After trajectory hopping from one potential energy surface to another, we need to redistribute this angular momentum change into six atoms (see Scheme 1) in the Cartesian coordinate systems
and the detailed procedure is given in Appendix C.
Thus, as a main hypothesis, I postulate that the ancient Incan astronomers might have developed a method of defining the location of points on a plane based on their distances from two fixed, perpendicular, straight lines (axes), that is, concepts that prefigure the two-dimensional Cartesian coordinate system
, which knot makers/keepers encoded on khipu.
We can use this formula because all triangles in our Cartesian coordinate system
are right triangles.
The number of evaluation points in polar coordinate system is determined by distances between evaluation points and wheel loads in the Cartesian coordinate system
as shown in Fig.
and since the required distance can be found from the Cartesian coordinates of A and B, we should turn students' attention to the task of converting latitude-longitude coordinates into Cartesian ones after informing them that the origin of the Cartesian coordinate system
is at the centre of the Earth, the positive part of the x-axis goes through latitude 0 and longitude 0, and the positive part of the z-axis goes through the North Pole.
Reswitching to the Cartesian coordinate system
and considering the last equation we can easily see that
In order to avoid numerical problems and simplify equations of motion, the simulation environment features equations of motion in the Cartesian coordinate system
. A special set of transformations has to be applied in order to convert a vehicle's forces from body fixed reference frame to an inertial frame where integration of states takes place.
of New York) explains how MATLAB is used in real-world engineering applications by introducing basic matrix concepts, definitions and operations before moving onto the commands needed to master the graphics features such as 2-D and 3-D plots in the Cartesian coordinate system
. Sections of this manual are also devoted to flow control, and how it is affected by relations, expressions and branching.
In the eyes of a mathematician, these patterns belong to something called the Cartesian coordinate system
. The images fit onto graphs with an x-axis and a y-axis, where each point on the graph is given by two numbers, or coordinates.
I will mark the absolute value (the intensity of motivation factors) of these needs on axes of a Cartesian coordinate system
He is immortalized today in the name of the Cartesian coordinate system
, and the transformation of thought he helped usher has left repercussions up to the modern day.
The main issue is to determine if the spatial distribution of the inhibitory effect is best described on the basis of a Cartesian coordinate system
(in which positions are defined by vertical and horizontal vectorial components) or on the basis of a Polar coordinate system (in which positions are defined by vectors of a given direction and amplitude).