Примеры использования Polar coordinates на Английском языке и их переводы на Русский язык
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Features(Polar coordinates).
Polar coordinates clock for the iPhone AppStore, Free.
Convert between Cartesian and polar coordinates.
Let be the polar coordinates of the vertex of the polygon.
Construction of curves given by the equations in polar coordinates.
Polar coordinates naturally generalize to higher dimensions.
Supports functions with parameters and functions in polar coordinates.
Blaise Pascal subsequently used polar coordinates to calculate the length of parabolic arcs.
Thus, indeed, the solution is a straight line given in polar coordinates.
Cavalieri first used polar coordinates to solve a problem relating to the area within an Archimedean spiral.
The natural flat outlines are shaped by the oscillations of radius in the polar coordinates.
In circular polar coordinates, the generalized momentum corresponding to the angular velocity is the physical angular momentum.
Using the Euler-Lagrange equations,this can be shown in polar coordinates as follows.
At the same time, polar coordinates used in the space of statuses provide to evaluate not only quantitative, but also qualitative indicators.
Features of the algorithm unscented Kalman filter when observing objects in polar coordinates/ P.A.
However, because a point may be represented in multiple ways in polar coordinates, there may be other branches of the cissoid which have a different equation.
The article presents the methods of studying graphics programming language through the example of the construction of curves given by the equations in polar coordinates.
The equation in polar coordinates has been solved by a numerical method that allowed constructing the lines of elementary knife immersion into the material for different knife circumferential speeds.
A mathematical model of an elementary knife immersion into а material in the form of differential equation of the immersion line has been formulated in polar coordinates.
Similarly, a 2×2 matrix can also be expressed in polar coordinates with the caveat that there are two connected components of the group of units in the dual number plane, and four components in the split-complex number plane.
Compass bearing(angle of the topographic direction between the reference point and a given site) is calculated for each point andthe information is reported on a graphe in polar coordinates.
For example, if the same covariant derivative is written in polar coordinates in a two dimensional Euclidean plane, then it contains extra terms that describe how the coordinate grid itself"rotates.
New, dedicated functions are available to convert between Cartesian and the two most important non-Cartesian coordinate systems: polar coordinates and spherical coordinates. .
The sinusoidal spirals are a family of curves defined by the equation in polar coordinates r n a n cos( n θ){\displaystyle r^{ n}= a^{ n}\ cos( n\ theta)\,} where a is a nonzero constant and n is a rational number other than 0.
Moreover, many physical systems-such as those concerned with bodies moving around a central point or with phenomena originating from a central point-are simpler andmore intuitive to model using polar coordinates.
If the origin is moved to(a, 0) then a derivation similar to that given above shows that the equation of the curve in polar coordinates becomes r a 2 cos θ 3{\displaystyle r={\frac{a}{2\cos{\theta\over 3}}}\!} making it an example of an epispiral.
Every complex number can be represented as a point in the complex plane, and can therefore be expressed by specifying either the point's Cartesian coordinates(called rectangular or Cartesian form)or the point's polar coordinates called polar form.
In Method of Fluxions(written 1671, published 1736),Sir Isaac Newton examined the transformations between polar coordinates, which he referred to as the"Seventh Manner; For Spirals", and nine other coordinate systems.
Programming with path function keys If contoursare dimensioned for NC, which means that the end points are specified in Cartesian or polar coordinates, then you can program them directly with the path function keys.
Also in the 9th century, the Persian mathematician and geographer, Habash al-Hasib al-Marwazi, employed spherical trigonometry andmap projection methods in order to convert polar coordinates to a different coordinate system centred on a specific point on the sphere, in this the Qibla, the direction to Mecca.