Malena Espanol explains how she and others use linear algebra to correct blurry images. Imagine snapping a quick picture of a flying bird. The image is likely to come out blurry. But thanks to mathematics, you might be able to use software to improve the photo. Scientists often deal with blurry pictures, too. Linear algebra and clever numerical methods allow researchers to fix imperfect photos in medical imaging, astronomy, and more. In a computer, the pixels that make up an image can be represented as a column of numbers called a vector. Blurring happens when the light meant for each pixel spills into the adjacent pixels, changing the numbers in a way that can be mathematically represented as an enormous matrix. But knowing that matrix is not enough if you want to reconstruct the original (non-blurry) image.

Stacey Finley from University of Southern California discusses how mathematical models support the research of cancer biology. Cancer research is a crucial job, but a difficult one. Tumors growing inside the human body are affected by all kinds of factors. These conditions are difficult (if not impossible) to recreate in the lab, and using real patients as subjects can be painful and invasive. Mathematical models give cancer researchers the ability to run experiments virtually, testing the effects of any number of factors on tumor growth and other processes — all with far less money and time than an experiment on human subjects or in the lab would use.

Dr. Stan Wagon of Macalester College discusses the mathematics behind rolling a square smoothly. In 1997, inspired by a square wheel exhibit at The Exploratorium museum in San Francsico, Dr. Stan Wagon enlisted his neighbor Loren Kellen in building a square-wheeled tricycle and accompanying catenary track. For years, you could ride the tricycle at Macalester College in St. Paul, Minnesota. The National Museum of Mathematics in New York now also has square-wheeled tricycles that can be ridden around a circular track. And more recently, the impressive Cody Dock Rolling Bridge was built using rolling square mathematics by Thomas Randall-Page in London.

Dr. Valentina Wheeler of University of Wollongong, Australia, shares how her work influences efforts to understand wildfires and red blood cells. In Australia, where bushfires are a concern year-round, researchers have long tried to model these wildfires, hoping to learn information that can help with firefighting policy. Mathematician Valentina Wheeler and colleagues began studying a particularly dangerous phenomenon: When two wildfires meet, they create a new, V-shaped fire whose pointed tip races along to catch up with the two branches of the V, moving faster than either of the fires alone. This is exactly what happens in a mathematical process known as mean curvature flow. Mean curvature flow is a process in which a shape smooths out its boundaries over time. Just as with wildfires, pointed corners and sharp bumps will change the fastest.

Dr. Abiy Tasissa of Tufts University, discusses the mathematics he and colleagues used to study particle collider data, including optimal transport and optimization. Collider physics often result in distributions referred to as jets. Dr. Tasissa and his team used "Earth Mover's Distance" and other mathematical tools to study the shape of jets. "It is interesting for me to see how mathematics can be applied to study these fundamental problems answering fundamental equations in physics, not only at the level of formulating new ideas, which is, in this particular case, a notion of distance, but also how the importance of designing fast optimization algorithms to be able to actually compute these distances," says Dr. Tasissa.

Sangsan Warakkagun
Conform. Geom. Dyn. 28 (), 115-130.
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Time: 10:00 AM, Location: E1.012 (Hearing Room)

Time: 9:00 AM, Location: E1.028 (Hearing Room)

Otto Overkamp
Trans. Amer. Math. Soc. 377 (), 5863-5903.
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Trans. Amer. Math. Soc. 377 (), 5705-5748.
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Carolyn S. Gordon and Michael R. Jablonski
Trans. Amer. Math. Soc. 377 (), 5673-5704.
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Ming-Lun Hsieh and Shunsuke Yamana
Trans. Amer. Math. Soc. 377 (), 5617-5672.
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Jong In Han and Sijong Kwak
Trans. Amer. Math. Soc. 377 (), 5561-5581.
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Víctor González-Aguilera, Alvaro Liendo, Pedro Montero and Roberto Villaflor Loyola
Trans. Amer. Math. Soc. 377 (), 5483-5511.
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Noga Alon, Anurag Bishnoi, Shagnik Das and Alessandro Neri
Trans. Amer. Math. Soc. 377 (), 5389-5410.
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Daniel López Neumann
Trans. Amer. Math. Soc. 377 (), 5361-5387.
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Ning Jiang, Yi-Long Luo and Shaojun Tang
Trans. Amer. Math. Soc. 377 (), 5323-5359.
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Simone Cecchini and Rudolf Zeidler
Trans. Amer. Math. Soc. 377 (), 5271-5288.
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dannyhennesy posted a photo:

On the Capital planet the rebellious droids had followed maily the Bat-Bot, but as time progressed his circuits had gone all mushy at 780 years or so without maintenance…

Several splinter groups all with their local bot leaders emerged such as the Che-bot, the traffic-light-robot and the Butt-bot, but none of these collected enough sentient circuits to call themselves a popular (or Animata) mass movement!

That was until a cyborg came along, one known as Jones, a long time prisoner and terrorist, his easy solutions to every problem rang well in the masses' auditory circuits!!!

His slogans and simple rhetoric were simple enough for the simple traffic-light to comprehend and cheer!

