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math.HO2018
A Short Proof that Lebesgue Outer Measure of an Interval is its Length
Jitender Singh
We prove the statement in the title using the connectedness of the interval in real line.
math.GM2018
Pythagoras, Binomial, and de Moivre Revisited Through Differential Equations
Jitender Singh, Renu Bajaj
The classical Pythagoras theorem, binomial theorem, de Moivre's formula, and numerous other deductions are made using the uniqueness theorem for the initial value problems in linea…