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Topics referred to by the same term
category theory Cartesian coordinate system, modern rectangular coordinate system Cartesian diagram, a construction in category theory Cartesian geometry, now
Cartesian
Coordinate system using perpendicular axes
In geometry, a Cartesian coordinate system (UK: /kɑːrˈtiːzjən/, US: /kɑːrˈtiːʒən/) in a plane is a coordinate system that specifies each point uniquely
Cartesian_coordinate_system
Philosophical and scientific system of René Descartes
Cartesianism is the philosophical and scientific system of René Descartes and its subsequent development by other seventeenth century thinkers, most notably
Cartesianism
Mathematical set formed from two given sets
In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is an
Cartesian_product
1966 book by Noam Chomsky
Cartesian Linguistics: A Chapter in the History of Rationalist Thought is a 1966 book by Noam Chomsky. Chomsky coined term Cartesian linguistics in the
Cartesian_Linguistics
Form of methodological skepticism
Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (31 March 1596 – 11 February 1650)
Cartesian_doubt
Binary tree derived from a sequence of numbers
In computer science, a Cartesian tree is a binary tree derived from a sequence of distinct numbers. To construct the Cartesian tree, set its root to be
Cartesian_tree
Philosophical term
The "Cartesian theater" is a term coined by philosopher and cognitive scientist Daniel Dennett to critique a persistent flaw in theories of mind, introduced
Cartesian_theater
Effect in mathematics from combinations
A Cartesian explosion is an effect that occurs when applying the Cartesian product to multiple sets, which results in geometric growth in the number of
Cartesian_explosion
French polymath (1596–1650)
ISBN 978-88-452-8071-9 Bucket argument Cartesian circle Cartesian plane Cartesian product Cartesian product of graphs Cartesian theater Cartesian tree Descartes number
René_Descartes
In mathematics, especially homotopy theory, a cartesian fibration is, roughly, a map so that every lift exists that is a final object among all lifts
Cartesian_fibration
Type of category in category theory
In category theory, a category is Cartesian closed if, roughly speaking, any morphism defined on a product of two objects can be naturally identified
Cartesian_closed_category
Method for specifying point positions
unique point. The prototypical example of a coordinate system is the Cartesian coordinate system. In the plane, two perpendicular lines are chosen and
Coordinate_system
Representation of a tensor in Euclidean space
In geometry and linear algebra, a Cartesian tensor uses an orthonormal basis to represent a tensor in a Euclidean space in the form of components. Converting
Cartesian_tensor
Generalised alphabetical order
order on an n-ary Cartesian product of partially ordered sets; this order is a total order if and only if all factors of the Cartesian product are totally
Lexicographic_order
Operation in graph theory
In graph theory, the Cartesian product G □ H of graphs G and H is a graph such that: the vertex set of G □ H is the Cartesian product V(G) × V(H); and
Cartesian_product_of_graphs
Concept in philosophy of mind
In philosophy of mind, cartesian materialism, a term coined by Daniel Dennett, views consciousness as tied to one or more specific brain areas that capture
Cartesian_materialism
Classic science experiment demonstrating the Archimedes' principle and the ideal gas law
Dancing Cartesian Devil A Cartesian diver or Cartesian devil is a classic science experiment which demonstrates the principle of buoyancy (Archimedes'
Cartesian_diver
Error in reasoning attributed to René Descartes
The Cartesian circle (also known as Arnauld's circle) is an example of fallacious circular reasoning attributed to French philosopher René Descartes.
