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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
Type of mechanical system
masses). A drawback of parallel manipulators, in comparison to serial manipulators, is their limited workspace. As for serial manipulators, the workspace is
Parallel_manipulator
Robot with axes of control that are linear and orthogonal
base of serial manipulators. Multiple chains (limbs) connect the moving object to the base of parallel manipulators. Most Cartesian coordinate robots
Cartesian_coordinate_robot
Industrial robot
Robotics Design Universal Robots Parallel manipulator Robot kinematics D.L. Pieper. The kinematics of manipulators under computer control. PhD Thesis
Serial_manipulator
Robot used in manufacturing
base to an end-effector. SCARA, Stanford manipulators are typical examples of this category. A parallel manipulator is designed so that each chain is usually
Industrial_robot
materialism Cartesian theater Cartesian Method Descartes' demon Cartesian coordinate robot Cartesian parallel manipulators Blanche Descartes Cartesian linguistics
List of things named after René Descartes
List_of_things_named_after_René_Descartes
POE chain for a given manipulator. This allows generating of complex trajectories of the end-effector in Cartesian space (Cartesian coordinate system) given
Product of exponentials formula
Product_of_exponentials_formula
Study of geometry using a coordinate system
discrete and computational geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles
Analytic_geometry
Representation of a tensor in Euclidean space
A. Balafoutis; R. V. Patel (1991). Dynamic Analysis of Robot Manipulators: A Cartesian Tensor Approach. The Kluwer International Series in Engineering
Cartesian_tensor
Type of industrial robotic arm
stations that are enclosed. SCARAs are generally faster than comparable Cartesian robot systems. Their single pedestal mount requires a small footprint
SCARA
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
Aspect of robotics
Control of a Manipulator in Cartesian Coordinates. 19th IEEE Conference on Decision and Control. Dapper, Marcus (2003). Kraftsensorlose Manipulator Kraftsteuerung
Force_control
Prosthetic robots: programmable manipulators or devices for missing human limbs. Remote manipulator: A manipulator under direct human control, often
Glossary_of_robotics
Type of mechanical arm with similar functions to a human arm
allowing for less invasive treatments and faster recovery. AI-powered manipulators are also used in agricultural robots for precise planting, harvesting
Robotic_arm
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
Message-passing system for parallel computers
Interface (MPI) is a portable message-passing standard designed to function on parallel computing architectures. The MPI standard defines the syntax and semantics
Message_Passing_Interface
Computer-based generation of digital images
Richard Paul, 1981, Robot manipulators: mathematics, programming, and control : the computer control of robot manipulators, MIT Press, Cambridge, MA Pile
2D_computer_graphics
Competitive algorithm for searching a problem space
algorithms. There are many variants of Genetic Programming, including Cartesian genetic programming, Gene expression programming, grammatical evolution
Genetic_algorithm
Broad concept generalizing scalars in mathematics and physics
example, a position vector in physical space may be expressed as three Cartesian coordinates with SI unit of meters. In physics and engineering, particularly
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
French computer scientist
philosopher Jules Vuillemin. Vuillemin invented the binomial heap[B] and Cartesian tree data structures.[C] With Ron Rivest, he proved one of the Aanderaa–Rosenberg
Jean_Vuillemin
Overview of and topical guide to robotics
directly. Delta robot – tripod linkage, used to construct fast-acting manipulators with a wide range of movement. Drive power – energy source or sources
Outline_of_robotics
Device for manipulating an end effector
adapted to new processes. The parallel linkage allows for faster head movements and reduced inertia compared to Cartesian printers. Microscale delta robots
Delta_robot
Shielding an object from view using materials made to redirect light
initial configuration of the electromagnetic fields on to a Cartesian mesh. Twisting the Cartesian mesh, in essence, transforms the coordinates of the electromagnetic
Metamaterial_cloaking
Philosophical idea that only one's own mind is sure to exist
used as a thought experiment to assist skepticism (e.g. René Descartes' Cartesian skepticism).[citation needed] Mere denial of material existence, in itself
Solipsism
Relationship between elements of two sets
{\displaystyle Y} can be identified with an element of the power set of the Cartesian product X × Y . {\displaystyle X\times Y.} Since a powerset is a lattice
Binary_relation
functions. Analytic geometry 1. Also known as Cartesian geometry, the study of Euclidean geometry using Cartesian coordinates. 2. Analogue to differential
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Analysis and solving of problems that involve fluid flows
IAI/Analytical Methods' MGAERO program. MGAERO is unique in being a structured cartesian mesh code, while most other such codes use structured body-fitted grids
Computational_fluid_dynamics
Branch of physics describing the motion of objects without considering forces
Paul, Richard (1981). Robot manipulators: mathematics, programming, and control : the computer control of robot manipulators. MIT Press, Cambridge, MA.
