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For example, the notion of gauge invariance forms the basis of the well-known Mattis spin glasses, which are systems with the usual spin degrees of freedom for i = 1 ,..., N, with the special fixed " random " couplings Here the ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take the values ± 1, which corresponds to a most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities, e. g. of the energy are invariant.
Some Related Sentences
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 notion
For if the small group notion involves the implicit claim that the phenomena of sociological investigations are of atomic or subatomic proportions, the philosopher needs to know the extent to which such entities are valid.
For example, it has been suggested that, in the early 20th century Shanghai, “ Western food, and in particular identifiably nourishing items like milk, became a symbol of a neo-traditional Chinese notion of family .”
For a set of points on the same line there is no Delaunay triangulation ( the notion of triangulation is degenerate for this case ).
For example, if we form a complete notion of Moses, and superadd to that notion the claim that Moses existed, we are not adding anything to the notion of Moses.
For example, the review falsely accuses Husserl of subjectivizing everything, so that no objectivity is possible, and falsely attributes to him a notion of abstraction whereby objects disappear until we are left with numbers as mere ghosts.
For householders, non-possession is owning without attachment, because the notion of possession is illusory.
For example, switching back to our correct notion of substitution, in the lambda abstraction can be renamed with a fresh variable, to obtain, and the meaning of the function is preserved by substitution.
For example, the Racket language extends the notion of a macro system to a syntactic tower, where macros can be written in languages including macros, using hygiene to ensure that syntactic layers are distinct and allowing modules to export macros to other modules.
For example, in a letter to the rector of Freiburg University of November 4, 1945, Heidegger, inspired by Jünger, tries to explain the notion of “ God is dead ” as the “ reality of the Will to Power .” Heidegger also praises Jünger for defending Nietzsche against a too biological or anthropological reading during the Third Reich.
For polynomials in more than one variable the notion of root does not exist, and there are usually infinitely many combinations of values for the variables for which the polynomial function takes the value zero.
For example: an apparition of John Wayne is a recurring character and serves as a sort of spiritual guide or conscience for Custer ; Monument Valley and The Alamo serve as backdrops to various legs of the journey ; for a time, Jesse acts as the sheriff of a small town in Texas, and must protect the inhabitants from harm ; the image of the Saint of Killers, a reformed bounty hunter-turned-killer-once-more in the tradition of Clint Eastwood's Unforgiven character, William Munny, is a nod to the classic Western notion of nemesis, straight and true and terrible.
For example the axiom of choice implies that when the size under consideration is the ordinary notion of length for subsets of the real line, then there exist sets for which no size exists, for example, the Vitali sets.
For given test functions, the relevant notion of convergence only corresponds to the topology used in C.
For example, in 2011 Mark Wrathall argued that Heidegger pursued and refined the central notion of unconcealment throughout his life as a philosopher.
For intuitionists, infinity is described as potential ; terms synonymous with this notion are becoming or constructive.
For example, Stephen Kleene describes the notion of a Turing machine tape as " a linear tape, ( potentially ) infinite in both directions.
For Perutz, Kuhn's notion that science advances in paradigm shifts that are subject to social and cultural pressures is an unfair representation of modern science.
For example, if one would like an unambiguous notion of differentiation of functions on a manifold, then it is necessary to construct an atlas whose transition functions are differentiable.
For functions on the real line, the Henstock integral is an even more general notion of integral ( based on Riemann's theory rather than Lebesgue's ) that subsumes both Lebesgue integration and improper Riemann integration.
For Plato, Eros takes an almost transcendent manifestation when the subject seeks to go beyond itself and form a communion with the objectival other: " the true order of going ... to the things of love, is to use the beauties of earth as steps ... to all fair forms, and from fair forms to fair actions, and from fair actions to fair notions, until from fair notions he arrives at the notion of absolute beauty ".
For the same reason the notion of " Aztec civilization " is best understood as a particular horizon of a general Mesoamerican civilization.