Round 11: Tossup 4

M. L. Glasser’s “master theorem” showed that this technique can simplify problems construed as Cauchy principal values. The first step of Cardano’s method eliminates a square term by performing this technique. Lambda calculus is based on binding and this technique for variables. The expression, “a squared minus x squared” in (*) integrals typically suggests the use of this technique (10[1])with sine of x. In AP Calculus, the variable u (10[1])is commonly used (10[1])as part of this technique during integration. (10[1])For 10 points, solving an equation by replacing a complicated expression with an equivalent term is an example of what technique? ■END■

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