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).
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.
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.
Sigma is a discrete sum, a sum with steps. Eg. add the numbers from 1 to 10 or add the numbers 1/2, 1/4,... A sigma always has a concept of a next thing to add, even if the list of things goes on forever. An integral is a continuous summation. It is a summation in that we are adding up the area under the curve, for example, but it is continuous in that because we are adding things of arbitrary smallness it's not really possible to always point to the individual terms that are being added because they become some kind of continuous blur. Instead we use some mathematical technique (integration). But still it is a kind of summation.
Integration is a special case of summation. Summation is the finite sum of multiple, fixed values. Integration is the limit of a summation as the number of elements approches infinity while a part of their respective value approaches zero.
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.
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.