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Mathematical idealization of the trace left by a moving point
mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Intuitively, a curve may
Curve
Canadian drama film
A Simple Curve is a Canadian drama film, directed by Aubrey Nealon and released in 2005. The film stars Kris Lemche as Caleb, a man in his mid-20s who
A_Simple_Curve
Section of pathway that changes direction
Simple curve Compound curve Transition curve Reverse curve Deviation curve Two types of vertical curves on roads: Valley curve Summit curve A simple curve
Road_curve
Canadian actress (born 1982)
Forest of the Dead). The same year she appeared in the Canadian film A Simple Curve, and the television film Selling Innocence. In 2011, Lind starred opposite
Sarah_Lind
Canadian actress (born 1979)
| A Look into Hutton's Private and Personal Life". liverampup.com. Archived from the original on 2025-02-08. Retrieved 2025-06-27. A Simple Curve review
Pascale_Hutton
Algorithm in vector-based graphic software
Illustrator), where a crossing of an outline with itself causes shapes to fill in strange ways. On a simple curve, the even–odd rule reduces to a decision algorithm
Even–odd_rule
Fractal sets in complex dynamics of mathematics
{\displaystyle z^{2}+c} , where c is a complex number. For such an iteration the Julia set is not in general a simple curve, but is a fractal, and for some values
Julia_set
Property of a planar simple closed curve
curve, there are two tangent directions possible, colinear and opposite to each other. In the case of a plane simple closed curve (that is, a curve in
Curve_orientation
Mathematical function
take the logarithm of the data and fit a parabola to the resulting data set. While this provides a simple curve fitting procedure, the resulting algorithm
Gaussian_function
Connected series of line segments
by a sequence of points ( A 1 , A 2 , … , A n ) {\displaystyle (A_{1},A_{2},\dots ,A_{n})} called its vertices. The curve itself consists of the line
Polygonal_chain
Area interpreted positively or negatively
area with specified orientation. When the boundary of the region is a simple curve, the signed area also indicates the orientation of the boundary. The
Signed_area
Theorem in topology
topology, a discipline within mathematics, the Jordan curve theorem (JCT), formulated by Camille Jordan in 1887, asserts that every simple closed curve in the
Jordan_curve_theorem
Topics referred to by the same term
Simple path may refer to: Simple curve, a continuous injective function from an interval in the set of real numbers R {\displaystyle \mathbb {R} } to
Simple_path
Canadian film and television director
film debut A Simple Curve in 2005. The film was named to the Toronto International Film Festival's year-end Canada's Top Ten list for 2005, was a Leo Award
Aubrey_Nealon
Generalization of volume to non-integer number of dimensions
measure of a simple curve in R n {\displaystyle \mathbb {R} ^{n}} is equal to the length of the curve, and the two-dimensional Hausdorff measure of a Lebesgue-measurable
Hausdorff_measure
Mathematical curve outputted from a specific pair of parametric equations
A Lissajous curve /ˈlɪsəʒuː/, also known as Lissajous figure or Bowditch curve /ˈbaʊdɪtʃ/, is the graph of a system of parametric equations x = A sin
Lissajous_curve
Curve used in computer graphics and related fields
A Bézier curve (/ˈbɛz.i.eɪ/ BEH-zee-ay, French pronunciation: [bezje]) is a parametric curve used in computer graphics and related fields. A sequence of
Bézier_curve
Process of constructing a curve that has the best fit to a series of data points
Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints
Curve_fitting
Motion of a curve based on its curvature
the curve decreases as the curve converges to a circular shape, before collapsing to a singularity. If two disjoint simple smooth closed curves evolve
Curve-shortening_flow
Type of plane curve
dense within the curve, and the distance of these lines from the origin defines a continuous support function. A smooth simple closed curve is convex if and
Convex_curve
Invariant of a knot diagram
mathematical knot (or any closed simple curve) in three-dimensional space and assumes real numbers as values. In both cases, writhe is a geometric quantity, meaning
Writhe
Curve whose range contains the unit square
In mathematical analysis, a space-filling curve is a curve whose range reaches every point in a higher dimensional region, typically the unit square (or
