Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #26 20080315 05:46:09#27 20081102 15:43:44
Re: Science laws and theorems
Interestingly, this is not Newton's first law of motion. It is actually a restatement of his second law, F=ma. You can shear a sheep many times but skin him only once. #28 20090417 00:04:47
Re: Science laws and theoremsThe Sylow theorems (group theory) #29 20090908 19:19:29#30 20090925 01:49:39
Re: Science laws and theoremsPlanck’s radiation law The intensity per unit wavelength of the radiation of a black body of absolute temperature is given by where is Planck’s constant, is the speed of light in a vacuum, and is Boltzmann’s constant. From this, both Stefan’s law (which states that the intensity of the radiation of a black body is proportional to the 4^{th} power of its absolute temperature) and Wien’s displacement law (which states that the maximum wavelength of the radiation of a black body is inversely proportional to its absolute temperature) can be derived. To derive Stefan’s law, hold constant and evaluate . For Wien’s displacement law, set . http://z8.invisionfree.com/DYK/index.php?showtopic=867 Last edited by JaneFairfax (20090925 01:51:09) #31 20120317 00:02:35
Re: Science laws and theoremsThree functions Note:All three of the above mentioned functions are multiplicative,which means that: Euler's formula Note: is not always the smallest number for which the above identity can hold. Last edited by anonimnystefy (20120317 00:07:37) The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #32 20120317 00:17:27
Re: Science laws and theoremsLowest Common Multiple Identity The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment 