Residential heating systems sit at the intersection of physics, engineering and environmental constraints. While it is easy to say that "better insulation reduces heat loss" or that "geothermal systems are more efficient...
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When building complex systems—especially in automotive, energy or industrial domains—we often run hundreds of simulations to validate performance across real-world conditions. But running simulations...
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We validate a safety requirement in a model of a chemical reaction that, if a decomposition activation temperature is reached, can lead to a thermal runaway. To do this we use the new validation functionality...
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We validate performance and safety requirements in a model of a group of 5 planes performing aerobatic maneuvers. To do this...
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We validate a safety requirement in a model of a group of 5 planes for which their destinations are putting them in direct collision paths. To do this...
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We validate a performance and a safety requirement in a simple model of an electrical vehicle. To do this we use the new validation functionality in the Wolfram Language. We test...
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Engineering teams face the same dilemma: Oversimplify and you miss airflow dead zones that ruin comfort. Overcomplicate too soon and you waste weeks of compute on irrelevant cases. The real answer? A hybrid...
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Can a kettle learn when to stop heating? This workflow explores how a reinforcement learning (Q-learning) agent can learn to control a physical system—a virtual electric kettle—using a hybrid of simulation and machine...
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In many engineering and scientific applications, simulating physical systems can be computationally expensive—especially when dealing with complex models governed by differential equations. Surrogate modeling offers a solution...
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When designing industrial processes, physics is just one piece of the puzzle. We often create models to simulate fluid flow or thermal behavior. But what happens when we need to integrate discrete control logic—especially...
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Modelica is a powerful language for modeling complex systems, but getting started can be daunting. Whether you’re stuck on a syntax issue, need help with code snippets or need help understanding the error messages, having an assistant...
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Electrical engineering is the technological field responsible for the design and development of components that make modern devices functional and efficient. In a computer, for example, the central processing unit (CPU) is...
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A wind turbine gearbox, susceptible to erratic wind loads, frequently fails well before its intended lifespan. Such failures, occurring globally, not only cause significant downtime but...
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The Swedish Air Force has an annual tradition of greeting the people of Sweden at the end of the year by flying their fighter jets in a formation shaped like a Christmas tree. Besides...
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Have you ever watched Shark Tank or Dragons’ Den? Were you intrigued by the pitches of the founders? After the pitch, you might have heard the sharks or the dragons asking about...
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Bowling is a simple game that consists of a ball, 10 pins and a lane. You take the ball, come to the starting line, aim between pins 1 and 3 and throw the ball. You instinctively assume that...
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In a relatively popular marketing device in the past decade, chickens found their way into online advertising and TV commercials, where their impressive focusing and stabilization skills were displayed. Hold them...
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You may not know what a Roland TR-808 Rhythm Composer is, but you have most certainly heard it. The TR-808 is a programmable drum machine released by Roland in 1980. The 808 is...
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System dynamics (SD) is a very powerful and flexible modeling paradigm, ideally suited to tackle strategic business, economics and public policy issues. Some years ago...
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Wolfram System Modeler 12.2 was just released, featuring things such as personalization of plots, new model libraries and extended GUI support for advanced modeling. One of the other additions...
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Have you ever thought about making your own musical instruments? What about making mathematical models of your instruments? Whether you’re someone looking for a cost-effective alternative...
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How can you make teaching come alive and be more engaging? For many educators, the answer turns out to be not so much a single solution, but rather a set of tools that...
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Robert Prince-Wright has been using Mathematica since its debut in 1988 to develop computational tools in education, business consulting and offshore engineering. We recently talked...
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Life science teaches us to answer everything from "How can vaccines be used to indirectly protect people who haven’t been immunized?" to "Why are variations in eye color almost exclusively present...
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