mathematical theories and theoretical mathematics

Consistently recurring characteristics of complex polynomials are the basis for our mathematical financial market research. Using dynamic chaos theory as an umbrella, we calculate time dependent price levels on multiple distinct fractal layers. This article describes what information results from dynamic ...

I'm not going to name names or call anyone out (you know who you are), but if I hear one more educator mindlessly say, “I hate math,” I think I'm going to ... We could certainly debate the merits of this philosophy (it's one I love in theory but have yet to see executed well) but this is a little beside the point.

He cites Steven Jay Gould's theory of non-overlapping magisteria (NOMA)—the idea that science and religion belong properly to two different domains ... Of the sixteenth century, Hobart writes that mathematical analysis, with its “abstract and functional thinking about natural processes,” would ultimately rid ...

In the words of Michael Atiyah, himself a 1966 Fields medallist, Witten's “command of mathematics is rivalled by few mathematicians”. Witten is actually a physicist, and his prize was for a mathematical proof of a theorem stemming from Einstein's general theory of relativity. He is perhaps best known for his ...

Mathematicians have long sought to build bridges between these two ancient subjects, and construct something like a “grand unified theory” of their ... His radical new geometrical insights might not only unite mathematics, but also help solve one of the deepest number problems of them all: the riddle of the ...

This mathematical framework, developed in the mid-19th century by German mathematician Bernhard Riemann, was something of a revolution itself. ... By Einstein's time, the theory was still new enough that it hadn't completely permeated through mathematics, but it happened to be exactly what Einstein ...

The book offers an in-depth exploration of the history of a number of mathematical concepts that Banerjee and Darling find intriguing. Some of their choices — including the mathematics of music, higher dimensions and chaos theory — are written in clear, accessible language that many science-interested ...

The theory behind such stable strategy profiles, which came to be known as “Nash equilibria,” revolutionized the field of game theory, altering the course of economics and changing the way .... The ubiquitous nature of this mathematical model is part of the reason Nash's work has been so impactful.

From these starting points, Neiman's paper takes an additional step, constructing a mathematical dictionary that ties together the languages of holography and twistor theory. "The underlying math that makes this story tick is all about square roots," writes Neiman. "It's about identifying subtle ways in which a ...

Yale mathematician and computer scientist Ronald Coifman has won the 2018 Rolf Schock Prize in Mathematics, one of the highest honors in the field ... he has played a crucial role in the development of the theory of wavelets, which has important applications in image compression, signal processing, and ...

I work on F-theory, a subfield of string theory, under Professor Washington Taylor. There are five types of perturbative string theory. However, we think there may be more of a unified picture. Imagine a blind person touching an elephant. They might touch its trunk and think an elephant looks like a tube.

The mathematics of the theory makes incredibly accurate predictions about the outcomes of experiments and natural phenomena. ... no explanation of why quantum physics works at all, since it can point to no feature of the world that is anything like the mathematical structures at the heart of the theory.

A mathematician who developed what some consider the "grand unified theory of mathematics" has won one of the most prestigious prizes in mathematics. ... It was at Princeton, on a school break, that the 30-year-old instructor had the insight that would shape the course of his mathematical life. When he ...

The roots of the paper go back to on of Hawking's best-known, yet unproven theories: the "no boundary proposal" to explain the Big Bang. ... What's more, Hawking and Hertog relied on a mathematical framework to connect quantum theory and gravity, but that framework relies on a number of unproven ...

Research based on dynamic chaos theory mathematics exploits consistently recurring characteristics of complex polynomials to calculate time-dependent price levels on multiple distinct layers. This article describes what information results from dynamic chaos theory mathematics and details my investment ...

Langlands, now an emeritus professor at the Institute for Advanced Study in the town of Princeton, is honored “for his visionary program connecting representation theory to number theory,” a program he first described during the midwinter break in 1966-67, when he was a 30-year-old associate professor at ...

The Canadian mathematician Robert Langlands has won the 2018 Abel Prize—one of mathematics' most-prestigious awards—for discovering surprising and far-ranging connections between algebra, number theory and analysis, the Norwegian Academy of Science and Letters announced on 20 March.

The world-famous physicist, who died last Wednesday aged 76, was a co-author to a mathematical paper in which he sought to prove the so-called "multiverse" theory, according to a report by U.K. newspaper The Sunday Times. Hawking's final work — titled "A Smooth Exit From Eternal Inflation" — is being ...

The mathematics of autoignition in reactive materials dates back to the 1920s and 30s, particularly to the early work of Nikolay Semenov, David Frank-Kamenetskii, and Yakov Borisovich Zel'dovich. Their research established a mathematical combustion theory called the theory of thermal explosion, and ...

As per the updated syllabus, Elementary Mathematics has been removed from the syllabus for class 9 and class 10 students. The change in ... Earlier for both Mathematics and Elementary Mathematics, 70 marks were allotted to theory paper and 30 marks were allotted to practical and internal assessment.

It has about 11,400 workers directly employed in steel and aluminum production who would, in theory, benefit from the implementation of tariffs. But the number of Ohio workers employed in industries that use steel and aluminum is many times larger, at 410,300. Brookings researcher Joseph Parilla tells ...

There's no minimum preparation in mathematics that's required for admission, and in fact, it's possible to graduate from Columbia without having taken a single ... And even then, mathematical and statistical techniques find application in the humanities—there is math in music theory, statistics in historical ...

The forgetting curve is a mathematical formula that describes the rate at which something is forgotten after it is initially learned. The idea is over 100 years old. It originates in the late 19th century, with German psychologist Hermann Ebbinghaus, who was among the first scientists to perform experiments to ...

At the Mathematical Medicine Group at the University of Waterloo, we have been applying mathematical and computational approaches to understand cancer growth and ... We have two competing theories to explain this: 1) the standard theory of “clonal evolution” and 2) the “cancer stem cell hypothesis.”.

Most students who do poorly in math classes at that level never get an opportunity to learn about other mathematical topics that may be more natural or interesting to them. Roberts says that in his mathematics and music course, students who did not think of themselves as mathematically inclined have ...

“MIT = Mathematically Incompetent Theories (at least as it pertains to ride-sharing),” Uber CEO Dara Khosrowshahi tweeted. By Johana Bhuiyan@JMBooyah ... Even Uber CEO Dara Khosrowshahi sounded off on Twitter, saying MIT stood for “Mathematically Incompetent Theories.” MIT = Mathematically ...

Headrick works on one of the most cutting-edge theories in theoretical physics — the holographic principle. ... the holographic principle, they will have taken a major step toward achieving the holy grail in theoretical physics, a grand unified theory that can explain all the laws and principles governing reality.