Advanced FGH's of mathematics

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Can you name the advanced math terms beginning with F, G & H?

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1st letter/# wordsTermHint
F (2)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 nth 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/# wordsTermHint
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.

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