Help


[permalink] [id link]
+
Page "Continuum mechanics" ¶ 46
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

components and position
position your components before you close them in.
An alternating magnetic field is applied at the atomizer ( graphite furnace ) to split the absorption line into three components, the π component, which remains at the same position as the original absorption line, and two σ components, which are moved to higher and lower wavelengths, respectively ( see Zeeman Effect ).
Example of such a conjugate pair are position and momentum of a particle, or components of spin measured around different axes.
The task of drawing the components were complicated by the complex angles involved in the design and the degree of precision required: the position of rivet holes were specified to within 0. 1 mm ( 0. 04 in ) and angles worked out to one second of arc.
Analog computers take advantage of the strong similarities between the mathematics of small-scale properties — the position and motion of wheels or the voltage and current of electronic components — and the mathematics of other physical phenomena, for example, ballistic trajectories, inertia, resonance, energy transfer, momentum, and so forth.
The combination of these two components specifies the position of any location on the planet, but does not consider altitude nor depth.
The rigid transformation, or displacement, of M relative to F defines the relative position of the two components.
If Cartesian coordinates in SI units are used, then the components of the position four-vector are given by: x < sup > 0 </ sup > = t, x < sup > 1 </ sup > = x, x < sup > 2 </ sup > = y, and x < sup > 3 </ sup > = z, where t is time in seconds, and x, y, and z are distances in meters.
Wubi does not position its components arbitrarily: there are far too many of them, and it is only with the introduction of a logical methodology that the system becomes easy to learn.
This is important because components in the first position will have one repetition of the stroke in question ( the stroke assigned to the zone in which they belong ), those in the second, two, those in the third, three.
More commonly, they are implemented as record types, where the components are labeled instead of being identified by position alone.
* position X ( three components ),
The contravariance of the components of v is notationally designated by placing the indices of v < sup > i </ sup > in the upper position.
These were dissected tanks to demonstrate the relative position and function of tank components during training of tankers.
Examples of vectors with contravariant components include the position of an object relative to an observer, or any derivative of position with respect to time, including velocity, acceleration, and jerk.
For instance, if the vector represents position with respect to an observer ( position vector ), then the coordinate system may be obtained from a system of rigid rods, or reference axes, along which the components v < sub > 1 </ sub >, v < sub > 2 </ sub >, and v < sub > 3 </ sub > are measured.
Although the relative separations between the stars change continuously over the measurement period, they are described by just five numerical parameters per star ( two components of position, two of proper motion, and the parallax ).
Some are temporary, as used to position components while fixing them together, others are intended to be permanent.
These clamps ( or cramps ) are used to position components temporarily for various tasks:
It was not intended to be flown into a target, but rather at a suitable altitude and position a signal would be transmitted causing the airframe components to detach from the torpedo which would then enter the water and continue towards its target.
The most basic optical tweezer setup will likely include the following components: a laser ( usually Nd: YAG ), a beam expander, some optics used to steer the beam location in the sample plane, a microscope objective and condenser to create the trap in the sample plane, a position detector ( e. g. quadrant photodiode ) to measure beam displacements and a microscope illumination source coupled to a CCD camera.

components and vector
Angular momentum in terms of scalar and vector components.
The physics of twisting can be explained by looking at the components of the angular momentum vector.
If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.
The resultant force vector from the lift and drag force components is opposed by the tension of the one or more lines or tethers.
For a boost in an arbitrary direction with velocity v, it is convenient to decompose the spatial vector r into components perpendicular and parallel to v:
) That is why S and T appear to have the " vector form " of 6 components.
Just like the components of a vector change when we change the basis of the vector space, the entries of a tensor also change under such a transformation.
The components of a vector can respond in two distinct ways to a change of basis ( see covariance and contravariance of vectors ), where the new basis vectors are expressed in terms of the old basis vectors as,
The components, v < sup > i </ sup >, of a regular ( or column ) vector, v, transform with the inverse of the matrix R,
While the components, w < sub > i </ sub >, of a covector or ( row vector ), w transform with the matrix R itself,
Whereas the other two components of Poynting vector ( here x-component only ), and their time averaged values are in general found to be finite.
When the coordinates are transformed, for example by rotation or stretching, then the components of the vector also transform.
The vector itself has not changed, but the reference frame has, so the components of the vector ( or measurements taken with respect to the reference frame ) must change to compensate.
The vector is called covariant or contravariant depending on how the transformation of the vector's components is related to the transformation of coordinates.
These numbers are the coordinates of the endpoint of the vector, with respect to a given Cartesian coordinate system, and are typically called the scalar components ( or scalar projections ) of the vector on the axes of the coordinate system.
where a < sub > 1 </ sub >, a < sub > 2 </ sub >, a < sub > 3 </ sub > are called the vector components ( or vector projections ) of a on the basis vectors or, equivalently, on the corresponding Cartesian axes x, y, and z ( see figure ), while a < sub > 1 </ sub >, a < sub > 2 </ sub >, a < sub > 3 </ sub > are the respective scalar components ( or scalar projections ).
In this case, the scalar and vector components are denoted a < sub > x </ sub >, a < sub > y </ sub >, a < sub > z </ sub >, and a < sub > x </ sub >, a < sub > y </ sub >, a < sub > z </ sub > ( note the difference in boldface ).
As explained above a vector is often described by a set of vector components that are mutually perpendicular and add up to form the given vector.

