> Math Latte > > Math Latte > Branch blogs: > > Sprint@Logic Computability & Randomness > Sprint@fuzzy math > > > === > Math Fry Blog (q_math) on Twitter > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 2 upvotes by Vikas Kumar Pandey and Julie Prentice > > George Gonzalez's answer to Why do typical (commercial) resistors have weird a value? > 1 May. > > The Euler comic book > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Vikas Kumar Pandey, Jigyasu Juneja, and Julie Prentice > > Leonhard Euler - Ein Mann, mit dem man rechnen kann > PS: Letters to a german princess : Page on um.edu.mt > 21 Feb. > > No you can't check convexity efficiently but > Sameer Gupta, I * I^{-1} won't give a monad > 8 upvotes by Rashid Mansoor, Nihal Balani, Mohit Bakshi, Julie Prentice, Sugavanesh Balasubramanian, Guy Baruch, Gautam Kumar, and Jason Azghani > > A function in which variables are raised to integral exponents, such as 13x^4 + 7xy^2 + yz — determining whether it’s convex is what’s called NP-hard. That means that the most powerful computers in the world couldn’t provide an answer in a reasonable amount of time. > But Parrilo and Ahmadi also proved that, for polynomial functions with few variables or small exponents, convexity is the same thing as sum-of-squares convexity, which is easy to check. (“Sum of squares” just means that a polynomial, like x^2-2xy+y^2+z^2, can be rewritten as the sum of expressions raised to the power of two — in this case, (x-y)^2+z^2. > http://web.mit.edu/newsoffice/20... > 23 Mar, 2013. > Comments: > > Gödel and Primitive Recursion :wow > Sameer Gupta, I * I^{-1} won't give a monad > 2 upvotes by Rashid Mansoor and Julie Prentice > > The basic trick to incompleteness is that we're going to use the numerical encoding of statements to say that a predicate or relation is represented by a number. Then we're going to write predicates about predicates by defining predicates on the numerical representations of the first-order predicates. That's going to let us create a true statement in the logic that can't be proven with the logic. > Defining Properties Arithmetically (part 1): Gödel and Primitive Recursion > 13 Feb, 2013. > Comments: > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 4 upvotes by Srinivas Subramanian, Vikram Jha, Ankit Patil, and Julie Prentice > > > Ramanujan died before he could prove his hunch. But more than 90 years later, Ken Ono and his team proved that these functions indeed mimicked modular forms, but don't share their defining characteristics, such as super-symmetry. > > > > > It was on his deathbed in 1920 that he described mysterious functions that mimicked theta functions, or modular forms, in a letter to Hardy. Like trigonometric functions such as sine and cosine, theta functions have a repeating pattern, but the pattern is much more complex and subtle than a simple sine curve. Theta functions are also "super-symmetric," meaning that if a specific type of mathematical function called a Moebius transformation is applied to the functions, they turn into themselves. Because they are so symmetric these theta functions are useful in many types of mathematics and physics, including string theory. > Ramanujan believed that 17 new functions he discovered were "mock modular forms" that looked like theta functions when written out as an infinite sum (their coefficients get large in the same way), but weren't super-symmetric > > Mathematician's Century-Old Secrets Unlocked > 30 Dec, 2012. > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Srinivas Subramanian, Vikram Jha, and Julie Prentice > > How many leaves on a tree > http://www.wired.com/wiredscienc... > 25 Dec, 2012. > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Sugavanesh Balasubramanian, Srinivas Subramanian, and Julie Prentice > > 125th birthday of one of the world's best mathematicians-Srinivasa Ramanujan, an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. > 22 Dec, 2012. > Comments: > > > Sugavanesh Balasubramanian > > You missed 'FRS' from the wikipedia line :) > 22 Dec, 2012 > > > Sameer Gupta > > actually meghbalika ghosh is the source > > > > 22 Dec, 2012 > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Manan Shah, Vijayakumar Ramdoss, and Julie Prentice > > Toby Thain's answer to How can solving a Rubik's Cube be framed as a graph problem? > 28 Nov, 2012. > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Rashid Mansoor, Vijayakumar Ramdoss, and Julie Prentice > > xkcd-style graphs > > xkcd-style graphs > > mathematica.stackexchange.com — Mostly thanks to Belisarius's elegant wrapping, you can do h[fun_, divisor_, color_, at_] := Module[{k}, k = BSplineFunction[Table[fun@x + Rando... > > B > > I > > U > > H > > > > > > > > > > @ > > > > Comments: > > > Rashid Mansoor > > That's amazing! > 5 Oct, 2012 > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Hanif Jetha, Vijayakumar Ramdoss, and Julie Prentice > > > Probability and Statistics Cookbook > > matthias.vallentin.net — Probability and Statistics Cookbook The cookbook contains a succinct representation of various topics in probability theory and statistics. > > B > > I > > U > > H > > > > > > > > > > @ > > > ... [Message clipped] View entire message raemes Sep 27 to 48cew8k7d2y > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 2 upvotes by Vikas Kumar Pandey and Julie Prentice > > George Gonzalez's answer to Why do typical (commercial) resistors have weird a value? > 1 