in this paper, the researchers have proposed a multi-dimensional knapsack model for project capital budgeting problem in uncertain situation which has been modeled through fuzzy sets. the optimistic and pessimistic situations were considered and associated deterministic models were yielded. numerical example has been supplied toillustrate the performance of proposed model. the results were prom...

In this note, we revise the problem of axial anomaly in framework very special relativity following Fujikawa's path integral approach. We show nonperturbatively that no VSR contribution is present measure $(3+1)$-dimensional spacetime. Furthermore, extend our results to $(1+1)$ dimensions, as well two-dimesional curved

We assume that a flat space E with translation space V is given and we put n := dimE = dimV. Let B be a norming cell of V (see Vol.I, Sect.51). A concept of volume for the space E should have the following property: If the norming cell B has volume 1, then a cell in E modelled on B of a given scale s ∈ P I has volume s. (Recall that such a cell is a set of the form q + sB, with q ∈ E .) Intuiti...

Λ(A)(f) = (−1)A(u)(delp(f)) + (−1) A(u)(delq(f)). (11.5) It is clear from (11.4) and the definition (11.2) that delp(f) = del(p+1)(f). Hence the two terms on the right side of (11.5) cancel and we have Λ(A)(f) = 0. Since the non-injective f ∈ Vk+1 with adjacent repeated terms was arbitrary, it follows from Prop.9 of Sect.11 that Λ(A) is skew. In View of the Lemma, we may regard (11.3) as the de...

In this paper, the researchers have proposed a multi-dimensional knapsack model for project capital budgeting problem in uncertain situation which has been modeled through fuzzy sets. The optimistic and pessimistic situations were considered and associated deterministic models were yielded. Numerical example has been supplied toillustrate the performance of proposed model. The results were prom...

We are designing tools to visualize very large sets of phylogenetic trees. Our tools give a three dimesional representation of treespace, with two dimensions representing the clustering of trees under multidimensional scaling, and the third dimension (the “height”) the score of the tree (i.e. parsimony or maximum likelihood score). The user can rotate the resulting distribution to get a sense o...

The title compound, C(5)H(8)Cl(2)O(2), represents a meso isomer crystallizing in a chiral space group with two mol-ecules per asymmetric unit. The mol-ecules form helical associates with a pitch of 6.31 Å along the a axis via O-H⋯O hydrogen bonds. The overall three-dimesional supra-molecular architecture is stabilized by C-Cl⋯O halogen bonding, with a Cl⋯O separation of 3.139 (3) Å and a C-Cl⋯O...