components and particle
The same rule applies if one were to address a particle by its constituent components.
Individual components of the 19S particle have their own regulatory roles.
Irradiation effects studies have many purposes, from studying structural changes to reactor components to studying nano-modification of metals using ion-beams or particle accelerators.
* Colloidal particle, part of a one-phase system of two or more components where the particles aren't individually visible.
The operator on the left represents the particle energy reduced by its rest energy, which is just the classical energy, so we recover Pauli's theory if we identify his 2-spinor with the top components of the Dirac spinor in the non-relativistic approximation.
The main ring of the Tevatron will probably be reused in future experiments, and its components may be transferred to other particle accelerators.
The mechanism by which Mte or other soil components enhances the transmissibility of particle bound prions remains to be clarified.
The B-format signals are based on a spherical harmonic decomposition of the soundfield and correspond to the sound pressure ( W ), and the three components of the pressure gradient ( X, Y, and Z ) ( not to be confused with the related particle velocity ) at a point in space.
A particle on the exact design trajectory ( or design orbit ) of the accelerator only experiences dipole field components, while particles with transverse position deviation are re-focused to the design orbit.
However, equipartition also gives the average values of individual components of the energy, such as the kinetic energy of a particular particle or the potential energy of a single spring.
and Nicholas Christofilos allowed the complete separation of the accelerator into components with specialized functions along the particle path, shaping the path into a round-cornered polygon.
However, after symmetry breaking, these three of the four degrees of freedom in the Higgs field mix with the three W and Z bosons (, and ), and are only observable as spin components of these weak bosons, which are now massive ; while the one remaining degree of freedom becomes the Higgs boson — a new scalar particle.
* particle accelerator components.
It would therefore appear desirable to process a material in such a way that it is physically uniform with regard to the distribution of components and porosity, rather than using particle size distributions which will maximize the green density.
For a massive particle, the components of the four-velocity satisfy the following equation:
Radiation hardening is making electronic components and systems resistant to damage or malfunctions caused by ionizing radiation ( particle radiation and high-energy electromagnetic radiation ), such as those encountered in outer space, high-altitude flight, around nuclear reactors, particle accelerators, during nuclear accidents or nuclear warfare.
* Particle accelerators produce high energy protons and electrons, and the secondary particles produced by their interactions product significant radiation damage on sensitive control and particle detector components, of the order of magnitude of 10 MRad / year for systems such as the Large Hadron Collider.
The time derivative of a position in a rotating reference frame has two components, one from the explicit time dependence due to motion of the particle itself, and another from the frame's own rotation.
It would therefore appear desirable to process a material in such a way that it is physically uniform with regard to the distribution of components and porosity, rather than using particle size distributions which will maximize the green density.
The operator on the left represents the particle energy reduced by its rest energy, which is just the classical energy, so we recover Pauli's theory if we identify his 2-spinor with the top components of the Dirac spinor in the non-relativistic approximation.
It would therefore appear desirable to process a material in such a way that it is physically uniform with regard to the distribution of components and porosity, rather than using particle size distributions which will maximize the green density.
Rather than having one fermion field, it can be split up into separate components for each type of particle.

0.560 seconds.