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- pstricks | planetmath.org

PDF pstricks Submitted by Wkbj79 on Tue 03 15 2016 02 34 Forums Planetary Bugs Another good book Permalink Submitted by akdevaraj on Sun 03 27 2016 04 49 Prime obsession by John Derbyshire it is on Riemann Hypothesis extremely readable Log in to post comments Search form Search Home Articles Questions Forums Planetary Bugs HS Secondary University Tertiary Graduate Advanced Industry Practice Research Topics LaTeX help Math Comptetitions Math

Original URL path: http://www.planetmath.org/node/88257 (2016-04-25)

Open archived version from archive - pstricks | planetmath.org

PDF pstricks Submitted by Wkbj79 on Tue 03 15 2016 02 34 Forums Planetary Bugs Another good book Permalink Submitted by akdevaraj on Sun 03 27 2016 04 49 Prime obsession by John Derbyshire it is on Riemann Hypothesis extremely readable Log in to post comments Search form Search Home Articles Questions Forums Planetary Bugs HS Secondary University Tertiary Graduate Advanced Industry Practice Research Topics LaTeX help Math Comptetitions Math

Original URL path: http://www.planetmath.org/comment/20014 (2016-04-25)

Open archived version from archive - Wkbj79 | planetmath.org

difference of two cubes field homomorphisms fix prime subfields fix formula for sequences satisfying second order recurrence relations formula for the convolution inverse of a completely multiplicative function fractional differentiation fractional part freshman s dream error Galois groups of finite abelian extensions of mathbb Q Galois is not transitive generator geodesic triangle getting Taylor series from differential equation goniometric formulas great circle Greek alphabet hexagon hexahedron hyperbolic group hyperbolic identities hyperbolic metric space ideal triangle if a n is irrational then a is irrational illustration of integration techniques illustration of why SSA may not prove congruence index of entries on compass and straightedge constructions indexing set integer part integrating tan x over 0 frac pi 2 integration of polynomial integration techniques inverse of composition of functions inverse statement inverses in rings irreducible polynomials obtained from biquadratic fields isomorphism of rings of real and complex matrices isosceles trapezoid isosceles triangle theorem keep flip change Lambert quadrilateral Lebesgue integral over a subset of the measure space left hand rule limit of displaystyle frac 1 cos x x as x approaches 0 limit of displaystyle frac a x 1 x as x approaches 0 limit of displaystyle frac sin x x as x approaches 0 limiting triangle linear pair list of common limits logarithmic proof of product rule logarithmic proof of quotient rule Lusin s theorem meromorphic extension midpoint rule minimal polynomial mnemonic device modes of convergence of sequences of measurable functions motivation for Euclidean domains motivation of definition of constructible numbers multiplicative function necessary and sufficient non commutative rings of order four non Euclidean geometry normal is not transitive notes on Greenberg s Euclidean and Non Euclidean Geometries notes on Greenberg s Euclidean and Non Euclidean Geometries number of nondistinct prime factors function opposite opposite group order of a ring ordered integral domain with well ordered positive elements paradox parallel lines in hyperbolic geometry partition partition perfect number permutation matrix permutation notation Poincar e disc model Poincar e upper half plane model point pointwise multiplication of a completely multiplicative function distibutes over convolution polygon polynomial pons asinorum power basis over mathbb Z prime ring primitive primitive element of biquadratic field principal ideal ring proof of AAA hyperbolic proof of alternating series test proof of Cantor s theorem proof of factor theorem proof of Fatou Lebesgue theorem proof of fundamental theorem of algebra Rouch e s theorem proof of norm and trace of algebraic number proof of parallelogram law proof of pigeonhole principle proof of prime ideal decomposition in quadratic extensions of mathbb Q proof of rational root theorem proof of the converse of Lagrange s theorem for finite cyclic groups proof of Zermelo s postulate proof that operatorname exp G divides G proof that operatorname Spec R is quasi compact proof that sqrt 2 is irrational proof that tau n is the number of positive divisors of n proof that g divides operatorname exp G proof that all cyclic groups are abelian proof that all cyclic groups of the same order are

Original URL path: http://www.planetmath.org/users/wkbj79 (2016-04-25)

Open archived version from archive - Finding approximate values of real roots equation. | planetmath.org

34 Forums Graduate Advanced Approximate values of real Permalink Submitted by RKJCHENNAI on Thu 02 11 2016 14 48 http rkmath yolasite com resources Roots 20sum 20and 20multiplication pdf Log in to post comments Deleting Permalink Submitted by akdevaraj on Mon 02 15 2016 11 45 How do we delete a message I clicked on edit then tried to delete but did not succeed Log in to post comments Search

Original URL path: http://www.planetmath.org/node/88256 (2016-04-25)

Open archived version from archive - Finding approximate values of real roots equation. | planetmath.org

34 Forums Graduate Advanced Approximate values of real Permalink Submitted by RKJCHENNAI on Thu 02 11 2016 14 48 http rkmath yolasite com resources Roots 20sum 20and 20multiplication pdf Log in to post comments Deleting Permalink Submitted by akdevaraj on Mon 02 15 2016 11 45 How do we delete a message I clicked on edit then tried to delete but did not succeed Log in to post comments Search

Original URL path: http://www.planetmath.org/comment/20012 (2016-04-25)

