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The Quadratic Equation

The quadratic equation is always the answer. Time and time again, while tutoring students, I encounter a resistance to using an unfailing tool called the quadratic equation. This simple algebraic mathematical statement allows a student to find the roots of any clumsy second order polynomial with...

Navier-Stokes is hard?

Navier-Stokes is hard? Author: James Lowman I was recently asked the question; "How can the Navier-Stokes equations both describe our observable world and not be known to always have solutions in 3D?" For those that don't know, the Navier-Stokes (NS) equations represent a mathematical model that...

The Natural Logarithm Rules

The natural logarithm, whose symbol is ln, is a useful tool in algebra and calculus to simplify complicated problems. In order to use the natural log, you will need to understand what ln is, what the rules for using ln are, and the useful properties of ln that you need to remember. What is the...