The sequence of ratios of consecutive terms of this Sequence has the Golden Mean as its limit.

F (2)

A set whose cardinality is a natural number.

F (3)

A method for determining whether a critical point is a minimum, maximum, or neither.

F (4)

A differential equation in which the highest derivative is a first derivative.

F (2)

A step function of x which is the greatest integer less than or equal to x.

F (1)

A special point used to construct and define a conic section. A parabola has one; ellipse and hyperbole have two; a circle can be thought of as having one at its center.

F (1)

A figure that is self-similar.

F (1)

A truncated cone or pyramid in which the plane cutting off the apex is parallel to the base.

F (4)

Theorem establishing that, using complex numbers, all polynomials can be factored; generalization-any polynomial of degree n has exactly n zeros, counting multiplicity.

F (4)

Prime factorizations are unique; i.e. if you have found a prime factorization for a positive integer, you have found the only such factorization.

F (4)

The theorem that establishes the connection between derivatives, antiderivatives, and definite integrals.

G (2)

A complex number of the form a + bi for which both a and b are integers.

G (2)

The n^{th} root of the product of n numbers.

G (1)

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.

G (2)

The highest point over the entire domain of a function or relation.

1st letter/# words

Term

Hint

G (2)

'Every even number greater than 2 can be expressed as the sum of two primes.'

G (2)

The number ( sqrt 5 + 1 ) / 2 about 1.61803, also known as Φ.

G (1)

10^{(10^100)}

G (2)

A circle on the surface of the sphere that shares its center with the center of the sphere.

H (2)

An interval that contains one endpoint but not the other.

H (2)

The reciprocal of the quotient of the sum of the reciprocals of n numbers and n,

H (1)

A curve shaped like a spring.

H (2)

A formula for the area of a triangle used when the lengths of all three sides are known.

H (1)

A discontinuity at which the limit of the function exists but does not equal the value of the function at that point

H (4)

A system, usually a linear system, in which every constant term is zero.

H (2)

Technique of computing roots of polynomials by making repeated approximations.

H (1)

For two given points, the foci, it is the locus of points such that the difference between the distances to each focus is constant.

H (3)

A test use to determine if a function is one-to-one.

H (2)

A non-Euclidean geometry with the following property: Given a line m and a point P not on m, there are infinitely many lines passing through P which are parallel to m.