Knowledge in Logic & Mathematics

GEOMETRIC DISTRIBUTION

In probability theory and statistics, the geometric distribution is either of two discrete probability distributions: The probability distribution of the number X of Bernoulli trials needed to get one success, supported on the set { 1, 2, 3, ... }

HYPER GEOMETRIC DISTRIBUTION

In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws, without replacement, from a finite population of size that contains exactly objects with ...

LACK OF MEMORY in geometric distribution

Examples of the Memoryless Property It doesn't matter whether or not the last five times you threw the dice it came up consistently tails; the probability of heads in the next throw is always going to be zero.

EXPONENTIAL DISTRIBUTION

In probability theory and statistics, the exponential distribution is the probability distribution of the time between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate.

MOMENT GENERATING FUNCTION

In probability theory and statistics, the moment-generating function of a real-valued random variable is an alternative specification of its probability distribution

Unit Impulse Function

It is sub part or sub topic of Laplace transformation which is Unit impulse function.โˆซ๐‘“(๐‘ก)โˆž0๐›ฟ(๐‘กโˆ’๐‘Ž)๐‘‘๐‘ก=๐‘“(๐‘Ž)is function representation.Dirac Delta Function also it's well known name.

Laplace Transform of integrals

It is t he Laplace transformation of integrals .statements includes Statement: If ๐ฟ{๐‘“(๐‘ก)}=๐‘“(๐‘ )ฬ…ฬ…ฬ…ฬ…, then ๐ฟ{โˆซ๐‘“(๐‘ก)๐‘‘๐‘ก๐‘ก0}=๐‘“(๐‘ )ฬ…ฬ…ฬ…ฬ…๐‘  .It is example to convert integral function

Division by t Laplace transform

Laplace transformation of function dividing by t.

Heaviside unit step function

This knowledge is based on the conversion of Heaviside unit step function in laplace transformation.

Laplace derivatives transformation

Laplace transformation derivatives is transformation of derivatives in Laplace.

Inverse transformation by nth derivatives

This is concept of Laplace transformation of inverse transformation of nth derivatives. It is transformation of inverse by using nth derivatives.

Inverse Laplace Transform

It consist of basic knowledge of inverse transformation in Laplace. It consist of what is inverse transformation,it's formulae and more.