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- Verify Eular,s theorem for z =ax2+2hxy+by2Prove using the short north-east diagonals↗or any other mathematical method of your preference, that if A is an enumerable set, then itis also countable with an enumeration that lists each of its members exactly 5 times.Let A have the enumeration A= a0,a1,a2,a3,a4...Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth). How many distinct two-geon objects do we have in the space described above? 2. Now, suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. We'll start by creating a two-geon pair of A and B just like in Question 1 above; then, we decide which of A or B the third geon (C) will be adjacent to, and then we place geon C beside either A or B in one of the 10 allowed relations. How many distinct three-geon objects do we have in this space?
- suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth). How many distinct two-geon objects do we have in the space described aboveSuppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth). How many distinct two-geon objects do we have in the space described above? 2.Now, suppose we add a third geon, geon C. Again, each geon comes in 20 varieties and 5 sizes. We'll start by creating a two-geon pair of A and B just like in Question 1 above; then, we decide which of A or B the third geon (C) will be adjacent to, and then we place geon C beside either A or B in one of the 10 allowed relations. How many distinct three-geon objects do we have in this space? Note;Earlier answers given by experts are as below which are wrong: 49,500, 19! 19!x19! 1.2*10^17 1000 250 150. Note:For first question answer is…{u1, u2, u3} is an orthonormal set and x = c1u1 + c2u2 + c3u3. ||x|| = 5, <u1,x> = 4 , x ㅗ u2 , find c1,c2,c3
- I'm trying to prove that if given the innumerable set A and the set B = {x, y}, then A X B is denumerable as well. Proof: All I have so far is that, assuming A is denumerable, we can create the sequence A = a1, a2, a3, ... By definition of cross-product, we can then form the sequence A X B = a1x, a1y, a2x, a2y, a3x, a3y, ... It should be clear that this sequence includes every element of AXB as, as such, A X B is denumerable. I am not entirely sure that this argument is valid.7,8,9 Written out on the X form way A- B- C- X- labelProve directly (do not use Theorem 1.8) that, if {an} ∞n=1 and {bn} ∞n=1 are Cauchy, so is {an + bn} ∞n=1
