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Chris' Math Blog

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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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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Chris' Math Blog | phdmath.wordpress.com Reviews

https://phdmath.wordpress.com

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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1

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).

2

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:.

3

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.

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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...

5

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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Alex Youcis « Abstract Nonsense

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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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2012 October 07 « Abstract Nonsense

https://drexel28.wordpress.com/2012/10/07

Crushing one theorem at a time. How to Interpret “References”. Meromorphic Functions on the Riemann Sphere (Pt. II). This is a continuation of this post. Continue reading →. October 7, 2012. Posted by Alex Youcis. 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!

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

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

Crushing one theorem at a time. How to Interpret “References”. Meromorphic Functions on the Riemann Sphere (Pt. II). This is a continuation of this post. Now, I want to use this nice characterization of. To make an interesting observation. In particular, take. Ok, now by definition if. Is not a zero or a pole of. And by almost definition we see that. Thus, the only point left to check is. Now, we merely check that with the standard chart. Now, it’s evident then that. Has a singuliarity of order. New York...

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How to Interpret “References” « Abstract Nonsense

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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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Qualifying Exams « Abstract Nonsense

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Crushing one theorem at a time. How to Interpret “References”. Having most of my friends being in graduate school, I am exposed to quals a lot. In particular, in helping them study I have found myself taking a lot of quals. Considering I write most of the quals down, I thought it would be useful to put them here on my blog for anyone interested. Please feel free to contact with me comments, questions, or corrections. Maryland Algebra Quals (Last Updated: 5/12/2012). 8 Comments ». September 11, 2011 Reply.

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An Update « Abstract Nonsense

https://drexel28.wordpress.com/2014/03/12/and-update

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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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...

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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.

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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&#...

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Chris' Math Blog

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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Professor of Mathematics, Evening Assistant Chair. Department of Mathematics and Computer Science. Glendale Community College, Glendale, AZ 85302. Email: phong.chau@gccaz.edu. Welcome students to my homepage. To access the course information, click on the "teaching" tab on the left. Student Math League Competition.

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