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Math
Geometry
Glossary for Geometry
Reasoning and Proofs
Proof Techniques
Assumptions "Without Loss of Generality" (WLOG)
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Explanations
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Without Loss of Generality, frequently denoted WLOG, essentially means that a problem can be divided into many cases. It then asserts that if one thing is true, then the remaini…
By Franklyn Wang
Problems
1
Let S1S_1S1, S2S_2S2, …\dots…, S125S_{125}S125 be 125 sets of 5 numbers each, comprising 625625625 distinct numbers. Let mim_imi be the median of SiS_iSi. Let MMM be the me…
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