Peano axioms (13723 bytes)
1: ...fundamental formalism for [[arithmetic]], and the Peano axioms form a basis for the formalisation of stro...
3: ...r system]]s and structures of modern mathematics. Peano arithmetic raises a number of [[metamathematics|m...
7: Informally, the Peano axioms may be stated as follows:
15: More formally, we define a '''Dedekind-Peano structure''' to be an ordered triple (''X'', ''x'...
25: The Peano axioms can be summed up by the following diagram:

Giuseppe Peano (8598 bytes)
1: '''Giuseppe Peano''' ([[August 27]], [[1858]] – [[April 20]],...
3: [[Image:Giuseppe_Peano.jpg|right|Giuseppe Peano]]
5: Giuseppe Peano was born on a farm near the village of [[Spinetta...
9: ...ith 'High Honours' and began his teaching career. Peano was a University assistant between 1880 and 1882,...
10: ...ished his first paper. In the course of his life, Peano had over two hundred papers and books published (...

Curve (10841 bytes)
3: ... line]]. A large number of other [[List of curves|curves]] have been studied in [[geometry]].
5: ...urve]]''), or [[graph of a function]] ([[Phillips curve]]).
10: ...ion makes it possible to talk about closed simple curve).
12: ...simple closed curve''' is also called a '''Jordan curve'''.
14: ... plane. These definitions also apply to algebraic curves (see below).

Rotation curve (506 bytes)
1: ...:newtonianfig2.png|thumb|300px|right|The rotation curve of a [[galaxy]]; that is, the [[orbital velocity]...
2: In [[astrophysics]], the '''rotation curve''' of a [[galaxy]] is a [[graph of a function|gra...

Cubic curve (2088 bytes)
1: ...[[mathematics]], a '''cubic curve''' is a [[plane curve]] ''C'' defined by a cubic equation
9: ...s through ''P''. Therefore we can find some cubic curve through any nine given points.
11: ...ne by drawing the curve. The real points of cubic curves were studied by [[Newton]]; they fall into one o...
13: ...ierstrass form. For example, there are many cubic curves that have no such point, when ''K'' is the [[rat...

Lissajous curve (2546 bytes)
1: ...s curve''' ('''Lissajous figure''' or '''Bowditch curve''') is the graph of the system of [[parametric e...
5: ...bes [[complex harmonic motion]]. This family of [[curve]]s was investigated by [[Nathaniel Bowditch]] in...
7: ...ional number|rational]]. The visual form of these curves is often suggestive of a three-dimensional [[kno...
11: Lissajous curves can be traced mechanically by means of a [[harmo...
16: | [[Image:LissajousCurve1by2.PNG|1x2 Lissajous curve]]

Modular curve (2634 bytes)
1: ...[[Riemann surface]], or corresponding [[algebraic curve]], constructed as
6: ...t is usually, more strictly, meant by a ''modular curve''.
8: ...s with a given basis for the ''N''-torsion. These curves have been studied in great detail.
10: ...ion field''' is a [[function field]] of a modular curve (or, occasionally, of some other [[moduli space]]...
12: ...s [[correspondence]]s connecting pairs of modular curves.

Sierpinski curve (253 bytes)
1: ...5/12 that of the square. The mathematics for this curve were pioneered by [[Waclaw Sierpinski]].

Altoona Curve (581 bytes)
1: [[Image:AltoonaCurve_100.png|right|Altoona Curve]]
3: ...he [[Pittsburgh Pirates]] major-league club. The Curve play in [[Blair County Ballpark]], located in Alt...
6: * [http://www.altoonacurve.com/ Altoona Curve official site]

Horseshoe Curve (2181 bytes)
1: ...jpg|300px|right|thumb|Satellite view of Horseshoe Curve, west of Altoona, Pennsylvania. The uphill grade...
3: ...ghtening to 609 ft (186 m) on the south side. The curve was built in response to the difficulty of constr...
5: ...ail removed one of the tracks in [[1981]] and the Curve remains in this three-track configuration. It ha...
7: ...ring [[World War II]] would have blown it up. The curve was designated as a [[National Historic Landmark]...
9: ...a's [[minor league baseball]] team, the [[Altoona Curve]].

