For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??

For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;

For example, No. 56 printed the patent giving the Electoral Prince the title of Duke of Cambridge.

For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.

For example, even the most successful executive lives in a two-room apartment while ordinary people rent space in the stairwells of office buildings in which to sleep at night ; ;

For example, in the third chapter of Matthew, verses 13-16, describing the baptism of Jesus, the 1611 version reads:

For example: 1.

For example, it probably will be necessary for the Corps to have authority to pay medical expenses of volunteers.

For example, the importance of the Regulus 2, a very promising aerodynamic ship-to-surface missile designed to be launched by surfaced submarines, was greatly diminished by the successful acceleration of the much more advanced Polaris ballistic missile launched by submerged submarines.

For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.

For example, out of the social evils of the English industrial revolution came the novels of Charles Dickens ; ;

For example, a 12-to-one engine would power a supersonic VTOL fighter.

For example: Af.

For example: Af.

For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.

For example: Af.

For example, let's consider a standard 283 cubic inch Chevy Aj.

For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.

For example, a Browning trap version of the Superposed over/under, the Broadway ( from $350 up, depending on grade ), differs from standard models in that it is equipped with a full beavertail fore end, a cushion recoil pad and a barrel-wide ventilated rib for fast sighting.

For example, the Chamber of Commerce of Gatlinburg, Tennessee, sponsors special camera tours into the Great Smoky Mountains to get pictures of the profusion of wild flowers flourishing in these wooded regions.

For example, the Friday after Thanksgiving can be substituted for Washington's birthday.

For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.

For example, don't pay in a truck policy for medical coverage that you may be paying for in a health and accident policy.

For example: If your bodily injury claims start payment after the first $250, a 25% premium saving is often made.

For the QED interaction Lagrangian,, describing the interaction of a fermionic field with a bosonic gauge field, the Feynman rules can be formulated in coordinate space as follows:

For example, if one begins with the Lagrangian density

For example, he developed a theory of canonical transformations which allowed changing coordinates so that some coordinates disappeared from the Lagrangian, as above, resulting in conserved canonical momenta.

For illustration, consider a Lagrangian that does not depend on time, i. e., that is invariant ( symmetric ) under changes t → t + δt, without any change in the coordinates q.

For concreteness, assume that the Lagrangian does not change under small rotations of an angle δθ about an axis n ; such a rotation transforms the Cartesian coordinates by the equation

For example, if the Lagrangian expression is

For this reason, one must either modify the formulation to ensure that it's a minimization problem ( for example, by extremizing the square of the gradient of the Lagrangian as below ), or else use an optimization technique that finds stationary points ( such as Newton's method without an extremum seeking line search ) and not necessarily extrema.

For an infinitesimal deformation the displacements and the displacement gradients are small compared to unity, i. e., and, allowing for the geometric linearisation of the Lagrangian finite strain tensor, and the Eulerian finite strain tensor, i. e. the non-linear or second-order terms of the finite strain tensor can be neglected.

For infinitesimal deformations of a continuum body, in which the displacements and the displacement gradients are small compared to unity, i. e., and, it is possible to perform a geometric linearisation of the Lagrangian finite strain tensor, and the Eulerian finite strain tensor.

For a detailed derivation of these equations from Lagrangian mechanics, see below.

For example, if the Lagrangian L does not depend on q < sub > i </ sub > itself, then the generalized momentum:

For example, Morse showed that the number of conjugate points in a trajectory equalled the number of negative eigenvalues in the second variation of the Lagrangian.

For example, in the Lagrangian of QED

For comparison, in the equivalent Euler – Lagrange equations of motion of Lagrangian mechanics, the conjugate momenta also do not appear ; however, those equations are a system of N, generally second-order equations for the time evolution of the generalized coordinates.

For comparison, the Lagrangian defining general relativity is

For spacecraft in a halo orbit around a Lagrangian point stationkeeping is even more fundamental as such an orbit is unstable ; without an active control with thruster burns the smallest deviation in position / velocity would result in the spacecraft leaving the orbit completely.

For example, we can write a Lagrangian for a relativistic particle, which will be valid even if the particle is traveling close to the speed of light.

For any parameter invariant Lagrangian ( or Lagrangian density ) where each of the coordinate parameters are on an equal footing, the following holds true:

For a complex scalar field the Lagrangian is,

For example renormalization in QED modifies the mass of the free field electron to match that of a physical electron ( with an electromagnetic field ), and will in doing so add a term to the free field Lagrangian which must be cancelled by a counterterm in the interaction Lagrangian, that then shows up as a two-line vertex in the Feynman diagrams.

For an SU ( 2 ) theory the leading order chiral Lagrangian is given by

For example, if one wishes to compute an observable to, then one must compute the contact terms that come from the Lagrangian ( this is different for an SU ( 2 ) vs. SU ( 3 ) theory ) at tree-level and the one-loop contributions from the Lagrangian.