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Racing against time | Borneo Bulletin Online

Sam Metz & Brady McCombs WENDOVER, UTAH (AP) – In the Utah desert, a tree-less expanse of pristine white salt crystals have long lured daredevil speed racers, filmmakers and social media-obsessed tourists. It’s so flat that on certain days, visitors swear they can see the curvature of the Earth. The glistening white terrain of the […] ....

Bonneville Salt Flats , United States , Chris Stewart , Sam Metz Brady Mccombs , Jeremiah Bernau , Dennis Sullivan , United States Us Bureau Of Land Management , Salt Flats Racing Association , Utah Geological , Intrepid Potash , Sam Metz , American West , Independence Day , Bonneville Salt , Utah Geographical Study , Land Management , Utah Geological Survey , Bill Keach , Steve Handy , 211 , Free Less , Edia Obsessed , It S , Ellip ,

"The Singularity Set of Optimal Transportation Maps" by Zhongxuan Luo, Wei Chen et al.

Abstract: Optimal transportation plays an important role in many engineering fields, especially in deep learning. By the Brenier theorem, computing optimal transportation maps is reduced to solving Monge–Ampère equations, which in turn is equivalent to constructing Alexandrov polytopes. Furthermore, the regularity theory of Monge–Ampère equation explains mode collapsing issue in deep learning. Hence, computing and studying the singularity sets of OT maps become important. In this work, we generalize the concept of medial axis to power medial axis, which describes the singularity sets of optimal transportation maps. Then we propose a computational algorithm based on variational approach using power diagrams. Furthermore, we prove that when the measures are changed homotopically, the corresponding singularity sets of the optimal transportation maps are homotopy equivalent as well. Furthermore, we generalize the Fréchet distance concept and utilize the obliqueness condition to give ....

Convex Hull , Ormal Fréсhet Distance , Power Diagram , Econdary Polytope , Pper Envelope , Eighted Delaunay Triangulation ,

CNN Inside Politics With Abby Phillip June 4, 2024 15:32:00

Want to tug this thing more deep into the florida panhandle. some want to bring it to landfall from tampa bay. so from tampaa to florida s gul coast, it could make landfall in any of those places. there will be more clarity. they have nudged it further west as they have looked at this over the past 24, 36 hours. but just because that dot is in a particular place, it s too soon to say it s not going to be a wobble or there won t be any curvature back into the florida peninsula. basically, you have one model that s taking it there, the european model. the american model is taking it further west. what the national hurricane center does is basically try to come in the middle of what the models are out there. so expect heavy rains, strong winds, flash flooding, storm surge, and even isolated tornadoes. make preparations now, and i know a lot of people have been ....

Tampaa To Florida S Gul Coast , Tampa Bay , Florida Panhandle , U S , National Hurricane Center , Florida Peninsula , Storm Surge , Flash Flood ,

FOXNEWS Jesse Watters Primetime June 4, 2024 23:57:00

Is it the curvature? is it the flounce? tell me. oh, the flounce, that s a good one. it can be the shape. it can be the color. but, in general, what judges are looking for it all boils down to one thing, and that s who is the most magnificent that day. [laughter] jesse: okay. all right. how do you kiss? romantically is that an issue? you have to it s like when you wave in an airplane from the pilot, you have got to clear the run way a little bit and then we are all good. jesse: like you can t really go in subtly, you really have to kind of telegraph it, don t you? you do have to it sends a signal. it sends a signal to women like who is in charge here. it s obviously not me. jesse: okay. well, you are a very masculine man with that type of hair. i m going on three days and as you can see i have got nothing. so i guess that makes me. it s looking good. ....

Telegraph It , Don T You ,

BBCNEWS BBC News June 4, 2024 09:38:00

Hello to you both and thank you so much for your time. if i start with you of all, vanessa, what made you decide to do it this tri factor, all three of these feats? you know, art of all three of these feats? you know, part of it was just all three of these feats? you know, part of it wasjust getting a - part of it was just getting a different perspective on the planet and on earth because each one, the mount and show us a different aspect of the planet and that is mostly the iglesia is melting, even in the ocean showed us ocean acidification and the warming of the oceans, the polls show something else, the arctic sea ice melting. i think space was going to show me a different perspective i own that would be able to see by going over that line, i think ourfinal would be able to see by going over that line, i think our final stats are finally out, they were not out when i went to sleep last night. that perspective of seeing the curvature of the earth shows just ....

Explorer Vanessa 0 Brien , Tri Factor , It Wasjust , The Mount , Arctic Sea Ice , Something Else , Ocean Acidification ,