Recent content by Tyler.Smith

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    Finished PhD -- it's been one year and can't find a job

    maybe you could apply to a job in southamerica. There you have the "National Atomic Energy Commission" (Centro Nacional de Energia Atomica). And you can send your information to this email - info@cab.cnea.gov.ar -. The website is - http://www.cab.cnea.gov.ar/index.php/contacto - and...
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    Proving the Equation a-(-a)=a+b in an Additive Group

    Finally -"Q.E.D"-. Thanks for the feedback & help!
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    Proving the Equation a-(-a)=a+b in an Additive Group

    Hello, I made the corrections you mentioned, and based on the theory of abelian group, I try to prove that the identity element and inverse element are unique. I think that maybe i got it. ------------------------------------------------------------------------------------- I have a...
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    Proving the Equation a-(-a)=a+b in an Additive Group

    Hello, I followed your advice, and use some axioms and deductions that had already established. I do not know if it is correct Demostracion I have a group G, which has an internal composition law ∘, satisfies the following axioms. 1. a+(b+c)=(a+b)+c, ∀a,b,c∈G 2. ∃e∈G : e+a=a-e=a 3...
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    Proving the Equation a-(-a)=a+b in an Additive Group

    Hello, I followed your advice, and use some axioms and deductions that had already established. I do not know if it is correct Demostracion I have a group G, which has an internal composition law ∘, satisfies the following axioms. 1. a+(b+c)=(a+b)+c, ∀a,b,c∈G 2. ∃e∈G ...
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    Proving the Equation a-(-a)=a+b in an Additive Group

    Well as the subject states... How does one prove that a-(-a)=a+b ? If "a" is any number "b" is a positive number, being "-b" its corresponding negative