The summation rules are hard to type here since the summation format is not supported.I have placed a link to a UC Davis site that gives them all quite clearly.
In order to replace the summation sign with the sign for an integral, one must focus on the object one wants to integrate, and it's environment. To simplify, one can say the the object one wants to integrate has a domain D1 in 2 or 3 space. The remainder, the environment, is all that we do not wish to integrate, which we can label D2. So thusly we create a rule saying that we will sum only over D1. This eliminates the environment, and will isolate the object. From this point, we then break down the object into sub-rectangles (most commonly in mathematics) and assign each subrectangle it's own set of coordinates. Thusly we can take coordinates from the lower right, upper right, lower left, and upper left corners of each subrectangle. Choose a system of orientation, if we choose lower-left, we will underestimate the summation, and if we choose upper right, we will over-estimate the summation. From this point we can say that the summation of the object is equal to the summation of all it's parts. A transative derrivation (property). So, we can say that the summation of D1 is therefore equal to the summation of each subrectangle and it's coordinates: R1[x, y] +R2[x, y] + ... etc.. An integral is the sum of parts over a defined area. So we can conclude that the summation of D1 is therefore equal to the integral of the subrectangles R within the domains of x and y according to the orientation of lower right corner or otherwise established. That's it in a nutshell, I suppose... lukeriverplate
the answer to it is sum or summation
What is the difference between 392 and 247?
the difference is also doubled
Integration uses a summation in the definition of the definite integral, so they are not the same, but they are related. They both yield a type of sum, or area (in the case of integration).
summation is the discreet set of whole numbers whereas integration is the sum of all numbers.
Summation, represented by sigma (Σ) is the discreet version of integration. Integration is the continuous version of summation. It can be somewhat hard to explain the difference between discreet and continuous phenomena. The best way to think about integration is as the area under a line, curve, or function. Think of a triangle formed by lines y=0, x=1,and y=x. written mathematically, this is the integral x=0 to 1 of (x). You can also calculate the area of a half unit circle. integral x=-1 to 1 of (sqrt(1-x^2)). The best way to think about summation is the adding of numbers. sum x=0 to 1 of (x) yields the equation (0+1). sum x=-1 to 1 of (sqrt(1-x^2)) yields the equation (0+1+0).
utdkuyf
integration is reverse of differentiation and vice versa
The summation of a geometric series to infinity is equal to a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.
Diversification is when someone's tight clit is sniffed and integration is when the clit is jizzed on
Virtual Integration is to have control on the departments or businesses in the chain without owning them.where, Vertical Integration is like owning the departments or businesses in the chain.
In all but very exceptional cases there is no difference.
derivative means dividing any thing into various small parts, while summation or integral means adding up various small parts to form a single entity.
Interrogation is where you force someone to tell you and integrate is totally the opposite
Integration results in an equation which gives the area under the original equation between the bounds. Derivation results in an equation which gives the slope of the original line at any point.