Space-filling_curve
Distance along a curve
Arc length is the length of a curve from beginning to end. Conceptually, if we imagined the curve as a string, the arc length is how long the string would
Arc_length
Decline of memory retention in time
forgetting curve measures the decline of memory retention across time, showing how information is lost when there is no attempt to retain it. A related concept
Forgetting_curve
Curve formed by a hanging chain
catenary curve. The same is true of a simple suspension bridge or "catenary bridge," where the roadway follows the cable. A stressed ribbon bridge is a more
Catenary
Curve traced by a point on a rolling circle
curve). It is also the form of a curve for which the period of an object in simple harmonic motion (rolling up and down repetitively) along the curve
Cycloid
Canadian film and television actor
Episode 2x05 Suffer The Children (2005) as Dewey The Cabin Movie (2005) A Simple Curve (2005) Heartfelt Café (2006) as Romantic Boy Family in Hiding (2006)
Ben_Cotton
Relationships among bond yields of different maturities
because a sustained inversion has historically preceded U.S. recessions and is used in simple recession-probability models. The yield curve is closely
Yield_curve
Algebraic curve in mathematics
elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over a field K
Elliptic_curve
Diagnostic plot of binary classifier ability
A receiver operating characteristic curve, or ROC curve, is a graphical plot that illustrates the performance of a binary classifier model (although it
Receiver operating characteristic
Receiver_operating_characteristic
Hindu architectural style
(southwest and Sundarbans areas). In the fifth century, the use of simple curved Shikhara (spires) began in temples; the earliest such temples being
Nagara_Style
Stackable chips made by Lay's
Pringles. The shape of Stax is a simple curve called a hyperbolic cylinder, while Pringles are formed into a double-curve known as a hyperbolic paraboloid. Stax
Lay's_Stax
Three-dimensional geometry of track layouts and associated measurements
is simple curve which has the same radius throughout that curved track. The second type is compound curve which comprises two or more simple curves of
Track_geometry
On the area enclosed by a point on a rigid chord rotating inside a convex closed curve
assumption that the chord be short enough that the traced locus is a simple closed curve. The theorem is included as one of Clifford Pickover's 250 milestones
Holditch's_theorem
Unsolved problem about inscribing a square in a Jordan curve
in geometry: Does every plane simple closed curve contain all four vertices of some square? This is true if the curve is convex or piecewise smooth and
Inscribed_square_problem
Approximation to shape of a point cloud
alpha shape, or α-shape, is a family of piecewise linear simple curves in the Euclidean plane associated with the shape of a finite set of points. They
Alpha_shape
Extinct family of ammonites
coiling, either as an oxbow-like curve around the juvenile coils as in Ainoceras and Anaklinoceras, or in a simple curved loop beneath the juvenile coils
Nostoceratidae
Extinct Indo-European language of Southeastern Italy
– arching in a simple curve with or without buttons, which one finds in southern Italy and in Sicily, and also some in which the curve is decorated with
Messapic_language
Chinese two-stringed bowed musical instrument
top or tip of neck, usually a simple curve with a piece of bone or plastic on top, but is sometimes elaborately carved with a dragon's head. Qín zhóu (琴軸)
Erhu
Approach to public-key cryptography
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC
Elliptic-curve_cryptography
mathematics, the rational normal curve is a smooth, rational curve C of degree n in projective n-space Pn. It is a simple example of a projective variety; formally
Rational_normal_curve
Type of bridge
follow a hyperbolic curve, the catenary. This is because the main cables are free hanging. In contrast, on a suspended deck bridge (whether "simple" or not)
Simple_suspension_bridge
Algebraic variety
theory and algebraic geometry, a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper
Modular_curve
Curve defined as zeros of polynomials
algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective plane of a homogeneous
Algebraic_curve
the curve complex is a simplicial complex C(S) associated to a finite-type surface S, which encodes the combinatorics of simple closed curves on S.
