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03-14-2019
06:53 PM

03-14-2019
06:53 PM

Re: Set Theory

Luc,

This is excellent! Thanks for the information.

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03-15-2019
12:47 AM

03-15-2019
12:47 AM

Re: Set Theory

@gerrypete wrote:

Hi, Valery,

Your text would be a fascinating preface to any book on mathematics. I wasn't able to translate "vysokointellektualnym" but everything else is thought-provoking.

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03-15-2019
04:45 AM

03-15-2019
04:45 AM

Re: Set Theory

even if it is beyond the question, I add this to complete my previous answer:

Memories of when I taught:

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03-15-2019
05:04 AM

03-15-2019
05:04 AM

Re: Set Theory

I have only one time use the operator "element of" in my last book about Math and Mathcad (see please two chapters above).

A problem

"Three fishermen lay down to sleep, not having counted or divided their catch. In the night, one of them woke up, and (not quite trusting the others) decided to divide the pile of fish and take his share. But the number of fish wasn't visible by three. However, he found he could throw one fish away, then take exactly a third. This he did (noting, in the true spirit of fairness, that an even number of fish was left for his comrades) and went back to sleep. Later, the second and third fishermen woke in turn, and each went through the same process. The question is, what is the minimum number of fish in the catch that fulfils these conditions?"

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03-15-2019
09:53 AM

03-15-2019
09:53 AM

Re: Set Theory

Hi, Valery,

I took a screen capture of your work and value it as an excellent documentation of the fundamentals of Boolean algebra. Thanks again for your input.

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03-15-2019
12:18 PM

03-15-2019
12:18 PM

Re: Set Theory

Hi,

.... undoubtedly Valery is very valid ....

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03-15-2019
12:21 PM

03-15-2019
12:21 PM

Re: Set Theory

Yes, her contributions are most appreciated.

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03-17-2019
09:10 AM

03-17-2019
09:10 AM

Re: Set Theory

Hi, Fred,

Thanks for the information. I’ve noticed worksheets posted by some of our colleagues in the community using symbols from set notation such as “union” ∪, “intersection” ∩, “subset” ⊆ and others and using those symbols as operators in evaluating sets. In both Mathcad Prime 5 and Mathcad 15, however, they are included as symbols rather than operators and do not appear to have any operational functionality. In addition, the only functionality I’ve found is the use of the element operator ∈ which is restricted to the evaluation of “real” ℝ, “rational” ℚ, “integer” ℤ, and “complex” ℂ numbers.

I’ve also noticed that the sets used in the worksheets are enclosed in parentheses rather than braces which would be appropriate for sets. I haven’t been able to reconstruct those expressions in either Mathcad 15 or Mathcad Prime 5 so it looks like I have a little more homework to do.

Thanks for the information. I’ve noticed worksheets posted by some of our colleagues in the community using symbols from set notation such as “union” ∪, “intersection” ∩, “subset” ⊆ and others and using those symbols as operators in evaluating sets. In both Mathcad Prime 5 and Mathcad 15, however, they are included as symbols rather than operators and do not appear to have any operational functionality. In addition, the only functionality I’ve found is the use of the element operator ∈ which is restricted to the evaluation of “real” ℝ, “rational” ℚ, “integer” ℤ, and “complex” ℂ numbers.

I’ve also noticed that the sets used in the worksheets are enclosed in parentheses rather than braces which would be appropriate for sets. I haven’t been able to reconstruct those expressions in either Mathcad 15 or Mathcad Prime 5 so it looks like I have a little more homework to do.

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03-18-2019
10:12 AM

03-18-2019
10:12 AM

Re: Set Theory

Hi, Luc,

I found that entering the same expressions in Mathcad Prime 5 that are shown in your worksheet results in error messages. I downloaded Mathcad Prime 5 for a power system analysis project and found differences between Mathcad 15 and Mathcad Prime 5 which I probably should have researched before my purchase. In any event, I understand that as a registered user of Mathcad Prime 5 I can download Mathcad 15 but though that I would touch base with you to determine which version of Mathcad you used to create your worksheet.

Thanks for the information!

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03-18-2019
12:04 PM

03-18-2019
12:04 PM

Re: Set Theory

I use Mathcad 11.

Success!

Luc