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Landau Foundations of Analysis Axiom 4: Is it necessary?
Landau gives 5 axioms as the foundations for deriving the theorems in the first chapter:
Axiom 1: 1 is a natural number.
Axiom 2: If $x = y$ then $x' = y'$.
Axiom 3: 1 is not a successor to any ...
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Why is a single nonnegative number smaller than a sum of nonnegative numbers?
I know this sounds like an incredibly dumb question, but why is a single nonnegative number smaller than a sum of nonnegative numbers in a vector? I know it's true, but I want to know why it's true. ...
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