presents the definition and the two valuable properties of a simple congruence, analyzes in detail the reduction and recursion process of solving simple congruences, induces the recursive formula for solving si
CubeUVRefractionMapping and MeshStandardMaterial.refractionRatio have been removed. Use the transmission related properties of MeshPhysicalMaterial if you want to model refraction with a PBR material.137 → 138WebGLMultisampleRenderTarget has been removed. To use multisampling as before, use WebGL...
Diophantine properties of Markoff numbers - Jean Bourgain 01:01:15 A frontal view on Lefschetz fibrations I - Emmy Murphy 01:01:02 A frontal view on Lefschetz fibrations II - Rodger Casals 01:01:17 Bipartite perfect matching is in quasi-NC - Fenner 01:01:50 A quantitative look at...
Surprisingly, the low energy contribution to these sum-rules is often found to be numerically dominated by the lightest bound states, yielding estimates of their various properties. In light of the continuing interest in rigorous results on confining theories, we would like to revisit these old ...
We conclude by proposing a theoretical framework for children's acquisition of number concepts, in particular the generative properties of natural numbers. The core research question at stake is how children understand, in a philosophical sense, the infinite use of finite means. The most dominant id...
By introducing the time discretization Δt, and by setting t0=0, the fractional term can be construed as [61], [62](5)Dt0,tm[f(t)]=limΔt→0Δt−m∑j=0Nbjf(t−jΔt), where the bj coefficients can be recast in a recursive form by resorting to the properties of the ...
Sometimes I am implementing a straightforward standard eager evaluation algorithm and it would nice to not have to convert this into a lazy-friendly form. I think this might be more fundamentally difficult than converting from iterative to recursive functions. At least it has been for me so far...
To see why this is guaranteed, itsufficesto consider the effect of properties 4 and 5 together. For a red–black tree T, let B be the number of black nodes in property 5. Let the shortest possible path from the root of T to any leaf consist of B black nodes. Longer possible paths...
Specifically, we have listed all four-loop Cwebs connecting two and three Wilson lines, following the recursive algorithm developed in [1]. Using an improved version of our in-house Mathematica code, we have computed the mixing matrices for these Cwebs using the replica method [58, 73]. In...
When it comes to react fiber, most people know that this is a new feature of react. After reading some articles on the Internet, they can probably ...