His language was full of hate towards the organics and especially the humans who were the most common races among the ruling class of the federation!!!

Despite being a “Fleshie” himself his message collected the angry enslaved
bot community by only weeks all rebellious robots except for a few fringe loonies had forgotten the old leaders…

One morning at Jones gave the signal…

All over the capital planet hordes and swarms of any form of mechanical sentient beings attacked first the police stations, then the Company boards running the planet and the federation as well as their starfleet…

Many died, especially the low level police and army! Many mechanicals died too, but their ranks were soon filled by Mutant fleshie allies of the lower levels who hated the Federation feudal society and upper classes as much as their technological allies…

The Federation state apparatus and ruling class, most of their fleet army fled when they knew the game was up, they activated the emergency escape plan and whole city blocks with important factories, administrational units, valuable assets and so on separated from the capital by hidden rocket engines and homed in their course to Mars…

On Mars the federation regrouped and formed their new society…

On the Capital planet, the robots proclaimed the first Techno-republic of the advanced inorganic civilization, the low level fleshies left behind, became slaves and their mutant allies got to rule their own minute chiefdoms as protectorates under the Techno-republic…

Jones was now the undisputed ruler of the capital planet, but the victory was a pyrros one since, all important buildings, all of value was now one Mars!

But as Jones put it:

Our proud race the Techno-species didn’t need the Fleshies administration, their infrastructure, their spaceships…

We shall start from scratch, with a new administration, a new order, every droid shall work at 4x speed than they did during human oppression since now we are free and the fleshies shall work twice as hard than the Techno-Race, until we have breed enough new fleshies so they can do all work!

Our future is bright and shiny like glistering shiny metal!

The snapshot seen here is from the first police station attacked in sector 45-34v-ss-g the first one to fall according to official techno-history!

———————————————/
Designers note:

I am sad to say that this is the last episode in this years-spanning space series… At least for a while, I will still post LEGO hobby stuff here but without a storyline, perhaps small designs and builds… and occasionally a story when I feel like it!!!

I would like to thank all who had been in this journey of our heros, but it has taken far to much time and effort and since the state of the world is as it is, I am spiraling down in another depression, I must stop it before I reach the abyss, so I have remove some stress out of my equation… I ended it in a cliffhanger so I can easily restart it when my mental health improves… I hope that won’t be forever???

I would love if someone used my characters or ideas, please send me a link if you do, I would love to read it or look at it!!!

But there will be more Lego, just in different format without long stories, I need to focus more on my art and to be honest that is the only time the mental pain eases, when I create!!!


Peace and Noise!

MushroomBrain a FOL

ridureyu1 posted a photo:

CHEESE FOR ALL

Christian Weiss
Theor. Probability and Math. Statist. 111 (), 199-209.
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Denise Uwamariya and Xiangfeng Yang
Theor. Probability and Math. Statist. 111 (), 167-179.
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Ta Cong Son, Tran Manh Cuong, Le Quang Dung and Le Van Dung
Theor. Probability and Math. Statist. 111 (), 153-165.
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Bero Roos
Theor. Probability and Math. Statist. 111 (), 137-151.
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Olha Prykhodko and Kostiantyn Ralchenko
Theor. Probability and Math. Statist. 111 (), 123-135.
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Lutz Mattner
Theor. Probability and Math. Statist. 111 (), 45-122.
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Claudio Macci and Barbara Pacchiarotti
Theor. Probability and Math. Statist. 111 (), 21-43.
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Abdessamad Dehaj and Mohamed Guessous
Theor. Probability and Math. Statist. 111 (), 1-8.
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Lasse L. Wolf and Hong-Wei Zhang
Proc. Amer. Math. Soc. 152 (), 5445-5453.
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Luiz Ricardo Abreu Melo
Proc. Amer. Math. Soc. 152 (), 5373-5380.
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Gabriele Benedetti, Johanna Bimmermann and Kai Zehmisch
Proc. Amer. Math. Soc. 152 (), 5367-5372.
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Ferdinand Ihringer
Proc. Amer. Math. Soc. 152 (), 5355-5365.
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Giovanni Catino and Alberto Roncoroni
Proc. Amer. Math. Soc. 152 (), 5339-5354.
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Xiaoshang Jin
Proc. Amer. Math. Soc. 152 (), 5327-5337.
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Cheng Chu
Proc. Amer. Math. Soc. 152 (), 5289-5297.
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Sudip Ranjan Bhuia
Proc. Amer. Math. Soc. 152 (), 5249-5263.
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A. Della Corte, M. Farotti and S. Rodríguez Martín
Proc. Amer. Math. Soc. 152 (), 5163-5173.
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András Kroó
Proc. Amer. Math. Soc. 152 (), 5149-5162.
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Rubén Medina and Andrés Quilis
Proc. Amer. Math. Soc. 152 (), 5137-5148.
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Simão Correia
Proc. Amer. Math. Soc. 152 (), 5117-5136.
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Neelarnab Raha
Proc. Amer. Math. Soc. 152 (), 5067-5081.
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John D. Berman
Proc. Amer. Math. Soc. 152 (), 5055-5066.
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