What is torsion in differential geometry? Is differential geometry Euclidean? What is computational algebraic geometry? Discuss some contemporary applications of geometry. What does edge of regression mean in differential geometry? What is the differential of a wedge product?
In the two-dimensional case one can arrange matters so that all the velocities are parallel. If we furthermore assume that the tile is connected, we can also show that the union of all the translates with a common velocity form a -invariant subset of the torus. Finally, we show that til...
On the other hand, Wang’s argument is not known to be reversible: the failure of the periodic tiling conjecture does not automatically imply the undecidability of the translational monotiling problem, as it does not rule out the existence of some other algorithm to determine tiling that does ...
There is a big difference between "conserved" (does not change over time) and "invariant" (is agreed on by different reference frames). The body which is at rest or in motion in the non-inertial frame experiences a change in momentum (changes over time) which is apparently not caused ...
Chapter 43/ Lesson 1 148K Learn what translation, rotation, and reflection mean in math. Identify examples of these transformations and discover the key differences between them. Explore our homework questions and answers library Search Browse ...
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Latent profile analysis was performed to estimate and decide the number of profiles. This approach does not rely on random values (e.g. a standard deviation above the mean) but on the fit of models with a different number of profiles. To decide the number of profiles, we attended both the...
Though plenty of the problems on Atcoder are ad-hoc / brain teaser / maths but they are very fun to solve and most of those can be done within 20 lines of code. → Reply Misuki 9 months ago, # ^ | ← Rev. 3 +35 I think there isn't much problem rely on invariant or ...
In this paper we improve the upper bound to come closer to the lower bound: Theorem 1 For any , and any infinite-dimensional , there exist operators obeying (1) such that One can probably improve the exponent somewhat by a modification of the methods, though it does not seem likely th...
On the other hand, by the pioneering work of Voiculescu in free probability, we know in the large limit that if are asymptotically drawn from some limiting distribution, and and are drawn independently at random (using the unitarily invariant Haar measure) amongst all Hermitian matrices with the...