This thread topic I considered the most Engineers attended forum in Pacland. Many Paclanders were forced to admit or claim that they are Engineers in this forum. I remember at least 5 Paclanders admitted they are Engineers or BS Math. I am one of those who have the most number of posts in this thread and i just realized (after backreading), I was there up to the last page.
To cut this intro short, I am here obviously to debunk (even if done in jest), I am not the poser as claimed by TS. I chose to post examples from the linked thread and let others decide or point out who is a fake.
At least you have to concede that variation in the answers does not come from the classical approach to the problem, but rather in the way the logic is written by programmers into their CALCULATORS.
CarneSeca wrote:
That sharp calculator is all hardware. Or the API is likely written by a hardware engineer.
Remember back in the days, the hardware engineers did not want to acknowledge the software engineers. Not until they've realized that there are such things as poorly designed softwares.
You need to start learning how to distinguish between software engineers and programmers because most engineers are also programmers. Except for civil engineers, of course, they tend to have a hard time with logic.
I don’t think we understood each other very clearly, bro. Since day one, I said that old school Math or the Classical approach will always interpret the answer as 1;
A clear example is this;
I’m now looking at my
ME Handbook, Volume 1, Design and Production, Mathematical Tables, Trigonometry, Sum and Difference of Functions;
tan a + tan b = sin(a + b)
………………......sin a sin b
If I am going to write this down in my computer or calculator which don’t have the “vinculum” symbol “_____”, I will have to choose between “/” or “÷” to represent my equation and in my situation now, I only have this “/”. So, I write down my equation like this;
tan a + tan b = sin(a + b)/sin a (sin b) = sin (a + b)*1/sin a(sin b).
Not, tan a + tan b = [sin (a + b)/sin a]* sin b where sin b becomes part of the numerator as what happens when the 9ners interpret
6/2(1 + 2) = (6/2)*(1 + 2) instead of (6/2)*1/(1 +2).
The problem boils down to this;
The classical Math approach using a vinculum to mean “divided by” or “over” always interpret the answer as 1.
Calculators using computer language have varied interpretation of symbols “÷” and “/” and evaluates the expression as either 1 or 9.
BTW, I'm not a Civil Engineer. I have a BSME and Electronics Eng'g background.
This is not to discredit the Distributive Law (which I fully support) as argument for an answer of 1. But the rule on fractions is a stronger argument to prove the case.
I re-post.
reigncourts wrote:
More on the FRACTION issue:
Quote:
Math Symbols
http://www.solving-math-problems.com/ma ... erbar.html
Overbar Symbol (also called a Vinculum or an Overline) -
In mathematics, an overbar symbol (or vinculum) is used as a grouping symbol. It is a horizontal line drawn over numbers or letters to show they are a group.
The fraction bar (the bar between the numerator and denominator in a fraction) can also be called a vinculum.
By definition, the Overbar Symbol, ________ (or vinculum) is a grouping symbol like parentheses, brackets, etc. and are the first in the Order of Operations in PEMDAS. When all the parentheses and exponents are evaluated Rule 3 of PEMDAS also gives priority to evaluating the fractions’ numerator and denominator before MD left to right.
The following expression is evaluated thus;
6÷2(1 + 2) + 4(2 + 3) – 18(4 - 3) ÷(8-5)x3 =
___6____ + 4(5) - __ 18(1)__ =
2(1 + 2) ………….....(8 – 5)x3
And the beauty of a vinculum or overbar as group symbol or delimiter is
You can now use any symbol for your multiplication or division operator, as shown;
___6____ + 4(5) - __ 18(1)__ =
2*(1 + 2) ………….....(8 – 5)x3
__6__ + 20 - _ 18___ = 1 + 20 - 2 = 19. (Not 1 & 9).
2*3 ………….... 3x3
More examples of the fraction bar or “vinculum”;
Remember that “÷” = “/” = “______”.
1. 6÷(2+3)(3)(1+4) ; Numerator = 6, denominator = (2+3)(3)(1+4) = 15x5 =75
6/(75) = .08
2. 6(2+3)/(3)(1+4); Numerator = 6(2+3), Denom = 3(1+4) = 15
6(5)/15 = 2
3. 6(2+3)(3)/(1+4); Numerator = 6(2+3)(3), Denom = (1+4) = 5
6x5x3/5 = 18.
REMEMBER THE FRACTION BAR OR “VINCULUM” SEPARATES THE NUMERATOR FROM THE DENOMINATOR.
Post subject: Re: 6÷2(1+2)= ? is it 1 or 9?....Posted: Wed May 18, 2011 10:12
reigncourts wrote:
Let me explain what causes this controversy based on my experience with Measurement System. Hopefully, this issue will be put to rest where almost everybody is satisfied with the result. To make it brief, let’s not dwell on the accuracy of the time the events happened or the parties involved except the main participants, namely the English speaking nations headed by the US and UK on one side and the European (non-English) and Eastern side headed by France and Russsia and China.
In order to increase trade or commercial relationship between West and the East, a common language has to be adopted between the two and this obviously would be in the form of a System of Measurement which is the language used in trade and commerce.
France was the logical place to hold the convention for such purpose because of its historical ties with System of Measurement. Historical accounts points to the French rulers cheating on the weights when trading with their subjects has sparked the French Revolution of 1886 (?)
The convention agreed or voted to use the MKS system as international standard, over the English or FPS which was widely used due to the West’s dominance in Trade and Industry at that time. But the reason the West would gladly accede to the majority, of course is to expand their market for their products.
After the convention, the member nations went their separate ways to do their usual business and you might think everybody will start using the MKS system as agreed. It never happened, for how can centuries-old culture be discarded just like that. How many years will it take to change millions of Drawings, Pamphlets and Instructions describing a product and not to mention the product itself which was designed using FPS. The obvious choice is selective application. Use FPS for Western products and MKS for products destined for Eastern or MKS system users.
And finally relating this historical episode on the current topic of 6/2(1 + 2) = ?
Paclanders have voted 83 (for 1) against 71 (for 9) for the correct answer = 1.
But since the 9ners' CALCULATORS which gives an answer of 9 are already out in the market, they would hold on to their arguments that 9 is the correct answer.
The 9ners need not argue any further, they can always sell their CALCULATORS to users who want an answer of 9 or how they interpret the problem.
END OF DEBATE.