Diclib.com
Словарь ChatGPT

Поиск в словаре Индивидуальные решения

Введите слово или словосочетание на любом языке 👆

Язык:

Перевод и анализ слов искусственным интеллектом ChatGPT

На этой странице Вы можете получить подробный анализ слова или словосочетания, произведенный с помощью лучшей на сегодняшний день технологии искусственного интеллекта:

как употребляется слово
частота употребления
используется оно чаще в устной или письменной речи
варианты перевода слова
примеры употребления (несколько фраз с переводом)
этимология

Что (кто) такое conic sections - определение

PLANE CURVE: SYMMETRICAL CONIC SECTION

X squared; Parabolas; Parabolic Equation; Conic section/Proofs; Derivations of Conic Sections; Parabola/Proofs; Derivation of parabolic form; Derivations of conic sections; Parabolic curve; Lambert's Theorem; Parabolae; Parabolic motion

$When the parabola <math>\color{blue}{y = 2x^2}</math> is uniformly scaled by factor 2, the result is the parabola <math>\color{red}{y = x^2}</math>$

Найдено результатов: 135

conic section

CURVE OBTAINED BY INTERSECTING A CONE AND A PLANE

Conic sections; Conic; Conics; Latus rectum; Conic Sections; Quadratic curve; Conic Sections in Polar Coordinates; Semilatus rectum; Semilatus Rectum; Semi-latus rectum; Conics intersection; Focal parameter; Focal Parameter; Conic Section; Latus Rectum; Dual conic; Directrix (conic section); Directrix of a conic section; Quadratic plane curve; Conic equation; Conic parameter

¦ noun the figure of a circle, ellipse, parabola, or hyperbola formed by the intersection of a plane and a circular cone.

Conic section

CURVE OBTAINED BY INTERSECTING A CONE AND A PLANE

Conic sections; Conic; Conics; Latus rectum; Conic Sections; Quadratic curve; Conic Sections in Polar Coordinates; Semilatus rectum; Semilatus Rectum; Semi-latus rectum; Conics intersection; Focal parameter; Focal Parameter; Conic Section; Latus Rectum; Dual conic; Directrix (conic section); Directrix of a conic section; Quadratic plane curve; Conic equation; Conic parameter

In mathematics, a conic section (or simply conic, sometimes called a quadratic curve) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.

https://en.wikipedia.org/wiki/Conic_section

CONIC

CURVE OBTAINED BY INTERSECTING A CONE AND A PLANE

Conic sections; Conic; Conics; Latus rectum; Conic Sections; Quadratic curve; Conic Sections in Polar Coordinates; Semilatus rectum; Semilatus Rectum; Semi-latus rectum; Conics intersection; Focal parameter; Focal Parameter; Conic Section; Latus Rectum; Dual conic; Directrix (conic section); Directrix of a conic section; Quadratic plane curve; Conic equation; Conic parameter

["Dynamic Configuration for Distributed Systems", J. Kramer et al, IEEE Trans Soft Eng SE-11(4):424-436 (Apr 1985)].

Conics

CURVE OBTAINED BY INTERSECTING A CONE AND A PLANE

Conic sections; Conic; Conics; Latus rectum; Conic Sections; Quadratic curve; Conic Sections in Polar Coordinates; Semilatus rectum; Semilatus Rectum; Semi-latus rectum; Conics intersection; Focal parameter; Focal Parameter; Conic Section; Latus Rectum; Dual conic; Directrix (conic section); Directrix of a conic section; Quadratic plane curve; Conic equation; Conic parameter

·noun Conic sections.

II. Conics ·noun That branch of geometry which treats of the cone and the curves which arise from its sections.

Conic

CURVE OBTAINED BY INTERSECTING A CONE AND A PLANE

Conic sections; Conic; Conics; Latus rectum; Conic Sections; Quadratic curve; Conic Sections in Polar Coordinates; Semilatus rectum; Semilatus Rectum; Semi-latus rectum; Conics intersection; Focal parameter; Focal Parameter; Conic Section; Latus Rectum; Dual conic; Directrix (conic section); Directrix of a conic section; Quadratic plane curve; Conic equation; Conic parameter

·noun A conic section.

