How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

Formulas are powerful tools for performing calculations and analyzing data in Excel. In this beginner’s guide, you’ll learn how to use formulas (with or without help from the Copilot AI assistant) and ...

The Applied Mathematics Graduate Group is an interdisciplinary group of over 90 faculty and is recognized for the mathematical rigor of its programs and its dynamic research atmosphere. The program is ...

Abstract: Low-power and high-speed BLDC(Brushless DC) motor is widely used in vacuum cleaners. This paper presents a sensorless speed control scheme for a high-speed BLDC motor of a hand-stick vacuum ...

The aim of this Perspective is to elaborate on previous descriptions of the internal-model hypothesis for the control of mental activities, focusing on these more recent findings. I discuss our ...

Leading the way with our groundbreaking research and innovative teaching spanning chemistry, physics and astronomy, and mathematics and statistics. Our students go on to make an impact across a huge ...

Many cells in multicellular organisms are specialised. They have specific roles in the organism of which they are part. Their structure is adapted to their function. They are often grouped together ...

Green plants and algae use light energy to make glucose and oxygen from carbon dioxide and water. Temperature, carbon dioxide concentration and light intensity can affect the rate of photosynthesis.

Abstract: This article presents a delay-suppressed sliding-mode observer (SMO) to observe the real-time rotor position of a permanent magnet synchronous machine (PMSM) controlled by vector control ...

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This advanced, online-enabled oil analysis program provides immediate access to lubrication specialists and customized recommendations based on proprietary oil analysis and test control limits. Manage ...