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Advanced IJKL's of mathematics
Can you name the Advanced math terms beginning with I, J, K or L?
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Advanced MNO's of mathematics
1st letter/# words
f(x) = x
A method for finding the derivative of an implicitly defined function or relation.
A function with a graph that goes up as it is followed from left to right.
An undefined expression which can have a value if arrived at as a limit.
Proving a conjecture by assuming conjecture is false; if this leads to a contradiction, the original conjecture must have been true; employs the logical method modus tolens.
A method for proving a proposition that is valid for infinitely many different values of a variable.
A set that can be placed in one-to-one correspondence with a proper subset of itself.
A hypothetical number that is larger than zero but smaller than any positive real number.
A point at which a curve changes from concave up to concave down, or vice-versa.
A differential equation or partial differential equation accompanied by conditions for the value of the function and possibly its derivatives at one particular point in the domain.
The radius of a plane figure's inscribed circle.
A function for which the definite integral exists.
A convergence test used for positive series with decreasing terms.
A theorem verifying that the graph of a continuous function is connected.
A property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects.
Negation of the hypothesis and conclusion of a conditional statement.
A square matrix which has an inverse.
A transformation that is invariant with respect to distance; the distance between any two points in the pre-image must be the same as the distance between the images of the two points.
1st letter/# words
An algorithm which involves repeated use of the same formula or steps.
Discontinuity for which the limits from the left and right both exist but are not equal to each other.
Topological figure that is closed and bottle shaped with only one surface area.
Figure - start with equilateral triangle, replace middle third of each segment with 2 sides of a new triangle, repeat process forever.
Topological problem: take a walk in a certain city & return to the starting point after crossing each of the city's 7 bridges just once.
Way to evaluate limits of fractions that evaluate to indeterminate expressions by finding limit of the derivatives of the numerator & denominator.
Line segment through a focus of a conic section, perpendicular to major axis, endpoints on curve.
The Ceiling Function.
The linear fit that matches the pattern of a set of paired data as closely as possible.
The smallest of all upper bounds of a set of numbers.
A helping theorem; proven, but not interesting enough to be a theorem; of interest only because it is a stepping stone in a formal proof.
cos 2θ; A curve usually expressed in polar coordinates that resembles a figure eight.
r = b + a cos θ ; A famliy of related curves, of which the cardiod is a special kind.
The value a function approaches as the domain variable(s) approach a specific value.
Algorithm for finding largest or smallest possible values of a linear polynomial.
The appearance or properties of a function, graph, or geometric figure in the immediate neighborhood of a particular point.
A word for a set of points that forms a geometric figure or graph.
A model for a quantity that increases quickly at first and then more slowly as the quantity approaches an upper limit.
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