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It is possible to smoothly and continuously turn a sphere inside out in this way (allowing self-intersections of the sphere's surface) without cutting or tearing it or creating any crease. This is surprising, both to non-mathematicians and to those who understand regular homotopy , and can be regarded as a veridical paradox ; that is something ...
Every global cut is an -cut for some ,. Thus, the minimum cut problem can be solved in polynomial time by iterating over all choices of s , t ∈ V {\displaystyle s,t\in V} and solving the resulting minimum s {\displaystyle s} - t {\displaystyle t} cut problem using the max-flow min-cut theorem and a polynomial time algorithm for maximum flow ...
Loop subdivision of an icosahedron; refinement steps zero, one, and two. In computer graphics, the Loop method for subdivision surfaces is an approximating subdivision scheme developed by Charles Loop in 1987 for triangular meshes. Prior methods, namely Catmull-Clark and Doo-Sabin (1978), focused on quad meshes.
Loop unrolling, also known as loop unwinding, is a loop transformation technique that attempts to optimize a program's execution speed at the expense of its binary size, which is an approach known as space–time tradeoff. The transformation can be undertaken manually by the programmer or by an optimizing compiler.
In 3D computer graphics, 3D modeling is the process of developing a mathematical coordinate-based representation of a surface of an object (inanimate or living) in three dimensions via specialized software by manipulating edges, vertices, and polygons in a simulated 3D space.
A control loop is the fundamental building block of control systems in general and industrial control systems in particular. It consists of the process sensor, the controller function, and the final control element (FCE) which controls the process necessary to automatically adjust the value of a measured process variable (PV) to equal the value of a desired set-point (SP).
LOOP is a simple register language that precisely captures the primitive recursive functions. [1] The language is derived from the counter-machine model . Like the counter machines the LOOP language comprises a set of one or more unbounded registers , each of which can hold a single non-negative integer.
"Moment of Surrender" is played in common time at a tempo of 87 beats per minute in a key of A minor. [14] The song makes use of the conventional verse-chorus form.The song begins with an uneven percussion loop, before an ambient synthesiser fades in and the drums enter at 0:08. [6]