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Mathematics

Education & Academic

A Modern eTextbook on Laplace Transforms for Engineering, Science and More

The Laplace transform is such an effective tool for solving problems in the fields of science and engineering—it’s one of the main tools available for solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). I’m excited to announce that the notebook version of Laplace Transforms in Theory and Practice: A Computational Approach by Hrachya Khachatryan is now available as a free download from Wolfram Media for all the world to learn this beautiful subject.
Juan Ortiz, Kernel Developer, Mathematical Computation R&D
Education & Academic

All Elementary Functions from a Single Binary Operator

A single two-input gate suffices for all of Boolean logic in digital hardware. No comparable primitive has been known for continuous mathematics: computing elementary functions such as sin, cos, sqrt and log has always required multiple distinct operations. Here I show that a single binary operator, eml(x,y)=exp(x)-ln(y), together with the constant 1, generates the standard […]

Andrzej Odrzywolek, IFT UJ
Education & Academic

Checkmate! Dominate the Competition by Learning Game Theory with Wolfram Language

“‘Tis better to have loved and lost than never to have loved at all.’ In other words, love is a dominant strategy.” ― Avinash K. Dixit, Thinking Strategically: The Competitive Edge in Business, Politics, and Everyday Life How do people make decisions? How close can mathematics imitate complex decision-making scenarios? What is rationality, really? What are the payoffs of war, marriage or revolution? What does mathematics have to say about making life-changing decisions? The answers to these questions require an understanding of game theory, which is otherwise known as the mathematics of decision making. An understanding of game theory is required for professionals in an increasing number of fields, such as economics, business, political science, psychology and computer science.
Marc Vicuna, Kernel Developer, Algorithms R&D
Education & Academic

Learning Decision Process Theory with a Wolfram Language Toolkit

In our daily lives, individuals, corporations and societies are constantly involved in making decisions. We hope to make optimal choices, especially when faced with recurrent decision processes. Thus we care about why and how our decision processes change over time. As a practicing engineer and an instructor in higher education, it is my opinion that a course on how optimal decisions are made and change should be part of a standard curriculum for a wide range of fields, including engineering, business, economics, project management and social sciences.
Gerald H. Thomas, Guest Author
Current Events & History

What’s Up with Daylight Saving Time? A Brief History and Analysis with Wolfram Language

In the next few days, most people in the United States, Canada, Cuba, Haiti and some parts of Mexico will be transitioning from “standard” (or winter) time to “daylight” (or summer) time. This semiannual tradition has been the source of desynchronized alarm clocks, missed appointments and headaches for parents trying to get kids to bed at the right time since 1908, but why exactly do we fiddle with the clocks two times a year?

Nick Lariviere, Kernel Developer, Algorithms R&D
Education & Academic

A Whole New Ball Game: Game Theory in Wolfram Language 14.2

Do you want to make optimal decisions against competition? Do you want to analyze competitive contexts and predict outcomes of competitive events? Do you need to elaborate strategies and plans against adversity and test the effectiveness of those strategies? Or are you simply an undergraduate student struggling to cope with a required course on game theory at your college?
Marc Vicuna, Kernel Developer, Algorithms R&D
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