Is this quadratic equality known? Good evening, There are known solutions of form a^2+b^2+c^2+d^2 = f^2 a,b,c,d,f positive integer numbers Is this one of any interest: (x^2-yz)^2+(y^2-xz)^2+(z^2-xy)^2+(xy+yz+zx)^2 = (x^2+y^2+z^2)^2 Alain ... 12 Aug 2010 04:57 Clifford Algebras: What is the def. of "an Algebra generated froman inner- n the entry: http://en.wikipedia.org/wiki/Clifford_algebra the Clifford algebra is defined as the algebra freely generated by an inner-product space; in this case ,the Clifford n-algebra it is the algebra freely-generated by R^n with its standard inner product: I understand how, e.g., a set S freely-gene... 11 Aug 2010 12:33 why Davidson cannot learn from Flath -- Euclid's IP proof #5.17 Correcting Math sttscitrans(a)tesco.net wrote: On 11 Aug, 04:37, Transfer Principle wrote: On Aug 8, 4:37 pm, Archimedes Plutonium If Davidson is false then AP is also false If Davidson is true then AP is true. Mr. L. Walker, the below is a true proof, because in step 4) W+1 is recognize... 11 Aug 2010 14:45 simplest example for natural branches what is the simplest example for a coo function that has oo non-intersecting branches labeled by the positive integers ? so we have non-intersecting branches : branch 0 , branch 1 , branch 2 , ... by analogue the logaritm has branches labeled by the integers : ... branch -1 , branch 0 , branch 1 , branch 2... 12 Aug 2010 19:11 JSH: is not a troll. .. .. .. .. .. .. ... ... ... .. ..... .. .. ......... na, JSH is all troll, always has been......... ... 11 Aug 2010 11:28 0,1= 1Ettogram. i=0,1=1Ettogram. 10i)^1=1kg. 10i)^2=10 kg. 10i^3=100 kg. 10i)^4=1000 kg. 10i)5=10'000 kg. 10i)^6=100'000 kg. i, is part of 1. i, is la prrimary unity' decimal of 1. 0,i est part de i. 0,i est la primary unity' decimal of i. Socratis. ... 11 Aug 2010 11:28 JSH: JSH: JSH: (wait for the weekends.....) ... 11 Aug 2010 11:27 points on a map By drawing a circle on a map, can I always claim that there are at least two diametrically opposite points on the circle with the same height above the sea level? ... 13 Aug 2010 00:37 Meaning, Presuppositions, Truth-relevance, Goedel's Theorem and the Liar Paradox Newberry writes: A lot of people are absolutely convinced that e.g. PA is consistent. But anyway the point is that IF ~(Ex)Pxm then ~(Ex)[Pxm & ((x = x &) Qm)] is vacuous. I do not know what you are trying to argue here. By "vacuous" I mean that the subject class is empty. ... 13 Aug 2010 11:24 Probability Question Hello all , I am just trying to solve a problem and stuck on http://projecteuler.net/index.php?section=problems&id=121. To solve this problem, i am generating the whole tree but it grows quite fast [factorial ] with level and till level 15 its almost impossible enumerate. Here is sketch of solution which i figure... 11 Aug 2010 08:11