Results 251 to 260 of about 167,469 (284)

Possible Kinematics

Journal of Mathematical Physics, 1968
The kinematical groups are classified; they include, besides space-time translations and spatial rotations, ``inertial transformations'' connecting different inertial frames of reference. When parity and time-reversal are required to be automorphisms of the groups, and when a weak hypothesis on causality is made, the only possible groups are found to ...
Bacry, Henri, Lévy-Leblond, Jean-Marc
openaire   +1 more source

Kinematics of the Eye

Journal of the Optical Society of America, 1957
A mathematical discussion is presented of eye positions and eye movements in terms of quaternion theory. An eye movement may be regarded as a rotation of the eye about an axis through the center of rotation. The parameters of the axis of rotation and the extent of the rotation are associated to form a higher complex number, and this leads to the ...
openaire   +2 more sources

Carpal Kinematics

Hand Clinics, 2006
The motion of the eight carpal bones is extremely complex, and their accurate measurement has been hampered by their multiplanar rotations and translations, the irregularity of their shape, and the small magnitudes of movements. However, an accurate three-dimensional understanding of carpal motion is critical for academic and clinical purposes, and may
Michael J, Gardner   +2 more
openaire   +2 more sources

Plane Kinematics

The Mathematical Gazette, 1952
Historical. That the problems of plane kinematics should have been studied for a long period is natural; they present themselves quite easily, and in simple fashion. At the end of the seventeenth century, and the beginning of the eighteenth century, De La Hire investigated roulettes, and to him also is due the introduction of the inflexion circle, as ...
openaire   +1 more source

More on Kinematics

2009
In this chapter, we continue the study of kinematics by considering in more detail the motion of fluid parcels, by deriving expressions for the areal, volumetric, and mass flow rates across lines and surfaces drawn in a fluid, and by developing numerical methods for evaluating kinematic variables of interest in terms of derivatives and integrals of the
openaire   +1 more source

Kinematics

2020
Abstract This chapter develops the necessary mathematics for describing general deformations that a solid body may undergo, a topic known as kinematics. Definitions of motion, displacement, velocity, and acceleration which are vectors, and the deformation gradient and displacement gradient which are tensors are given.
Lallit Anand, Sanjay Govindjee
openaire   +1 more source

Introduction to Kinematics

2009
We begin the study of fluid mechanics by pointing out the differences between fluids and solids and by describing a fluid flow in terms of the motion of elementary fluid parcels. As the volume of a parcel becomes infinitesimal, the parcel reduces to a point particle and the average velocity of the parcel reduces to the local fluid velocity computed ...
openaire   +1 more source

Home - About - Disclaimer - Privacy