Cartesian_circle
Class of geometric plane curves
In geometry, a Cartesian oval is a plane curve consisting of points that have the same linear combination of distances from two fixed points (foci). These
Cartesian_oval
Part of a thought experiment
The Cartesian Self or Cartesian subject is a philosophical concept developed by French philosopher René Descartes within his system of mind–body dualism
Cartesian_Self
A Cartesian monoid is a monoid, with additional structure of pairing and projection operators. It was first formulated by Dana Scott and Joachim Lambek
Cartesian_monoid
2-dimensional kinematic system
an intricate way to provide movement in a Cartesian coordinate system. Compared to conventional Cartesian coordinate 3D printers for fused filament,
CoreXY
Study of geometry using a coordinate system
mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts
Analytic_geometry
Book by Edmund Husserl
Cartesian Meditations: An Introduction to Phenomenology (French: Méditations cartésiennes: Introduction à la phénoménologie) is a book by the philosopher
Cartesian_Meditations
Cartesian parallel manipulators are manipulators that move a platform using parallel-connected kinematic linkages ('limbs') lined up with a Cartesian
Cartesian parallel manipulators
Cartesian_parallel_manipulators
Philosophical theory
John Foster, Stewart Goetz, Richard Swinburne and Charles Taliaferro. Cartesian dualism, most famously defended by René Descartes, argues that there are
Mind–body_dualism
Phrase of the philosopher René Descartes
Charles Porterfield Krauth. Fumitaka Suzuki writes "Taking consideration of Cartesian theory of continuous creation, which theory was developed especially in
Cogito,_ergo_sum
Proposed tower design by Le Corbusier
The Cartesian sky-scraper, designed by Le Corbusier in 1938, is a type of tower known for its modern and rational design. This type of modern administration
Cartesian_skyscraper
Type of category in category theory
is called a cartesian monoidal category. Any category with finite products (a "finite product category") can be thought of as a cartesian monoidal category
Cartesian_monoidal_category
Robot with axes of control that are linear and orthogonal
A Cartesian coordinate robot (also called linear robot) is an industrial robot whose three principal axes of control are linear (i.e. they move in a straight
Cartesian_coordinate_robot
Cartesian genetic programming is a form of genetic programming that uses a graph representation to encode computer programs. It grew from a method of
Cartesian_genetic_programming
Cartesian anxiety is a philosophical concept for the conflict that a subject experiences of failing to have—in reality—either a fixed and stable foundation
Cartesian_anxiety
Coordinate system
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. The axes
Quadrant_(plane_geometry)
2009 studio album by House of Lords
Cartesian Dreams is the seventh studio album by the rock band House of Lords. It was released on September 18, 2009 in Europe and October 13, 2009 in
Cartesian_Dreams
System to specify locations on Earth
longitude form a coordinate pair like a Cartesian coordinate system, geographic coordinate systems are not Cartesian because the measurements are angles and
Geographic_coordinate_system
Coordinates comprising a distance and two angles
first in the Cartesian xy plane from (x, y) to (R, φ), where R is the projection of r onto the xy-plane, and the second in the Cartesian zR-plane from
Spherical_coordinate_system
Coordinates comprising a distance and an angle
coordinate, polar angle, or azimuth. The pole is analogous to the origin in a Cartesian coordinate system. Polar coordinates are most appropriate in any context
Polar_coordinate_system
{\displaystyle x^{p}y^{q}} is the basis function. Cartesian velocity moments are based on these Cartesian moments. A Cartesian velocity moment v m p q μ γ {\displaystyle
Velocity_Moments
Molecular modeling tool in chemistry
will not necessarily be the same as an original set of Cartesian coordinates if you convert Cartesian coordinates to a Z matrix and back again. While the
Z-matrix_(chemistry)
SQL clause
('Robinson', 34), ('Smith', 34), ('Williams', NULL); CROSS JOIN returns the Cartesian product of rows from tables in the join. In other words, it will produce
Join_(SQL)
Basic level of knowledge and judgement shared by nearly all people
empiricist modern thinking. It was contrasted to metaphysics, which was, like Cartesianism, associated with the Ancien Régime. Thomas Paine's polemical pamphlet
Common_sense
Italian Dominican friar and philosopher (1225–1274)
Compatibilism Divine Attributes Schools Augustinianism Victorines Lullism Cartesianism Christian Neoplatonism Friends of God Molinism Ressourcement Occamism
Thomas_Aquinas
Algebraic operation on coordinate vectors
vectors is the dot product of their Cartesian coordinates, and is independent from the choice of a particular Cartesian coordinate system. The terms "dot
Dot_product
Mathematical gradient operator in certain coordinate systems
{\displaystyle \varphi } in the formulae shown in the table above. ^β Defined in Cartesian coordinates as ∂ i A ⊗ e i {\displaystyle \partial _{i}\mathbf {A} \otimes
Del in cylindrical and spherical coordinates
Del_in_cylindrical_and_spherical_coordinates
Most general completion of a commutative square given two morphisms with same codomain
pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram consisting of two morphisms f : X → Z
Pullback_(category_theory)
Property of a mathematical space
two dimensions, and a cube describes three dimensions. (See Space and Cartesian coordinate system.) A temporal dimension, or time dimension, is a dimension
Dimension
