1. Overview Mathematical visualization has a long history in mathematics and is

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1. Overview Mathematical visualization has a long history in mathematics and is one of the most important application areas of visualization. Mathematical visualization utilizes 2D or 3D drawings, animations, and interactive user interfaces for understanding and exploring mathematical relationships among different objects. In this programming assignment you will generate visualizations of two types of mathematical entities: theoretical probability density functions and histograms of existing input data. Both visualizations are used to perform input analysis, one critical and often the first step in many simulation applications. A simulation can be considered as a black box for generating some outputs based on some inputs. For example, to simulate and improve the operations of a banking center, the inputs can be the time between customer arrivals and the customer service time, and the outputs can be the average customer waiting time and the average number of customers in the waiting line. Usually real data are collected for inputs and are analyzed for fitting a probability distribution to them. For example, exponential distribution is a very good representation of the time between customer arrivals. A histogram is a graphical representation of the distribution of a set of data. Its generation will be discussed in detail in Section 3 Tasks. You will first generate histograms for the input data and graphical representations of theoretical probability distributions. Then you will adjust the parameters of theoretical distributions so that they match the histograms. The theoretical distribution that best matches the input histogram will be selected and used to generate input data for the simulation

Explanation / Answer

I hope you wanted to say rephrase instead of rephease .....

let me explain in simple language....

Suppose you have vary big amount of data which is in raw format. and by looking at those plain text we might not get the value of the data. But if we apply our mathmetical visualization and transformation into some sort of visual object that will give more perspective to understand the data without spending long hours. we can directly see the diagram generated through the matghemetical equation/algorithm intelligently and get the most out of it.

Let me just take an example from the real world.

Suppose we are normal human being and we don't really underestand the balance sheets and P&L statement and belive me it's very boring to read it if (you know how to read it).

      But If we convert those Balance sheet ans PL statement into some sort of diagram(bar chart,histogram, circular graph based on years and quarter) based on the data provided.

By looking at the diagram we can easily estimate the growth based on the past data and invest in future.

So this was a very real world example where we can simulate the probable outcome based on the past data through the simulator and take our decision.

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