Kinematics
Ancient Greek geometer and astronomer (c. 240–190 BC)
whether his coordinate system can be considered Cartesian. There are some differences. The Cartesian system is to be regarded as universal, covering all
Apollonius_of_Perga
Substrates performing biochemical reactions
process of placing each sensor at a specific position (typically on a Cartesian grid) on the substrate. Various means exist to achieve the placement,
Biochip
Catalan solid with 12 faces
the eight vertices where three faces meet at their obtuse angles have Cartesian coordinates (±1, ±1, ±1). In the case of the coordinates of the six vertices
Rhombic_dodecahedron
Structural design made of isolated members held in place by tension
opposite face of the cube, but orthogonal to all other struts. If the Cartesian coordinates of one strut are ( 0 , d , l ) {\displaystyle (0,d,l)}
Tensegrity
provided to perform many functions including: energy minimizing over Cartesian coordinates, torsional angles, or rigid bodies via conjugate gradient
Tinker_(software)
Correspondence between quaternions and 3D rotations
+ ay j + az k, where i, j, k are unit vectors representing the three Cartesian axes (traditionally x, y, z), and also obey the multiplication rules of
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Quadric surface that looks like a deformed sphere
known as triaxial ellipsoid, is a quadratic surface which is defined in Cartesian coordinates as: x 2 a 2 + y 2 b 2 + z 2 c 2 = 1 , {\displaystyle {\frac
Ellipsoid
Mathematical model combining space and time
a position is specified by three numbers, known as dimensions. In the Cartesian coordinate system, these are often called x, y and z. A point in spacetime
Spacetime
Philosophical approach
normativity and value. Others, such as Sosa's account, can circumvent Cartesian skepticism with the necessity of externalism interacting with internalism
Virtue_epistemology
Thought experiment on artificial intelligence
theory. Searle's biological naturalism and strong AI are both opposed to Cartesian dualism, the classical idea that the brain and mind are made of different
Chinese_room
Type of logical system
compensate by adding additional rules of inference that can be used to manipulate the logical connectives in formulas in the proof. The sequent calculus
First-order_logic
Reals with an extra square root of +1 adjoined
Practice of Robots and Manipulators: Proceedings of Romansy 2014 XX CISM-IFToMM Symposium on Theory and Practice of Robots and Manipulators. Mechanisms and Machine
Split-complex_number
Indian defense projects under DRDO
across different projects. These include "Pythagoras processor" to convert cartesian to polar coordinates, ANUCO, a floating point coprocessor and several
Projects_of_DRDO
Mathematical-logic system based on functions
categories, e.g., the simply typed lambda calculus is the language of a Cartesian closed category (CCC). Whether a term is normalising or not, and how much
Lambda_calculus
Branch of mathematics
understood in the widest sense, an algebraic operation is a function from a Cartesian power of a set into that set, expressed formally as ω : A n → A {\displaystyle
Algebra
history of epiphenomenalism goes back to the post-Cartesian attempt to solve the riddle of Cartesian dualism, i.e., of how mind and body could interact
Animal_consciousness
Matrix representing a Euclidean rotation
counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system. To perform the rotation on a plane point with standard
Rotation_matrix
Interdisciplinary theory
challenges other theories, such as cognitivism, computationalism, and Cartesian dualism. It is closely related to the extended mind thesis, situated cognition
Embodied_cognition
Algorithm for searching a problem space
(1998). "An evolutionary and local search algorithm for planning two manipulators motion". Tasks and Methods in Applied Artificial Intelligence. Lecture
Memetic_algorithm
Totality of existing entities
different view suggests that reality is made up of many worlds that exist in parallel to one another, each representing a distinct way of how things could have
Reality
Property that varies over space
point sample, consisting of locations that are evenly spaced in each cartesian direction. These are typically stored in a Raster data structure. Examples
Field_(geography)
Biomolecule consisting of chains of amino acid residues
