Questions 1
Answers 258


The following presentation is adapted from conversational dialogues with Lancelot Link for stochastic measurement errors in the physical sciences.  



To calculate the error range for uncorrelated and random errors, use Gauss’s equations for normal distribution of errors. Using the Gauss equations, gives a 68% confidence interval the measurement error is within this range.

Here are some basic derivatives from the Gauss equations:


\(\small \text{If Q is a combination of sums and/or differences, then the sigma (error) of Q is equal to } \\ \sigma Q = \sqrt{(\sigma a)^2 + (\sigma b)^2 . . . + (\sigma x)^2 . . . } \\ \text{If } Q = b^2 \text{ then } \sigma Q = 2(\sigma (b)) \text{ where } \sigma (b) \text{ is the error of (b)}\\ \text{If } Q = \sqrt{(b)} \text{ then }\sigma Q = \frac{1}{2} (\sigma (b)) \text{ where } \sigma (b) \text{ is the error of (b)}\\ \text{Note how the exponent becomes the multiplier of the error.}\\ \small \text {For this equation, the easiest method is to calculate each error as a }\\ \small \text {decimal and then use the sum of the decimals to calculate the error range. }\\ \text {Uncertainties (In decimal) for a, b, and c. }\\ a_1 = \frac{0.1}{1.3} = 0.0769\\ b_1 = (2)\frac{0.2}{2.8} = 0.1428\\ c_1 = (0.5)\frac{0.1}{0.8} = 0.0625\\ Q= \frac{1.3 \times (2.8)^2}{\sqrt {0.8}} = 11.4 \pm ((0.0769 + 0.1428+ 0.0625) * (11.4))\\ Q= 11.4 \pm 3.2 \\ \small \text { note: pay attention to significant figures when recording the final error range. }\\ \\\)


Relating to this question and others you’ve posted on here , another important thing you need to do is Stop being a lazy dolt!

I would have answered your chemistry questions, except I was too lazy. I caught this laziness from you—it’s more contagious than dumbness.indecision




GingerAle Jan 6, 2018

Your computer program is a classic example of GIGO. Even if your program worked properly, it will never determine if a number is irrational. At best, it will give the fractional equivalent of a decimal proving it rational. It should always do that, because you are entering a finite number of decimals. You coded it to say otherwise, but that doesn’t make it true.


Computers are not magical machines Mr. BB. Computer coding isn’t the same as an incantation you’d say to a crystal ball.  Computers do what you tell them to do; that’s not the same as what you want them to do.    


I’m not the only one who knows you as an incompetent mathamation and coder.   I’m not your first Troll, either. That honor goes to Dragonlance. He’s one brilliant kid, for sure. 

Here are two of his comments:


... One more thing computers and calculators can’t cope because they are machines. They don’t think or love or hate or give a rat’sass about anything. That is a good thing because it would never do anything for you. Only humans cope. Well some humans do. You do not know much about computers or calculators do you?—Source


He has several troll posts directed toward you. He addresses and refers to you as “Anol Retentive” sometimes adding the “constipated hog” description, and as the “banker man.” One time he suggested, “You should go lock you self in a bank vault until you feel better. Make sure the time clock is set for next year.” Source 


Sounds like good advice! While you are in there, you should study up on irrational numbers and computer programming.




GingerAle Dec 24, 2017

Well, thank you for the catered meal, Mr. BB! Crow is a delicacy for us chimps, and plantains are a fine complement for such a meal, especially when boiled and reduced in blarney sauce.   I usually dress for fine dining, so I will don my gay apparel and Troll the ancient Mr. BB’s carol: Troll-la-Troll-la-Troll, la-Troll-Troll, Troll!


Lancelot Link had Stu, and Nauseated had Sorasyn, but they left, taking their dumbness elsewhere.  I have you, Mr. BB, the stubborn, relentless, intractable Blarney Banker of lore: a pseudo intellectual with a multiplicity of advanced dimwit degrees in arrogant stupìdity, a professor of misinformation, who teaches with authority and irritation.


One usually needs a scanning electron microscope to find an error by Sir CPhill, That’s why the errors are “itsy-bitsy, teeny-weeny, microscopic, nearly infinitesimally small,” but still calculable. For you, I need no such instrument. A casual stroll through the forum shows a path, clearly marked by stupìdity, mòronic analysis, and toxic misinformation, leading right to your hovel.


You may not believe this, but I’m glad you’re here.  The most successful Trolls have a reliable parade of stubborn dùmb dùmbs, or a relentless, indefatigable dùmb dùmb who always gives the wrong answer to “What is the airspeed velocity of an unladen swallow?”  No matter how many times my troll character tosses you over the bridge railing into the river, you always come back for more.  With this, you have personified a modern attachment to the ancient legends of Camelot and its Trolls.   


We all owe you a debt of pseudo gratitude for the unwitting humor you cause.indecision




GingerAle Dec 22, 2017