Cartesian

Non-Cartesian coordinates 3-dimensional skew coordinates main Cartesian coordinates are arguably the standard, but not the only possible option for a Euclidean space.

To introduce the unit vectors of the local coordinate system, one approach is to begin in Cartesian coordinates and describe the local coordinates in terms of these Cartesian coordinates.

Using the Cartesian coordinate system, geometric shapes (such as curves ) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape.

Ltd. purchased a new stake in Cartesian Therapeutics in the second quarter worth about $49,000.

Many of the Cartesian Society board members are pro-choice, Barrett said, but all were open to joining the discussion and excited to tackle an issue that they believe to be urgent and important.

This soured political feud led to a spiral of political bellicosity and Cartesian maneuver, which plunged the whole of the Western region into anarchical entropy (The Wild, Wild West).

A Bilingual Edition of the Cartesian Treatise on Method, ed. and tr. by G. Heffernan, Amsterdam-Atlanta: Rodopi, 1998.

According to this Cartesian theory of vortices, planetary motions were produced by the whirling of fluid vortices that filled interplanetary space and carried the planets along with them.

A circle is also a different special case of a Cartesian oval in which one of the weights is zero.

A curve on the Cartesian plane can be mapped into polar coordinates.

All three can similarly be defined for the Cartesian product of more than two sets.

Also trying to develop a theory to explain, assign or reject omnipotence on grounds of logic has little merit, since being omnipotent, in a Cartesian sense, would mean the omnipotent being is above logic.

Alternate realities in philosophy and art Predating computers A forerunner of the modern ideas of cyberspace is the Cartesian notion that people might be deceived by an evil demon that feeds them a false reality.

Amidst this turmoil, René Descartes sought answers to philosophical questions through the use of logic and reason and formulated what would be called Cartesian Dualism in 1641.

A relation from a domain A to a codomain B is a subset of the Cartesian product A × B. Given this concept, we are quick to see that the set F of all ordered pairs (x, x 2 ), where x is real, is quite familiar.

A subalgebra of A is a subset of A that is closed under all the operations of A. A product of some set of algebraic structures is the cartesian product of the sets with the operations defined coordinatewise.

Ball, pp. 268ff In this approach, a point on a plane is represented by its Cartesian (x, y) coordinates, a line is represented by its equation, and so on.

Basic properties The following section uses the Cartesian coordinate system with basis vectors : and assumes that all vectors have the origin as a common base point.

Because of the circular nature of the polar coordinate system, many curves can be described by a rather simple polar equation, whereas their Cartesian form is much more intricate.

By evaluating a NURBS at various values of the parameters, the curve can be traced through space; likewise, by evaluating a NURBS surface at various values of the two parameters, the surface can be represented in Cartesian space.