nota bene: - please include statement to be proven, at top of file, - along with the assumptions deemed indispensible, - not necessarily in that order. - thank you *** 1a1 student assumed: - field of positive integers - from which, logarithms are extracted at a sufficiently high base - autopsist has enough humorsense to creatively disinterpret names of chosen variables in the context of locally-smooth metrics. for your consideration: - the integer constants in this exercise had historical meanings for the current operator of the autopsy machine. *** 1a2 student simulated: - piled cannonballs until reaching closed-form series collapse likely assumptions: - familiarity with common integer sequences - access to well-indexed encyclopedia **** for the benefit of Mr Kite: there will be a show tonight, with cannonballs. how about these classes of complexity computation? - i. naturals are either a constant, or sums of a constant. - ii. triangles are sums of all consecutive positive integers. - iii. squares are sums of two consecutive triangular numbers. - iv. square pyramids are sums of all consecutive square numbers. - v. now, you are thinking with exponential implosions.
The remainder of the proof mistranslations are left as an exercise for the future.