Other examples include chebyshevu, legendrep, jacobip, ultrasphericalc, hermiteh and laguerrel. For expansion, it supports usage as quasi-arrays where one axis is continuous and the other axis is ...

"An expression that remains unchanged even if $${x}$$ and $${y}$$ are swapped"—this is the intuitive image of a symmetric polynomial. $${x + y}$$, $${xy}$$, and $${x^2 + y^2}$$ all remain the same ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Quantifying structure complexity in filamentous matter, like proteins and polymers, via topological metrics, can be of prohibitive computational cost. A classical example is the Jones polynomial, ...

a notebook-first introduction to QSVT and QSP a reusable Python package for polynomial design, spectral transforms, and small PennyLane QSVT checks where the backend can synthesize the transform ...

👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms, we will focus on ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

James Chen, CMT is an expert trader, investment adviser, and global market strategist. Samantha (Sam) Silberstein, CFP®, CSLP®, EA, is an experienced financial consultant. She has a demonstrated ...

Solving one of the oldest algebra problems isn't a bad claim to fame, and it's a claim Norman Wildberger can now make: The mathematician has solved what are known as higher-degree polynomial equations ...

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Abstract: This article focuses on the robust output regulation problem with prescribed performance for uncertain second-order nonlinear systems with non-polynomial nonlinearity. According to the ...