3-D coordinate system centered on the Earth
(acronym ECEF), also known as the geocentric coordinate system, is a cartesian spatial reference system that represents locations in the vicinity of
Earth-centered, Earth-fixed coordinate system
Earth-centered,_Earth-fixed_coordinate_system
Coordinate system whose directions vary in space
coordinate lines may be curved. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one
Curvilinear_coordinates
Concept in category theory
{\displaystyle E} -categories is called a cartesian functor if it takes cartesian morphisms to cartesian morphisms. Cartesian functors between two E {\displaystyle
Fibred_category
Concept in philosophy and early physics
In philosophy and early physics, horror vacui (Latin: horror of the vacuum) or plenism (/ˈpliːnɪzəm/)—commonly stated as "nature abhors a vacuum", for
Horror_vacui_(philosophy)
Geometric model of the physical space
solid figure. Technically, a tuple of n numbers can be understood as the Cartesian coordinates of a location in a n-dimensional Euclidean space. The set
Three-dimensional_space
Concept in Cartesian philosophy
evil genius, is an epistemological concept that features prominently in Cartesian philosophy. In his Meditations on First Philosophy, Descartes imagines
Evil_demon
2019 book by John Newell Martin
The Cartesian Semantics of the Port-Royal Logic is a Philosophy book by John N. Martin, first published in 2019 by Routledge. This book provides an analysis
The Cartesian Semantics of the Port Royal Logic
The_Cartesian_Semantics_of_the_Port_Royal_Logic
Cartesian product of 3 circles
3-torus, is defined as any topological space that is homeomorphic to the Cartesian product of three circles, T 3 = S 1 × S 1 × S 1 . {\displaystyle \mathbb
3-torus
Horizontal and vertical axes/coordinate numbers of a 2D coordinate system or graph
ordinate are respectively the first and second coordinate of a point in a Cartesian coordinate system: abscissa ≡ x {\displaystyle \equiv x} -axis (horizontal)
Abscissa_and_ordinate
demihexeract Small cellated hemihexeract (Acronym: sochax) (Jonathan Bowers) The Cartesian coordinates for the vertices, centered at the origin are coordinate permutations:
Pentic_6-cubes
Topology on Cartesian products of topological spaces
In topology and related areas of mathematics, a product space is the Cartesian product of a family of topological spaces equipped with a natural topology
Product_topology
Coordinates comprising two distances and an angle
between cylindrical and Cartesian coordinates, it is convenient to assume that the reference plane of the former is the Cartesian xy-plane (with equation
Cylindrical_coordinate_system
Compressed image file format
Cartesian Perceptual Compression (abbreviated CPC, with filename extension .cpc) is a proprietary image file format. It was designed for high compression
Cartesian Perceptual Compression
Cartesian_Perceptual_Compression
Set of vices in Christian theology
Compatibilism Divine Attributes Schools Augustinianism Victorines Lullism Cartesianism Christian Neoplatonism Friends of God Molinism Ressourcement Occamism
Seven_deadly_sins
Vector graphics using a relative cursor on a Cartesian plane
graphics are vector graphics using a relative cursor (the "turtle") upon a Cartesian plane (x and y axis). Turtle graphics is a key feature of the Logo programming
Turtle_graphics
Geometric model of the planar projection of the physical universe
angle measurement. A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane. The set R 2 {\displaystyle \mathbb {R} ^{2}}
Euclidean_plane
Geometric object that has length and direction
vectors is 0 if they are different and 1 if they are equal). This defines Cartesian coordinates of any point P of the space, as the coordinates on this basis
Euclidean_vector
2D surface which extends indefinitely
angle measurement. A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane. The set R 2 {\displaystyle \mathbb {R} ^{2}}
Plane_(mathematics)
1641 book by René Descartes
important step away from the Aristotelian reliance on the senses and toward Cartesian rationalism. Read on its own, the First Meditation can be seen as presenting
Meditations on First Philosophy
Meditations_on_First_Philosophy
Procedures for constructing new graphs in graph theory
(for unlabelled graphs); graph products based on the cartesian product of the vertex sets: cartesian graph product: it is a commutative and associative
Graph_operations
Concept in General Topology
In topology, the cartesian product of topological spaces can be given several different topologies. One of the more natural choices is the box topology
Box_topology
Open question in philosophy of how abstract minds interact with physical bodies
approach have expressed the hope that it will ultimately dissolve the Cartesian divide between the immaterial mind and the material existence of human
Mind–body_problem
\beta ,\gamma } respectively. A widely used coordinate system is the Cartesian coordinate system, which consists of orthonormal basis vectors. This means
Fractional_coordinates
Tessellation of Euclidean space
for some real numbers dx, dy, and dz representing the grid spacing. A Cartesian grid is a special case where the elements are unit squares or unit cubes
Regular_grid
Coordinate system that is defined by points instead of vectors
homogeneous coordinates. Barycentric coordinates are strongly related with Cartesian coordinates and, more generally, to affine coordinates (). Barycentric
Barycentric_coordinate_system
1637 treatise by Descartes
Géométrie contains Descartes's initial concepts that later developed into the Cartesian coordinate system. The text was written and published in French so as
