### Benjamin Critchlow

Research -1

Final trick is one from a class which I call 'zero complexity' tricks and I call it 'Kansas City Shuffle'.

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Final trick is one from a class which I call 'zero complexity' tricks and I call it 'Kansas City Shuffle'.

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Find the combined multiplication & addition series of odd numbers.

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Hi everybody. Does anyone has a way to get this paper? Tanks in advance.

Cohen, Paul J. Comments on the foundations of set theory. In:

Scott, Dana S. (ed.) axiomatic Set Theory. Proceedings of Symposia in Pure Mathematics vol 13, part 1. Providence, Amerian Mathematical Society (1971).9-15

Cohen, Paul J. Comments on the foundations of set theory. In:

Scott, Dana S. (ed.) axiomatic Set Theory. Proceedings of Symposia in Pure Mathematics vol 13, part 1. Providence, Amerian Mathematical Society (1971).9-15

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Tvvttv

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Find Combined Multiplication & Addition Series of Squares

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Eventually... in 3 weeks... Loads of maths. Built-in...

"Python for Quants. Volume I."

http://www.quantatrisk.com/python-for-quants-volume-i/

"Python for Quants. Volume I."

http://www.quantatrisk.com/python-for-quants-volume-i/

The official website of "Python for Quants. Volume I." book: Learn Python for Maths, Statistics, Data Analysis, Quantitative Finance.

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Itô Formula for Integral Processes Related to Space-Time Lévy Noise

#ItoFormul #LevyNoise #Mathematics

http://www.scirp.org/journal/PaperInformation.aspx?PaperID=59834&utm_campaign=google&utm_medium=ldc

In this article, we give a new proof of the Itô formula for some integral processes related to the space-time Lévy noise introduced in [1] [2] as an alternative for the Gaussian white noise perturbing an SPDE. We discuss two applications of this result, which are useful in the study of SPDEs driven by a space-time Lévy noise with finite variance: a maximal inequality for the p-th moment of the stochastic integral, and the Itôrepresentation theorem leading to a chaos expansion similar to the Gaussian case.

#ItoFormul #LevyNoise #Mathematics

http://www.scirp.org/journal/PaperInformation.aspx?PaperID=59834&utm_campaign=google&utm_medium=ldc

In this article, we give a new proof of the Itô formula for some integral processes related to the space-time Lévy noise introduced in [1] [2] as an alternative for the Gaussian white noise perturbing an SPDE. We discuss two applications of this result, which are useful in the study of SPDEs driven by a space-time Lévy noise with finite variance: a maximal inequality for the p-th moment of the stochastic integral, and the Itôrepresentation theorem leading to a chaos expansion similar to the Gaussian case.

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Cauchy m the limit concept and Calculus

https://www.scribd.com/doc/281120065

What is the real contribution of Cauchy in Calculus?

https://www.scribd.com/doc/281120065

What is the real contribution of Cauchy in Calculus?

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Cauchy was a genius

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Topology of a finite straight line: Pseudo Knot Theory

In my effort to create and formalise notations and theories to describe the art form of the yo-yo in a mathematical way, I am beginning to develop what I think might be an, as of yet, unexplored area of mathematics. Thus far I have only sketches which show configurations of the string and fingers, and have a few ideas for formal definitions, but have not finalised any of the formal ideas.

A quasi-knot mount is a configuration in the string whereby if one were to drop all of the loops around your fingers, gravity pulling the string tight would create a 'knot' - one cannot call it a knot within Mathematics of course, with a knot being a loop which is not ambient isotopic to the unknot. Of course the quasi-knot is simply a knot in the colloquial sense.

Quasi-isotopy (or quasi-ambient isotopy - I haven't yet decided which would be a more appropriate term), forms the basis of the equivalence classes within yo-yo string configurations. I haven't explored this yet, nor formally defined it, so I don't know if we can make an equivalence relation - I may have to base my theory on a different kind of binary relation, and as of yet haven't considered alternatives.

With what ever binary relation suits the theory best, one could find unique quasi-knot mounts that are quasi-isotopic, then explore the means of getting between the two to construct a trick. In theory, this can be done purely theoretically before picking up a yo-yo at all, which is my goal.

These are my thoughts so far; I have made no ground with formalities.

If anyone is interested and would like to discuss and/or contribute, feel free to invite me to a hang out. I will make posts as my ideas progress (or perhaps not if it turns out to be a useless red herring).

In my effort to create and formalise notations and theories to describe the art form of the yo-yo in a mathematical way, I am beginning to develop what I think might be an, as of yet, unexplored area of mathematics. Thus far I have only sketches which show configurations of the string and fingers, and have a few ideas for formal definitions, but have not finalised any of the formal ideas.