Curve_complex
Economic model relating wages to unemployment
The Phillips curve is a representation of the relationship between unemployment and inflation in the macroeconomy, where a tradeoff between low unemployment
Phillips_curve
Plane curve with the greatest order of contact with another curve
to kiss, because the two curves contact one another in a more intimate way than simple tangency. Examples of osculating curves of different orders include:
Osculating_curve
Representation of the relationship between taxation and government revenue
In economics, the Laffer curve illustrates a theoretical relationship between rates of taxation and the resulting levels of the government's tax revenue
Laffer_curve
Type of diffeomorphism or homeomorphism of a surface
constant c. This assures that along a simple curve, the variation in y-coordinate, measured locally in every chart, is a geometric quantity (i.e. independent
Pseudo-Anosov_map
Species of moth
brown, with seven diagonal blue lines. At the rear is a curved, thornlike horn. It can attain a length of 5 to 6 in (13 to 15 cm). The other two species
Acherontia_atropos
Annual Canadian film festival
Saint Martyrs of the Damned (Saint-Martyrs-des-Damnés), Robin Aubert A Simple Curve, Aubrey Nealon Six Figures, David Christensen These Girls, John Hazlett
2005 Toronto International Film Festival
2005_Toronto_International_Film_Festival
Elliptic curve used in cryptography
bits, with a simple pattern. The curve is given by the equation y2 = x3 − 3x + b, where b is given by a certain 384-bit number. The curve has order less
P-384
Canadian post-rock band
the films Syriana, The Corporation, and A Simple Curve. The band's fifth full-length album, entitled You, You're a History in Rust, was released on Constellation
Do_Make_Say_Think
British-Indian artist (born 1954)
sculptures using simple materials such as granite, limestone, marble, pigment and plaster. These early sculptures are frequently simple, curved forms, usually
Anish_Kapoor
Geometrical smooth strip
The ribbon ( X , U ) {\displaystyle (X,U)} is called simple if X {\displaystyle X} is a simple curve (i.e. without self-intersections) and closed and if
Ribbon_(mathematics)
Economic model of price determination in a market
that a "well-behaved" market demand curve is not a mathematical requirement of microeconomic rationality, it challenges the assumption that simple supply
Supply_and_demand
Geometric line segment whose endpoints lie on a circular arc
\theta =2{\sqrt {\operatorname {haversin} \theta }}} ) Zindler curve (closed and simple curve in which all chords that divide the arc length into halves have
Chord_(geometry)
Curve for which the time to roll to the end is equal for all starting points
A tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same', ἴσος (isos-) 'equal' and χρόνος (chronos) 'time') is the curve for which
Tautochrone_curve
Graph of wealth or income distribution
In economics, the Lorenz curve is a graphical representation of the distribution of income or of wealth. It was developed by Max O. Lorenz in 1905 for
Lorenz_curve
Diagram that shows all possible logical relations between a collection of sets
illustrate simple set relationships in probability, logic, statistics, linguistics and computer science. A Venn diagram uses simple closed curves on a plane
Venn_diagram
Relationship between proficiency and experience
score)Example of a learning curve Proficiency (test score)Experience (hours spent)01234503691215Proficiency (test score)Example of a steep learning curve A learning
Learning_curve
On line segment intersection graphs
planar graph could be represented as the intersection graph of a set of simple curves in the plane (Sinden 1966) (Ehrlich, Even & Tarjan 1976). It was
Scheinerman's_conjecture
Set of curves from a function with variable parameter(s)
parameter(s) influence the shape of the curve in a way that is more complicated than a simple linear transformation. Sets of curves given by an implicit relation
Family_of_curves
Curve that is common to two geometric objects
intersection curve of two surfaces is easy only in simple cases; for example: a) the intersection of two planes, b) plane section of a quadric (sphere
Intersection_curve
Fractal constructible with L-systems
A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems. The
Dragon_curve
In mathematics, the Jacobi curve is a representation of an elliptic curve different from the usual one defined by the Weierstrass equation. Sometimes it
Jacobian_curve
Force in which the work done in moving an object depends only on its displacement
Assume that statement 2 holds. Let c be a simple curve from the origin to a point x {\displaystyle x} and define a function Φ ( x ) = − ∫ c F ⋅ d r . {\displaystyle
Conservative_force
1994 book
The Bell Curve: Intelligence and Class Structure in American Life is a 1994 book by the psychologist Richard J. Herrnstein and the political scientist
The_Bell_Curve
Canadian electronic music band
Pitchfork Media. "A Common State Of Being" from The Cansecos was used in Canadian director Aubrey Nealon's debut feature-length film "A Simple Curve". In July
The_Cansecos
Solution to x*x + y*y + z*z = 3xyz
2307/2007348. JSTOR 2007348. MR 0669663. Greg McShane; Igor Rivin (1995). "Simple curves on hyperbolic tori". Comptes Rendus de l'Académie des Sciences, Série
Markov_number
Victim Atomic Train La Menace The Pledge The Pledge Roxanne Housekeeping A Simple Curve The Tall Man see List of filming locations in the Vancouver area My
List of filming locations in the British Columbia Interior
List_of_filming_locations_in_the_British_Columbia_Interior
Simple curve of Euclidean geometry