Calibration curve (1355 bytes)
1: A '''calibration curve''' is a graphical display of the functional relat...
3: In [[analytical chemistry]], a [[calibration curve]] is a standard method for determining the concen...
8: ...s of a control treatment (such as a dose-survival curve in [[clonogenic assay]]).

Transcendental curve (1401 bytes)
1: ...rve]]s and [[elliptic function]]s; and in fact to curves of [[genus (mathematics)|genus]] > 1 and [[autom...
3: ...idal]] curves, therefore; but to large classes of curves showing oscillations.
5: Other examples of transcendental curves are plots of [[Cycloid]]s, and the [[Exponential...

Hyperelliptic curve (2175 bytes)
1: ... (over the [[complex numbers]]) is an [[algebraic curve]] given by an equation of the form
3: ...e; or possibly on the [[Jacobian variety]] on the curve, these being two concepts that are the same for t...
5: ...nomial, then the resulting curve is an [[elliptic curve]].
7: ...polynomial of degree 2''g''+1 or 2''g''+2 gives a curve of genus ''g''.
9: ...point at infinity can be removed (since this is a curve) by the [[normalization]] ([[integral closure]]) ...

Contract curve (271 bytes)
1: A '''contract curve''' is the set of all points in an [[Edgeworth box...
6: ...onomics.about.com/library/glossary/bldef-contract-curve.htm

Yield curve (8751 bytes)
1: ...nance. For the term's use in physics, see [[yield curve (physics)]]''.
3: ...rrowed for five years. In this case the [[yield]] curve, usually represented by a graph of time against i...
5: ...eek trading opportunities. [[Economist]]s use the curves to understand economic conditions.
7: Yield curves carry an implicit forecast of future short-term ...
10: ==The typical shape of a yield curve==

Curve (magazine) (615 bytes)
1: '''''Curve''''' is the best-selling [[lesbian]] [[List of ga...
10: * [http://www.curvemag.com/ Website]

Curve of pursuit (902 bytes)
1: ...ers and pursuees, and the curve of pursuit is the curve traced by the pursuers.
6: Typical drawings of curves of pursuit have each point acting as both pursue...
11: *[http://mathworld.wolfram.com/PursuitCurve.html Mathworld], with a slightly narrower definit...

Growth curve (3046 bytes)
1: ...00px|Figure 1: A "bi-phasic" [[bacterial growth]] curve.]]
3: A '''''growth curve''''' in [[biology]] generally concerns a measured...
7: ... of the molecular basis for this bi-phasic growth curve led to the discovery of the basic mechanisms that...
10: ...Search&db=books&doptcmdl=GenBookHL&term=%22growth+curve%22%5BAll+Fields%5D+AND+cmed6%5Bbook%5D+AND+351845...
12: ...owth.PNG|thumb|right|300px|Figure 2. Tumor growth curve.]]

Lévy C curve (1969 bytes)
1: [[Image:Levy C Curve final.gif|thumb|Lévy C curve (after the first 12 stages)]]
2: ... [[Paul Lévy]] in his 1938 paper ''Plane or Space Curves and Surfaces Consisting of Parts Similar to the ...
5: The construction of the C curve starts with a straight line. An [[isosceles]] tri...
7: ...ir respective triangle. So, after two stages, the curve takes the appearance of three sides of a rectangl...
9: ...eles triangle built on it. After ''n'' stages the curve consists of 2^''n'' line segments, each...

Standard curve (1486 bytes)
1: A '''standard curve''' is a quantitative research tool, a method of p...
3: ...ar to that being measured. For example a standard curve for protein concentration is often created using ...
5: ...ance and follows a line to intersect the standard curve. The corresponding value on the X-axis is the con...

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