Integral solution to pi numeric result

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    Integral Numeric Pi
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Discussion Overview

The discussion revolves around interpreting a mathematical expression involving the term "inverted sign" and its relation to the numeric result of pi. Participants explore the meaning of the expression and seek clarification on its evaluation, focusing on the potential use of the inverse sine function.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • The original poster seeks a numeric result for "2 times the inverted sign of 1 minus the inverted sign of 0," expressing uncertainty about whether the result is finite or infinite.
  • One participant interprets "inverted sign" as the negative of a number, calculating the expression as -2.
  • Another participant suggests that "inverted sign" might refer to the inverse sine function, proposing the expression 2*ArcSin(1) - ArcSin(0) which equals pi.
  • A participant confirms the interpretation of the expression as 2 sin^{-1}(1) - sin^{-1}(0) and provides a detailed breakdown of the calculation leading to pi.
  • There is acknowledgment of the confusion between "sign" and "sine," which has led to misunderstandings in the discussion.
  • Participants express gratitude for the clarifications provided and share their experiences navigating the mathematical concepts involved.

Areas of Agreement / Disagreement

There is no consensus on the original meaning of "inverted sign," as participants propose different interpretations. Some agree on the interpretation involving the inverse sine function leading to pi, while others maintain different views on the expression's evaluation.

Contextual Notes

The discussion highlights potential ambiguities in terminology and the importance of precise language in mathematical expressions. The interpretations depend on the understanding of "inverted sign," which remains unresolved.

Who May Find This Useful

This discussion may be useful for individuals interested in mathematical interpretation, particularly those exploring the connections between different mathematical functions and their representations.

Danimel
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I am posting for my son, who needs the full readout for a formula, more than what a small graphing calculator can do. Is there such a program for that? Am I in the right place to get an answer for this?
I need the numeric result of "2 times the inverted sign of 1 minus the inverted sign of 0."
Does it go on forever or does it end?
I would appreciate any help in this for my mathmatical skills are limited, and I would like to help my son who is in prison and does not have access to computers of any sort.
 
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Is this the expression you're asking about?
2(-1) - (-0)

If so, the value is -2.

I'm interpreting "inverted sign" of something as the negative of something.
 
Is it possible the the original poster meant 2*ArcSin(1)-ArcSin(0) when he wrote "2 times the inverted sign of 1 minus the inverted sign of 0"? 2*ArcSin(1)-ArcSin(0) is exactly Pi.

If you go to www.wolframalpha.com and you enter 2*ArcSin(1)-ArcSin(0) and you use ArcSin instead of "inverted sign" then that will give you an exact answer and will give you lots of decimals of an approximation.

That web page will also answer lots of other mathematical questions if you can guess the correct words to use.
 
I want to thank those who responded to the question posed. It was not a question meant to deceive or trick. My apologies. My son, as I said before, is in prison with no access to computers or calculators. He felt through the work that he had been doing that he had found a finite solution to pi, which I have discovered in my inquiry into this, has already been attempted/done. I would like to thank Bill who referred me to the wolframalpha site with an entry. Quite helpful. I was simply an English, French, theatre major mom lost in the realm of math on a quest to help her son.
 
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But is it true then, that by "inverted sign" you mean the "inverse sine" function?

[itex]2 sin^{-1}(1)- sin^{-1}(0)= 2(\pi/2)- 0= \pi[/itex]
because [itex]sin(\pi/2)= 1[/itex] so [itex]sin^{-1}(1)= \pi/2[/itex] and [itex]sin(0)= 0[/itex] so [itex]sin^{-1}(0)= 0[/itex].

Note the important difference in spelling between "sign" and "sine"! Until I saw Bill Simpson's response, I was completely stumped.
 
Thank you, too, HallsofIvy, for the enlightenment of "sine"!
 
Also, for future reference, please don't post the same message in two or more sections.
 
My overly zealous ignorance in navigating this site earned me yet another chastisement.
Advice duly noted, Mark44.
 

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