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Alpha functions usually aim at predicting the thermodynamic properties of specific compounds in a limited range of reduced temperatures. The differences between polynomial alpha functions are mainly ...

Cubic spline interpolation is performed by passing through all the given data points, while the points between the data points are cubic. Therefore we define a piecewise cubic function between the ...

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the 'Software'), to deal in the Software without restriction, ...

A new approach for solving polynomial equations is presented in this study. Two techniques for solving quartic equations are described that are based on a new method which was recently developed for ...

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others. You’re sitting at the end of a long conference table, ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...