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Equation 5 · Part 1 · Mathematics, Proof, and Scientific Computation in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol A

AA
AA

What this part means

A is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

A is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Numerical analysis has always run on an analogous verification principle, just usually informal: an error bound is only useful if it is derived from and checkable against a stated model of arithmetic. The classical example is the sensitivity of a linear system to input error, captured by the condition number of a matrix A :

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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