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searching for Graph of a function 28 found (89 total)

Quadratrix of Hippias (3,406 words) [view diff] exact match in snippet view article find links to article

Quadratrix as the graph of a function for a = 1 {\displaystyle a=1}

Bernstein's problem (689 words) [view diff] exact match in snippet view article find links to article

differential geometry, Bernstein's problem is as follows: if the graph of a function on Rn−1 is a minimal surface in Rn, does this imply that the function

Correspondence (algebraic geometry) (293 words) [view diff] exact match in snippet view article

The typical example of the latter kind of correspondence is the graph of a function f:X→Y. Correspondences also play an important role in the construction

Sine and cosine (7,091 words) [view diff] no match in snippet view article find links to article

In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:

Decision problem (1,246 words) [view diff] exact match in snippet view article find links to article

decision problem is just the graph of the associated function. (The graph of a function f is the set of pairs (x,y) such that f(x) = y.) If this decision

Implicit surface (2,423 words) [view diff] exact match in snippet view article find links to article

Implicit means that the equation is not solved for x or y or z. The graph of a function is usually described by an equation z = f ( x , y ) {\displaystyle

Maxima (software) (1,144 words) [view diff] exact match in snippet view article

Maxima Screenshot of Maxima, plotting the 2D graph of a function with the gnuplot-x11 package running on Ubuntu Linux Developers Macsyma group at Project

Kleene's recursion theorem (3,095 words) [view diff] exact match in snippet view article find links to article

if the fixed point F is not the graph of a function, then there is some k such that Fk is not the graph of a function. Compared to the second recursion

Weierstrass function (2,394 words) [view diff] exact match in snippet view article find links to article

we try to draw a general continuous function, we usually draw the graph of a function which is Lipschitz or otherwise well-behaved. Moreover, the fact

Injective function (2,635 words) [view diff] exact match in snippet view article find links to article

embedding. Unlike surjectivity, which is a relation between the graph of a function and its codomain, injectivity is a property of the graph of the function

Hermitian adjoint (3,270 words) [view diff] exact match in snippet view article find links to article

H\oplus H} of the graph G ( A ) {\displaystyle G(A)} is the graph of a function. Since G cl ( A ) {\displaystyle G^{\text{cl}}(A)} is a (closed)

Quasiconvex function (1,436 words) [view diff] exact match in snippet view article find links to article

The graph of a function that is both concave and quasiconvex on the nonnegative real numbers.

Gaussian curvature (2,670 words) [view diff] exact match in snippet view article find links to article

We represent the surface by the implicit function theorem as the graph of a function, f, of two variables, in such a way that the point p is a critical

Pullback (category theory) (2,061 words) [view diff] exact match in snippet view article

binary product). A specific example of a pullback is given by the graph of a function. Suppose that f : X → Y {\displaystyle f\colon X\to Y} is a function

Henri Lebesgue (2,242 words) [view diff] exact match in snippet view article find links to article

that corresponds to the informal idea of finding the area under the graph of a function. The first theory of integration was developed by Archimedes in the

Absoluteness (logic) (1,260 words) [view diff] no match in snippet view article

successor ordinal. x is a limit ordinal. x = ω. x is finite. x is (the graph of) a function. Other properties are not absolute: being countable being a cardinal

Algebraic curve (7,993 words) [view diff] exact match in snippet view article find links to article

implicit equation of the curve, in contrast to the curves that are the graph of a function defining explicitly y as a function of x. With a curve given by such

Normal (geometry) (2,693 words) [view diff] exact match in snippet view article

{\displaystyle S} in R 3 {\displaystyle \mathbb {R} ^{3}} given as the graph of a function z = f ( x , y ) , {\displaystyle z=f(x,y),} an upward-pointing normal

Sergei Adian (905 words) [view diff] exact match in snippet view article find links to article

students. In his first work as a student in 1950, Adian proved that the graph of a function f ( x ) {\displaystyle f(x)} of a real variable satisfying the functional

Five points determine a conic (2,331 words) [view diff] exact match in snippet view article find links to article

in the plane, and the intersections of corresponding lines to the graph of a function, which (must be shown) is a hyperbola, hence a conic, hence the original

Cycloid (3,934 words) [view diff] exact match in snippet view article find links to article

{\displaystyle 0\leq x\leq 2\pi } . Considering the cycloid as the graph of a function y = f ( x ) {\displaystyle y=f(x)} , it satisfies the differential

Hyperbola (13,598 words) [view diff] exact match in snippet view article find links to article

={\tfrac {a^{2}/2}{\xi }}\ .} Thus, in an xy-coordinate system the graph of a function f : x ↦ A x , A > 0 , {\displaystyle f:x\mapsto {\tfrac {A}{x}},\;A>0\;

Hunting oscillation (4,091 words) [view diff] exact match in snippet view article find links to article

track and the wheel pair is centered on the track. See Curvature#Graph of a function for mathematical details. The approximate equality becomes equality

Glossary of mathematical jargon (5,501 words) [view diff] exact match in snippet view article find links to article

\mathbb {R} ,(x,y)\mapsto x} is a projection and its restriction to a graph of a function, say, is also a projection. The terms “idempotent operator” and “forgetful

Pi (17,634 words) [view diff] exact match in snippet view article find links to article

For example, an idealized vibrating string can be modelled as the graph of a function f on the unit interval [0, 1], with fixed ends f(0) = f(1) = 0. The

Pólya–Szegő inequality (2,247 words) [view diff] exact match in snippet view article find links to article

cylinders and an asymptotics expansion of the area of the area of the graph of a function. The inequality is proved for a smooth function u {\displaystyle

Weierstrass transform (2,865 words) [view diff] exact match in snippet view article find links to article

The graph of a function f ( x ) {\displaystyle f(x)} (black) and its generalized Weierstrass transforms for five t {\displaystyle t} parameters. The standard

Constructive set theory (35,288 words) [view diff] exact match in snippet view article find links to article

set theoretical notion here, one may explicitly call the latter graph of a function, anafunction or set function. The axiom schema of Replacement can