structural data about thousands of proteins can be obtained in the form of Cartesian coordinates for each atom in the protein. Many more gene sequences are
Protein
Relationship between two sets, defined by a set of ordered pairs
numbers can be represented as a two-dimensional geometric figure: using Cartesian coordinates, draw a point at (x,y) whenever (x,y) ∈ R. A transitive relation
Relation_(mathematics)
Canadarm2 Care-Providing Robot FRIEND Carmen Toolkit Carter Bays Cartesian coordinate robot Cartesian coordinates Caterpillar track Cerebellar Model Articulation
Index_of_robotics_articles
Relativistic correction
direction. The axis of the Wigner rotation is along the z direction. In the Cartesian basis ex, ey, ez, a set of mutually perpendicular unit vectors in their
Thomas_precession
German polymath and scholar (1777–1855)
surfaces, as it departed from the traditional ways of treating surfaces as cartesian graphs of functions of two variables, and that initiated the exploration
Carl_Friedrich_Gauss
Symmetry of molecules of chemical compounds
the principal axis, and by convention is aligned with the z-axis in a Cartesian coordinate system. Plane of symmetry: a plane of reflection through which
Molecular_symmetry
Number of intersection points of algebraic curves and hypersurfaces
through the point (0, 1, 0) (this means that no two point have the same Cartesian x-coordinate. The resultant R(x ,t) of P and Q with respect to y is a
Bézout's_theorem
General-purpose programming language
array programming, modular programming, generic programming (Fortran 90), parallel computing (Fortran 95), object-oriented programming (Fortran 2003), and
Fortran
Class of mathematical expression
division-as-ratio interpretation is the slope of a straight line in the Cartesian plane. The slope is defined to be the "rise" (change in vertical coordinate)
Division_by_zero
Figure of speech of implicit comparison
limitations associated with a literal interpretation of the mechanistic Cartesian and Newtonian depictions of the universe as little more than a "machine"
Metaphor
Type of vector space in math
its coordinates with respect to an orthonormal basis, in analogy with Cartesian coordinates in classical geometry. When this basis is countably infinite
Hilbert_space
Computation model defining an abstract machine
mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the
Turing_machine
Algebraic manipulation of "true" and "false"
on subsets of a given set X. As we saw earlier this behavior exactly parallels the coordinate-wise combinations of bit vectors, with the union of two
Boolean_algebra
mental map. axis 1. (coordinate system) Any of the reference lines of a Cartesian coordinate system, from which the signed distances to each coordinate
Glossary of geography terms (A–M)
Glossary_of_geography_terms_(A–M)
Algebraic structure designed for geometry
associative algebra has a matrix representation; replacing the three Cartesian basis vectors by the Pauli matrices gives a representation of G ( 3
Geometric_algebra
Hungarian and American mathematician and physicist (1903–1957)
of the ENIAC forecasts quickly spread around the world and a number of parallel projects in other locations were initiated. In 1955 von Neumann, Charney
John_von_Neumann
Number with a real and an imaginary part
as a standard basis. This standard basis makes the complex numbers a Cartesian plane, called the complex plane. This allows a geometric interpretation
Complex_number
Religious and philosophical tradition
Retrieved 4 May 2023. Aronson, Martin (2002). Jesus and Lao Tzu: The Parallel Sayings. Ulysses Press. ISBN 978-1-56975-319-4. Archived from the original
Taoism
Italian Dominican friar and philosopher (1225–1274)
Aquinas in JPEG and TIFF formats St. Thomas Aquinas's Works in English Parallel and single-language texts in English and Latin with advanced search functions
Thomas_Aquinas
Philosophical study of beauty and art
manner of authentically representing real objects, frequently drawing parallels and distinctions with painting. The status of photographs as true artworks
Aesthetics
German polymath (1646–1716)
politics. Leibniz trained as a legal academic, but under the tutelage of Cartesian-sympathiser Erhard Weigel we already see an attempt to solve legal problems
Gottfried_Wilhelm_Leibniz
Visual representation of data
are visualization (histograms, scatter plots, surface plots, tree maps, parallel coordinate plots, etc.), statistics (hypothesis test, regression, PCA,
