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April 16, 2016. Imagine we had a class with. Students and each week they hand in a sheet of homework. Now, you choose a set of. Of them at random and correct only those. At the end, the grade assigned to a student is the average among all of his homework sheets that you corrected. How many weeks does it take for every student to have a grade? I came up with this question because I have implemented such a system and I wanted to choose. Wisely as to have a grade for each student every. To get a new one.

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Paulrs' Blog | paulrs.wordpress.com Reviews

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April 16, 2016. Imagine we had a class with. Students and each week they hand in a sheet of homework. Now, you choose a set of. Of them at random and correct only those. At the end, the grade assigned to a student is the average among all of his homework sheets that you corrected. How many weeks does it take for every student to have a grade? I came up with this question because I have implemented such a system and I wanted to choose. Wisely as to have a grade for each student every. To get a new one.

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Paulrs' Blog | paulrs.wordpress.com Reviews

https://paulrs.wordpress.com

April 16, 2016. Imagine we had a class with. Students and each week they hand in a sheet of homework. Now, you choose a set of. Of them at random and correct only those. At the end, the grade assigned to a student is the average among all of his homework sheets that you corrected. How many weeks does it take for every student to have a grade? I came up with this question because I have implemented such a system and I wanted to choose. Wisely as to have a grade for each student every. To get a new one.

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paulrs.wordpress.com

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PaulRS | Paulrs' Blog

https://paulrs.wordpress.com/author/paulrs

Generating a random variable by coin tossing. March 4, 2017. 1 Coin tossing Suppose we are given a sequence of independent fair bits (meaning take and with probabily ) we want to produce with them a discrete random variable that takes the values with probabilities . The objective, of course, … Continue reading →. April 16, 2016. September 19, 2015. June 6, 2015. The fast decay of the gamma function. December 21, 2014. December 15, 2014. Let us define by and , and extend it to a homomorphism of by . L...

2

Riemann-Lebesgue | Paulrs' Blog

https://paulrs.wordpress.com/2015/09/19/riemann-lebesgue

Grading a class →. September 19, 2015. The purpose of this post is to discuss the Riemann-Lebesgue Lemma, why it makes sense, and some interesting applications among which we have. The proof of which, in my opinion, explains a lot more clearly why it should equal. Recently I have grown quite fond of the Riemann-Lebesgue Lemma, the Fourier Transform and Fourier Series, through studying Tauberian Theorems in Analytic Number Theory, and Partial Differential Equations. The Riemann-Lebesgue lemma states that.

3

The Fibonacci Word | Paulrs' Blog

https://paulrs.wordpress.com/2014/12/15/the-fibonacci-word

The fast decay of the gamma function →. December 15, 2014. And extend it to a homomorphism of. Let us note that. Something very interesting is going on, each. Seems to be a prefix of. We will see that this is indeed the case. It is clear that. This implies that the digits converge pointwise to those of. And we shall call. It should be noted that the origin of the name is motivated by the fact that. Which mimicks the definition of the Fibonacci numbers. It is clear that. Is recurrent, indeed because if.

4

The fast decay of the gamma function | Paulrs' Blog

https://paulrs.wordpress.com/2014/12/21/the-fast-decay-of-the-gamma-function

Higher order Newton-Raphson →. The fast decay of the gamma function. December 21, 2014. The purpose of this post is to discuss the fast decay of the gamma function. Along the imaginary axis. This is an interesting topic, as it is not usually discussed, we are generally more interested in the increase of the gamma function on the positive real axis, because there we have. And we thus get the asymptotic behaviour of the factorials. As it is well-known (see [1]. We have a generalised Stirling’s formula.

5

Resources online | Paulrs' Blog

https://paulrs.wordpress.com/online-resources

Books and Lecture Notes. 8211; P. Flajolet, R. Sedgewick. Analytic Combinatorics in several variables. 8211; R. Permantle, M. Wilson. 8211; M. Petrovsek, H. Wilf, D. Zeilberger. Calcul mathématique avec Sage. 8211; Many authors…. Elementary Topology: Textbook in problems. 8211; O.Y.Viro, V.M.Kharlamov, N.Y.Netsevetaev. See the online abridged version. Elements of Markov Chains and Random Walks. 8211; T. Konstantopoulos. 8211; C. Walkden. Lecture Notes, University of Manchester. 8211; H. Wilf. You are com...

