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Kateryna Artyushkova
Works at UNM
Attended Kent State University
Lives in Albuquerque, NM
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Kateryna Artyushkova

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Even after nearly 100 years the original models are of considerable interest. Not only as mathematical objects, but as part of the history of science and as objects of art.
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by Jonathan Kujawa Human beings are tightly bound by the limits of our intuition and imagination. Even if we grasp an idea on an intellectual level, we often struggle to internalize it to the point where it becomes a native...
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Kateryna Artyushkova

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Ichikawa removes fiery, molten glass from a kiln as it glows at 2100° F, and then manipulates it over thick paper, leaving scorch marks and burns. 
Etsuko Ichikawa is a Tokyo-born, Seattle-based artist who creates mesmerizing abstract "paintings" through the art of pyrography. Specifically, Ichikawa removes fiery, molten glass from a kiln as it glows at 2100° F, and then manipulates it over thick paper, leaving scorch marks and b
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TED periodic table. #253l
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Shylight, a light sculpture that unfolds and retreats in a fascinating choreography mirroring that of real flowers
Installation by Studio Drift features hanging lights whose shades open and close like flowers.
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Love it
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Kateryna Artyushkova

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Awesome formulas for pi!
My favorite is nested radical
So you want to know what pi equals???

Sometimes I think mathematics has a built-in sense of humor.  This is a good approximation to pi:

22/7 = 3.142857142857142857....

but hilarious part is that the difference

22/7 - π = 0.00126448926...

is given by the elegant integral shown here!

Why is this true?  I don't know any good way to answer that.  I'm sure with work I could do the integral and see that it is true, and that would be one answer.  But the question "why should there be such a cute formula for the difference between pi and everybody's favorite approximation to pi?" would remain.

Who first discovered this formula?  I don't know that either. Wolfram MathWorld says:

This integral was known by Kurt Mahler in the mid-1960s and appears in an exam at the University of Sydney in November 1960.

So, maybe Mahler discovered it, or maybe not.

Kurt Mahler did other cool things.  One of the cute things he proved was that like pi, the Chapernowne constant


is a transcendental number.  In other words: it's not the root of any polynomial with integer coefficients!

But he also did more important things.

For example, he proved Mahler's inequality.   The geometric mean of the sum of two lists of n positive numbers is greater than or equal to the sum of their geometric means!

That's pretty easy.  Mahler's theorem is harder, and I'll throw it in here just for people who need some stronger stuff for their daily dose of math.  Mahler's theorem says that any continuous function from the p-adic integers to the p-adic numbers can be expressed in terms of difference operators using the same formula that works for polynomial functions from the integers to the real numbers.

I won't write down the formula, but Newton probably knew it, and you should too - you can see it here:

So, p-adic integers are in some ways better than ordinary integers!

You can see more shocking formulas for pi here:

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Kateryna Artyushkova

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"The digits of pi never end and never show a pattern. They go on forever, seemingly at random—except that they can’t possibly be random, because they embody the order inherent in a perfect circle. This tension between order and randomness is one of the most tantalizing aspects of pi."
The beauty of pi, in part, is that it puts infinity within reach. Credit Photograph by Jeffrey Coolidge / Getty
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pi = w/100 = more or less 365 earth turnings and 2/100 make 50 hz or 60hz, that in correct outunderstanding gives our clock of time or path curvature bending around the sun solving the excentricity of 0,016, that do the SZplit amid self speed turnign around our selfs 465m/sg to 30.000mt/sg and obtein the phase of our relativity moving from light speed, that is 23º or pi/8 ( Einstein equation solution ).
The gravity is 10mt/sg^2, then10^2 = 100, gives the surface in moving...
Go with the news and go to the future we are moving about 0,016 c^2. ;;)))))
Forget the numbers in pi about the  4 rounding number, is a silly question the TRUE is alwaySZ the TRUE....
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Kateryna Artyushkova

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Molecular fractals
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On the bucket list of things to do - visit all of them! 3 are down.
Who said that laboratories, research centers and other science institutions have to be boring places? Believe me, architects are doing their bests when it comes to designing the headquarters of such facilities. The following 22 images prove that I am right.
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This study contributes to too many scientific studies, confirming that there are too many scientific studies writes: Chris Matyszczyk reports at Cnet that a new scientific study concludes there are too many scientific studies — scientists simply can't keep track of all the studies in their field. The paper, titled "Attention Decay in Science," looked at all publications (articles and ...
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And too little money for good science.
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Kateryna Artyushkova

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This is amazing indeed!
@rvaughnmd: #meatyheadsponge @DrLindseyFitz: Amazing resin cast of blood vessels in the brain. 
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I want one with inflow/outflow color differenciated in red/blue.
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Kateryna Artyushkova

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gjmueller: “sanshu-seiso: “Sanshu Seiso (Japan) ” Happy Caturday! ”
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Kateryna Artyushkova

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Clean and clear and PERFECT!
Happy Pi Day

This GIF is a visual representation of C = 2r*π (the relationship between the circumference and the diameter).

Source : #piday2015 #mathematics #scienceeveryday  
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Really lovely
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research professor
  • UNM
    research professor, present
  • KSU
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Albuquerque, NM
Kiev, Ukraine - Kent, OH
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Analytical chemists by training... god knows who by experience. Research professor at Chem & Nucl Eng department at UNM. Doing material characterization and statistical data analysis for energy technologies, fuel cells, electrocatalysts, biocatalysis, etc...

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2 miracle kids, beautiful husband,originally from Ukraine, in love with numbers
  • Kent State University
    Chemistry, 1997 - 2001
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