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Abstract Nonsense

Crushing one theorem at a time

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Abstract Nonsense | drexel28.wordpress.com Reviews
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Crushing one theorem at a time
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2 about me
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9 complex analysis
10 riemann surfaces
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Abstract Nonsense | drexel28.wordpress.com Reviews

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Crushing one theorem at a time

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2014 March 12 « Abstract Nonsense

https://drexel28.wordpress.com/2014/03/12

Crushing one theorem at a time. How to Interpret “References”. Hey everyone. It’s been a fair bit of time since I last posted here. Since then, a lot of things have happened. Most relevant for this blog, I graduated UMD and started attending the University of California, Berkeley. I recently decided that I wanted to start blogging again. Instead of posting on Abstract Nonsense again, I thought I would start a new blog: Hard Arithmetic. If you are interested, you should come and take a look. March 12, 2014.

2

Meromorphic Functions on Riemann Surfaces (Pt. II) « Abstract Nonsense

https://drexel28.wordpress.com/2012/10/07/meromorphic-functions-on-riemann-surfaces-pt-ii

Crushing one theorem at a time. How to Interpret “References”. Meromorphic Functions on Riemann Surfaces (Pt. II). This is a continuation of this post. Be a Riemann surface and suppose that. We know then that for each chart. Thus, from basic complex analysis we can form the. Which is defined on a punctured disc. We then define the. As one would hope, despite the fact that the Laurent series of. Varies greatly depending on which chart one takes it relative to, the order of. Be a Riemann surface and. Let&#...

3

Meromorphic Functions on Riemann Surfaces (Pt. III) « Abstract Nonsense

https://drexel28.wordpress.com/2012/10/07/meromorphic-functions-on-riemann-surfaces-pt-iii

Crushing one theorem at a time. How to Interpret “References”. Meromorphic Functions on Riemann Surfaces (Pt. III). This is a continuation of this post. Meromorphic Functions as Functions to the Riemann Sphere. As promised, we now discuss how meromorphic functions on Riemann surfaces are the same thing as holomorphic functions from that surface to the Riemann sphere. Let’s start by assuming that we have a meromorphic function. Are the poles of. Define then the function. Is the constant function. New York...

4

Meromorphic Functions on the Riemann Sphere (Pt. I) « Abstract Nonsense

https://drexel28.wordpress.com/2012/10/07/meromorphic-functions-on-the-riemann-sphere-pt-i

Crushing one theorem at a time. How to Interpret “References”. Meromorphic Functions on the Riemann Sphere (Pt. I). In this post we classify the meromorphic functions on the Riemann sphere. If a random kid off the street asked you “what are the continuous functions. 8221; or “what are all the smooth maps. 8221;) is beyond comprehension in those cases! For example, it would take quite a bit of ingenuity to come up with something like the Blancmange function. Since we don’t really even have an algebr...

5

How to Interpret “References” « Abstract Nonsense

https://drexel28.wordpress.com/how-to-interpret-references

Crushing one theorem at a time. How to Interpret “References”. How to Interpret “References”. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. 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.

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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...

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me. | the dying love grape

https://dyinglovegrape.wordpress.com/me

The dying love grape. I’m James. I’m big into math. For more information, try my website. If I’ve made a mistake (extremely possible) just post and tell me and I’ll fix it up. For every typo you find, I’ll give you a warm smile and a polite nod. 8 Responses to “me.”. February 11, 2011 at 4:08 pm. You may be interested in the fact that zero behaves linguistically as a plural:. Http:/ wordconnections.wordpress.com/2011/02/11/save-0%C2%A2/. March 28, 2011 at 11:51 pm. March 29, 2011 at 4:08 am. Thanks a lot...

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Higher order Newton-Raphson | Paulrs' Blog

https://paulrs.wordpress.com/2015/06/06/higher-order-newton-raphson

The fast decay of the gamma function. June 6, 2015. In this post we shall see one way to look at the Newton–Raphson formula, and the extensions this produces. Actually, I came up with this idea a few years back, while I was studying for a Numerical Analysis exam. We are given a function. And we are interested in finding a root. Here we shall first assume that our function if at least. That is, it has continuous second derivatives. Exactly for the zeroes (or the. Then, we start at some point. The real tri...

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Paulrs' Blog | Page 2

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Newer posts →. August 14, 2014. A few days ago, Numberphile released a video. On YouTube about the famous Look-And-Say sequence, presented by John Conway himself. Just as a reminder (if you have not watched the video. Which I thoroughly recommend you do), this sequence begins as follows. And is produced by `reading out loud’ each sequence. For instance,. Reads as `one one’, and so the result is. In turn is read as `two ones’, and so we get. Then `one two, one one’ thus. Is the length of the run in decimal.

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Irreducible polynomials over Z_P | Paulrs' Blog

https://paulrs.wordpress.com/2012/12/05/irreducible-polynomials-over-z_p

An exercise on convergence in measure →. Irreducible polynomials over Z P. December 5, 2012. Okay, today we are going to talk about the number of irreducible polynomials of a given degree over. One of the main results will be the following. Be a prime number and let. Be the product of the monic irreducible polynomials of degree. We begin by noticing that if. Are monic and irreducible, then either. Be a splitting field of. We note that this polynomial has only simple roots over. Be a root of the. Next I a...

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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.

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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.

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Partitions and divisors | Paulrs' Blog

https://paulrs.wordpress.com/2014/11/08/partitions-and-divisors

The Fibonacci Word →. November 8, 2014. The number of partitions of a non-negative integer. Is, roughly speaking, the number of ways in which we can write. As a sum of positive integers disregarding the order of the terms, and we denote this number by. Formally speaking then, the fact that we do not care about the order of the terms translates into the fact that we may choose them to be ordered increasingly as follows. This is the set of partitions of. And we then define. For which we write. Now, the way...

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Grading a class | Paulrs' Blog

https://paulrs.wordpress.com/2016/04/16/grading-class

Generating a random variable by coin tossing →. 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. To get a new one.

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Friday, March 11, 2011. MEAL PLANS AT DREXEL. Thursday, March 10, 2011. MEAL PLANS AT DREXEL. MEAL PLANS AT DREXEL. Tuesday, March 8, 2011. Suggestions to Improve the Dining Plan. Since very few Drexel students are satisfied with the current Dinning Plan, some substantial changes need to be made, in order for the plan to better apply to the students’ needs. Second, the Dinning Dollars need to be transferred from one term to the other. According to the current policy you only obtain a 6% discount by using...

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Abstract Nonsense

Crushing one theorem at a time. How to Interpret “References”. Hey everyone. It’s been a fair bit of time since I last posted here. Since then, a lot of things have happened. Most relevant for this blog, I graduated UMD and started attending the University of California, Berkeley. I recently decided that I wanted to start blogging again. Instead of posting on Abstract Nonsense again, I thought I would start a new blog: Hard Arithmetic. If you are interested, you should come and take a look. March 12, 2014.

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