The probability density function, often denoted as pdf, is a function that describes the probability of finding a random variable within a defined range. The significance of the pdf, f(x), is that f(x)dx is the probability that the random variable x'...

In mathematics, a probability density function (pdf) is a function that represents a probability distribution in terms of integrals. Formally, a probability distribution has density f, if f is a non-negative Lebesgue-integrable function...

ABSTRACT Probability density functions (PDFs) of daily velocities from subsurface floats deployed in the North Atlantic and equatorial Atlantic Oceans are examined. In general, the PDFs are approximately Gaussian for small velocities, but with significant exponential tails for large velocities. Correspondingly, the kurtoses...

ABSTRACT A major source of anxiety for engineering and science majors who must take calculus is the topic of integration. The techniques of integration necessary for solving practical problems in the sciences are lengthy and complex. In this paper, we are introducing a...