A quasi-knot mount is a configuration in the string whereby if one were to drop all of the loops around your fingers, gravity pulling the string tight would create a 'knot' - one cannot call it a knot within Mathematics of course, with a knot being a loop which is not ambient isotopic to the unknot. Of course the quasi-knot is simply a knot in the colloquial sense.

Quasi-isotopy (or quasi-ambient isotopy - I haven't yet decided which would be a more appropriate term), forms the basis of the equivalence classes within yo-yo string configurations. I haven't explored this yet, nor formally defined it, so I don't know if we can make an equivalence relation - I may have to base my theory on a different kind of binary relation, and as of yet haven't considered alternatives.

With what ever binary relation suits the theory best, one could find unique quasi-knot mounts that are quasi-isotopic, then explore the means of getting between the two to construct a trick. In theory, this can be done purely theoretically before picking up a yo-yo at all, which is my goal.

These are my thoughts so far; I have made no ground with formalities.

If anyone is interested and would like to discuss and/or contribute, feel free to invite me to a hang out. I will make posts as my ideas progress (or perhaps not if it turns out to be a useless red herring).

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Ah I have read Rolfsen briefly in my final year, though only to supplement the course notes. Well written, nice typesetting. Would be nice to own it.

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Delfim F. M. Torres, matemático da Universidade de Aveiro (UA), é um dos seis cientistas portugueses galardoados com o título 2015 Thomson Reuters Highly Cited Researcher. A distinção, uma referência para a ciência mundial porque enaltece todos os anos os autores dos trabalhos mais citados nas respetivas áreas de estudo, coloca Delfim F. M. Torres, segundo os responsáveis pela lista, entre “algumas das mentes científicas mais influentes do mundo”. O investigador da UA é mesmo o único matemático nacional e um dos cem mundiais a receber o título.

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In this paper we show that all the 1– error correcting quaternary codes can be partitioned into 4 disjoint equivalence classes.

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The famous mathematician from the 18th century solved the enigma of crossing all bridges of Konigsberg in one route. Today, we known that as Euler path.

Have you heard the true story of seven bridges of Konigsberg? The famous mathematician from the 18th century solved the enigma of crossing all bridges in one route.

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Combined Multiplication & Addition Series for even numbers

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Find the method for Partition of number

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Math Solver

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Do you know the recursive Euler identity?! Number of partitions P (n) of a given number n is expressed recursively as

P(n) = (1/n) sum_{m=0}^{n-1} s(n-m)P(m),

where s(k) is equal to the sum of positive divisors of k, and also P(0) = 1.

P(n) = (1/n) sum_{m=0}^{n-1} s(n-m)P(m),

where s(k) is equal to the sum of positive divisors of k, and also P(0) = 1.

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>> Knot Theory / Line Top.

Turned out to not be a red herring.

:)

Turned out to not be a red herring.

:)

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here is the graph of an unusual 'function' (not sure if it even is exactly a function), that I've constructed when considering rhythm in yoyo tricks. I'll explain how to build it completely if it's useful, but loosely it's based on f(x)=xsinx.

(yoyo line top. / knot theory)

(yoyo line top. / knot theory)

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the function is y=f(a(x)), with f and a defined in a very convoluted manner... probably not a function - well just looking at it, there appear to be squares etc. so more than one y value to one x value.

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My 'Finite Line Topology' idea - my effort to formalise yoyo tricks mathematically, though giving rise to some interesting (well, I let you decide) string configurations/mounts, was a red herring. It turns out there is an isomorphism between my theory's model and that of topology and specifically Knot Theory; this means I only need to study Knot Theory from now on to construct tricks.

Oh well. Guess I go back to reading Erika Flapan's work.

Oh well. Guess I go back to reading Erika Flapan's work.

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Operations with vectors: To calculate the product of 24 × 33 mod 41 will engrave the lines joining the element 1 with the elements 24 and 33. From the same elements will engrave parallel to these lines. These are joined to the result 13.

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Help me out please :'(

How to calculate/find Sine and Cosine ratios of a Right angle triangle in first quadrant of a unit circle?

How to calculate/find Sine and Cosine ratios of a Right angle triangle in first quadrant of a unit circle?

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72degrees also has an exact formula. I think it involves the square root of 5.

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Multi-Knapsack Model of Collaborative Portfolio Configurations in Multi-Strategy Oriented

Aiming at constructing the multi-knapsack model of collaborative portfolio configurations in multi-strategy oriented, the hybrid evolutionary algorithm was designed based on greedy method, combining with the organization of the multiple strategical guidance and multi-knapsack model. Furthermore, the organizing resource utility and risk management of portfolio were considered. The experiments were conducted on three main technological markets whic...

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