Gaussian Prime

RNT2.4. Gaussian Primes

Order: Reorder
Duration: 22:31
Updated: 26 Jun 2013

Ring Theory: As an application of all previous ideas on rings, we determine the primes in the Euclidean domain of Gaussian integers Z[i]. Not only is the ans...

http://wn.com/RNT24_Gaussian_Primes

Gaussian Prime Spirals

Order: Reorder
Duration: 0:13
Updated: 27 Sep 2013

http://demonstrations.wolfram.com/GaussianPrimeSpirals The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Start a loop with a point having integer coordinates in the complex plane (called a Gaussian integer) and trace a path as follows: ? Move right until a Gaussian prime p is encountered, then turn left 90. ? Continue, always moving straight in the curren... Contributed by: Joseph O'Rourke and Stan Wagon Audio created with WolframTones: http://tones.wolfram.com

http://wn.com/Gaussian_Prime_Spirals

Gaussian Primes

Order: Reorder
Duration: 0:20
Updated: 16 Feb 2010

http://demonstrations.wolfram.com/GaussianPrimes/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries ...

http://wn.com/Gaussian_Primes

Factoring Gaussian Integers

Order: Reorder
Duration: 0:12
Updated: 01 Nov 2012

http://demonstrations.wolfram.com/FactoringGaussianIntegers The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with ne...

http://wn.com/Factoring_Gaussian_Integers

RNT2.3.1. Euclidean Algorithm for Gaussian Integers

Order: Reorder
Duration: 6:39
Updated: 17 Aug 2013

Ring Theory: We use the Euclidean algorithm to find the GCD of the Gaussian integers 11+16i and 10+11i. Then we solve for the coefficients in Bezout's identi...

http://wn.com/RNT231_Euclidean_Algorithm_for_Gaussian_Integers

Patterns for Functions on the Gaussian Integers

Order: Reorder
Duration: 0:16
Updated: 26 May 2012

http://demonstrations.wolfram.com/PatternsForFunctionsOnTheGaussianIntegers/ The Wolfram Demonstrations Project contains thousands of free interactive visual...

http://wn.com/Patterns_for_Functions_on_the_Gaussian_Integers

Gaussian Loop

Order: Reorder
Duration: 0:14
Updated: 15 Aug 2013

I suppose there's no way to make this into a perpetual motion? Damn you thermodynamics!

http://wn.com/Gaussian_Loop

How the Primes Are Distributed

Order: Reorder
Duration: 0:17
Updated: 17 May 2012

http://demonstrations.wolfram.com/HowThePrimesAreDistributed The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with n...

http://wn.com/How_the_Primes_Are_Distributed

Gaussian Divisors of an Integer

Order: Reorder
Duration: 0:16
Updated: 08 Jul 2010

http://demonstrations.wolfram.com/GaussianDivisorsOfAnInteger/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with...

http://wn.com/Gaussian_Divisors_of_an_Integer

FIT2.3.3. Algebraic Extensions

Order: Reorder
Duration: 16:13
Updated: 17 Aug 2013

Field Theory: We define an algebraic extension of a field F and show that successive algebraic extensions are also algebraic. This gives a useful criterion f...

http://wn.com/FIT233_Algebraic_Extensions

Sieve of Eratothenes

Order: Reorder
Duration: 13:02
Updated: 01 Jul 2012

สมาชิกกลุ่ม 19 5330149521 น.ส.ณัฐรัตน์ แช่มปรีดา 5330345121 นายภัทรศัย มากเพ็ง 5330365721 นายมหัทธนา น้อมสวัสดิ์ 5331046721 น.ส.แพรวพิสุทธื์ ศรีอยู่พุ่ม.

http://wn.com/Sieve_of_Eratothenes

Do you have gauss?

Order: Reorder
Duration: 6:30
Updated: 26 Jul 2012

Gauss it the Bl in sub specs it means the magnetic push or pull of a magnet. These Subs have a large amount of Bl. Anyways the case here is magnet fun with the ape. Ignore the law and order in the background i love it. A must see vid if you like magnets. rate comment subscribe

http://wn.com/Do_you_have_gauss?

