Mathematical Memorandum
This is my memorandum about mathematics.
Use induction to prove
We give you a quiz; let
be positive numbers and let
be also positive.
It then follows
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be positive numbers and let 
be also positive.^{\frac{1}{p}} \leq (a_{1}^q + \cdots + a_{n}^q )^{\frac{1}{q}}. "(a_{1}^p + \cdots + a_{n}^p )^{\frac{1}{p}} \leq (a_{1}^q + \cdots + a_{n}^q )^{\frac{1}{q}}.")
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