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Bedtime mathematics – Mathematics that is slept on…

Mathematics that is slept on...

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Bedtime mathematics – Mathematics that is slept on… | mymbl.wordpress.com Reviews

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q-binomials – Bedtime mathematics

https://mymbl.wordpress.com/2011/09/17/q-binomials

Mathematics that is slept on…. What to expect in here. September 17, 2011. The binomial like coefficients that we saw in earlier posts:. 8211; binomial coefficients. In keeping with the existing convention we will use. As the indeterminate instead of. It was established in an earlier post that:. Using this identity we may reduce the. We also made use of the identity:. In the above equation, we get. We now discuss a few consequences of the above identities:. For any natural number. Is a prime,. You are co...

2

What to expect in here – Bedtime mathematics

https://mymbl.wordpress.com/what

Mathematics that is slept on…. What to expect in here. What to expect in here. Mostly expository posts on variety of topics math I study or a problem I slept on last night. Stuff I would like to clarify for myself and may be of independent interest to others as well. 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. Notify me of new comments via email.

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a result concerning cyclotomic polynomials – Bedtime mathematics

https://mymbl.wordpress.com/2011/04/24/a-result-concerning-cyclotomic-polymials

Mathematics that is slept on…. What to expect in here. A result concerning cyclotomic polynomials. April 24, 2011. August 15, 2011. In this post we record a useful result concerning cyclotomic polynomials. This will help us prove what is claimed in this post. For distinct positive integers. The GCD of the values of cyclotomic polynomials. On the other hand, if. We will start by proving that the gcd. Is a prime power. Let. And assume to the contrary that. The values of cyclotomic polynomials. Is a power of.

4

arc length – Bedtime mathematics

https://mymbl.wordpress.com/2015/04/23/real-worldish

Mathematics that is slept on…. What to expect in here. April 23, 2015. April 17, 2016. In this post we look at an algorithm to compute arc lengths of a differentiable curve. First lets recall the definitions:. Be a the curve parametrized by. Try this in wolfram alpha for example:. Integrate[Sqrt[1 x 2 x 2 x 5], x]. This is a tractable problem and definitely can be evaluated for polynomial curves but it is way off the result. Lets us see the connection between the two. Since we have come this far, let tak...

5

ponder problem now on last legs – Bedtime mathematics

https://mymbl.wordpress.com/2011/05/01/ponder-problem-now-on-last-legs

Mathematics that is slept on…. What to expect in here. Ponder problem now on last legs. May 1, 2011. May 1, 2011. This post culminates our efforts in solving the problem. Are positive integers with. And satisfying the following. For all positive integers. Is a power of. First recap a few facts from this post. We began by showing that:. And therefore by the lcm,. We however wanted a stronger divisibility condition that. Should be divisible by,. For then, the sequence,. Vanishes, showing that. On the probl...

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Notes | Concrete Nonsense

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Thanks for visiting my blog. The labels may help you to find possibly interesting articles. Do leave your comments if you feel so. Here I shall be uploading my. Notes More will be updated. Comments are welcome. I recently came across (in the Purdue Math library) very old notes distributed in conjunction with a lecture (series? Notes on the Hasse-Minkowski’s Theorem. Main source was J-P Serre’s. I have prepared a formula-list of the lecture notes on Fourier Series. Dirichlet’s Unit Theorem:. Algebra. ...

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Movies | Concrete Nonsense

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Thanks for visiting my blog. The labels may help you to find possibly interesting articles. Do leave your comments if you feel so. Movies to watch before you die. Not necessary in order of liking. Click to visit their IMDB page. The Man from Earth. A Little Secret.Their Biggest Adventure. Some memories are best forgotten. We, the People. At the edge of the world, his journey begins. His scars run deep. Lies Betrayal. Sacrifice. How far will you take it? The story of a lifetime. Are you watching closely?

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Jordan decomposition for finite groups | Concrete Nonsense

https://abhishekparab.wordpress.com/2014/02/21/jordan-decomposition-for-finite-groups

Thanks for visiting my blog. The labels may help you to find possibly interesting articles. Do leave your comments if you feel so. Jordan decomposition for finite groups. February 21, 2014 in GM.general-mathematics. Is a finite group and. Is a fixed prime. An element. Has order a power of. If it’s order is prime to. Can be uniquely written as. They are both powers of. The proof is really easy. Just replace. By the (finite) cyclic group generated by. Can be uniquely written as. They both commute and.

