Brouwer Fixed Point Theorem: A continuous bijective auto-mapping on a genus 0 manifold attains at least one fixed point.
Showing posts with label Notes. Show all posts
Showing posts with label Notes. Show all posts
August 15, 2010
Bet kaip išmaišius paprastam puoduke esančią arbatą, bent viena dalelė lieka savo vietoje.
Tik nereikia maišyti labai stipriai, kad vandeniliniai ryšiai nesuirtų. Priežastis:
Pasaulyje yra bent viena vieta, kurioje visiškai nepučia joks vėjas
Bet kuriuo duotu laiku, tokia vieta egzistuoja. Priežastis:
Theorem: Continuous vector field on a sphere vanishes in at least one point.
March 7, 2009
Unfair Dice Game
4 specially numerated dices are needed:
- 3,3,3,3,3,3
- 4,4,4,4,0,0
- 5,5,5,1,1,1
- 6,6,2,2,2,2
February 5, 2009
Quotes
Everything should be made as simple as possible, but no simpler.
The secret of the productivity in so many fields is letting dead people do the work for you.
What gets us into trouble is not what we don't know.
It's what we know for sure that just ain't so.
/A. Einstein/
The secret of the productivity in so many fields is letting dead people do the work for you.
/Robert Lang/
What gets us into trouble is not what we don't know.
It's what we know for sure that just ain't so.
/Mark Twain/
If one does smth for the first time - it's science,
If for the secend - it's engineering,
If for the thrid - it's technology,
And if for the fourth - it's already boredome...
Yesterday is history,
Tomorrow is mystery,
Today is a gift,
That is why it is called present.
An early version, printed by others on postcards:
If for the secend - it's engineering,
If for the thrid - it's technology,
And if for the fourth - it's already boredome...
/unknown/
Yesterday is history,
Tomorrow is mystery,
Today is a gift,
That is why it is called present.
/Mind Game/
An early version, printed by others on postcards:
- Do not stand at my grave and weep;
- I am not there. I do not sleep.
- I am a thousand winds that blow.
- I am the diamond glints on snow.
- I am the sunlight on ripened grain.
- I am the gentle autumn rain.
- When you awaken in the morning's hush
- I am the swift uplifting rush
- Of quiet birds in circled flight.
- I am the soft stars that shine at night.
- Do not stand at my grave and cry;
- I am not there. I did not die.
Her later confirmed version:
- Do not stand at my grave and weep,
- I am not there, I do not sleep.
- I am in a thousand winds that blow,
- I am the softly falling snow.
- I am the gentle showers of rain,
- I am the fields of ripening grain.
- I am in the morning hush,
- I am in the graceful rush
- Of beautiful birds in circling flight,
- I am the starshine of the night.
- I am in the flowers that bloom,
- I am in a quiet room.
- I am in the birds that sing,
- I am in each lovely thing.
- Do not stand at my grave and cry,
- I am not there. I did not die.
/unknown/
Proof by contradiction: "ad absurdum"
Power corrupts. Absolute power corrupts absolutely.
/unknown/
Power corrupts. Absolute power corrupts absolutely.
/Lord Acton/
Success is a journey, not a destination.
/unknown/
However beautiful the strategy, you should occasionally look at the results.
/Sir Winston Churchill/