Quest for equality
in [Math]
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From: Hero on 16 Jun 2010 15:28 Is there a collection, assemblation, congregation or whatsoever of different objekts, which have equal value? { 12 / 6, 5 - 3 , 6 / 3, 1 + 1 } has - per definition of a mathematical set - only one element. So how can we express this bunch of terms? With friendly greetings Hero
From: Zdislav V. Kovarik on 16 Jun 2010 16:53 On Wed, 16 Jun 2010, Hero wrote: > Is there a collection, assemblation, congregation or whatsoever > of different objekts, which have equal value? > > { 12 / 6, 5 - 3 , 6 / 3, 1 + 1 } has > - per definition of a mathematical set - only one element. > So how can we express this bunch of terms? > > With friendly greetings > Hero I see there a set of strings of symbols. Tacitly, it is accompanied by a function called "evaluation". (Technicalities need to be provided, such as the domain and the codomain of that function.) Then indeed, the image of that set of strings under the evaluation function has one element. Good enough? Cheers, ZVK(Slavek).
From: porky_pig_jr on 16 Jun 2010 17:52 On Jun 16, 3:28 pm, Hero <Hero.van.Jind...(a)gmx.de> wrote: > Is there a collection, assemblation, congregation or whatsoever > of different objekts, which have equal value? > > { 12 / 6, 5 - 3 , 6 / 3, 1 + 1 } has > - per definition of a mathematical set - only one element. > So how can we express this bunch of terms? > > With friendly greetings > Hero I'm currently collecting everything which equals 1. I'm not sure when I'm gonna finish that. Opps, that should include itself as well (a single collection, right). Gee whiz looks like it's gonna take a bit longer than I thought :-(
From: Gerry Myerson on 16 Jun 2010 20:19 In article <ae3285c5-8d00-4387-8f00-2a8668eba3c9(a)c10g2000yqi.googlegroups.com>, Hero <Hero.van.Jindelt(a)gmx.de> wrote: > Is there a collection, assemblation, congregation or whatsoever > of different objekts, which have equal value? > > { 12 / 6, 5 - 3 , 6 / 3, 1 + 1 } has > - per definition of a mathematical set - only one element. > So how can we express this bunch of terms? There is something called a multi-set, which is like a set except it's allowed to have repeated elements. Informally, such a thing may be referred to as a bag. -- Gerry Myerson (gerry(a)maths.mq.edi.ai) (i -> u for email)
From: Hero on 17 Jun 2010 11:11
porky wrote: > Hero wrote: > > > Is there a collection, assemblation, congregation or whatsoever > > of different objekts, which have equal value? > > > has { 12 / 6, 5 - 3 , 6 / 3, 1 + 1 } > > - per definition of a mathematical set - only one element. > > So how can we express this bunch of terms? > > I'm currently collecting everything which equals 1. I'm not sure when > I'm gonna finish that. Opps, that should include itself as well (a > single collection, right). Gee whiz looks like it's gonna take a bit > longer than I thought :-( The dizzy part here is, that { 12 / 6, 5 - 3 , 6 / 3, 1 + 1 } has only 1 Element, but this element is 2. With friendly greetings Hero |