Definition: Gamma refers to a fraction of 1/3, i.e., $\frac{1}{3}$. Definition: The Greek letter $\gamma$ (γ) represents an abbreviation for "greek" or "Greek". It is commonly used in mathematics and physics for various quantities that are not directly numeric. Here's the definition: gamma function, $\Gamma(x)$, is a generalized hypergeometric function defined as the integral of 1 over the unit circle from $0$ to $1$. It is often used to compute the volume under curves or integrals in problems involving hypergeometric functions and related topics. In the context of number theory and probability theory, $\Gamma(x)$ is important because it provides a way to express certain mathematical relationships between the gamma function and other special functions. For example, if $X$ and $Y$ are independent exponential random variables with parameter 1/2 (i.e., $X \sim Exp(1/2), Y \sim Exp(1/2)$), then $\Gamma(x+Y)=\Gamma(x)\Gamma(Y)$. This is known as the gamma law, which states that the probability of two events occurring together is proportional to their product. In summary, $\Gamma(x)$ represents a fraction of 1/3 that represents gamma function. It is used in mathematics and physics to represent certain mathematical relationships between hypergeometric functions and other special functions.

Gamma

Definition: The third letter of the Greek alphabet (Γ, γ), preceded by beta (Β, β) and followed by delta, (Δ, δ).

Alright class, settle down now, let’s take a look at this! You’ve got your dictionary open, that's fantastic, it shows you’re keen to learn. It tells us “gamma” is the third, a number we can glean. Think of the Greek letters, in order they appear, Like building blocks of knowledge, wonderfully clear! Beta comes before it, a ‘B’ you see, Then follows gamma, for you and me! And after gamma, steady and bright, Delta is waiting, shining light. So "gamma" simply means the number three, within the Greek alphabet's decree! Does that make sense? Any questions before we move on to our next lesson?