Penelitian ini bertujuan untuk mengetahui keragaman dan korelasi antara dimensi kedalaman tinggi tubuh induk sapi bali berdasarkan pengukuran dapat dipakai sebagai indikasi dalam melakukan seleksi bibit pada Pusat Pembibitan Sapi Bali Unggul (PPSBU) di Desa Gerokgak, Buleleng, Bali. Objek penelitian yang digunakan terdiri atas 25 ekor berada PPSBU. Data diperoleh kemudian dianalisis dengan anal...

Given a symmetric convex body C and n hyperplanes in an Euclidean space, there is a translate of a multiple of C, at least 1 n+1 times as large, inside C, whose interior does not meet any of the hyperplanes. The result generalizes Bang's solution of the plank problem of Tarski and has applications to Diophantine approximation.

In 1950 Bang proposed a conjecture which became known as “the plank conjecture”: Suppose that a convex set S contained in the unit cube of <n and touching all its sides is covered by planks. (A plank is a set of the form {(x1, . . . , xn): xj ∈ I } for some j ∈ {1, . . . , n} and a measurable subset I of [0, 1]. Its width is defined as |I |.) Then the sum of the widths of the planks is at least...

This paper presents an overview of the Fokker-Planck formalism for non-biological magnetic resonance simulations, describes its existing applications and proposes some novel ones. The most attractive feature of Fokker-Planck theory compared to the commonly used Liouville - von Neumann equation is that, for all relevant types of spatial dynamics (spinning, diffusion, stationary flow, etc.), the ...

Electron beam dose calculations are often based on pencil beam formulas such as the Fermi-Eyges formula. The Fermi-Eyges formula gives an exact solution of the Fermi equation. The Fermi equation can be derived from a more fundamental mathematical model, the linear Boltzmann equation, in two steps. First, the linear Boltzmann equation is approximated by the Fokker-Planck equation. Second, the Fo...

The UK government has made mass testing a key plank of its strategy to reopen schools in England. Ingrid Torjesen reviews the questions and concerns over this approach

Statistics of the single mode light in the χ Abstract The quantum statistics of the light in the transparent medium with cubic nonlinearity is considered. Two types of transparent media are treated,namely, the cold transparent medium with a ground working level and the inversion-free medium with the lasing levels of the same population. The spectra of light fluctuation are found on the basis of...

Force-induced changes in protein conformation are thought to be responsible for certain cellular responses to mechanical force. Changes in conformation subsequently initiate a biochemical response by alterations in, for example, binding affinity to another protein or enzymatic activity. Here, a model of protein extension under external forcing is created inspired by Kramers' theory for reaction...

Treating the motion of a dust particle suspended in a liquid as a random walk, Einstein in 1905 derived an equation describing the diffusion of the particle’s probability distribution in configuration space. Fokker and Planck extended this work to describe the velocity distribution of the particles. Their equation and its solutions have been applied to many problems in nature starting with the ...