Items

• complex number

  A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation i² = −1.
• component

  A connected subset of a set, not contained in any other connected subset of the set.
• composite function

  The operation of composition is performed by substituting some function for the independent variable of another function.
• compounding interest

  Compound interest is the interest paid on the original principal and on the accumulated past interest.
• concave down

  A graph or part of a graph which looks like an upside-down bowl or part of an upside-down bowl.
• concave up

  When the function y = f (x) is concave up, the graph of its derivative y = f '(x) is increasing.
• concavity

  It refers to the directionality of a curve. If a curve is concave up (convex), the graph of the curve is bent upward, like an upright bowl. For a function f(x) where f(x) and f′(x) are both differentiable, f(x) is concave up if and concave down if .
• concentric

  Denoting circles, arcs, or other shapes, which share the same centre, the larger often surrounding the smaller.
• condition

  Refers to a requirement or constraint that must be satisfied for a statement, equation, or problem to be true or valid.
• cone

  A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. If the enclosed points are included in the base, the cone is a solid object / otherwise it is a two-dimensional object in three-dimensional space.
• congruence

  In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
• conic section

  Conic section is a curve obtained as the intersection of the surface of a cone with a plane. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2 / that is, as the set of points whose coordinates satisfy a quadratic equation in two variables.
• conjecture

  A conjecture in mathematics is a statement or proposition that is believed to be true based on some evidence or intuition, but it has not been proven or demonstrated rigorously.
• conjugate

  A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x + y is x - y. We can also say that x + y is a conjugate of x - y.
• constant

  In mathematics, the adjective constant means non-varying. The noun constant may have two different meanings. It may refer to a fixed and well-defined number or another mathematical object.
• constant function

  Is a function whose (output) value is the same for every input value. For example, the function is a constant function because the value of is 4 regardless of the input value.
• continuity

  The Definition of Continuity. We are looking for a mathematical definition which captures two ideas. The values of a function f(x) at points near a are good predictors of the value of f at a. The graph of f is a connected curve with no jumps, gaps, or holes.
• continuous function

  Continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
• contradiction

  A contradiction typically refers to a situation where two or more statements or conditions are mutually exclusive or cannot coexist. It arises when a logical argument leads to conflicting or incompatible conclusions.
• convergence

  Property of approaching a limit more and more closely as an argument (variable) of the function increases or decreases or as the number of terms of the series increases. For example, the function y = 1 / x converges to zero as x increases.
• convergence test

  Convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series.
• convex

  If a shape is convex, a line segment drawn between any two points on the shape will always lie inside the shape.
• coordinate axes

  The coordinate axes or cartesian axes consists of two mutually perpendicular axes that intersect at the origin (0,0). The horizontal axis is the x-axis. The vertical axis is the y-axis. Point o, where the two axes intersect is the origin. The coordinates of a point, p, are represented by (x, y).
• corner point

  The corner points are the vertices of the feasible region.
• corollary

  A true statement that is a simple deduction from a theorem or proposition.