Open Free Education
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Enhanced Set Theory
kautilya33
52 views
Just as Peano's axioms split the real line into unit intervals, the Axiom of Infintitesimals defined here decomposes the real line further into infinitesimals. This allows ...
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Derivation of Riemann Functional Equation
kautilya33
59 views
Riemann functional equation is commonly derived using Mellin transform, but we derive it here utilizing the Lapace transform, which is more familiar to scientists and engin...
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Instant Proof of Three-Dimentional Pythagoras Theorem
kautilya33
41 views
We give a proof of three-dimentional Pythagoras theorem making use of some well-known results in vector analysis.
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Riemann Hypothesis and Natural Functions
kautilya33
81 views
Communication engineers are accustomed to the duality betweeen the time domain analysis and the frequency domain analysis. Hence, I believe it will appropriate to change th...
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Primal Zeta Function
kautilya33
42 views
If the natural numbers have a zeta function corresponding to it, there is no reason why we cannot have one for the prime numbers.
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Instant Proof of Pythagoras' Theorem by da Vinci
kautilya33
721 views
There are dozens of proofs for the Pythagoras' theorem, here is one by da Vinci, worthy of his name. This was brought to my attention recently by Dr. Arun Kumar.
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My Mentors
kautilya33
235 views
According to my classification, physicists, mathematicians, and philosophers investigate visible, conceivable, and ultimate Reality, respectively. Amongst my heroes, Cantor...
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Saving Computer Science from Incompleteness Theorems
kautilya33
1,091 views
In this video we question an often expressed opinion that Godel's incompleteness theorems imply the limitations of the human mind and intelligence. Our opinion here is that...
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The Mathematical Universe in a Nutshell
kautilya33
718 views
This is an attempt to visualize the universe around us, making use of concepts from set theory. Needless to say, only highlights are given here. For more details, see the p...
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Reality is Unrealizable
kautilya33
249 views
According to my classification, the hierarchy of realities is visible reality, concievable reality, and ultimate reality, investigated by physicists, mathematicians, and ph...
About Open Free Education
In my opinion, the supreme achievement of our civilization is the acquisition of our linguistic ability. Here I use linguistics in its broadest sense in that I include mathematical derivations and string manipulations also in it. Starting with smoke signals a few thousand years ago, we have come long way and today we can communicate to the whole world through YouTube. Let us use it to communicate mathematics, the highest joy humans can have. I believe that the joy of communication is only next to discovery itself.
In my opinion, the supreme achievement of our civilization is the acquisition of our linguistic ability. Here I use linguistics in its broadest sense in that I include mathematical derivations and string manipulations also in it. Starting with smo...
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