set theory intersection is a multiplication (due to semigroup)#544 Correcting Math Archimedes Plutonium wrote: Now, returning to the product of two sets. As is well known, the frequently used notation for the intersection of two sets A nd B is plain AB. Regardless of the notations, it's a semigroup operation. Well, surely at least a semigroup. But for example string concatenation is a a... 28 Mar 2010 17:53
set theory intersection is a multiplication (due to semigroup) #544 Correcting Math Rotwang wrote: Part of the definition of a ring is having an additive inverse for each element, which P(S) doesn't. It does form a "semiring" though. @A: another way in which intersection can be thought of as a product (though I don't know of anybody using the term "multiplication" in this co... 28 Mar 2010 16:47
Set theory operators compared to Algebra operators #543 CorrectingMath Jesse F. Hughes wrote: A <anonymous.rubbertube(a)yahoo.com> writes: [...] What does this even mean, for set theory to "have intersection as multiplication"? AP doesn't really know what it means, I'm sure, but one way to understand his half-remembered thought is this: Let S be a set. ... 28 Mar 2010 16:47
Set theory operators compared to Algebra operators #543 Correcting Math A <anonymous.rubbertube(a)yahoo.com> writes: On Mar 28, 4:16 am, Archimedes Plutonium <plutonium.archime...(a)gmail.com> wrote: [...] Now I find it rather intriguing that Intersection as a set operator is viewed as multiplication. Now how that comes to be is rather puzzling to most people because i... 28 Mar 2010 15:41
Finite Arithmetic - Preliminary On Sat, 27 Mar 2010, RussellE wrote: Let M = {0, 1, 2, ..., m-1) be the domain of SumN(). Let C = {0, 1, 2, ..., n(m-1) } be the Ceiling of SumN() on domain M. C is not the ceiling of sum_n(M), it's the range of sum_n. n(m - 1) is the maximum of sum_n(M) Yes, I need a better definition for... 29 Mar 2010 04:46
Intro to "The Theory of Reality" > A complete theory of reality must include EVERYTHING ranging from the nature of human consciousness and awareness, how the universe began & where all the matter-energy content came from, how did the universe end, what is the quantum nature of gravity and how does quantum gravity relate to the other known ... 28 Mar 2010 04:40
Uncertainty Principle is a form of Eucl = Ellipt unioned Hyperb #542 Correcting Math Archimedes Plutonium wrote: (snipped) Now what I was trying to remember in the earlier post today was DeMorgan's Laws of set operations, and I was looking for the complement operator to be like multiplication whereas the union operator to be like addition. I have refreshed my memory of DeMo... 28 Mar 2010 03:37
Uncertainty Principle is a form of Eucl = Ellipt unioned Hyperb #541 Correcting Math Archimedes Plutonium wrote: (snipped) Now I vaguely remember that in set theory, the complimentary set, that multiplication of complimentary sets is equivalent to the union of specified other sets relative to the complimentary sets. What I am trying to say, without refreshing my memory is t... 28 Mar 2010 03:36
Idiots, we all will be killed in a couple of days. Write to Geneva and plead the citizens of Geneva to block the entrances to LHC. On Mar 27, 1:38 pm, Baron <baron.nos...(a)linuxmaniac.nospam.net> wrote: John Larkin Inscribed thus: On Thu, 25 Mar 2010 14:56:10 -0700 (PDT), Darwin123 <drosen0...(a)yahoo.com> wrote: On Mar 25, 12:42 pm, Magnetic <magnetic.t...(a)yandex.ua> wrote: Idiots, we all will be killed in a couple of ... 28 Mar 2010 01:27
TURDS. THEIR PLACE IN SOCIETY. Pentcho Valev wrote: Theoretically, the null result of the Michelson-Morley experiment can be obtained by assuming that: (A) The speed of light varies with the speed of the light source (c'=c +v); the principle of relativity is correct; there are no miracles (length contraction, time dilation). ... 27 Mar 2010 22:11 |