Market demand of the  perishable bakery  products are volatile. Hence, demand of such items are random variable. The most appealing demand distribution of such items is lognormal demand distribution. Using historical data, the parameters of lognormal distribution are obtained. But, there is a problem of overestimation or underestimation of the parameters. Fuzzy triangular numbers are used to ov...

And hence d(x, 0) ≥ lim inf d(0, xn)− lim sup d(xn, x) = 1 Thus x ∈ S. Hence S is closed. Clearly S is bounded since it is contained in B2(0). Define en = (0, 0, . . . , 0, 1, 0, . . . ) be the sequence with all 0’s except a 1 in the nth place. Notice that en ∈ S (for `, `∞, c0). However, notice also that since, in every case, d(en, em) ≥ 1 whenever n 6= m, then the sequence en has no convergen...

Question 1. (1) Write f(x) = amx m + am−1xm−1 + · · ·+ a0. Then F = f(T ) = amT + am−1Tm−1 + · · ·+a0I. Since T is upper triangular, (T )ii = T k ii for all positive k and i ∈ {1, . . . , n}. Hence Fii = amT m ii + am−1T m−1 ii + · · ·+ a0 = f(Tii). (2) TF = Tf(T ) = T (amT m+am−1Tm−1+ · · ·+a0I) = amT+am−1T+ · · ·+a0T = (amT m + am−1Tm−1 + · · ·+ a0I)T = f(T )T = FT . (3) Since T is upper tria...

so ‖f‖p ≤ ‖f‖q · μ(X) 1 p − 1 q . Hence if f is in Lq, the left-hand side is finite hence so is the right-hand side, so f is in Lp. Also, the inequality shows that if ‖f‖p is small then ‖f‖q is also small, hence the inclusion Lq ↪→ Lp is continuous 2. Let X ⊂ Pn be an irreducible projective variety of dimension k, G(`, n) the Grassmannian of `-planes in Pn for some ` < n− k, and C(X) ⊂ G(`, n) ...

Education Vouchers: The Right to Choose or to Own? M. H. Hassani Shalmaani, Ph.D. Using education vouchers is one way of increasing parental access to schools and hence, creating rightful choices for them in regard to schools. Since such rights require governmental cooperation, it is necessary to delineate the boundaries of parental rights in order to clarify if the parents have s...

Compression is playing a vital role in data transfer. Hence, Digital camera uses JPEG standard to compress the captured image. Hence, it reduces data storage requirements.Here, we proposed FPGA based JPEG encoder. The processing system is coupled with DCT and then it is quantized and then it is prepared for entropy coding to form a JPEG encoder.

Critics in turn have raised a number of now-classic challenges. According to intellectualism, deliberately choosing which beliefs to hold is practically impossible; according to the many-gods objection, Pascal’s wager begs the question and hence is irrational; according to evidentialism, Pascalian reasoning is epistemically irresponsible and hence immoral; and according to various paradoxes, re...

an attempt is made to show in a straightforward way how a body-fixed frame may be constructed in classical and hence in quantum mechanics for a polyatomic molecule with the aid of which the vibration-rotation behavior of the molecule may be described.

bladder stone is an old known mankind disease. it is a problem of male and is more common in children of underdeveloped countries and old age men in industrialized countries. giant bladder stone in a female without any underlying problem is even a rarer entity. the case alone is hence being reported in view of its rarity and persistence of stone from childhood