# ''' MATHEMATICS -STUDENTS-

# *MONUMENTS* '''

*EXPLORING THE WORLD STUDENTS SOCIETY IN MOTION* -to my utter delight, memory rarely ever fails me on that :

In total secrecy, with a sleigh of hand and with cunningness of a master, that would have delighted Houdini. I set up a regular secret proficiency test-

And without letting these many great geniuses discern, I began looking for Mathematical Talent:

Students : Rabo, Haleema, Saima, Haider, Mustafa/LUMS, Ahsen/LUMS, Hussain, Shahzaib, Reza/Canada, and little angels Maynah, Maria, Hannyia.

I found most of them highly gifted in thinking Mathematics :

Rabo, Haleema, Saima, Hussain, Mustafa, Salar, in particular I found highly creative.

*Rabo and Haleema and Salar and Hussain
could articulate complex log*. ''Look for higher learning and
practice and Masters in Mathematics. Technology is a slide, you could
most easily spin out of control,'' I urged, Rabo and Haleema and Hussain.

Expectedly, and heartachingly, none complied. In most cases conventions and events overtook them. With Hussain in all and every likelihood ending up in a vertigo.

And
with that I turn to Dr. Annie Wilkinson, professor of mathematics at
the University of Chicago, for some great inspirations:

The
Mathematics section of the National Academy of Sciences lists 104
members. Just four, Yes, Just 4 are women. *And as recently as
June, that number was six*.

Dr. Scientist Marina Ratner and Dr. Scientist Maryam Mirzakhani could not have been more different, in personality and background.

Dr. Ratner
was a Soviet-born Jew who ended up at the University of
California, Berkeley, by way of Israel. She had a heart attack at 78
at her home in early July.

Success came rather later in her career, in her 50s, when she produced her most famous results, known as Ratner Theorems. They turned out to be surprisingly and broadly applicable, with many elegant uses.

In the early 1990s, when I was a graduate student at Berkeley, a professor tried to persuade Dr. Ratner to be my thesis adviser, She wouldn't consider it :

She believed that years earlier she had failed her first and only doctoral student and didn't want another.

Dr. Scientist Mirzakhani
was a young super star from Iran who worked nearby at Stanford
University. Just 40 when she died of cancer in July, she was the first
woman to receive the prestigious Field Medal.

I first heard about Dr, Mirzakhani
when, as a graduate student, she proved a new formula describing the
curves on a certain abstract surfaces, an insight that turned out to
have profound consequences -offering, for example:

*A new proof of famous in conjecture in physics about quantum gravity*.

I
was inspired by both women and their patient assault on deeply
difficult problems. Their work was closely related and is connected to
some of the oldest questions in mathematics.

The
ancient Greek were fascinated by the Platonic solid -a three
dimensional shape that can be constructed by gluing together identical
flat pieces in a uniform fashion.

The pieces
must be regular polygons, with all sides the same length and all angles
equal. For example, a a cube in a platonic solid made of eix squares.

Early philosophers wondered how many platonic solids there were.

The
definition appears to allow for infinite possibilities, yet, remarkably
there are only five such solids, a fact whose proof is credited to the
early Greek mathematician Theaetetus .

The pairing of the seemingly limitless to a finite number is a case of what mathematicians call rigidity.

Something that is rigid cannot be deformed or bent without destroying its essential nature.

Like
Platonic solids, rigid objects are typically rare, and sometimes
theoretical objects can be so rigid they don't exist -mathematical
unicorns.

In common usage, rigidity connotes inflexibility, usually negatively.

Diamonds,
however, owe their strength to the rigidity of their molecular
structure, Controlled rigidity, that is, flexing along certain
directions -allows a suspension bridges to survive high winds.

Dr.Scientist Ratner and Dr. Scientist Mirzakhani were experts in this more subtle form of rigidity. They worked to characterize shapes preserved by motions of space.

One
example, is a Mathematical Model called the Koch snowflake, which
displays a repeating pattern of triangles along its edges.

The edge of this snowflake will look the same at whatever scale it is viewed.

The
snowflake is fundamentally unchanged by rescaling ; other
mathematical objects remain the same under different types of motions.

The shape of a ball, for example is nor changed when it is spun.

Dr. Scientist Ratner and Dr. Scientist Mirzakhani studied shapes that are preserved under more sophisticated types of motions, and in higher dimensional spaces.

The Honor and Serving of the latest Operational Research on : Mathematics and Sciences continues.

With
respectful dedication to All the Mathematicians of the World,
Students, Professors and Teachers. See Ya all on

**!WOW!**-the World Students Society and Twitter-**!E-WOW!**-the Ecosystem 2011:
''' Motion & Mystery '''

Good Night and God Bless

**SAM Daily Times - the Voice of the Voiceless**

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