II. Conic ·adj ·Alt. of Conical.

Latus rectum

CURVE OBTAINED BY INTERSECTING A CONE AND A PLANE

Conic sections; Conic; Conics; Latus rectum; Conic Sections; Quadratic curve; Conic Sections in Polar Coordinates; Semilatus rectum; Semilatus Rectum; Semi-latus rectum; Conics intersection; Focal parameter; Focal Parameter; Conic Section; Latus Rectum; Dual conic; Directrix (conic section); Directrix of a conic section; Quadratic plane curve; Conic equation; Conic parameter

·- The line drawn through a focus of a conic section parallel to the directrix and terminated both ways by the curve. It is the parameter of the principal axis. ·see Focus, and Parameter.

Confocal conic sections

$Ellipsoid with lines of curvature as intersection curves with confocal hyperboloids <br /> <math>a=1, \; b=0.8, \; c=0.6</math>$
$Types dependent on <math>\lambda</math>$
$Example for function <math>f(\lambda)</math>$
$<math>c^2=0.36,\ b^2=0.64, \quad </math> top: <math> \lambda=</math><br> <math>0.3575</math> (ellipsoid, red), <math>\ 0.3625</math> (1s hyperb., blue),<br> <math>0.638</math> (1s hyperb., blue), <math>\ 0.642</math> (2s hyperb., purple)<br> bottom: Limit surfaces between the types$
$Confocal quadrics: <br /> <math> a=1,\;b=0.8,\;c=0.6,\ </math> <br /> <math> \lambda_1=0.1</math> (red),<math>\ \lambda_2=0.5 </math> (blue), <math>\lambda_3=0.8 </math> (purple)$

CONIC SECTIONS WITH THE SAME FOCI

Confocal quadrics; Ivory's theorem; Graves's theorem

In geometry, two conic sections are called confocal, if they have the same foci. Because ellipses and hyperbolas possess two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas.

https://en.wikipedia.org/wiki/Confocal_conic_sections

Conic optimization

SUBFIELD OF CONVEX OPTIMIZATION

Conic programming

Conic optimization is a subfield of convex optimization that studies problems consisting of minimizing a convex function over the intersection of an affine subspace and a convex cone.

https://en.wikipedia.org/wiki/Conic_optimization

Conic bundle

IN ALGEBRAIC GEOMETRY, AN ALGEBRAIC VARIETY THAT APPEARS AS A SOLUTION OF A CARTESIAN EQUATION OF THE FORM X²+AXY+BY²=P(T) FOR SOME POLYNOMIAL P

Conic Bundle; Conic Bundles; Conic bundles

In algebraic geometry, a conic bundle is an algebraic variety that appears as a solution of a Cartesian equation of the form

https://en.wikipedia.org/wiki/Conic_bundle

Conic Sections Rebellion

The Conic Sections Rebellion, also known as the Conic Section Rebellion, refers primarily to an incident which occurred at Yale University in 1830,TIMELINE OF SELECTED EVENTS IN THE HISTORY OF YALE at Yale University Library, published March 19, 2010; retrieved July 8, 2011 as a result of changes in the methods of mathematics education.Teaching Math in America: An Exhibit at the Smithsonian, from Notices of the American Mathematical Society, volume 49, no.

https://en.wikipedia.org/wiki/Conic_Sections_Rebellion

Википедия

Parabola

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

One description of a parabola involves a point (the focus) and a line (the directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus. Another description of a parabola is as a conic section, created from the intersection of a right circular conical surface and a plane parallel to another plane that is tangential to the conical surface.

The line perpendicular to the directrix and passing through the focus (that is, the line that splits the parabola through the middle) is called the "axis of symmetry". The point where the parabola intersects its axis of symmetry is called the "vertex" and is the point where the parabola is most sharply curved. The distance between the vertex and the focus, measured along the axis of symmetry, is the "focal length". The "latus rectum" is the chord of the parabola that is parallel to the directrix and passes through the focus. Parabolas can open up, down, left, right, or in some other arbitrary direction. Any parabola can be repositioned and rescaled to fit exactly on any other parabola—that is, all parabolas are geometrically similar.

Parabolas have the property that, if they are made of material that reflects light, then light that travels parallel to the axis of symmetry of a parabola and strikes its concave side is reflected to its focus, regardless of where on the parabola the reflection occurs. Conversely, light that originates from a point source at the focus is reflected into a parallel ("collimated") beam, leaving the parabola parallel to the axis of symmetry. The same effects occur with sound and other waves. This reflective property is the basis of many practical uses of parabolas.

The parabola has many important applications, from a parabolic antenna or parabolic microphone to automobile headlight reflectors and the design of ballistic missiles. It is frequently used in physics, engineering, and many other areas.

https://en.wikipedia.org/wiki/Parabola