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Thus the basic spatial structure of the Southwest can be seen as focused on the largest metropolitan areas in each state such as Phoenix, Albuquerque, Denver, Salt Lake City, Las Vegas, and El Paso.
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Thus and basic
Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.
Thus, for non-negative changes in the basic wage rate, the industry becomes the active wage-setter, since any increase in the basic wage rate can occur only by reason of industry acquiescence.
Thus, there are 35 possible basic contracts ( five at each of the seven levels ); 1 being the lowest, followed by 1 etc., up to 7NT, the highest possible bid.
Thus sodium carbonate is basic, sodium bicarbonate is weakly basic, while carbon dioxide itself is a weak acid.
Thus any individual who goes into a mountainous environment should have basic knowledge of knots and knot systems to increase safety and the ability to do interesting activities such as rappelling.
Thus, the principal contradiction should be tackled with priority when trying to make the basic contradiction " solidify ".
Thus, basic elements of the Leningrad school – namely, a higher art education establishment of a new type and a unified professional union of Leningrad artists, were created by the end of 1932.
Thus Tychonoff's theorem joins several other basic theorems ( e. g. that every nonzero vector space has a basis ) in being equivalent to AC.
Thus an eye care professional, having determined that a myopic ( nearsighted ) person requires a basic correction of, say, − 2 dioptres to restore normal distance vision, might then make a further prescription of ' add 1 ' for reading, to make up for lack of accommodation ( ability to alter focus ).
Thus ' one could as easily speak of the " collective arm "-meaning the basic pattern of bones and muscles which all human arms share in common '.
Thus, for developing the basic theory of semiconductors there is little merit in introducing an absolute energy reference zero.
Thus it can be argued that the most basic and general definition of price is that expressed in money, and that the exchange ratio between two goods is simply derived from the two individual prices.
Thus, Sona sacrificed familiarity of grammar and lexicon for some measure of " universality ", while at the same time preserving basic notions common to grammars around the world such as compounding as a method of word formation.
Thus, in the basic case where two sine waves of frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub > ( f < sub > 1 </ sub > < f < sub > 2 </ sub >) are multiplied, two new sine waves are created, with one at f < sub > 1 </ sub > + f < sub > 2 </ sub > and the other at f < sub > 2 </ sub >-f < sub > 1 </ sub >.
Thus, the basic method of navigation using Guide was the expansion button, in which a section was replaced when selected and in which an expansion would provide additional levels of detail.
Thus, by 1928 basic physical understanding of the origin of CFE from bulk metals had been achieved, and the original Fowler-Nordheim-type equation had been derived.
The good that is common between person A and person B may not be the same as between person A and person C. Thus the common good can often change, although there are some things — such as the basic requirements for staying alive: food, water, and shelter — that are always good for all people.
Thus and spatial
Thus, given a linear filter evaluated through, for example, reverse correlation, one can rearrange the two spatial dimensions into one dimension, thus yielding a two dimensional filter ( space, time ) which can be decomposed through SVD.
Thus, in quantitative or spatial terms, God is simple as opposed to being made up of pieces, present in entirety everywhere, if in fact present anywhere.
Thus, unique combinations of pair-rule gene expression create spatial domains along the anterior-posterior axis to set up each of the 14 individual segments.
Thus, corrections for curvature of the earth exist at two separate spatial scales — a smaller scale within townships, and a larger scale between multiple townships and within standard parallels.
Thus quaternions are a preferred method for representing spatial rotations – see quaternions and spatial rotation.
Thus, Flamm's paraboloid is useful for visualizing the spatial curvature of the Schwarzschild metric.
Thus, the positions of the end-effector of a robot can be identified with the group of spatial rigid transformations, often denoted SE ( 3 ).
Thus the optotype can only be recognized if the person viewing it can discriminate a spatial pattern separated by a visual angle of 1 minute of arc.
Thus, two spatial features are prominent in navigating a path: general layout and landmark orienting ( Kahana et al., 2006 ).
Thus, the evidence for the spatial memory of some species of animals, such as rats, indicates that they do use spatial memory to locate and retrieve hidden food stores.
Thus the spatial location of each single flash of fluorescence is reflected as a pattern of voltages within the interconnecting circuit array.
Thus ACS can study objects outside the field of view of the other instruments, with surprising spatial and energy resolution.
Thus it makes sense to state the precise spectral distribution and spatial, especially altitudinal, distribution of locations of absorption of non-window radiation in the atmosphere.
Thus, conservation of this species requires a landscape ( multiple habitats at appropriate spatial scales ) perspective.
Thus, in order to establish the convergence of the finite-difference approximation, it is necessary to use other methods, which in turn could imply further limitations on the length of the time step and / or the lengths of the spatial intervals.
Thus, the proairetic code pictures the text as a location with spatial and temporal dimensions through which the reader moves.
4.457 seconds.