An equation is a statement with an equals sign, stating that two expressions are equal in value, for example \(3x + 5 = 11\) Solving an equation means finding the value or values for which the two ...

Linear transformations. Linear operators, change of basis, inner product and the diagonalization problem. Quadratic forms. Convex sets and geometric programming, input/output models for an economy, ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...

Having lowered the bar for the sense in which we hope to solve a system of linear equations, one might wonder whether this quantum algorithm 3 offers a real advantage over classical computing at all.

Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix ...

How many hours did they hire the van for? First we need to put this information into an equation. \(x\) is the number of hours they hired the van for. This is what we have to find. Their total bil ...

We now apply the discussion of the previous section to the special case where f(x) is a polynomial of degree n. We want to find the roots (real or complex) of the polynomial equation (7.3 1a,b) where ...

To run a stepper motor smoothly, it's necessary to apply linear acceleration. However, conventional algorithms to generate linear acceleration require complicated mathematics, which makes it difficult ...

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we assume a linear approximation (e.g., the straight line drawn through the data points in Figure 5). If we presume the r of the exponential equation is a function of N (the population density ...