MathGroup Archive 2012

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: 2 Assumptions for one parameter?

  • To: mathgroup at
  • Subject: [mg128053] Re: 2 Assumptions for one parameter?
  • From: Bill Rowe <readnews at>
  • Date: Wed, 12 Sep 2012 02:58:04 -0400 (EDT)
  • Delivered-to:
  • Delivered-to:
  • Delivered-to:
  • Delivered-to:

On 9/11/12 at 2:32 AM,
=?ISO-8859-1?Q?Andreas_Talmon_l=27Arm=E9e?= at wrote:

>What is the right typing to make two assumptions for one parameter?
>Something like this:


either what you have or:

$Assumpitions={a>0, Element[a,Reals]}

but note, by default Mathematica makes a variable as general as
possible. So, since a>0 isn't meaningful for complex a, it follows:

$Assumptions={a>0, Element[a,Reals]}

all achieve exactly the same thing.

>And is there a way to to control my assumptions made for the
>parameters I use something like


It is unclear to me what you are trying to do here. Setting the
value of $Assumptions impacts those functions that look at the
value of $Assumptions when you use them but has no effect on the
value of other symbols such as a. That is you can do:

In[6]:= Clear[a]; $Assumptions = {a > 0};
Simplify@Element[Sqrt[a], Reals]

Out[7]= True

then assign a value to a that contradicts your assumptions and
work with it

In[8]:= a = -2;
Element[Sqrt[a], Reals]

Out[9]= False

but this definitely causes problems for functions that look at
the value of $Assumptions since now

In[10]:= Simplify@Element[Sqrt[a], Reals]

Out[10]= True

and generates an warning stating one or more assumptions
evaluated to False

  • Prev by Date: Re: Landau letter, Re: Mathematica as a New Approach...
  • Next by Date: Solving this in mathematica?
  • Previous by thread: Re: compile fct. using Goto and If (vrs. 8)
  • Next by thread: Solving this in mathematica?