The present invention removes the limitation of a homogeneous reactor by providing a reactor concept that utilizes the inherent advantages of homogeneous fuel elements but in a heterogeneous fuel lattice arrangement that limits the power density of any one homogeneous fuel element and yet forms a ...
\(\begin{array}{l}\frac{\mathrm{d} y}{\mathrm{d} x} = f(x,y) = g\left ( \frac{y}{x} \right )\end{array} \) step 1- substitute y = vx in the given differential equation. step 2 – differentiating, we get, \(\begin{array}{l}\frac{dy}{dx} = v + x\frac{dv...
Since \(x' \in C'\) was arbitrary, all elements of \(C'\) are in the same isosceles-free component as x. Hence, \(C'\) is isosceles-free, and so degenerate as an isosceles-generated component. Hence, if there are at least two isosceles-generated components, they are degenerate, ...
$$\begin{aligned} {\beta }= a^{-1} \cdot \left[ \begin{array}{c@{\quad }c} {-{\mathrm{Id}}_{\mathfrak {a}}} &{} {0} \\ {0} &{} {0} \end{array} \right] \end{aligned}$$ and \(a = \dim \mathfrak {a}\). If \(\nu \in \mathcal {S}_{{\beta }_\math...
coder.typeof determines whether the cell array type is homogeneous or heterogeneous. If the cell array elements have the same class and size, coder.typeof returns a homogeneous cell array type. If the elements have different classes, coder.typeof returns a heterogeneous cell array type. For som...
Magnetic hysteresis curve of an ellipses array with 7 nm NiFe thickness with field in-plane along the long (black)/short (red) axis and out-of-plane (green). Full size image The magnetic anisotropy and a remanent state in the long axis are responsible for a stable in-plane rotation of ...
This thesis addresses the problem of orchestrating many computing elements in the performance of general-purpose computations. There are three major obstacles in the way of this goal. First, it must be possible to express programs in a notation that allows concurrency to be discovered and exploited...
Hence quasi-translations correspond to a special kind of locally nilpotent derivations. Furthermore, invariants of the quasi-translationx + Hare just kernel elements ofD. Paul Gordan and Max Nöther call these kernel elements ‘Functionen\Phi’ in Gordan and Nöther (1876). ...
we denote the group of permutations of two elements. to arrive at the third line, we simply estimated \(n_p (n_p -1) \leqq n_p^2\) and to come to the last line we used ( 2.21 ) and $$\begin{aligned} \sum _p \langle n_p^2 \rangle _{\gamma _{n,0}^{{\mathrm {g}...
20. The liquid-cooled heat sink of claim 13, wherein the top layer, the base layer, and the middle plate are formed of ceramic. 21. A heat sink comprising: a top plate having an array of circuitous fluid channels, each channel having a separate channel inlet and with the channels shari...