A theorem which allows the computation of the limit of an expression by trapping the expression between two other expressions which have limits that are easier to compute.

S (1)

Any real number, or any quantity that can be measured using a single real number, e.g. temperature, length, mass; has magnitude but no direction.

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A line which passes through at least two points of a curve.

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A method for determining whether a critical point is a relative minimum or maximum.

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A point on the graph of a function at which the second derivative is either 0 or undefined.

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A part of the interior of a circle bounded by a chord and an arc.

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A property of fractals in which the pattern of the whole occurs in each part.

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Half the perimeter of a plane figure.

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A first order ordinary differential equation which can be solved by separating all occurrences of the two variables on either side of the equal sign and then integrating.

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S (2)

A technique for finding the volume of a solid of revolution.

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Any kind of periodic motion that can be modeled using a sinusoid.

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A square matrix which does not have an inverse.

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The study of triangles on the surface of a sphere, the sides of which are arcs of great circles. Useful for navigation.

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A curve on a plane that turns endlessly outward or inward (or both); usually given by a polar equation.

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A solution of a simplified version of an equation that does not satisfy the original equation.

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A linear system of equations in which the number of variables equals the number of equations.

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A theorem relating the length of a cevian to the lengths of the sides of a triangle. This theorem is easily proven using the law of cosines.

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An irrational number that can be expressed as a radical.