If the air mass is colder than the ground below it, it is labeled k. If the air mass is warmer than the ground below it, it is labeled w. While air mass identification was originally used in weather forecasting during the 1950s, climatologists began to establish synoptic climatologies based on this idea in 1973.

Like the " dimension of image " characterization this can be generalized to a definition of the rank of a linear map: the rank of a linear map f from V → W is the minimal dimension k of an intermediate space X such that f can be written as the composition of a map V → X and a map X → W. While this definition does not suggest an efficient manner to compute the rank ( for which it is better to use one of the alternative definitions ), it does allow to easily understand many of the properties of the rank, for instance that the rank of the transpose of A is the same as that of A.

While the LANS retirement program provides rehired UC employees with pensions similar to those UC would have given them, LANS no longer guarantees full pensions to newly hired LANL employees, it now provides basic 401 ( k ) retirement saving options.

While this equation suggests that the activation energy is dependent on temperature, in regimes in which the Arrhenius equation is valid this is cancelled by the temperature dependence of k. Thus, E < sub > a </ sub > can be evaluated from the reaction rate coefficient at any temperature ( within the validity of the Arrhenius equation ).

While Lobachevsky created a non-Euclidean geometry by negating the parallel postulate, Bolyai worked out a geometry where both the Euclidean and the hyperbolic geometry are possible depending on a parameter k. Bolyai ends his work by mentioning that it is not possible to decide through mathematical reasoning alone if the geometry of the physical universe is Euclidean or non-Euclidean ; this is a task for the physical sciences.

While Taoyateduta ( a. k. a. Little Crow ) led the Mendota in northern Dakota County, upstream to the southwest, Chief Black Dog established his village of 600 people around 1750 at the isthmus between Black Dog Lake ( from which is named after him ) and the Minnesota River, near the present site of the Black Dog Power Plant.

While the SI prefix is written with lowercase ( k ), the IEC prefix starts with an uppercase letter.

While this seems somewhat far-fetched, it does offer a reasonable explanation for the " k " in a word supposedly derived from French, especially as it was often spelled " Kanuck " during the 19th century.

While primarily based around the original songs of Chuck Cuminale, a. k. a. Colorblind James, the band also featured original songs by lead guitarist G. Elwyn Meixner.

While the Articles of War evolved during the first half of the twentieth century, being amended in 1916, 1920, and culminating with the substantial reforms in the 1948 version pursuant to the Selective Service Act of 1948 ( a / k / a the Elston Act ) ( Pub. L.

While being displayed in New Liverpool, the painting is stolen while a crowd is distracted by the murder of " Honest " Dick ( a. k. a. " Tricky " Dick ), the Steamer King, a nationally-known used car salesman.

While wrestling as " Manglin ' John Mahoney ", he befriended Ben Grimm, a. k. a. the Thing, who at the time was himself estranged from his " family ", the Fantastic Four.

While there is a meaningful notion of a C < sup > k </ sub > atlas, there is no distinct notion of a C < sup > k </ sub > manifold other than C < sup > 0 </ sub > ( continuous maps: a topological manifold ) and C < sup >∞</ sub > ( smooth maps: a smooth manifold ), because every C < sup > k </ sub >- structure with k > 0, there is a unique C < sup > k </ sub >- equivalent C < sup >∞</ sub >- structure ( every C < sup > k </ sup >- structure is uniquely smoothable ) – a result of Whitney ( and further, two C < sup > k </ sup > atlases that are equivalent to a single C < sup >∞</ sup > atlas are equivalent as C < sup > k </ sup > atlases, so two distinct C < sup > k </ sup > atlases do not collide ); see Differential structure: Existence and uniqueness theorems for details.

While at Illinois, Williams was re-united with high school teammates Marcus Griffin and Sergio McClain, ( a. k. a. " The Peoria 3 ") where they earned a number one seed and eventually went to the Elite 8 in 2001.

While resting, Peter is visited by Flint Marko a. k. a. Sandman.

While Adept Firesong k ' Treva, his lover, is perfectly at home in Haven, An ' desha feels left out and alien.

While the origin of state-owned automobiles may be obscured, subsequent developments concerning the assignment, use, and management of state automobiles can be related more clearly.

While 2-year-olds are still gaining most of the attention at the track, green horses are starting to go a bit, and Jimmy Cruise has several that can really make it.

While some suppression and some denial are not only necessary but healthy, the worker's clinical knowledge must determine how these defenses are being used, what healthy shifts in defensive adaptation are indicated, and when efforts at bringing about change can be most effectively timed.

While the phonemes can be very easily stated, no one is likely to be satisfied with the statement until phonemic occurrences can be related in some way to morphemic units, i.e. until the morphophonemics is worked out, or at least far enough that it seems reasonable to expect success.

While this influence is a complex matter, depending upon personality factors in the individual as well as upon his social-class experience, there probably are some general statements about social-class background and educational policy that can be made with a fair degree of truth.

While ideas about altruism from one field can have an impact on the other fields, the different methods and focuses of these fields always lead to different perspectives on altruism.

While the Ural – Altaic hypothesis can still be found in encyclopedias, atlases, and similar general references, it has not had any adherents in the linguistics community for decades.

