Ads
related to: sum of multiple powers worksheet 5th class answers free- Packets
Perfect for independent work!
Browse our fun activity packs.
- Assessment
Creative ways to see what students
know & help them with new concepts.
- Free Resources
Download printables for any topic
at no cost to you. See what's free!
- Lessons
Powerpoints, pdfs, and more to
support your classroom instruction.
- Packets
Search results
Results from the WOW.Com Content Network
In mathematics and statistics, sums of powers occur in a number of contexts: . Sums of squares arise in many contexts. For example, in geometry, the Pythagorean theorem involves the sum of two squares; in number theory, there are Legendre's three-square theorem and Jacobi's four-square theorem; and in statistics, the analysis of variance involves summing the squares of quantities.
In 1966, a counterexample to Euler's sum of powers conjecture was found by Leon J. Lander and Thomas R. Parkin for k = 5: [1] 27 5 + 84 5 + 110 5 + 133 5 = 144 5. In subsequent years, further counterexamples were found, including for k = 4. The latter disproved the more specific Euler quartic conjecture, namely that a 4 + b 4 + c 4 = d 4 has no ...
Jaroslaw Wroblewski, Equal Sums of Like Powers; Ed Pegg Jr., Math Games, Power Sums; James Waldby, A Table of Fifth Powers equal to a Fifth Power (2009) R. Gerbicz, J.-C. Meyrignac, U. Beckert, All solutions of the Diophantine equation a 6 + b 6 = c 6 + d 6 + e 6 + f 6 + g 6 for a,b,c,d,e,f,g < 250000 found with a distributed Boinc project
Faulhaber also knew that if a sum for an odd power is given by = + = + + + + then the sum for the even power just below is given by = = + + (+ + + (+)). Note that the polynomial in parentheses is the derivative of the polynomial above with respect to a .
Fermat polygonal number theorem, that every positive integer is a sum of at most n of the n-gonal numbers; Waring–Goldbach problem, the problem of representing numbers as sums of powers of primes; Subset sum problem, an algorithmic problem that can be used to find the shortest representation of a given number as a sum of powers; Pollock's ...
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
Ads
related to: sum of multiple powers worksheet 5th class answers free