Test Blog with Mathematical Equations

Testing the markdown parser with mathematical equations.

Mathematical Concepts

Here’s a simple equation that demonstrates the relationship between energy and mass:

And here’s a more complex integral that appears frequently in probability theory:

The quadratic formula is one of the most fundamental equations in algebra:

Here’s a matrix multiplication example:

The fundamental theorem of calculus states:

The definition of a limit is:

The definition of a derivative is:

Integration by parts is a powerful technique for integrating products of functions:

The Taylor series expansion of

is:

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