In this paper, we discuss and mathematically compute the eigenvalues characteristic polynomials of special even square matrices orders 4x4 8x8. Also, introduce two 8th order compound magic squares. The computed values are verified using Maple software. First, for 4th matrix, polynomial was derived to be: λ(λ-2s)( λ²+4Θ) with eigenvalues: 0,2 s, other conjugates. further analysis, performed nume...

gene delivery might be affected by several tribulations based on carrier/vector applied. bacteriophages lambda and m13 have different genome conformations; linear double-stranded and circular single-stranded respectively. therefore, it might be expected that these two common classes of gene delivery vehicles will have different capacity for gene delivery and expression in eukaryote cells. to ad...

In this paper, we consider a non-self-adjoint, singular, nonlinear fourth order boundary value problem which arises in the theory of epitaxial growth. It is possible to reduce the fourth order equation to a singular boundary value problem of second order given by w''-1/r w'=w^2/(2r^2 )+1/2 λ r^2. The problem depends on the parameter λ and admits multiple solutions. Therefore, it is difficult to...

For any abstract elementary class (AEC) K with λ=LS(K), the following holds: has an axiomatization in L(2λ)+,λ+, allowing game quantification. If arbitrarily large models, λ-amalgamation property and is categorical both λ λ+, then it Lλ+,λ+ These extend Kueker's [10] result which assumes finite character λ=ℵ0. universal λ, axiomatizable Lλ+,λ+. Shelah's celebrated presentation theorem asserts t...

Let G be a connected reductive complex algebraic group with maximal torus T. We denote by Λ the coweight lattice of Λ+⊂Λ submonoid dominant coweights. For λ∈Λ+,μ∈Λ,μ⩽λ, in [7], authors defined generalized transversal slice W‾μλ. This is an variety dimension 〈2ρ∨,λ−μ〉, where 2ρ∨ sum positive roots G. In this paper, we construct isomorphism W‾μλ≃W‾μ+λ×A〈2ρ∨,μ+−μ〉 for μ∈Λ such that 〈α∨,μ〉⩾−1 any r...