While the engine installation crew works on the second car, the first car can be moved to the hood station and fitted with a hood, then to the wheels station and be fitted with wheels.

While down there, along with the dead, he is shown the place where the wrongly convicted reside, the fields of sorrow where those who committed suicide and now regret it reside, including Aeneas ' former lover, the warriors and shades, Tartarus ( where the titans and powerful non-mortal enemies of the Olympians reside ) where he can hear the groans of the imprisoned, the palace of Pluto, and the fields of Elysium where the descendants of the divine and bravest heroes reside.

While a character with Pattern, Logrus or Conjuration can acquire virtually any object, players can choose to spend character points to obtain objects with particular virtues-unbreakability, or a mind of their own.

While Renaissance artists sought nature to find their style, the Mannerists looked first for a style and found a manner. In Mannerist paintings, compositions can have no focal point, space can be ambiguous, figures can be characterized by an athletic bending and twisting with distortions, exaggerations, an elastic elongation of the limbs, bizarre posturing on one hand, graceful posturing on the other hand, and a rendering of the heads as uniformly small and oval.

While entrance to the Park is free, Gaudí's house, " la Torre Rosa ," — containing furniture that he designed — can be only visited for an entrance fee.

While anagramming is certainly a recreation first, there are ways in which anagrams are put to use, and these can be more serious, or at least not quite frivolous and formless.

While in the city, there are many buses and taxi services one can take to get from place to place, but most of the locals choose to walk to their destinations.

While a spontaneous or induced genetic mutation in bacteria may confer resistance to antimicrobial drugs, genes that confer resistance can be transferred between bacteria in a horizontal fashion by conjugation, transduction, or transformation.

Some scholars believe that the apologetic view of Luke ’ s work is overemphasized and that it should not be regarded as a “ major aim of the Lucan writings .” While Munck believes that purpose of Luke ’ s work is not that clear-cut and sympathizes with other claims, he believes that Luke ’ s work can function as an apology only in the sense that it “ presents a defense of Christianity and Paul ” and may serve to “ clarify the position of Christianity within Jewry and within the Roman Empire .” Pervo disagrees that Luke ’ s work is an apology and even that it could possibly be addressed to Rome because he believes that “ Luke and Acts speak to insiders, believers in Jesus .” Freedman believes that Luke is writing an apology but that his goal is “ not to defend the Christian movement as such but to defend God ’ s ways in history .”

While his views on legitimation are different from Esler, Pervo agrees that Luke ’ s work can be seen as one of legitimation.

While this discussion is limited to the xy-plane, it can easily be extended to higher dimensions.

While they can be a human safety hazard, it is productive for these ecosystems to burn out every once in a while so that new organisms can begin to grow and thrive.

While " distortion " can include arbitrary deformation of an image, the most pronounced modes of distortion produced by conventional imaging optics is " barrel distortion ", in which the center of the image is magnified more than the perimeter ( figure 7a ).

While there may still be many Faulknerian Lucas Beauchamps scattered through the rural South, such men appear to be a vanishing breed.

While the picture was taken, Mr. Miller's disposition to be generous to Mr. Sandburg increased to the point where he advised, ' I won't even charge you the one dollar rental fee ' ''.

While I fully agree with Sir Anthony's contention, I think that we must carry the analysis farther, bearing in mind that while common peril may be the measure of our need, the existence or absence of a positive sense of community must be the measure of our capacity.

While Councilman Olson cited the anticipated increase in school costs in answer to a direct question from a taxpayer, the impact upon a school system does not have to be measured only in increased taxes to find alarm in uncontrolled growth.

While it is easy enough to ridicule Hawkins' pronouncement in Pleas Of The Crown from a metaphysical point of view, the concept of the `` oneness '' of a married couple may reflect an abiding belief that the communion between husband and wife is such that their actions are not always to be regarded by the criminal law as if there were no marriage.

While the regulations formerly required that the hearing officer's report be placed in the registrant's file, this requirement was eliminated in 1952.

While there should be no general age limit or restriction to one sex, there will be particular projects requiring special maturity and some open only to men or to women.

While this may well be true in general, I believe it is also important to keep in mind that some recent developments suggest that over the next year or so military electronics may be one of the most strongly growing areas in an economy which is not expanding rapidly in other directions.

While expensive in time and involving a great deal of adaptation on the part of the worker ( in terms of his willingness to leave the sanctity of his office and enter actively into the client's life ), techniques of accompaniment were found to be of tremendous value when in the service of specific preventive objectives.

While other conditions might be even more effective in bringing about a change from immobility to mobility in Kohnstamm reactivity, it is our hypothesis that all such conditions would have as a common factor the capacity to induce an attitude in the subject which enabled him to divorce himself temporarily from feelings of responsibility for his behavior.

While there may be several such industries to which the model of this paper is applicable, the authors make particular claim of relevance to the explanation of the course of wages and prices in the steel industry of the United States since World War 2.

While we, as American artists, believe deeply in the universal character of all intellectual activity, we would be less than honest with you, or ourselves, if we failed to state a specific attitude toward our own society as well as the international community as a whole.

While ATP appears to be necessary for the occurrence of contraction, its presence and enzymatic hydrolysis of it by the muscle protein myosin are not the only criteria for contraction.

While there are still many bugs to be ironed out, the technique is fast developing.