Data and information visualization
Data_and_information_visualization
Branch of optics which studies how EM radiation can be manipulated with metamaterials
initial configuration of the electromagnetic fields on to a Cartesian mesh. Twisting the Cartesian mesh, in essence, transforms the coordinates of the electromagnetic
Transformation_optics
Theory of interwoven space and time by Albert Einstein
due to unavoidable distortions in how spacetime coordinates map onto a Cartesian plane. The frames are equivalent. The consequences of special relativity
Special_relativity
Ethical problem on the origin of morality posed by Socrates
like the laws of logic, one cannot deny them without contradiction. This parallel offers a solution to the aforementioned problems of God's sovereignty,
Euthyphro_dilemma
French philosopher (1926–1984)
had an ethical character. According to Foucault this changed in the "cartesian moment", the moment when René Descartes reached the "insight" that self-awareness
Michel_Foucault
Algebra associated to any vector space
K} , so it is defined by its values on the k {\displaystyle k} -fold Cartesian product V ∗ × V ∗ × ⋯ × V ∗ {\displaystyle V^{*}\times V^{*}\times \dots
Exterior_algebra
History of maths
can do mathematics. One of many ways to define a topos is: a properly cartesian closed category with a subobject classifier. Every Grothendieck topos
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Spanish philosopher and essayist (1941–2021)
subjective design nor inert objects, and which fail to comply with the Cartesian caesura between the extensive thing and the thinking thing. The largely
Antonio_Escohotado
Branch of philosophy
can cause changes in physical states and vice versa. However, unlike cartesian dualism or some other systems, experiential dualism does not posit two
Philosophy_of_mind
Process of monitoring and controlling the movement of a craft or vehicle
etc is defined as a position using a reference point/coordinates (see Cartesian coordinate system). Positions can either be referenced as latitude/longitude
Navigation
Field of knowledge
until the 17th century, when René Descartes introduced what is now called Cartesian coordinates. This constituted a major change of paradigm: Instead of defining
Mathematics
Algebraic structure in linear algebra
above reduces to this example if an arrow is represented by a pair of Cartesian coordinates of its endpoint. The simplest example of a vector space over
Vector_space
Lecture series by Saint John Paul II
reduced to mere matter”. Pope John Paul II maintained that the stark Cartesian opposition between body and spirit leads to human sexuality as an area
Theology_of_the_Body
Kind of proof calculus
the additional hypothesis u. With proofs available explicitly, one can manipulate and reason about proofs. The key operation on proofs is the substitution
Natural_deduction
Study of the scope and nature of logic
sciences and in many cases, developments in these two fields happened in parallel. Propositional logic, for example, is an instance of Boolean algebra. It
Philosophy_of_logic
Model home designed by Le Corbusier and Pierre Jeanneret
Ferme Radieuse (Radiant Farm) and Village Radieuse (Radiant Village). The Cartesian skyscraper designed by Le Corbusier in 1938, is a type of crucicorm tower
Havana_Plan_Piloto
Concept of moral fairness and administration of the law
describes a person as having three parts: reason, spirit, and desire. These parallel the three parts of a city in his philosophy, which he describes through
Justice
Food ethics topic
Moral matters. Broadview Press, 1999, page140-141 Leiber, Justin (1988). "Cartesian Linguistics?". Philosophia. 118 (4): 309–46. doi:10.1007/BF02380646. S2CID 189835510
Ethics_of_eating_meat
system. Delta robot A tripod linkage, used to construct fast-acting manipulators with a wide range of movement. Delta-wye transformer A type of transformer
Glossary_of_engineering:_A–L
Basic notion of sameness in mathematics
symbol as "Gemowe lines", from the Latin gemellus ('twin'), using two parallel lines to represent equality because he believed that "no two things could
Equality_(mathematics)
Italian painter
located at the ‘right place’ not for one objective reason (i.e. the correct Cartesian three-dimensional metric) but by a harmonious balance of forms and colours
Pier_Augusto_Breccia
CARTESIAN PARALLEL-MANIPULATORS
CARTESIAN PARALLEL-MANIPULATORS
Girl/Female
Biblical
Parables, governing.
