Segmentation and Mechanical Commutation

Partial Commutation and Traces

determination of some physical and mechanical properties red bean

چکیده: در این تحقیق، برخی خواص فیزیکی و مکانیکی لوبیا قرمز به-صورت تابعی از محتوی رطوبت بررسی شد. نتایج نشان داد که رطوبت بر خواص فیزیکی لوبیا قرمز شامل طول، عرض، ضخامت، قطر متوسط هندسی، قطر متوسط حسابی، سطح تصویر شده، حجم، چگالی توده، تخلخل، وزن هزار دانه و زاویه ی استقرار استاتیکی در سطح احتمال 1 درصد اثر معنی داری دارد. به طوری که با افزایش رطوبت از 54/7 به 12 درصد بر پایه خشک طول، عرض، ضخام...

Commutation Structures

For fixed object X in a monoidal category, an X-commutation structure on an object A is just a map X⊗A → A⊗X. We study aspects of such structures in case A has a dual object. We consider a monoidal category V,⊗, I; for simplicity we let it be strict (the application we have in mind is anyway a category of endofuncors on a category, with composition as ⊗). Let X be an object in V, fixed througho...

Commutation Relations and Markov Chains

It is shown that the combinatorics of commutation relations is well suited for analyzing the convergence rate of certain Markov chains. Examples studied include random walk on irreducible representations, a local random walk on partitions whose stationary distribution is the Ewens distribution, and some birth-death chains.

Commutation relations and Vandermonde determinants

We consider a certain decomposition of the matrix algebra Mn(F ), where F is a field. The commutation relations of that decomposition yield an n × n matrix Mn , which determines the multilinear polynomial identities of Mn(F ). Thus if char(F ) = 0, the matrix Mn ) determines the polynomial identities of Mn(F ). We show that M Mn(F ) is very close to the tensor product of two n × n Vandermonde m...