# Formal Sciences

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#### Statistics

Statistics are present in almost every aspect of life. As a primary form of mathematical analysis, statistical data influences everything from insurance rates to consumer economics. Learn more about why statistics careers are fun and highly coveted among professionals ...

#### Systems Science

Systems science is a field of study that organizes independent parts within a larger whole. The process helps to identify places where improvements might make every element of a network improve. Read about how the study of systems has significant implications for the natural and human-made world ...

#### Chinese Remainder Theorem

This definitive guide covers proofs, examples, algorithms, applications, and history of the Chinese Remainder Theorem. It also includes links to additional resources such as online articles, courses, books, and tutors to help students learn from a variety of sources. Professionals can also use these resources to increase their knowledge of the field or help structure courses for their students ...

#### Related Rates (Applying Implicit Differentiation)

In this topic we show how implicit differentiation and the chain rule can be used to calculate the rate of change of one variable in terms of the rate of change of another variable (which may be more easily measured). Introduction to Related Rates The procedure of solving a related rates problem is to find an equation that relates two ...

#### Data Services for Self-Publishing (Everything to Know)

The data world is hard to break into if you're not literate in numbers and statistics. Luckily, professionals are available to offer data services. This way, your book is ready for distribution while ensuring your content is informative and accessible. Find out what data services can do for your next self-published project ...

#### Linear Regression Using R: An Introduction

Stuck writing linear regressions? Fret not. Linear Regression Using R: An Introduction to Data Modeling will take you back to basics. It is a textbook for beginners that explains how to work in this particular computer language. It takes a keen mind and a wealth of knowledge to data mine. The ability to extract data and analyze it has become ...

#### Notes on Diffy Qs: Differential Equations for Engineers

Do you see differential equations and think dreadful equations? This doesn't have to be. Notes on Diffy Qs is an engineer's guide to differential equations. The book is suited for engineering students taking their first course on "diffy Qs." Differential equations are the language of many sciences, including engineering. Therefore, they are very important to understanding the work that engineers ...

#### Mathematics

Mathematics uses numbers as a language to explore some of the world's most complex theories and problems. Children in school associate math with difficulty or confusion. With proper study, the subject can become an exciting way to view the world. Read all about the topic and its many branches ...

#### Computer Science

Computer science is the study of what computer applications can do for society. A degree in the field offers several opportunities for jobs and areas of study. The growing influence of digital technology makes computer science one of the most important subjects today. Learn about the history and importance of this field ...

#### Current Events in Mathematics

Current events in mathematics point to a growing field with a diversifying range of utilities and practices. The history of mathematics is an interesting dive into the past, present and future. It's long been one of the most studied disciplines. In fact, it's older than most other fields of study in general. To be fair, it does date back to ...

#### Probability Density Functions (Applications of Integrals)

Applications of Integrals We will consider the following applications: average value of a function over a region, mass of a lamina, electric charge, moments and center of mass, moments of inertia, and probability density functions. Average Value Recall the average value of an integrable function of one variable on a closed interval is the integral of the function over the ...

## Contributors

• Created by professionals with the intent of helping others become professionals, Direct Knowledge began by simply pulling together the best articles and media it could find. The company was officially founded on November 10, 2017 by a professor who wanted to share his knowledge with anyone. With an academic background and a passion for professional and individual development, the Direct Knowledge mission started with one passion: grow knowledge and offer a comprehensive place to learn, discuss, and network.