We give a description of the tropical Severi variety of univariate polynomials of degree n having two double roots. We show that, as a set, it is given as the union of three explicit types of cones of maximal dimension n − 1, where only cones of two of these types are cones of the secondary fan of {0, . . . , n}. Through Kapranov’s theorem, this goal is achieved by a careful study of the possib...

vspace{0.2cm} Let $G$ be a graph and $f:V(G)rightarrow {1,2,3,.....left|V(G)right|}$ be a bijection. Let $p_{uv}=f(u)f(v)$ and\ $ d_{uv}= begin{cases} left[frac{f(u)}{f(v)}right] ~~if~~ f(u) geq f(v)\ \ left[frac{f(v)}{f(u)}right] ~~if~~ f(v) geq f(u)\ end{cases} $\ for all edge $uv in E(G)$. For each edge $uv$ assign the label $1$ if $gcd (p_{u...

we find an explicit expression of the tutte polynomial of an $n$-fan. we also find a formula of the tutte polynomial of an $n$-wheel in terms of the tutte polynomial of $n$-fans. finally, we give an alternative expression of the tutte polynomial of an $n$-wheel and then prove the explicit formula for the tutte polynomial of an $n$-wheel.

The impeller of double-suction centrifugal fans may be radially offset from the centerline volute due to faults in assembly or installation. radial results more significant non-uniformity internal flow fan, which is biased designed condition, and deteriorates aerodynamic performances fan. In this paper, we performed Unsteady Reynolds-averaged Navier–Stokes (URANS) simulations on unsteady a fan ...

In recent years, horticultural plants have frequently suffered significant heat damage due to excessive temperatures. this study, a spray cooling system was designed, consisting mainly of jet fan and spraying system. CFD simulation technology response surface methodology were used optimize the design fan, which improved thrust fan. The length inlet section 300 mm, outlet cone 450 diameter 950 w...

Our paper has two goals: i) We propose the combinatorial approach to facilitate the calculation of the number of spanning trees for five new classes of graphs. ii) We use a new powerful operation (subdivision) to get larger graphs from a given graph. In particular, we derive the explicit formulas for the subdivision of ladder, fan, triangular snake, double triangular snake and the total graph o...

On an arbitrary toric variety, we introduce the logarithmic double complex, which is essentially the same as the algebraic de Rham complex in the nonsingular case, but which behaves much better in the singular case. Over the field of complex numbers, we prove the toric analog of the algebraic de Rham theorem which Grothendieck formulated and proved for general nonsingular algebraic varieties re...

16 [8]. 61 [8]. Amer [8]. approximation [2]. associated [3]. best [2]. connected [6]. cores [7]. curve [3]. double [1]. Fan [8]. functions [2, 7]. G [8]. geometrically [1]. implicants [7]. inequality [4, 8]. integers [6]. integral [4, 8]. Lorentz [8]. Math [8]. Monthly [8]. MR [8]. nonassociative [5]. Note [8]. number [5]. polynomial [2]. prime [7]. series [1]. summed [1]. tetrahedron [3]. Theo...

abstract alluvial fans are the most striking phenomena o fluvial geomorphology . these forms are found in frount of mountains and pediments of arid and semiarid zones . alluvial fans are affected by climate changes and tectonics . occurring of tectonic events lead to reaction of alluvial fans . some of these reactions appear on dissection of alluvial fans and displacement of depocenters on allu...