new method. As a theoretical prediction, these results will tested by experiment.

(i) Solve for u (x, y, t) subject to an initial condition u (x, y, 0) = 100. (ii) Find the smallest eigenvalue λ and the first term approximation (i.e. the term with e−λκt). (iii) For fixed t = t0 ≫ 0, sketch the level curves u = constant as solid lines and the heat flow lines as dotted lines, in the xy-plane. (iv) Of all rectangular plates of equal area, which will cool the slowest? Hint: for ...

The dimension of a poset X is the smallest positive integer t for which there exists an embedding of X in the cartesian product of t chains. R. P. Dilworth proved that the dimension of a distributive lattice v L = 2_ is the width of X. In this paper we derive an analogous result for embedding distributive lattices in the cartesian product of chains of bounded length. We prove that for each k > ...

Let Γ2 ⊆ Γ1 be finitely generated subgroups of GLn0 (Z[1/q0]). For i = 1 or 2, let Gi be the Zariski-closure of Γi in (GLn0 )Q, Gi be the Zariski-connected component of Gi, and let Gi be the closure of Γi in ∏ p-q0 GLn0 (Zp). In this article we prove that, if G1 is the smallest closed normal subgroup of G1 which contains G2 and Γ2 y G2 has spectral gap, then Γ1 y G1 has spectral gap.

ed from Tradeoff Model 1 r ff l ( ) 1 ⋅ T Tradeoff Model 2 r ff l ( ) 2 ⋅ T Tradeoff Model L r ff l ( ) L ⋅ T ... Select the 1 l L ∈ ... with the smallest ( ) ( ) * * 0 l − T y T y ... (b) Figure 3.3: Illustration of two procedures for making selection decisions using tradeoff models. Approach (a) involves an independent optimization problem for each tradeoff model; approach (b) requires only o...

AIM To investigate the validity and reliability of the revised Video-Observation Aarts and Aarts module: Determine Developmental Disregard (VOAA-DDD-R). METHOD Upper-limb capacity and performance were assessed in children with unilateral spastic cerebral palsy (CP) by measuring overall duration of affected upper-limb use and the frequency of specific behaviours during a task in which bimanual...

Given a fixed hypergraph H H , let alttext="w s t left-parenthesis n comma upper H right-parenthesis"> wsat ...

For any positive integer n, the Pseudo-Smarandache function Z(n) is defined as the smallest positive integer k such that n | k(k + 1) 2 . That is, Z(n) = min { k : n| + 1) 2 } . The main purpose of this paper is using the elementary methods to study the mean value properties of p(n) Z(n) , and give a sharper asymptotic formula for it, where p(n) denotes the smallest prime divisor of n.