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For example, knot genus is particularly tricky to compute, but can be effective ( for instance, in distinguishing mutants ).
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For and example
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, 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, 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 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 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 and knot
For example once one gets to 3-dimensional surfaces, one has to deal with solid objects with knot-shaped holes, and then one needs the whole of knot theory just to classify them.
For example, in knot theory, a prime knot is a knot that is indecomposable in the sense that it cannot be written as the knot sum of two nontrivial knots.
For example, a strip with three half-twists, when divided lengthwise, becomes a strip tied in a trefoil knot.
For example, he was able to show that all but ten Dehn surgeries on the figure-eight knot resulted in non-Haken, non-Seifert-fibered irreducible 3-manifolds ; these were the first such examples.
For example, the British Army generally adopted a white leather strap with a large acorn knot made out of gold wire for infantry officers at the end of the 19th century ; such acorn forms of tassels were said to be ' boxed ', which was the way of securing the fringe of the tassel along its bottom line such that the strands could not separate and become entangled or lost.
For example, if 4s represents four simple knots, 3L represents a long knot with three turns, E represents a figure-of-eight knot and X represents a space:
For several years, he has argued that the " them versus us " problem is fundamentally flawed, and, in R. D. Laing ’ s term, a “ knot ” that will destroy people if they do not extricate themselves from it.
For some knot polynomials, such as the Conway, Alexander, and Jones polynomials, the relevant skein relations are sufficient to calculate the polynomial recursively.
For example, Primal Quest 2004 required that each team member swim 50 meters in three minutes ; tread water for five minutes in 50 degree water ; perform a Double T Rescue in less than 5 minutes ; pass a single boat rescue ; and ascend a vertical 8-10 meter cliff with three knot transfers in 10 minutes.
For daily purposes, a simple " double twist " knot is most popular, where two points in the upper edge of lungi are brought together and twisted around twice, with the ends tucked in at the waist.
For the recreational tree climber or working arborist, the Munter is useful to know as a reliable lowering knot for moderate loads.
For a topologically slice knot, the Alexander polynomial satisfies the Fox – Milnor condition where is some other integral Laurent polynomial.
For example, under certain assumptions, there is a way of modifying a smooth 4-manifold by performing a surgery that consists of removing a neighborhood of a two-dimensional torus and replacing it with a knot complement crossed with S < sup > 1 </ sup >.
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