A method for finding the derivative of an implicitly defined function or relation.
I (2)
A function with a graph that goes up as it is followed from left to right.
I (2)
An undefined expression which can have a value if arrived at as a limit.
I (2)
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.
I (1)
A method for proving a proposition that is valid for infinitely many different values of a variable.
I (1)
A set that can be placed in one-to-one correspondence with a proper subset of itself.
I (1)
A hypothetical number that is larger than zero but smaller than any positive real number.
I (2)
A point at which a curve changes from concave up to concave down, or vice-versa.
I (3)
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.
I (1)
The radius of a plane figure's inscribed circle.
I (2)
A function for which the definite integral exists.
I (2)
A convergence test used for positive series with decreasing terms.
I (3)
A theorem verifying that the graph of a continuous function is connected.
I (1)
A property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects.
I (1)
Negation of the hypothesis and conclusion of a conditional statement.
I (2)
A square matrix which has an inverse.
I (1)
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
Term
Hint
I (2)
An algorithm which involves repeated use of the same formula or steps.
J (2)
Discontinuity for which the limits from the left and right both exist but are not equal to each other.
K (2)
Topological figure that is closed and bottle shaped with only one surface area.
K (2)
Figure - start with equilateral triangle, replace middle third of each segment with 2 sides of a new triangle, repeat process forever.
K (3)
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.
L (2)
Way to evaluate limits of fractions that evaluate to indeterminate expressions by finding limit of the derivatives of the numerator & denominator.
L (2)
Line segment through a focus of a conic section, perpendicular to major axis, endpoints on curve.
L (3)
The Ceiling Function.
L (4)
The linear fit that matches the pattern of a set of paired data as closely as possible.
L (6)
The smallest of all upper bounds of a set of numbers.
L (1)
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.
L (1)
r^{2} = a^{2} cos 2θ; A curve usually expressed in polar coordinates that resembles a figure eight.
L (1)
r = b + a cos θ ; A famliy of related curves, of which the cardiod is a special kind.
L (1)
The value a function approaches as the domain variable(s) approach a specific value.
L (2)
Algorithm for finding largest or smallest possible values of a linear polynomial.
L (2)
The appearance or properties of a function, graph, or geometric figure in the immediate neighborhood of a particular point.
L (1)
A word for a set of points that forms a geometric figure or graph.
L (2)
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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