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phdmath.wordpress.com

2010 February « Chris' Math Blog

https://phdmath.wordpress.com/2010/02

Chris' Math Blog. Arc Length in Different Coordinate Systems. This post will deal with converting the arc length formulas in two and three dimensions from rectangular coordinates to polar (2-D), cylindrical (3-D) and spherical (3-D) coordinates. We define the arc length of a function. If we define a parametric function. Substituting this into the arc length formula yields. Getting a common denominator gives us. In polar coordinates, we know that. Then we observe that. We start from this step:. We now can...

phdmath.wordpress.com

About Me « Chris' Math Blog

https://phdmath.wordpress.com/about-me

Chris' Math Blog. My name is Christopher Toni, and I’m currently a Senior at Northeastern Illinois University. My passion is mathematics but it was not always like this. As I was growing up, I faced many challenges: no mother, no father, no confidence in myself because of how I was treated by others in school, etc. It was my grandmother who helped me overcome these difficulties and gave me hope to pursue my dreams and goals. Leave a Reply Cancel reply. Enter your comment here. Address never made public).

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2010 February 12 « Chris' Math Blog

https://phdmath.wordpress.com/2010/02/12

Chris' Math Blog. February 12, 2010. One Dimensional Wave Equation. Q: Find the general solution to the boundary value problem for the 1-D Wave Equation:. Is the displacement function of a vibrating string with fixed ends,. Is the initial position function, and. Is the initial velocity function. Solution: The best way to solve this would be to set up two boundary value problems [where each one has one nonhomogeneous condition], and then solve the problems using the technique of Separation of Variables:.

phdmath.wordpress.com

Testing LaTeX « Chris' Math Blog

https://phdmath.wordpress.com/2010/02/12/testing-latex

Chris' Math Blog. February 12, 2010. Leave a Reply Cancel reply. Enter your comment here. Please log in using one of these methods to post your comment:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. You are commenting using your Google account. ( Log Out. Notify me of new comments via email. Notify me of new posts via email.

phdmath.wordpress.com

2010 February 24 « Chris' Math Blog

https://phdmath.wordpress.com/2010/02/24

Chris' Math Blog. Arc Length in Different Coordinate Systems. This post will deal with converting the arc length formulas in two and three dimensions from rectangular coordinates to polar (2-D), cylindrical (3-D) and spherical (3-D) coordinates. We define the arc length of a function. If we define a parametric function. Substituting this into the arc length formula yields. Getting a common denominator gives us. In polar coordinates, we know that. Then we observe that. We start from this step:. We now can...

phdmath.wordpress.com

One Dimensional Wave Equation « Chris' Math Blog

https://phdmath.wordpress.com/2010/02/12/1dwaveeq

Chris' Math Blog. One Dimensional Wave Equation. Q: Find the general solution to the boundary value problem for the 1-D Wave Equation:. Is the displacement function of a vibrating string with fixed ends,. Is the initial position function, and. Is the initial velocity function. Solution: The best way to solve this would be to set up two boundary value problems [where each one has one nonhomogeneous condition], and then solve the problems using the technique of Separation of Variables:. Then the PDE becomes.

phdmath.wordpress.com

phdmath « Chris' Math Blog

https://phdmath.wordpress.com/author/phdmath

Chris' Math Blog. Arc Length in Different Coordinate Systems. This post will deal with converting the arc length formulas in two and three dimensions from rectangular coordinates to polar (2-D), cylindrical (3-D) and spherical (3-D) coordinates. We define the arc length of a function. If we define a parametric function. Substituting this into the arc length formula yields. Getting a common denominator gives us. In polar coordinates, we know that. Then we observe that. We start from this step:. We now can...

phdmath.wordpress.com

Arc Length in Different Coordinate Systems « Chris' Math Blog

https://phdmath.wordpress.com/2010/02/24/arc-length-2

Chris' Math Blog. Arc Length in Different Coordinate Systems. This post will deal with converting the arc length formulas in two and three dimensions from rectangular coordinates to polar (2-D), cylindrical (3-D) and spherical (3-D) coordinates. We define the arc length of a function. If we define a parametric function. Substituting this into the arc length formula yields. Getting a common denominator gives us. In polar coordinates, we know that. Then we observe that. We start from this step:. We now can...

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Paulrs' Blog

April 16, 2016. Imagine we had a class with. Students and each week they hand in a sheet of homework. Now, you choose a set of. Of them at random and correct only those. At the end, the grade assigned to a student is the average among all of his homework sheets that you corrected. How many weeks does it take for every student to have a grade? I came up with this question because I have implemented such a system and I wanted to choose. Wisely as to have a grade for each student every. To get a new one.

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