Recent content by jedishrfu

Sadly, PF does not accept or review personal content unless it has been peer-reviewed and published in a reputable journal. For that reason, I had to delete your preprint paper post with an unacceptable warning. Jedi

And Years turn into legend. It's a good time to close this thread, which has been spinning around the notion of ##a^0=1## since time immemorial, and move on to new fields. Thank you all for participating here. Jedi

From the Forbes daily newsletter June 17, 2026:

Cookie law is a funny beast. Each country or region may have a different take on it. The law is based on where the user is from and not where the website is hosted. European regulations often dictate how a website should respond, especially if the website is small or caters to EU members...

Infintesimals are part of the hyperreals and so basic arithmetic is allowed ie canceling like infintesimals. Hyperreal number field was rigorously defined in mathematics by work from Abraham Robinson in 1961.

No but hyperreals could offer a check on your answer which I realize is a poor second to, getting the epsilon-delta proof correct in an analysis test. —- Some time ago, a physicist gave a great way to look at the epsilon-delta definition by changing the names of its component values to error...

This may not be germane to the subject of this thread, but epsilon-delta proofs have been the bane of many calculus students, myself included, despite having been a physics major. There is a calculus text by Keisler that introduces hyperreal numbers and infinitesimals early on, postponing the...

Trying to understand why ##a^0 = 1## by using the positive-integer interpretation ##a \times a \times a \times \cdots## is the wrong approach. Everything in mathematics is either a definition or a theorem. For positive integers (n), exponentiation is defined by ##a^n = \underbrace{a \cdot a...

It might be worthwhile to look up Fourier transform side effect on the matlab site. It you're using Matlab with a valid license you might be able to post a question on their website along with the image, your code, and anything done to the image like cropping it. Closing this thread because...

In the book, Contact in the infinite digits of pi the image of a circle was found.

I think you could work it out by defining your numbers as polynomial sums. Then your relationship becomes $$\Sigma ( b_n * 10^n ) = constant * \Sigma( a_n * 10^n )$$ Next add the constraint that the first 3 a values are equal to the first 3 b values The remaining work is left to the OP

Thanks for posting that video. I've watched it several times prior so what's one more time. I've also read the Farewell to the Master but it's hard to read in places where alternate words are used to describe some device we use now. I guess I'll have to revisit both of these and Forbidden...

I had a woman customer once ask me if the store sold self-abasement tape. When I asked what it was, she said you it's sticky on both sides Oh okay you want self-adhesive tape and her to out hardware department.

There was one poor Miss America beauty contestant who flubbed her final essay question in front of millions by just aimlessly rambling. through her answer. She reminded me of the actress in the Ghostbusters movie opening where Bill Murray smiles at her not caring what she said while zapping...

One idea is to have the students do it anyway to learn the procedure and to see which student contaminated their sample. Veritaseum did a video a few years back where he put uv powder on a teachers hand and asked her to greet their class shaking the hands of the first three students. At the...