Contemporary Mathematician

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Posted in Mathematics by Economists Mathematicians on March 17, 2010

Notes on Existentialism Mathematics by dr. Algirdas Javtokas (New Frontiers in Mathematics Series).
The present series is devoted to nothingness mathematics.

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Proposition. 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 01 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1

011111110100 = 00

0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 01 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 01 0 0 0 0 1 11 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1

.

Proof  1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 11 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0

01111110 \displaystyle\int 00 \times 00

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0

010 \displaystyle\sum 100 \displaystyle\sum 010101000

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Example. 0 1 1 0 1 01 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 01 1 1 0 00 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 00 1 0 1 0 1 0.

0100 \otimes 0100 \supset 00010 \subset 000

1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 11 0 1 0 1 0 0 1 1 0 1 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 00 0 0 0 1 1 1 1 10 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 00 0 0 1 1 1 1 0 1 0 0 1

000010 \asymp 011000

0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 11 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1

.

Theorem. 0 1 01 0 1 0 1 0 0 0 0 1 11 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 001 1 1 1 1 11 1 0 0 0 0 0 1 1 1 1 0 0 00 0 1 1 1 1 1 0 0 00 0 1 1 1 1 1 1 1 1 1 0 00 0 0 1 1 1 1 00 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 00 0 0 1 1 1 1 0 1

00 \leftrightarrow 00

.

Proof  0 1 01 0 1 0 1 0 0 0 0 1 11 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 00 1 0

00010010 \displaystyle\sum 00010010 = 000

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0

0 1 01 0 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 0 0 1 1 0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 01 1 0 1 01 0 1 0 1 1 1 1 1 1 1 1 1 1 101

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Algirdas Javtokas’ mathematics orbits the distinct research.
– Blaise Pascal

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4 Responses

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