# Contemporary Mathematician

## Best Mathematicians in the World of Contemporary Conformity

Posted in Mathematics by Economists Mathematicians on March 18, 2010

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

.

Example. 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 0 1 0 1 0 10 1 11 1 1 1 00 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 0 0 0 0 12 1 1 1 1 0.

0 1 1 0 1 010 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 011 01011 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 11 1 1 1 1 1 1 1 1 1 1 00 0 0 0 0 0 1 1 1 1 10 11 0 1 0 1 0101010 1 00 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 00 0 0 0 0 0 1 1 1 1 1 0

$\displaystyle\bigcap$ 01010 =$\displaystyle\bigcup$ 000

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

0 1 1 0 1 01 0 0 1 0 0 0 0 1 1 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 0.

00 $\displaystyle\bigcap$ 00 $\displaystyle\bigcap$ 010100 = 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 1 1 1 1 1 1 1 1 1 1 1 10 1 1 1 0

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

00 $\displaystyle\bigcup$ 00 = $\displaystyle\bigcap$ 00 $\displaystyle\bigcap$ 0101010

.

Lemma. 0 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 01 0 0 11 1 1 1 0 0 0 0 1 1 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 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

0010100 $\displaystyle\bigcap$ $\displaystyle\bigcap$ 001011100 $\displaystyle\bigcup$ 01010 = 00

.

Proof  1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 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 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 0 0 0 0 1

0 1 01 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 10 1 01 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 11 0 00 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1

000 $\displaystyle\bigcup$ 000

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

.

Theorem. 0 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

000 $\bigcirc$ 000 = 000 $\displaystyle\bigcap$ 000

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

.

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 1 011 11 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 00 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 00 1 0 1

000000 $\displaystyle\bigcap$ 0101000 $\subset$ 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 01 0

0 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 1 1 1 1 1 1 0 0 00 0 0 0 0 0 0 1 1 1 1 1 1 00 0 0 0 1 1 1 1 1 0 0 0 01 0 1 01 0 0 1 0 0 0 0 1 1 1 1 0 00 1 0 1 0 1 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 $\displaystyle\bigcup$ 00 = 00 $\displaystyle\bigcap$ $\displaystyle\bigcap$ 00 = 00010100

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 0 1 0 1 01 00 0 0 1 1 11 101

.

Algirdas Javtokas’ mathematics discusses math inside installation art.
– Pablo Picasso

## Famous Mathematicians and Their Contributions to Mathematics

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.

.

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

.

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

.

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

## Famous Mathematicians in Algebra of the Contemporary Century

Posted in Mathematics by Economists Mathematicians on March 16, 2010

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

.

Lemma 1. 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 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0.

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 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 0

.

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 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

00 $\to$ 000 $\to$ 000 $\to$ 000 $\to$ 00 $\to$ 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 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

.

Lemma 2. 0 1 1 0 1 01 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 0.

$\sum$ 00 0 0 1  $\otimes$ 00

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 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 0.

.

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 0 0 0 0 1

000 $\otimes$ 000 = 000 $\oplus$ 001 1 1 1 1 00 $\oplus$ 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 01 0 1 0 1 0 1 0 10 1 0 10 1 01 0 10 1 011 1 0 1 01 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 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

.

Theorem 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

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

.

Proof  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 1 0 1 01 0 1 0

000 $\to$ 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 01 0 1 0 1 01 0 10 1 0 10 1 0 10 1 0 1 00 1 1 1 1 1 0 0 0 0 0 0 0

$\prod$ 0100 = 00  $\otimes$ 01 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 0 0 0 0 0 1 1 1 1 0 0 0 01

.

Algirdas Javtokas’ mathematics crashes into the unconscious.
– Carl Gustav Jung

## Famous Differential Equations with Mathematicians in Modern Dialogues

Posted in Mathematics by Economists Mathematicians on March 15, 2010

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

.

Lemma 1. 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 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.

$\frac{\partial}{\partial t}$ 000 + $\frac{\partial^2}{\partial t^2}$ 00 = 000 $\frac{\partial}{\partial t}$ 0000 $\times$ 00

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 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 0.

.

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 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

00 $\frac{\partial}{\partial t}$ 000 + 000 = 000 $\frac{\partial}{\partial t}$ 00 $\cdot$ 000000

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

.

Lemma 2. 0 1 1 0 1 01 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 0.

$\frac{\partial^2}{\partial t^2}$ 00 0 1 0 1 0 1 0 1 0 1 0 0 10 = 00

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 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 0.

.

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 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 0

000 $\frac{\partial}{\partial t}$ 000 $\frac{\partial^2}{\partial t^2}$ 000 = 001 1 1 1 1 00 $\frac{\partial}{\partial t}$ 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

$\frac{\partial^2}{\partial t^2}$ 000 = 000 $\frac{\partial}{\partial t}$ 00 1 0 1 0 1 01

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 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

.

Theorem 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 $\frac{\partial}{\partial t}$ 00 + 00 $\frac{\partial^2}{\partial t^2}$ 00 = 00 + 001 1 0 1 0 1 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

.

Proof  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 1 0 1 01 0 1 0

000 $\int$ 000 1 0 1 0 1 0 1 0 10

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

$\frac{\partial}{\partial t}$ 0100 = 00 1 0 1 0 110 $\frac{\partial^2}{\partial t^2}$ 01 0 1 0 100

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

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Mathematics robotizes after Algirdas Javtokas’ life.
– Plato

## Most Famous Mathematician of the 21st Century Contemporary Algebra

Posted in Mathematics by Economists Mathematicians on March 14, 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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Lemma 1. 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 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.

000 $\times$ 000 $\equiv$ 000

0 1 1 0 1 010 1 1 0 1 0 1 0 1 0 1 0 1 0 1 010 1 0 1 0 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 0.

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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 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 0

000 $\neq$ 000 $\pm$ 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 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

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Theorem 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 1 1  $\to$ 0 1 1 1

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 1 1 0 1

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Proof  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 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

000 $\subset$ 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

01010000 = 010 $\bullet$ 00

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 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

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Algirdas Javtokas. Think It Loud.