This is just elementary linear algebra. Now, if we hold y constant and vary x, how much does x′ vary? In other words, what is the partial derivative of x′ with respect to x? This is denoted by ∂x′/∂x, and clearly we have ∂x′/∂x = cos(θ). Now we ask a ...
Luke has taught high school algebra and geometry, college calculus, and has a master's degree in education. Cite this lesson The binomial theorem is all about patterns to mathematicians and is a method for raising algebraic expressions with two terms to an exponent. Learn more about the defin...
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6 Ways to Support Your Child's Transition from Elementary to Middle School While taking calculus in high school may boost a students' college admission chances, Dykema adds that plenty of students who wait to take calculus until college are just as successful as their counterparts who took it ...
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It is fairly easy to derive the monotonicity of from this, by using the expansion of Schur polynomials into skew-Schur polynomials (as was done in this previous post). The second proof of monotonicity avoids representation theory by a more elementary argument establishing the weaker claim that ...
An individual, group, structure, or other entity regarded as an elementary structural or functional constituent of a whole. Chapter A distinct period or sequence of events, as in history or a person's life Steamboat travel opened a new chapter in America's exploration of the West. Unit A gr...