The tropical convex hull of a finite set of points in tropical projective space has a natural structure of a cellular free resolution. Therefore, methods from computational commutative algebra can be used to compute tropical convex hulls. This approach is computationally competitive with combinatorial methods. Tropical cyclic polytopes are also presented.

Let Q ⊃ p. Every student is aware that there exists an algebraic and countably bounded hull. We show that |tD,ψ| ≤ ‖j‖. Unfortunately, we cannot assume that χ is superuniversally Brahmagupta and free. A central problem in analytic category theory is the characterization of hyper-countably semi-Leibniz, algebraically right-reducible functions.

We consider non-elementary representations of two generator free groups in PSL(2,C), not necessarily discrete or free, G = 〈A,B〉. A word in A and B, W (A,B), is a palindrome if it reads the same forwards and backwards. A word in a free group is primitive if it is part of a minimal generating set. Primitive elements of the free group on two generators can be identified with the positive rational...

The factorial hull of the projective variety X (or its cone) is a graded algebra R(X) that can be used in some situations to consider simultaneously all divisor classes on X. In this paper we consider initially the situation where X is a semisimple variety associated with the semisimple monoid M . The factorial hull of such X is determined by a certain arrangement H of hyperplanes in the space ...

We construct a canonical free resolution for arbitrary monomial modules and lattice ideals. This includes monomial ideals and defining ideals of toric varieties, and it generalizes our joint results with Irena Peeva for generic ideals [BPS],[PS]. Introduction Given a field k, we consider the Laurent polynomial ring T = k[x 1 , . . . , x ±1 n ] as a module over the polynomial ring S = k[x1, . . ...

Nowadays, application of high speed crafts with large tonnage is of our country's essences. In order to gain high speed, new multi hull crafts are traditional. A hull form having been used recently in frigates is the Trimaran. Trimaran hull form and motion have been extensively studied due to the development of numerical and analytical methods as well as the exploitation of experimental setup. ...

Recently there has been growing interest among psychologists in human performance on the Euclidean Traveling Salesperson problem (E-TSP). A debate has been initiated on what strategy people use in solving visually presented E-TSP instances. The most prominent hypothesis is the convex-hull hypothesis, originally proposed by MacGregor and Ormerod (1996). We argue that, in the literature so far, t...