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 Oct 28 asked Does the fact that a tiling is tile-uniform always guarantee that it is also vertex-uniform? Oct 28 revised Polygonal tilings: differentiating between tiles and tilings, and their edges and vertices? added 724 characters in body Oct 24 revised Polygonal tilings: differentiating between tiles and tilings, and their edges and vertices? I have rephrased my question, to hopefully clarify what I'm trying to ask. Oct 23 asked Polygonal tilings: differentiating between tiles and tilings, and their edges and vertices? Jun 21 asked $\sqrt{x + \sqrt{2x -1}} + \sqrt{x- \sqrt{2x-1}} = A$ Jan 21 accepted Prime decomposition of an integer: methods of determining the prime factors $p_1, p_2, …, p_r$ and powers $k_1,k_2, …, k_r$ Jan 21 revised Prime decomposition of an integer: methods of determining the prime factors $p_1, p_2, …, p_r$ and powers $k_1,k_2, …, k_r$ Edited title and content of question, adding query about prime factors Jan 21 awarded Commentator Jan 21 comment Prime decomposition of an integer: methods of determining the prime factors $p_1, p_2, …, p_r$ and powers $k_1,k_2, …, k_r$ I haven't yet worked out the prime factors of this number. In fact, it could be divisible by any prime $\leq \sqrt{567788}$... So, actually, I'd be interested in learning methods of determining prime factors of large numbers too. Jan 21 asked Prime decomposition of an integer: methods of determining the prime factors $p_1, p_2, …, p_r$ and powers $k_1,k_2, …, k_r$ Jan 19 accepted Representing Recursion and Primitive Recursion diagrammatically Jan 19 comment Representing Recursion and Primitive Recursion diagrammatically Thanks for your excellent description of the difference between how primitive recursive and recursive functions behave. I can now see that the difference lies in the nature of the loops. Depicting this will be an interesting project- I'll have to post it on here, as and when I come up with something! Your book looks really interesting- I shall have to track it down. Jan 13 revised Representing Recursion and Primitive Recursion diagrammatically I've added logic and computability to the tags Jan 13 revised Primitive recursive functions and characteristic functions. Methods of proof- examples. Illumination. edited tags; edited title Jan 13 accepted Primitive recursive functions and characteristic functions. Methods of proof- examples. Illumination. Jan 13 comment Primitive recursive functions and characteristic functions. Methods of proof- examples. Illumination. Thanks so much for your answer. I think I can see the thinking behind this now- well, I get how the algebra works anyway, and mostly get the rest of it... In answer to your questions- I am referring to f in the context of inferring the parity of n, i.e. $\chi_E$ This is what I meant by f and g doing the same thing. The overall topic in the textbook that I'm reading is 'characteristic functions'. Just one more thought- presumably $\chi_E$ would only be valid for the two cases 'n even' and 'n odd'? Jan 13 comment Primitive recursive functions and characteristic functions. Methods of proof- examples. Illumination. Ah, I did indeed miss out the 'n's! I see that f and g obviously don't do the same thing, but it is presumably no coincidence that g has been written in the way that it has. I think I'll sleep on that and take another look at it tomorrow(!) Jan 13 revised Primitive recursive functions and characteristic functions. Methods of proof- examples. Illumination. added 2 characters in body Jan 13 asked Primitive recursive functions and characteristic functions. Methods of proof- examples. Illumination. Jan 12 awarded Teacher