Abstract: Much research has been devoted to complex-variable optimization problems due to their engineering applications. However, the complex-valued optimization method for solving complex-variable ...

Subscribe! Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help ...

After a heart attack, the heart struggles to recoup and maintain energy. One third of patients develop heart failure as a result ⎯ a condition that impacts 6.8 million Americans and carries a high ...

California’s plan to hit its richest residents with a one-off wealth tax is a long shot, and its design has problems. But a look at who picks up the tab when billionaires scrimp on taxes, and how ...

Do you stare at a math word problem and feel completely stuck? You're not alone. These problems mix reading comprehension with complex math concepts, making them a common hurdle for students. The good ...

Practice projectile motion with fully solved physics problem examples. This video walks through step-by-step solutions to help you understand equations, motion components, and problem-solving ...

Enzymes help with specific functions that are vital to the operation and overall health of the human body. They help speed up chemical reactions and are essential for respiration, digestion, muscle ...

Dr. JeFreda R. Brown is a financial consultant, Certified Financial Education Instructor, and researcher who has assisted thousands of clients over a more than two-decade career. She is the CEO of ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

NYT Wordle hints Today, December 5, 2025: Happy Friday! You have made it to the end of the week, and Wordle #1630 is here to test your vocabulary one last time before the weekend. Today's puzzle is ...

“Gain of function” (GoF) research refers to genetic modification that deliberately enhances the abilities of an organism — often a virus or bacterium — to study how such changes affect its function, ...

Mathematician Terence Tao recently described how he used ChatGPT to help solve a math problem on MathOverflow. Tao had a theoretical analysis but needed concrete numbers to check certain inequalities.