Open archived version from archive - An Indirect Primality Test | planetmath.org

program for a counter example If your argument is correct and I guess it is then it can provide an unprecedented efficient algorithm to test primality since any number can be written under the form x n m and it seems that your test is valid for this general case provided it is for x 2 1 Daniel Log in to post comments Re An Indirect Primality Test Permalink Submitted by dh2718 on Wed 05 27 2009 09 30 Forget the proof I got it As it happens many times I woke up this morning and eureka It is indeed self evident and I am not going to waste time searching for a counter example which doesn t exist now I am convinced Your test is a real achievement since it works for any polynom of the kind x n m Next week I am going to invest some time in trying to implement a computer algorithm The strategy would be for a given number P to test to find an exponent n such that P x n m and have a minimum of trials on x Any better idea Log in to post comments Re An Indirect Primality Test Permalink Submitted by akdevaraj on Sun 12 20 2009 15 21 Dear Daniel You must forgive me for replying to you so late the fact is I have not been visiting PM for about a year My first q Could you find a counter example Secondly I will be glad if you would try to comprehend failure function terminology In case you succeed then both of us would be talking the same language and so understanding each other would be much easier If required I would be only too happy to explain it Second q My old yahoo id got eaten up by a virus and so I am not able to automatically receive notices mail sent to me by PM members I tried to change my setting but could not what do you suggest Regards A K Devaraj Log in to post comments Re An Indirect Primality Test Permalink Submitted by dh2718 on Sun 12 20 2009 21 36 Dear Devaraj Apparently you didn t not see my last note about this subject I finally followed your idea using simple polynomial algebra and understood that you are right So I didn t waste time looking for a counter example which doesn t exist now I am convinced While I can understand that failure function theory provides shortcuts to prove many algebra theorems I think that I am too old to learn this subject I am retired and quite busy with other things I think that you should write an entry at PM on this subject for two reasons 1 The test in itself is absolutely remarkable 2 The use of a failure function to prove it shows the power of the theory Log in to post comments Re An Indirect Primality Test Permalink Submitted by akdevaraj on Thu 08

Original URL path: http://www.planetmath.org/node/22308 (2016-04-25)

Open archived version from archive - An Indirect Primality Test | planetmath.org

program for a counter example If your argument is correct and I guess it is then it can provide an unprecedented efficient algorithm to test primality since any number can be written under the form x n m and it seems that your test is valid for this general case provided it is for x 2 1 Daniel Log in to post comments Re An Indirect Primality Test Permalink Submitted by dh2718 on Wed 05 27 2009 09 30 Forget the proof I got it As it happens many times I woke up this morning and eureka It is indeed self evident and I am not going to waste time searching for a counter example which doesn t exist now I am convinced Your test is a real achievement since it works for any polynom of the kind x n m Next week I am going to invest some time in trying to implement a computer algorithm The strategy would be for a given number P to test to find an exponent n such that P x n m and have a minimum of trials on x Any better idea Log in to post comments Re An Indirect Primality Test Permalink Submitted by akdevaraj on Sun 12 20 2009 15 21 Dear Daniel You must forgive me for replying to you so late the fact is I have not been visiting PM for about a year My first q Could you find a counter example Secondly I will be glad if you would try to comprehend failure function terminology In case you succeed then both of us would be talking the same language and so understanding each other would be much easier If required I would be only too happy to explain it Second q My old yahoo id got eaten up by a virus and so I am not able to automatically receive notices mail sent to me by PM members I tried to change my setting but could not what do you suggest Regards A K Devaraj Log in to post comments Re An Indirect Primality Test Permalink Submitted by dh2718 on Sun 12 20 2009 21 36 Dear Devaraj Apparently you didn t not see my last note about this subject I finally followed your idea using simple polynomial algebra and understood that you are right So I didn t waste time looking for a counter example which doesn t exist now I am convinced While I can understand that failure function theory provides shortcuts to prove many algebra theorems I think that I am too old to learn this subject I am retired and quite busy with other things I think that you should write an entry at PM on this subject for two reasons 1 The test in itself is absolutely remarkable 2 The use of a failure function to prove it shows the power of the theory Log in to post comments Re An Indirect Primality Test Permalink Submitted by akdevaraj on Thu 08

Original URL path: http://www.planetmath.org/comment/20013 (2016-04-25)

Open archived version from archive - perucho | planetmath.org

transform of a Gaussian function motion of continuum oscillation of a function particle moving on a cardioid at constant frequency particle moving on the astroid at constant frequency phase parametrization in cos x p cos x Plemelj formulas proof of Abel lemma by expansion representation of real numbers Reynolds transport theorem Schwarz and Poisson formulas sequences b 2n 1 and b 2n 1 1 are divisible by b 1 spiral motion of a particle time dilatation of a volume element topics on vectors vector fields Lagrangian and Eulerian description vibrating string vibrating string with variable density LaTeX symbol for Cauchy principal value Buddy List Buddy list for perucho Buddy list actions Manage Buddies List Member of World Writable Forename Pedro Surname Fernandez City Caracas State D C Country Venezuela Homepage Preamble this is the default PlanetMath preamble as your knowledge of TeX increases you will probably want to edit this but it should be fine as is for beginners almost certainly you want these usepackage amssymb usepackage amsmath usepackage amsfonts usepackage amsthm usepackage mathrsfs used for TeXing text within eps files usepackage psfrag need this for including graphics includegraphics usepackage graphicx for neatly defining theorems and propositions usepackage amsthm making

Original URL path: http://www.planetmath.org/users/perucho (2016-04-25)

Open archived version from archive