Girl/Female
Arabic, Muslim
Example; Allegory; Parable
Biblical
parables; governing
Surname or Lastname
English
English : from the Old French personal name Hu(gh)e, introduced to Britain by the Normans. This is in origin a short form of any of the various Germanic compound names with the first element hug ‘heart’, ‘mind’, ‘spirit’. Compare, for example, Howard 1, Hubble, and Hubert. It was a popular personal name among the Normans in England, partly due to the fame of St. Hugh of Lincoln (1140–1200), who was born in Burgundy and who established the first Carthusian monastery in England.In Ireland and Scotland this name has been widely used as an equivalent of Celtic Aodh ‘fire’, the source of many Irish surnames (see for example McCoy).
Biblical
a parable; governing
Boy/Male
Shakespearean
All's Well That Ends Well.' A follower of Bertram, Count of Rousillon.
Girl/Female
Muslim
Example, Allegory, Parable
Surname or Lastname
English
English : occupational name from Middle English combere, an agent derivative of Old English camb ‘comb’, referring perhaps to a maker or seller of combs, or to someone who used them to prepare wool or flax for spinning. This was an alternative process to carding, and caused the wool fibers to lie more or less parallel to one another, so that the cloth produced had a hard, smooth finish without a nap.English : variant of Coomber.Probably an Americanized spelling of German Kommer or Kammer.
Girl/Female
Biblical
A parable, governing.
CARTESIAN PARALLEL-MANIPULATORS
CARTESIAN PARALLEL-MANIPULATORS
Male
Polish
(Cyrillic Ðикифор): Bulgarian, Polish and Russian masculine form of Greek unisex Nikephoros, NIKIFOR means "victory-bearer."
Surname or Lastname
English
English : patronymic from a pet form of Hugh.
Boy/Male
Indian
Peak, Lord of Sun
Boy/Male
Hindu
A person who attains fame and glory
Boy/Male
Hindu, Indian, Marathi, Oriya, Sanskrit, Tamil
Born of the Mind
Girl/Female
Greek
Righteousness.
Girl/Female
Indian
Dream
Biblical
dedicated; disciplined
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Telugu
Virtuous
Girl/Female
Hindu, Indian, Tamil
First Ray of Sun
CARTESIAN PARALLEL-MANIPULATORS
CARTESIAN PARALLEL-MANIPULATORS
CARTESIAN PARALLEL-MANIPULATORS
CARTESIAN PARALLEL-MANIPULATORS
CARTESIAN PARALLEL-MANIPULATORS
n.
A Carthusian.
v. t.
To place or set so as to be parallel; to place so as to be parallel to, or to conform in direction with, something else.
v. t.
To produce or adduce as a parallel.
a.
Extended in the same direction, and in all parts equally distant; as, parallel lines; parallel planes.
imp. & p. p.
of Parallel
a.
Continuing a resemblance through many particulars; applicable in all essential parts; like; similar; as, a parallel case; a parallel passage.
v. i.
To be parallel; to correspond; to be like.
adv.
In a parallel manner; with parallelism.
a.
Having opposite surfaces exactly plane and parallel, as a piece of glass.
n.
A line which, throughout its whole extent, is equidistant from another line; a parallel line, a parallel plane, etc.
n.
Same as Carnelian.
v. t.
To represent by parable.
a.
Of or pertaining to the French philosopher Rene Descartes, or his philosophy.
n.
Sard; carnelian.
n.
One of the imaginary circles on the surface of the earth, parallel to the equator, marking the latitude; also, the corresponding line on a globe or map.
n.
One of a series of long trenches constructed before a besieged fortress, by the besieging force, as a cover for troops supporting the attacking batteries. They are roughly parallel to the line of outer defenses of the fortress.
n.
An adherent of Descartes.
n.
A character consisting of two parallel vertical lines (thus, ) used in the text to direct attention to a similarly marked note in the margin or at the foot of a page.
n.
A comparison made; elaborate tracing of similarity; as, Johnson's parallel between Dryden and Pope.
a.
Pertaining to the Carthusian.