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QUANTA MAGAZINE | MATHEMATICS | WOLCHOVER | 05.24.2016

|| MATHEMATICIANS BRIDGE FINITE INFINITE DIVIDE ||

A surprising new proof is helping to connect the Mathematics of Infinity to the physical world .

Mathematicians Ludovic Patey and Keita Yokoyama have found a bridge across the Finite Infinite divide , helping at the same time to map this strange boundary .

CLICK ON PHOTO FOR ARTICLE & TECH PDF ➤➤

#mathematics #foundationsofmathematics #infinity #logic #settheory #computabilitytheory #prooftheory

|| MATHEMATICIANS BRIDGE FINITE INFINITE DIVIDE ||

A surprising new proof is helping to connect the Mathematics of Infinity to the physical world .

Mathematicians Ludovic Patey and Keita Yokoyama have found a bridge across the Finite Infinite divide , helping at the same time to map this strange boundary .

CLICK ON PHOTO FOR ARTICLE & TECH PDF ➤➤

#mathematics #foundationsofmathematics #infinity #logic #settheory #computabilitytheory #prooftheory

A surprising new proof is helping to connect the Mathematics of Infinity to
the physical world . Mathematicians Mathematicians Ludovic Patey and Keita
Yokoyama have found a bridge across the Finite Infinite divide , helping at
the same time to map the strange boundary

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LMFDB | L-FUNCTIONS & MODULAR FORMS DATABASE

|| INTERNATIONAL TEAM LAUNCHES VAST ATLAS OF MATHEMATICAL OBJECTS ||

A team of more than 80 Mathematicians from 12 countries has begun charting the terrain of rich , new Mathematical worlds , and sharing their discoveries on the Web .

The Mathematical universe is filled with both familiar and exotic items , many of which are being made available for the first time .

The L-FUNCTIONS & MODULAR FORMS DATABASE , abbreviated LMFDB , is an intricate catalog of Mathematical objects and the connections between them .

Making those relationships visible has been made possible largely by the coordinated efforts of a group of researchers developing new algorithms and performing calculations on an extensive network of computers .

The project provides a new tool for several branches of Mathematics , Physics , and Computer Science .

Just like explorers , Mathematicians seek to discover paths between apparently unrelated areas . Such discoveries can lead to breakthroughs when the connections are made explicit .

CLICK PHOTO TO READ ARTICLES & ACCESS LMFDB ➤➤

#LMFDB #mathematics #math #physics #computerscience #computing #computation #research #langlandsprogram #foundationsofmathematics #experimentation #numbertheory

|| INTERNATIONAL TEAM LAUNCHES VAST ATLAS OF MATHEMATICAL OBJECTS ||

A team of more than 80 Mathematicians from 12 countries has begun charting the terrain of rich , new Mathematical worlds , and sharing their discoveries on the Web .

The Mathematical universe is filled with both familiar and exotic items , many of which are being made available for the first time .

The L-FUNCTIONS & MODULAR FORMS DATABASE , abbreviated LMFDB , is an intricate catalog of Mathematical objects and the connections between them .

Making those relationships visible has been made possible largely by the coordinated efforts of a group of researchers developing new algorithms and performing calculations on an extensive network of computers .

The project provides a new tool for several branches of Mathematics , Physics , and Computer Science .

Just like explorers , Mathematicians seek to discover paths between apparently unrelated areas . Such discoveries can lead to breakthroughs when the connections are made explicit .

CLICK PHOTO TO READ ARTICLES & ACCESS LMFDB ➤➤

#LMFDB #mathematics #math #physics #computerscience #computing #computation #research #langlandsprogram #foundationsofmathematics #experimentation #numbertheory

An international group of Mathematicians at various institutions has
released a new online resource that provides detailed maps of previously
uncharted Mathematical terrain . The LMFDB is a detailed atlas of
Mathematical objects that maps out the connections between them .

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I am trying to write a deterministic Miller Rabin python program to test the primality of large numbers and I encounter memory error when doing repeated squaring. Anyone has an suggestion to fix the memory error?

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Thanks for commenting. I figured it out. The Miller Rabin program I wrote can test the primality of a number up to 1000 digits, maybe even more.

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Yesterday, during his keynote address at GTC 2016, NVIDIA CEO Jen-Hsun Huang made a number of interesting announcements and disclosures. We saw Apple co-founder Steve “Woz” Wozniak take a virtual tour of Mars and witnessed the official unveiling of NVIDIA’s Tesla P100, which is based on the company’s bleeding-edge, GP100 GPU. GP100 leverages

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Mathematician David Hilbert is famous for his thought experiment Hilbert’s Hotel: He imagined a hotel with infinite rooms, all occupied. Could a newcomer find a room? Paradoxically, because of the nature of infinity, Hilbert’s Hotel is simultaneously completely filled and also has unlimited vacancies! Read about how this concept, long thought to be theoretical, has been observed in optical vortices. http://bit.ly/1R7jppL

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How to compute *x* from *x^p = q(1 - x)*,

where*x*, *q* are positive, and *p* is a real number?

where

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Machine intelligence brings us the end of insight and certainty while Gödel/Turing is linked to quantum physics

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Nuff Said. :)

Speed of Light Base System.