Discourse_on_the_Method
American daily newspaper
pipeline to take in TIFF images, article metadata in XML and an INI file of Cartesian geometry describing the boundaries of the page, and convert it into a
The_New_York_Times
Vector of length one
of a Cartesian coordinate system. For instance, the standard unit vectors in the direction of the x, y, and z axes of a three dimensional Cartesian coordinate
Unit_vector
Relation between sides of a right triangle
dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the
Pythagorean_theorem
Particular configuration of sensing elements found in a class of seismic instruments
oriented towards east–west (E), north–south (N) and up-down (Z), i.e. in the Cartesian coordinate system. In contrast, the Galperin configuration consists of
Galperin_configuration
Square with side length one
specifically to the square in the Cartesian plane with corners at the four points (0, 0), (1, 0), (0, 1), and (1, 1). In a Cartesian coordinate system with coordinates
Unit_square
Epistemological theory
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
Foundationalism
Cartesian product of two polytopes
is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions or higher. The Cartesian product of an n-polytope and an m-polytope
Duoprism
Cartesian metaphysical concept
extensa is one of the two substances described by René Descartes in his Cartesian ontology (often referred to as "radical dualism"), alongside res cogitans
Res_extensa
British philosopher and academic
He was Professor of Philosophy at Durham University. He defended non-Cartesian dualism. Lowe was born in Dover, England. His secondary education was
E._J._Lowe_(philosopher)
Cartesian geographic coordinate system
of spatial reference system that represents locations on Earth using Cartesian coordinates (x, y) on a planar surface created by a particular map projection
Projected_coordinate_system
Status between belief and disbelief
can create an effective climate of fear and doubt. Descartes employed Cartesian doubt as a pre-eminent methodological tool in his fundamental philosophical
Doubt
transformations. Let ( x , y ) {\displaystyle (x,y)} be the standard Cartesian coordinates, and ( r , θ ) {\displaystyle (r,\theta )} the standard polar
List of common coordinate transformations
List_of_common_coordinate_transformations
Length of a line segment
length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore
Euclidean_distance
Generalization of the Cartesian product
structures in a specific way, described below. Its underlying set is the Cartesian product of the underlying sets of the given structures. The direct sum
Direct_product
analysis, the generalized structure tensor (GST) is an extension of the Cartesian structure tensor to curvilinear coordinates. It is mainly used to detect
Generalized_structure_tensor
1949 book by Gilbert Ryle
The work has been cited as having "put the final nail in the coffin of Cartesian dualism," and has been seen as a founding document in the philosophy of
The_Concept_of_Mind
Fundamental space of geometry
E n {\displaystyle \mathbb {E} ^{n}} , which can be represented using Cartesian coordinates as the real n-space R n {\displaystyle \mathbb {R} ^{n}} equipped
Euclidean_space
Head of the Catholic Church from 1978 to 2005
Compatibilism Divine Attributes Schools Augustinianism Victorines Lullism Cartesianism Christian Neoplatonism Friends of God Molinism Ressourcement Occamism
Pope_John_Paul_II
5-dimensional hypercube
&4&80&3&3\\8&12&6&40&2\\16&32&24&8&10\end{matrix}}\end{bmatrix}}} The Cartesian coordinates of the vertices of a 5-cube centered at the origin and having
5-cube
Mathematical form
things (of a given type) that have Cartesian products is called a Cartesian category. Many of these are Cartesian closed categories. Sets are an example
Product_(mathematics)
Epistemological view centered on reason
what is known as the mind–body problem, since the two substances in the Cartesian system are independent of each other and irreducible. The philosophy of
Rationalism
Book by René Descartes
Trademark argument Causal adequacy principle Mind–body dichotomy Cartesian circle Cartesian diver Balloonist theory Wax argument Res cogitans Res extensa
The_World_(book)
Four-dimensional analogue of the cube
Schläfli symbol {4,3} × { }, with symmetry order 96. As a 4-4 duoprism, a Cartesian product of two squares, it can be named by a composite Schläfli symbol
Tesseract
Mathematical formula expressing equality
to have the value of 2 (R = 2), this equation would be recognized in Cartesian coordinates as the equation for the circle of radius of 2 around the origin
Equation
Directional planes
drawn from "up" to "down" (or down to up), such as the y-axis in the Cartesian coordinate system. The word horizontal is derived from the Latin horizon
Vertical_and_horizontal
Circle that passes through the vertices of a triangle
possible to give explicitly an equation of the circumcircle in terms of the Cartesian coordinates of the vertices of the inscribed triangle. Suppose that A
Circumcircle
Barycentric plot on three variables
(1) shows an oblique projection of point P(a,b,c) in a 3-dimensional Cartesian space with axes a, b and c, respectively. If a + b + c = K (a positive
Ternary_plot
CARTESIAN
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CARTESIAN
n.
The philosophy of Descartes.
n.
An adherent of Descartes.
a.
Of or pertaining to the French philosopher Rene Descartes, or his philosophy.
n.
The system of occasional causes; -- a name given to certain theories of the Cartesian school of philosophers, as to the intervention of the First Cause, by which they account for the apparent reciprocal action of the soul and the body.