Euclid's definition of a circle is: A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within
Circle
Point where two or more curves, lines, or edges meet
and if a polygon is approximated by a smooth curve, there will be a point of extreme curvature near each polygon vertex. A vertex xi of a simple polygon
Vertex_(geometry)
Algebraic curve in projective 3-space
mathematics, a twisted cubic is a smooth, rational curve C of degree three in projective 3-space P3. It is a fundamental example of a skew curve. It is essentially
Twisted_cubic
A Zindler curve is a simple closed plane curve with the defining property that: (L) All chords which cut the curve length into halves have the same length
Zindler_curve
S-shaped curve
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac
Logistic_function
Type of catenary curve
catenary curve, but of a special form: while a catenary is the curve formed by a chain under its own weight, a weighted catenary is the curve formed if
Weighted_catenary
Class of curves traced by a point which follows another moving point
a curve of pursuit is a curve constructed by analogy to having a point or points representing pursuers and pursued; the curve of pursuit is the curve
Pursuit_curve
Point of extreme curvature on a curve
theorem, every simple closed planar smooth curve must have at least four vertices. A more general fact is that every simple closed space curve which lies
Vertex_(curve)
Metal forming process
into a simple curve. For some tube bending processing, a mandrel is placed inside the tube to prevent collapsing. The tube is held in tension by a wiper
Tube_bending
Fractal composed of triangles
process of repeated modification of simpler curves, analogous to the construction of the Koch snowflake: Start with a single line segment in the plane Repeatedly
Sierpiński_triangle
Fourth standardized moment in statistics
(kyrtos or kurtos), meaning 'curved, arching') refers to the degree of tailedness in the probability distribution of a real-valued, random variable in
Kurtosis
Graph of how much of something a consumer would buy at a certain price
A demand curve is a graph depicting the inverse demand function, a relationship between the price of a certain commodity (the y-axis) and the quantity
Demand_curve
Film lubrication versus surface friction
The Stribeck curve is a fundamental concept in the field of tribology. It shows that friction in fluid-lubricated contacts is a non-linear function of
Stribeck_curve
Number of times a curve wraps around a point in the plane
winding index of a closed curve in the plane around a given point is an integer representing the total number of times that the curve travels counterclockwise
Winding_number
Definite integral of a scalar or vector field along a path
mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and
Line_integral
Study of curves from a differential point of view
of curves is much simpler and narrower in scope than the theory of surfaces and its higher-dimensional generalizations because a regular curve in a Euclidean
Differentiable_curve
Concept in probability theory
{\displaystyle D} is a simply connected, open complex domain not equal to C {\displaystyle \mathbb {C} } , and γ {\displaystyle \gamma } is a simple curve in D {\displaystyle
Schramm–Loewner_evolution
Figure-eight-shaped curve on a sphere
In mathematics, Viviani's curve, also known as Viviani's window, is a figure-eight-shaped space curve named after the Italian mathematician Vincenzo Viviani
Viviani's_curve
Algebraic curve
depth. It is isogenous to a product of simple abelian varieties with complex multiplication. The Fermat curve also has gonality: n − 1. {\displaystyle
Fermat_curve
Suppose that k is a field of characteristic p > 0 and a is an element of k that is not a pth power. Then every point of the curve xp + yp = a is regular. However
Geometrically_regular_ring
Concept in economics
economics, an indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is indifferent
Indifference_curve
Complex analysis theorem
rediscovered it as a main ingredient of his solution of the Riemann–Hilbert problem in 1908. Let C {\displaystyle C} be a smooth closed simple curve in the plane
Sokhotski–Plemelj_theorem
Plane curve defined by an implicit equation
In mathematics, an implicit curve is a plane curve defined by an implicit equation relating two coordinate variables, commonly x and y. For example, the
Implicit_curve
Circuits used to correct network or transmission line errors
correctors and then optimising their characteristics by a simple curve fitting procedure. A LPF for television use was designed by this method. More
Lattice and bridged-T equalizers
Lattice_and_bridged-T_equalizers
Indo-European-speaking people of pre-Roman Apulia
– arching in a simple curve with or without buttons, which one finds in southern Italy and in Sicily, and also some in which the curve is decorated with
Iapygians
Space-filling curve
geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890. Peano's curve is a surjective, continuous
Peano_curve
Flow in region adjacent to constant-state region
strength. Simple waves are also defined by the behavior that all the characteristics under hodograph transformation collapses into a single curve. This means
Simple_wave
Species of sea squirt
other tunicates. The hind gut can be seen through the tunic and forms a simple curve, and this helps distinguish it in European waters from the fairly similar
Corella_eumyota
4A Whirls possessing a small angular radius of curvature, sometimes resembling light ripples on a water surface. 4B Simple curve of medium angular radius
List_of_cloud_types
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