Up — Pixar Animation Studios
“Adventure is out there!” is the familiar motto from Up that inspired many. And the directors and artists proved it to themselves when they sought firsthand reference to design the pinnacle world where …
“Adventure is out there!” is the familiar motto from Up that inspired many. And the directors and artists proved it to themselves when they sought firsthand reference to design the pinnacle world where …
“Adventure is out there!” is the familiar motto from Up that inspired many. And the directors and artists proved it to themselves when they sought firsthand reference to design the pinnacle world where …
We consider the dependence on parameters of the solutions of cohomology equations over Anosov diffeomorphisms. We show that the solutions depend on parameters as smoothly as the data. As a consequence we prove optimal regularity results for the sol...
Given any two convex polyhedra P and Q, we prove as one of our main results that the surface of P can be reshaped to a homothet of Q by a finite sequence of "tailoring" steps. Each tailoring excises a digon surrounding a single vertex and sutures the...
We prove recent conjectures of Chern concerning nonnegativity of a certain q-series related to parity bias in integer partitions....
“Adventure is out there!” is the familiar motto from Up that inspired many. And the directors and artists proved it to themselves when they sought firsthand reference to design the pinnacle world where …
Ting detects the earliest signs of hidden hazards to help keep your family and home safe from electrical fires. It's simple to set up, proven to prevent, and made for peace of mind.
Essential stuff for describing the world around you. 1. Lines and angles. 2. Related angles. What about angles bigger than 360 degrees? 3. Triangles. See if it's really true, and then prove it! They have two …
We review some recent results in which we develop a new method for proving global unique continuation for some conservative PDEs. The main tool is to prove some global propagation of analyticity. We first present some known results on the subject. Th...
We analyze certain parametrized families of one-dimensional maps with infinitely many critical points from the measure-theoretical point of view. We prove that such families have absolutely continuous invariant probability measures for a positive L...
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. These can be seen as generalizations of the birthday problem (what is the chance that there are two friends with the same bir...
The purpose of this note is prove that the mixed Hodge structure constructed by the author in math.AG/0301140 [The Leray spectral sequence is motivic, Invent. 2005] for geometric variations of Hodge structure coincides with the structure coming fro...
We prove that if any error channel has a Kraus decomposition that is simultaneously correctable and Hilbert-Schmidt (HS) complete, then the existence of Kraus sets with these properties guarantees the correctability of all quantum channels. As a proo...
We prove that all states (mixed or pure) of qubit-qutrit ($2\times 3$) systems have entanglement-preserving unitary (EPU) equivalence to a compact subset of true-generalized X (TGX) states called EPU-minimal TGX states which we give explicitly. Thus,...
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industrial buildings have historically relied on robust proven protocols (like BACnet) while proprietary protocols (like X-10) were used in homes. With the advent
Feb 27, 2024 · I stand to be proven wrong, but I don't think that there is one. The problem is "restaurant" - this sector is divided into "dining/fine dining" "pub/bar food" and "fast food" and also may include …
We prove that if $R$ is a commutative Noetherian ring, then every countably generated flat $R$-module is quite flat, i.e., a direct summand of a transfinite extension of localizations of $R$ in countable multiplicative subsets. We also show that if t...
In this short note we prove Hilbert--Schmidt stability for graph products of abelian groups and $C^*$-algebras on chordal graphs. In particular, this shows that right-angled Artin groups on chordal graphs are Hilbert--Schmidt stable....
Mar 21, 2018 · Dates are chewy fruits with a sweet flavor. Learn 8 potential health benefits of dates, as well as how to add them to your diet.