In other words, when we find the value x in a pixel, it means "the value of the image in the vicinity of this grid point is x." The idea of images as sampled representations of functions is explored further in Chapter 9. 光栅图像与这种连续图像的抽象概念有何关联呢?从具体例子来看,相机...
In other words, as the medium relative permittivity goes to zero, the Maxwell curl equation may also support solutions with zero magnetic field H=0, but a non-zero and time-varying electric field, . Naturally, the other Maxwell curl equation imposes that the associated electric field is ...
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Despite being translated into different shapes and topologies, the designed epsilon-near-zero antenna resonates at a same frequency, while exhibiting very different far-field radiation patterns, with beams varying from wide to narrow, or even from single to multiple. Additionally, the photonic doping...
a,b,c,d|e,f,g,h|i,j,k,l|m,n,o,p In other words, as you can see, there is strictly no difference in how row-major and column-major matrices are laid out in a computer's memory. This is important because there's a common misconception floating around on the internet that co...
We can also express Proposition 8 in the following manner: If G is a sheaf on Y, and if GX is the sheaf obtained by extending G by 0 outside Y, we have Hq(Y,G)=Hq(X,GX) for all q≥0; in other words, the identification of G with GX is compatible with passing to cohomology...
Section J 1 for parts to be round within 0.XXXX in. variation in radius. In other words, as long as no point on the radius falls outside of two concentric circles, the actual shape of the surface is secondary. This being the case, there are ways to approach the problem of roundness...
In other words, we can suppose that X=K^{r}. \quad By the definition of a coherent sheaf, there exists a covering of X consisting of open subsets on which \mathscr{F} is isomorphic with a quotient of the sheaf \mathscr{O}^{p}. Applying \text{Proposition} 3, we see that there ...
Topology - Geometry, Algebra, Analysis: Mathematicians associate the emergence of topology as a distinct field of mathematics with the 1895 publication of Analysis Situs by the Frenchman Henri Poincaré, although many topological ideas had found their wa
In other words, they were able to remove the dependence of the Quasiminimality Conjecture on Schanuel’s Conjecture; the former was therefore seen as more accessible. This motivated several results around Exponential-Algebraic Closedness which have been established in the last few years, see for ex...