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 weak gravitational fields and slow speed relative to the speed of light, the theory's predictions converge on those of Newton's law of universal gravitation.

For one-dimensional simple harmonic motion, the equation of motion, which is a second-order linear ordinary differential equation with constant coefficients, could be obtained by means of Newton's second law and Hooke's law.

For example, to test Newton's Law of Gravitation in our solar system, one needs information about the masses and positions of the Sun and all the planets.

For radial distances from the center which are much greater than the Schwarzschild radius, the accelerations predicted by the Schwarzschild solution are practically identical to those predicted by Newton's theory of gravity.

For example, there is no limit where Newton's mechanics reduces to Aristotle's mechanics because Aristotle's mechanics, although academically viable for 18 centuries, do not have any domain of validity.

For two-dimensional rotational motion, Newton's second law can be adapted to describe the relation between torque and angular acceleration:

In fact, any " inverse-square law " can be formulated in a way similar to Gauss's law: For example, Gauss's law itself is essentially equivalent to the inverse-square Coulomb's law, and Gauss's law for gravity is essentially equivalent to the inverse-square Newton's law of gravity.

) For a near-orthogonal matrix, rapid convergence to the orthogonal factor can be achieved by a " Newton's method " approach due to ( 1990 ), repeatedly averaging the matrix with its inverse transpose.

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 larger matrices, the expressions for the coefficients c < sub > k </ sub > of the characteristic polynomial in terms of the matrix components become increasingly complicated ; but they can also be expressed in terms of traces of powers of the matrix A, using Newton's identities ( at least when the ring contains the rational numbers ), thus resulting in more compact expressions ( but which involve divisions by certain integers ).

For a system of N particles with coordinates and velocities, the following pair of first order differential equations may be written in Newton's notation as

This is due to Newton's third law of motion ( For every action, there is an equal and opposite reaction ).

For a particle of constant invariant mass m > 0, where is the four-velocity, so we can relate the four-force with the four-acceleration as in Newton's second law:

For example, Newton's second law

Oldenburg must have replied to this by an offer to apply to the Society to excuse Newton the weekly payments, as in a letter of Newton's to Oldenburg, dated 23 June 1673, he says, " For your proffer about my quarterly payments, I thank you, but I would not have you trouble yourself to get them excused, if you have not done it already.

For example, USA Today, commented on the length of discussion of Newton's interest in the nature of gravity.

For instance the Newton's identity for the third power sum polynomial leads to

( For evidence, the rest of this chapter discusses the fascinating science and beautiful new mysteries which followed in the wake of Newton's " unweaving " of the rainbow, q. e.

For the last half of Newton's adult life, 30 years, he was warden of the Royal Mint as well as Master of the Mint.

For instance, if we assume that evaluating takes as much time as evaluating its derivative and we neglect all other costs, we can do two steps of the secant method ( decreasing the logarithm of the error by a factor α² ≈ 2. 6 ) for the same cost as one step of Newton's method ( decreasing the logarithm of the error by a factor 2 ), so the secant method is faster.

For example, his initial proposal would have combined Newton's two main House districts and would have forced incumbent Representatives Kay Khan and Ruth Balser to run against each other.

For completeness, the inertial acceleration due to impressed external forces can be determined from the total physical force in the inertial ( non-rotating ) frame ( for example, force from physical interactions such as electromagnetic forces ) using Newton's second law in the inertial frame:

For many years, the story of Newton's death was intertwined with that of Australian commando Sergeant Len Siffleet, who had also been captured in New Guinea.

For example, Dirac proposed a change of only 5 parts in 10 < sup > 11 </ sup > per year of Newton's constant G to explain the relative weakness of the gravitational force compared to other fundamental forces.