May. > > The Euler comic book > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Vikas Kumar Pandey, Jigyasu Juneja, and Julie Prentice > > Leonhard Euler - Ein Mann, mit dem man rechnen kann > PS: Letters to a german princess : Page on um.edu.mt > 21 Feb. > > No you can't check convexity efficiently but > Sameer Gupta, I * I^{-1} won't give a monad > 8 upvotes by Rashid Mansoor, Nihal Balani, Mohit Bakshi, Julie Prentice, Sugavanesh Balasubramanian, Guy Baruch, Gautam Kumar, and Jason Azghani > > A function in which variables are raised to integral exponents, such as 13x^4 + 7xy^2 + yz — determining whether it’s convex is what’s called NP-hard. That means that the most powerful computers in the world couldn’t provide an answer in a reasonable amount of time. > But Parrilo and Ahmadi also proved that, for polynomial functions with few variables or small exponents, convexity is the same thing as sum-of-squares convexity, which is easy to check. (“Sum of squares” just means that a polynomial, like x^2-2xy+y^2+z^2, can be rewritten as the sum of expressions raised to the power of two — in this case, (x-y)^2+z^2. > http://web.mit.edu/newsoffice/20... > 23 Mar, 2013. > Comments: > > Gödel and Primitive Recursion :wow > Sameer Gupta, I * I^{-1} won't give a monad > 2 upvotes by Rashid Mansoor and Julie Prentice > > The basic trick to incompleteness is that we're going to use the numerical encoding of statements to say that a predicate or relation is represented by a number. Then we're going to write predicates about predicates by defining predicates on the numerical representations of the first-order predicates. That's going to let us create a true statement in the logic that can't be proven with the logic. > Defining Properties Arithmetically (part 1): Gödel and Primitive Recursion > 13 Feb, 2013. > Comments: > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 4 upvotes by Srinivas Subramanian, Vikram Jha, Ankit Patil, and Julie Prentice > > > Ramanujan died before he could prove his hunch. But more than 90 years later, Ken Ono and his team proved that these functions indeed mimicked modular forms, but don't share their defining characteristics, such as super-symmetry. > > > > > It was on his deathbed in 1920 that he described mysterious functions that mimicked theta functions, or modular forms, in a letter to Hardy. Like trigonometric functions such as sine and cosine, theta functions have a repeating pattern, but the pattern is much more complex and subtle than a simple sine curve. Theta functions are also "super-symmetric," meaning that if a specific type of mathematical function called a Moebius transformation is applied to the functions, they turn into themselves. Because they are so symmetric these theta functions are useful in many types of mathematics and physics, including string theory. > Ramanujan believed that 17 new functions he discovered were "mock modular forms" that looked like theta functions when written out as an infinite sum (their coefficients get large in the same way), but weren't super-symmetric > > Mathematician's Century-Old Secrets Unlocked > 30 Dec, 2012. > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Srinivas Subramanian, Vikram Jha, and Julie Prentice > > How many leaves on a tree > http://www.wired.com/wiredscienc... > 25 Dec, 2012. > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Sugavanesh Balasubramanian, Srinivas Subramanian, and Julie Prentice > > 125th birthday of one of the world's best mathematicians-Srinivasa Ramanujan, an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. > 22 Dec, 2012. > Comments: > > > Sugavanesh Balasubramanian > > You missed 'FRS' from the wikipedia line :) > 22 Dec, 2012 > > > Sameer Gupta > > actually meghbalika ghosh is the source > > > > 22 Dec, 2012 > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Manan Shah, Vijayakumar Ramdoss, and Julie Prentice > > Toby Thain's answer to How can solving a Rubik's Cube be framed as a graph problem? > 28 Nov, 2012. > Comments: > > > Vijayakumar Ramdoss > > I have gone thru book its good one. > 18 Sep, 2012 > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Samuel Martha, Vijayakumar Ramdoss, and Julie Prentice > > Rule of 72: An investment at n% interest will double in 72/n years > 13 Sep, 2012. > Comments: > > > Samuel Martha > > I didn't get it. Can you please explain? > 14 Sep, 2012 > > > Sameer Gupta > > In finance, the rule of 72, the rule of 70 and the rule of 69 are methods for estimating an investment's doubling time. The rule number is divided by the interest percentage per period to obtain the approximate number of periods (usually years) required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.[1] > These rules apply to exponential growth and are therefore used for compound interest as opposed to simple interest calculations. They can also be used for decay to obtain a halving time. The choice of number is mostly a matter of preference, 69 is more accurate for continuous compounding, while 72 works well in common interest situations and is more easily divisible. > http://en.wikipedia.org/wiki/Rul... > > > > 14 Sep, 2012 > > Post > Sameer Gupta, I * I^{-1} won't give a monad > 3 upvotes by Changqi Cai, Sugavanesh Balasubramanian, and Julie Prentice > > > Solving It Like A Mathematician > > peterrowlett.net — 'Solving it like a mathematician 2012' was a stall at the Big Bang East Midlands STEM Festival on 28th June 2012. >