Gauss Jordan Elimination determines year 1 pop from year 2 pop given a Leslie Diagram %28Part 2%29

Order: Reorder
Duration: 9:06
Updated: 13 Jun 2013

http://wn.com/Gauss_Jordan_Elimination_determines_year_1_pop_from_year_2_pop_given_a_Leslie_Diagram_28Part_2_29

RNT2.3. Euclidean Domains

Order: Reorder
Duration: 20:26
Updated: 17 Aug 2013

Ring Theory: We define Euclidean domains as integral domains with a division algorithm. We show that euclidean domains are PIDs and UFDs, and that Euclidean ...

http://wn.com/RNT23_Euclidean_Domains

Hyperbolic Distribution

Order: Reorder
Duration: 0:29
Updated: 27 Sep 2013

http://demonstrations.wolfram.com/HyperbolicDistribution The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. In this Demonstration we visualize the probability density function of the hyperbolic distribution, which has parameters ? (location), ? (tail), ? (asymmetry), and ? (scale). These are all real-valued, with the additional constraint that ? gt TemplateBox[{... Contributed by: Peter Falloon Audio created with WolframTones: http://tones.wolfram.com

http://wn.com/Hyperbolic_Distribution

Spring in Field of Two Magnets

Order: Reorder
Duration: 0:29
Updated: 27 Sep 2013

http://demonstrations.wolfram.com/SpringInFieldOfTwoMagnets The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows the solution for the following system. An iron mass is constrained to slide on the x axis. The mass is attached to a spring anchored above the x axis and subject to an external force with amplitude b (red arrow), conforming to H... Contributed by: Enrique Zeleny Audio created with WolframTones: http://tones.wolfram.com

http://wn.com/Spring_in_Field_of_Two_Magnets

Transient Cooling of a Sphere

Order: Reorder
Duration: 0:17
Updated: 27 Sep 2013

http://demonstrations.wolfram.com/TransientCoolingOfASphere The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This Demonstration shows transient heat conduction in a sphere of radius r_0. At time t lt 0, the sphere is held at a uniform temperature T_i. At time t=0, the sphere is immersed in a well-mixed cooling bath at temperature T_?. The sphere loses heat from i... Contributed by: Housam Binous and Brian G. Higgins Audio created with WolframTones: http://tones.wolfram.com

http://wn.com/Transient_Cooling_of_a_Sphere

Linearized Solution for a Mass Attached to Two Springs

Order: Reorder
Duration: 0:37
Updated: 27 Sep 2013

http://demonstrations.wolfram.com/LinearizedSolutionForAMassAttachedToTwoSprings The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. This simple nonlinear system is composed of a mass m attached to two identical springs with spring constant k. The lengths of the springs are L in the equilibrium position and L+h under tension. The mass is restricted to move in the x direction without ... Contributed by: Enrique Zeleny Audio created with WolframTones: http://tones.wolfram.com

http://wn.com/Linearized_Solution_for_a_Mass_Attached_to_Two_Springs

Gaussian Elimination over GF(2)

Order: Reorder
Duration: 0:25
Updated: 13 Dec 2012

I animated the Gaussian Elimination step from my quadratic sieve program.

http://wn.com/Gaussian_Elimination_over_GF2

rnt2

Order: Reorder
Duration: 0:24
Updated: 16 Sep 2012

http://wn.com/rnt2

g09 4

Order: Reorder
Duration: 0:22
Updated: 29 Jun 2011

http://wn.com/g09_4

Remainders of Square Numbers

Order: Reorder
Duration: 10:11
Updated: 10 May 2013

This is the second of a sequence of videos leading to the celebrated law of quadratic reciprocity and beyond. This segment generalizes the results from the p...

http://wn.com/Remainders_of_Square_Numbers