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If the top row of Pascal's triangle (which contains the single number 1) is denoted row zero, what is the sum of all the numbers in the triangle above row N? What is the curve, which has shortest length between two points? What is the number of fring...
The nth triangle number is the number of dots in a triangle with n dots on a side. The rightmost term in the formula, consisting of the two numbers n + 1 and 2 on top of each other within parentheses, is the standard mathematical notation for a binomial coefficient that counts the ...
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Let L be a vector space over the field of complex numbers. Then, L is said to be a ternary Lie algebra at cube roots of unity if L is endowed with a ternary bracket ( x , y , z ) ∈ L × L × L ↦ [ x , y , z ] ∈ L , which transforms under the cyclic permutation...