Principle of least time
Light not take the least-time path, but defines it. I.e. specify structure.
Why forms important
Observables are the functions
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Particularly, let be a function, and
is a group that acts on
then a subgroup
is a symmetry of
if
for all
.
What I do
My life gives me an opportunity to try out how I deal with what I do however what way I want.
I achieved what an average person would achieve in a life time already. I will approach the subject of what mathematics has to do with the world as I see as fit, I can do whatever approach I'm comfortable to go ahead, not the way someone else suggested. or hastened to tale a particular way.
I'm comfortable with my life and achievement so far, and need nothing more, for that, I'm grateful. I once saw the mathematics goddess winked at me when I perceived the power of the twelve sectored circle, and need no more.
I can dedicate my life to that moment of enlightenment, and keep pursuing my way of pursuing to see what geometry has to do with how the world moves.
If I were to leave a message for the next civilization
If I'm to leave one information vital to the next civilization, it's the Erlangen program. It's not only a mathematical event that is cherished, but it encompasses everything people are doing these thousands years collectively. One man's insight at a right moment with the right use of words changes the world profoundly at its foundation. God, I am lucky to see its light in my eyes, and a bless to appreciate its beauty.
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Today I consolidated all my family's mobile account into two vendors.
One for my wife for unlimited talking to anyone for 22.70 for month, and all data traffics for my wife, son and me for 22.60.
In total for around 50.00 for month all the mobile of my family needs get paid. Next month, our Fiber To The Home bill will be come down to 45.00 after the contract scheme for the paid options and compensating cache back settles, then our information cost for month will be around 100.00 for month for now. It's pretty good for ample data bandwidth for three people, and after two years, there will be around 3 to 4 hundreds cents will be off from that figure.
worldwide sales.