This base system is called it because the Value of the Divine split is identical to the speed of light(299,792,458). Thus this base system has 299,792,458 unique digits perfect for systems that have 299,792,458 unique components. Since the cycles of this base system is exactly that of the speed of light then this is like slowing down light to see it fine detailed unique components without actually slowing light down. Remember the lower the base system the faster the cycles are and speed of light in decimal is extremely fast because of it's short cycles compared to a 299,792,458(speed of light) base system. In the speed of light base system we can do all the arithmatic and all other mathematical(transparent, orderly and versitile) manipulation as if the light has stand still and zoomed in. :)

This base system is called it because the Value of the Divine split is identical to the speed of light(299,792,458). Thus this base system has 299,792,458 unique digits perfect for systems that have 299,792,458 unique components. Since the cycles of this base system is exactly that of the speed of light then this is like slowing down light to see it fine detailed unique components without actually slowing light down. Remember the lower the base system the faster the cycles are and speed of light in decimal is extremely fast because of it's short cycles compared to a 299,792,458(speed of light) base system. In the speed of light base system we can do all the arithmatic and all other mathematical(transparent, orderly and versitile) manipulation as if the light has stand still and zoomed in. :)

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Fluidic logic gates

In an innocent way, and mainly based on my ignorance, in 2001 I developed an online toy about building tiny computing objects with logic blocks: Is my OBBLOG Ignoring the equivalences of the Karnaugh table, OBBLOG contains ...

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RAMANUJAN MATHEMATICS | STEPHEN WOLFRAM | 04.27.2016

|| TRUTH VERSUS NARRATIVE | EXCERPT ||

Ramanujan's way of working must have seemed quite alien . For Ramanujan was in some fundamental sense an Experimental Mathematician :

Going out into the Universe of Mathematical possibilities and doing calculations to find interesting and significant facts — and only then building theories based on them .

|| SEEING WHAT IS IMPORTANT | EXCERPT ||

Ramanujan was surely a great human calculator , and impressive at knowing whether a particular Mathematical fact or relation was actually true .

But Ramanujan's greatest skill was , I think , something in a sense more mysterious : an uncanny ability to tell what was significant , and what might be deduced from it .

CLICK PHOTO TO READ COMPREHENSIVE ARTICLE & ACCESS RESOURCES ➤➤

#mathematics #ramanujan #wolfram #srinivasaramanujan #stephenwolfram #mathematica #math #computation #computing #puremathematics #numbertheory #experimentation #discovery

|| TRUTH VERSUS NARRATIVE | EXCERPT ||

Ramanujan's way of working must have seemed quite alien . For Ramanujan was in some fundamental sense an Experimental Mathematician :

Going out into the Universe of Mathematical possibilities and doing calculations to find interesting and significant facts — and only then building theories based on them .

|| SEEING WHAT IS IMPORTANT | EXCERPT ||

Ramanujan was surely a great human calculator , and impressive at knowing whether a particular Mathematical fact or relation was actually true .

But Ramanujan's greatest skill was , I think , something in a sense more mysterious : an uncanny ability to tell what was significant , and what might be deduced from it .

CLICK PHOTO TO READ COMPREHENSIVE ARTICLE & ACCESS RESOURCES ➤➤

#mathematics #ramanujan #wolfram #srinivasaramanujan #stephenwolfram #mathematica #math #computation #computing #puremathematics #numbertheory #experimentation #discovery

Ramanujan's way of working must have seemed quite alien . For Ramanujan was
in some fundamental sense an Experimental Mathematician : Going out into
the Universe of Mathematical possibilities and doing calculations to find
interesting and significant facts — and only then building theories based
on them .

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Singapore, May 10, PyData Meetup’s Talk by Dr. Pawel Lachowicz

http://www.quantatrisk.com/2016/04/26/predicting-next-fatal-airline-crash-due-to-bad-weather-conditions/

Hi Guys! Just FYI, I will have an invited guest 20-min talk at PyData Singapore MeetUp on May 10, 2016 on big data analysis aimed at Prediction of the Next Fatal Airline Crash Due to Bad Weather Conditions. In short, instrument meteorological conditions (IMC) is an aviation flight category that

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I have not been sponsored to say, I just think this is a great project :) take a look ^_^

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Here is an excellent example of the power of Fourier Transforms. Joseph Fourier, the father of Fourier Analysis, could never have anticipated the adoption of his mathematical techniques to revolutionize the study of the Universe. Here is one such example -

This is a derivation of the Propagator for the Path Integral Formulation for a Free Field Theory. I needed to derive this result for my research but I could not find an adequate resource showing how to use Fourier Transformations to derive the Free Propagator. After much toil, I finally got it! I encourage you to check my work! Thank you!

Fourier rocks!

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