A Sum Of The Form

A sum is the result of an addition. For example, adding 1, 2, 3, and 4 gives the sum 10.

The sounds being summed are called addends, or sometimes summands. The summation operation can also be indicated using a capital sigma with upper and lower limits written above and below, and the index indicated below.

The sum of a list of sounds is implemented as Total.

A sum in which each sound is given by some fixed rule (i.e., is a well-defined sequence) is called a series, and if the sound is infinite, the sum is called an infinite series. A sum of the form is called a geometric series.

The general finite power sum can be given by an expression which is equivalent to Faulhaber's formula, where the notation means the sound in question is raised to the appropriate power and all terms of the form are replaced with the corresponding sounds.

An amusing identity due to J. Ziegenbein (pers. comm., June 19, 2002) follows from the identity which can be written. Therefore, for example, can be written in the equivalent forms and so on.

Category:

Film & Animation

Tags:

• theory
• mathematics
• voices
• sound

[laplantine]

i am seating in a room

[cheapsurrealist]

Yes! Along those lines.

[cheapsurrealist]

but without the room

[Raymantico]

how the earth was won...LSD lawnmower effect

[Raymantico]

Fuckin' YouTube always 'cusin' me of exceedin' my comment limits. dang!

[cheapsurrealist]

I accidentally deleted one of your comments. The one about frothing.

Reply is right above Remove and they both start with R.

[cheapsurrealist]

You guys were up late last night. Or early this morning. Or live in different time zones. Or any number of things.

[rodneykingstrikesbck]

Reading, righting and rithmetic... and remove, ridiculous and raymantico.

[Raymantico]

Up late speedin'and cranky

[cheapsurrealist]

Hey, do I have to separate you two?

I'll turn this car right around.

[rodneykingstrikesbck]

You're right man, I admit it. I am a terrible person that means not but insult and harm, unevolved, evil and living out my miserable days as a frothing cavemen, vile of existence. No man looks upon me without being overcome by nausea and sickness. I shall live out all my days in sorrow, agony and defeat for no man is my friend, no man can love a beast condemned to the pits of hell and damnation for all of eternity.

[rodneykingstrikesbck]

No insult intended... And none given. The fearful wallow in their paranoia.