Video Games and Game Theory

http://well.blogs.nytimes.com/2013/03/05/video-games-may-aid-children-with-dyslexia/

As shown by the above NY Times article, video games are changing the world.  They are the way of the future and game theory is becoming increasingly important.

Inverse Matrix Derivation and Proof

The past couple of weeks I have spent time, with sheer joy I might add, deriving the formula for square matrix inverses.  Used algebra to derive 2x2, 3x3 and 4x4!  What incredible fun.  next i will complete a proof showing the inverse is the co-factor matrix divided by the determinant. 

Will go back to "Photosynthesis 1" after this journey is finished....

MIT Link

Here is a link to a MIT game theory course. 


http://ocw.mit.edu/courses/economics/14-126-game-theory-spring-2010/index.htm

New Journey -- Again

I am taking a direction in my painting that I feel encapsulates all of me - art, math and science.  It is a wonderful thing to finally feel this way as my interests have been so diverse.  I believe I may have found a counterpart in the math and science world too!  Game theory.  This area of math embodies psychology and mathematics, primarily linear algebra.

The new journey begins again!

A Problem to Solve

When a person is on a journey, it is always nice to have a specific problem to solve.  I have found one in the middle of the Transition Metals.
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July 5, 2011

Most atoms first fill the electron orbitals that use the least amount of energy; then they fill the higher energy orbitals.  Fairly recently, it was discovered that several exceptions to this rule exist in the Transition Metals. 

According to Atomic Number, the frist exception is Chromium.  Keeping in line with the typical rule, its electron configuration should be:

1s2 2s2 2p6 3s2 3p6 4s2 3d4

Instead, Chromium follows the electron orbital structure:

1s2 2s2 2p6 3s2 3p6 4s1 3d5

Why this happens is being disputed in the current quantum mechanics community.  In our current periodic table, there are nine exceptions in the first 56 elements.  Very interesting indeed!

Ionic Bonding

How ionic bonding  creates a "bond" has always been a mystery to me and now, this text, clarifies that.  No compounds are actually ionic; but instead, they are all partial and predominantly ionic bonds along with being partial covalent bonds.  This makes sense.

Rest or Not Rest?

The first sentence in the Wikipedia article on Inertia states "Inertia is the resistance of any physical object to a change in its state of motion or rest, or the tendency of an object to resist any change in its motion."

A relevant question becomes, is anything ever at rest?  Do we have to worry about a change in motion from a state of rest; or is the change in motion the only pertinent aspect?

Everything is always in motion.  Sitting in my chair here on Earth, the planet is moving therefore, I am also moving.  The Universe is even expanding so the movement of this planet is not as straight forward as one might think.

Something to ponder...

Matter vs Mass

All matter has the property of mass but not all mass is associated with matter.

Mass-ive Quandry

While reviewing chemistry and physics, I am amazed at how often mass is used to determine other factors.  Many equations are built on the concept of "mass" yet we have no idea what it actually is.  Interesting...

Others' Journeys

Beginning my journey requires reviewing basic levels of chemistry and physics followed by expanding my knowledge to greater depths.

As I peruse a college chemistry book, I am amazed at the journey of those before me.  Placing myself in their shoes, I realize how exciting their discoveries must have been. The amount of sheer brain power is staggering. It is humbling.

New Journey

A new journey begins - the search for mass and inertia.