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The Lounge / Re: Post an image of yourself!
« on: February 06, 2009, 07:55:41 PM »No. I haven't seen her in 16 years.
has she passed away?
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No. I haven't seen her in 16 years.
So, could you give a lower bound. For example, when it is exactly at the top of someone's head.QuoteSo, how much air is between me and the moon.
That would depend where the moon is. When the moon is near the horizon it's just a muddy orange, representing the length of atmosphere its light must shine through.
QuoteAnd, New York is pretty bright.
Is New York at a distance brighter than the surface of the moon?
There is significantly more air between New York and Boston than there is between New York and the top of the atmosphere. Not to mention that very bright bodies can shine through the thickness of the atmosphere like headlights in fog.
So, isn't there air between me and the moon?I guess not because if you cant see new york because the you cant see through air then obviously there is no air above us
Q: "What about the stars, sun and moon and other planets? Are they flat too? What are they made of?"
A: The sun and moon, each 32 miles in diameter, circle Earth at a height of 3000 miles at its equator. They are located midway between the North Pole and the ice wall. Each functions similar to a "spotlight," with the sun radiating "hot light" and the moon "cold light." As they are spotlights, they only give light out over a certain are which explains why some parts of the Earth are dark when others are light. Their apparent rising and setting are caused by optical illusions.
The stars are about as far as San Francisco is from Boston. (3100 miles)
Well you can always move toward where the man will be and where you can get to in the same time. His speed and direction always have an intercept course. Now, I know he can change speed and direction, but as long as the robot lion thing continuously recalculates, he is screwed.
If the Tiger runs in the center and increases the radius outwards, he will eventually corner the man along the edge, at that point he can just keep in the smaller circle and overcome the man, then veer outwards and catch him.
The tiger will always catch the man because if they are moving at the same speed the tiger will have the advantage of being able to move in a smaller circle so he can overtake the man even if the man turns around. like I said the same way that we get a satellite to catch marsThe tiger can just rin in ever increasing circles and eventually the man will be at the edge of the ring and the tiger can just catch him the same way we get a satellite to catch Mars
the problem is there are no satellites around Mars. stop using some non-scientific nonsense. It is a perfectly well posed problem.
All men are sluts to one degree or another
The tiger can just rin in ever increasing circles and eventually the man will be at the edge of the ring and the tiger can just catch him the same way we get a satellite to catch Mars
Run toward the man when he is not running along the wall or is not moving. Run 45 degrees relative to the man at equal speed when he is running along the wall.
Run at an angle 45 degree away from the man's angle of running.
what if the man just stands still?
thankfully the tiger is not run by a calculation robosteve.
At that point move straight towards the man.
Run at an angle 45 degree away from the man's angle of running.
A lion and a man in a closed arena have equal maximum speeds. What tactics should the lion employ to be sure of his meal?
Chase him into a corner.
Find the value of x, and post your visual proof.
Rules:
You can only use elementary geometry. For instance, the angles of a triangle add up to 180 degrees, or use the basic congruent triangle rules (side-angle-side, et cetera.). Trigonometry, like using the law of sines, the law of cosines, et cetera is strictly forbidden.
My solution:
x = 60
Find the value of x, and post your visual proof.
Rules:
You can only use elementary geometry. For instance, the angles of a triangle add up to 180 degrees, or use the basic congruent triangle rules (side-angle-side, et cetera.). Trigonometry, like using the law of sines, the law of cosines, et cetera is strictly forbidden.
After applying sine theorem to triangles AED and BDE on one hand and ABD and ABE on the other, and making some equalities and a considerable ammount of trigonometry, I finally got a nasty solution for x:
x = 27o 33' 17''
Since it is a nasty result, it means I either made some mistake or you wanted to fuck with us. This problem is impossible to solve without trig.
Find the value of x, and post your visual proof.
Rules:
You can only use elementary geometry. For instance, the angles of a triangle add up to 180 degrees, or use the basic congruent triangle rules (side-angle-side, et cetera.). Trigonometry, like using the law of sines, the law of cosines, et cetera is strictly forbidden.
QuoteThe expression you gave diverges. I found a proof.
ORLY?
Actually, I found a mistake in my reasoning, but I still can bet that it diverges.
QuoteThe expression you gave diverges. I found a proof.
ORLY?
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√(1+√(2+√(3+√(4+...)))) = ?