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Quotes | Concrete Nonsense

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Thanks for visiting my blog. The labels may help you to find possibly interesting articles. Do leave your comments if you feel so. Sometimes while browsing the net or in a conversation or even in a lecture, I come across a ‘one-liner’ that strikes me as insightful or witty. I copy or scribble them somewhere and every few months, upload on this page. I have seen God. He bats at number 4 for India. — Mathew Hayden (about Sachin Tendulkar. 8212; Leonhard Euler. The Sign of Four. 8212; Jerry Bona. It’s...

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November | 2010 | Gracious Living

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A Dialogue on Infinity. Bubbles Bad, Ripples Good. Godel's Lost Letter and P=NP. Good Math, Bad Math. Portrait of the Mathematician. What's New — Terry Tao. Compactness and the Heine-Borel Theorem. November 29, 2010, 20:57. Most of the topological work we’ve been doing has been in the area of constructing new topologies. We’re now ready to move on and look at their properties. We’re looking in particular for properties that are. Intrinsic to the topology. Attain both a minimum and a maximum, as opposed t...

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December | 2012 | Gracious Living

https://thetwomeatmeal.wordpress.com/2012/12

A Dialogue on Infinity. Bubbles Bad, Ripples Good. Godel's Lost Letter and P=NP. Good Math, Bad Math. Portrait of the Mathematician. What's New — Terry Tao. December 8, 2012, 17:31. I abandoned this little blog for a good period of time, and came back to find pending comments, so I guess people are still reading it. In case you’re curious or like what you’ve read, I’ll briefly say what’s been going on with me and what will happen to Gracious Living. Thank you all for reading and may our paths cross again!

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February | 2011 | Gracious Living

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A Dialogue on Infinity. Bubbles Bad, Ripples Good. Godel's Lost Letter and P=NP. Good Math, Bad Math. Portrait of the Mathematician. What's New — Terry Tao. Rings, Integral Domains, and Fields. February 2, 2011, 19:36. In which I sort of breeze through a couple of really awesome and really important concepts. Last time, we classified abelian groups. 8212; now we’ll see what happens if we require additional structure on the groups. In particular, I’m going to construct. Similarly to how the Peano axioms.

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Ideals: Numbers But Better | Gracious Living

https://thetwomeatmeal.wordpress.com/2011/03/08/ideals-numbers-but-better

A Dialogue on Infinity. Bubbles Bad, Ripples Good. Godel's Lost Letter and P=NP. Good Math, Bad Math. Portrait of the Mathematician. What's New — Terry Tao. Ideals: Numbers But Better. March 8, 2011, 14:27. I left you with a bit of a teaser. Modern commutative algebra essentially arose in the early 19th century, under the guidance of mathematicians like Dedekind and Abel. As you’re probably aware, in. Is a number with no factors but itself and. Which we’ll call. Described in the last post, and seeing tha...

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Bedtime mathematics – Mathematics that is slept on…

Mathematics that is slept on…. What to expect in here. October 23, 2015. The strong convex hull property says that for a spline of degree , the convex hull of at most control points of a spline contains the point of a spline at parameter . Intersection methods can use this property to rule out certain interections. Union of a convex hulls of consecutive points completely encompass the … More sandwiching a spline. Tightly bounding a bspline. October 8, 2015. Tightly bounding a bspline. September 14, 2015.

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Ida Lahti Student Log | A Student blog about Game Design and Art.

Ida Lahti Student Log. A Student blog about Game Design and Art. Computer Graphics and Art. Scrap Pirates: The last week of production before GGC. May 28, 2015. May 28, 2015. It is one background with two foreground objects in order to be able to make a more advanced parallax than one simple image. This is not visible in the current version of the game, but we made most assets for the game with modularity and the future in mind. Scrap Pirates – Week 7. May 15, 2015. Due to health problems I’ve had ...

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Mymble's Closet

Sunday, July 24, 2011. Getting the dolls ready for the next window exhibition tomorrow. Feels absurd at the moment. Posted by Kristin Mathilde Lund. Sunday, June 26, 2011. Here are some snapshots from my holiday in the States. Beats Karl Johan every time. Brooklyn Bridge, NYC. Union Square, NYC. Greenwich Village, NYC. Posted by Kristin Mathilde Lund. Thursday, June 23, 2011. Http:/ www.opassadomecondena.com.br/2011/06/moda-segunda-mao-e-sustentabilidade-na.html. Posted by Kristin Mathilde Lund. Had to c...

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