The Mystery of Sigma: What It Is and How It Works

AI Thread Summary
Sigma is a Greek letter that signifies summation in mathematics, often represented as an uppercase E. It functions by indicating a range of values to be summed, defined by lower and upper limits, with an expression to the right that is evaluated for each integer within that range. A common application of sigma notation is in the binomial theorem. Additionally, the lowercase sigma represents standard deviation in statistics. Understanding sequences and series is recommended before delving deeper into sigma notation.
lvlastermind
Messages
101
Reaction score
0
I would like to know what sigma is and what it does.

What is sigma?
What does it stand for?
How does it work?
Do you have any examples of how it works?

any help would be appreciated

(im not sure if this should be in the calc section or not)
 
Mathematics news on Phys.org
Sigma is a greek letter that looks like an E.

Sigma is a sign usually indicating summation.

It works by having some expression to the right of it, a number setting a lower limit on the bottom, and a number setting an upper limit on the top. Sometimes, there are constants on the outside (to the left) of it. You then plug in each number from the lower limit to the upper limit into the expression and add them up.

A good example would be the binomial theorem. Since I don't know LaTeX, it would be better if someone else did this.
 
do you know of any links that could expand on this...
 
I give a http://home.comcast.net/~rossgr1/Math/one.PDF of Sigma notation on page 4 of this pdf.

Also lower case sigma is used for standard deviation in statistics.
 
Last edited by a moderator:
http://mathworld.wolfram.com/Sum.html has some pretty easy explanations on the topic.
You probably want to go over sequences and series before going into sigma-math. After that, things should be pretty clear.
 
thanks alot
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Back
Top