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However and dimensions
However, the term is applied to multidimensional data as well as to univariate data and in situations where a transformation of the data values for some or all dimensions would usually be considered necessary: in the latter cases, the notion of a " central location " is retained in converting an " average " computed for the transformed data back to the original units.
( However, rotations are more subtle in high dimensions, and visualizing high-dimensional spaces remains difficult, even for experienced mathematicians.
However, the small dimensions limit the inductance, and it is far more common to use a circuit called a " gyrator " that uses a capacitor and active components to behave similarly to an inductor.
However, this theory needs to be generalized in ( 2 + 1 ) or ( 3 + 1 ) dimensions although, in principle, the field equations are amenable to such generalization as shown with the inclusion of a one-graviton process and yielding the correct Newtonian limit in d dimensions if a dilaton is included.
However, it is not yet clear what the full field equation will govern the dilaton in higher dimensions.
However, some semioticians focus on the logical dimensions of the science.
However, present observations cannot exclude the possibilities that the universe has more dimensions and that its spacetime may have a multiply connected global topology, in analogy with the cylindrical or toroidal topologies of two-dimensional spaces.
However, in the pure Gauss – Bonnet gravity ( a modification to general relativity involving extra spatial dimensions which is sometimes studied in the context of brane cosmology ) exotic matter is not needed in order for wormholes to exist — they can exist even with no matter.
However, these dimensions have fundamental significance in terms of Planck units ; when expressed in SI units, the gravitational constant is dimensionally and numerically equal to the cube of the Planck length divided by the product of the Planck mass and the square of Planck time.
However, the dimensions of the perforations are smaller than those on older 8 mm film, which allowed the exposed area to be made larger.
However, the film loaded in a Single-8 cartridge has exactly the same dimensions as Super 8 ( though it is made of a thinner & stronger polyester base, rather than the acetate base of Super 8 film ), and can be viewed in any Super 8 projector after processing.
However, Schluter didn't just copy the Leedy design, he introduced several significant improvements: making the bars from aluminum instead of steel for a more " mellow " basic tone ; adjustments to the dimensions and tuning of the bars to eliminate the dissonant harmonics in the Leedy design ( further mellowing the tone ); and the introduction of a damper bar controlled by a foot pedal, enabling it to be played with more expression.
However, especially for complex analytic functions, new and interesting phenomena show up when working in 2 or more dimensions.
However, as long as the length of the gap is smaller than the cross section dimensions of the core, the field in the gap will be approximately the same as in the core.
However, Tufnel, rushing a sketch on a napkin, mislabels its dimensions, using a double prime symbol instead of single prime.
: However, the alternative paths in Jewish spirituality, emphasize different dimensions of this.
However, Amaryll Beatrice Chanady distinguishes magical realist literature from fantasy literature (" the fantastic ") based on differences between three shared dimensions: the use of antinomy ( the simultaneous presence of two conflicting codes ), the inclusion of events that cannot be integrated into a logical framework, and the use of authorial reticence.
However, it generalizes to any number of dimensions.
However, others criticized the lack of interior room and reduced sight lines despite its full-sized exterior, and Edmunds noted that the eighth-generation Honda Accord ( which competes in the midsize category ) had superior driving dynamics and a more efficient design and offered almost as much interior space as the Taurus despite considerably smaller external dimensions.
However, as the typical linear dimensions are not significantly larger than the mean free path, such an approximation is only marginally applicable.
However, one important caveat is that human perceptions are always going to be less predictable and less measurable than physical dimensions.
This inline engine configuration is the most common in cars with a displacement up to 2. 4 L. The usual " practical " limit of the displacement of inline-four engines in a car is around 2. 7 L. However, Porsche used a 3. 0 L four in its 944 S2 and 968 sports cars, the International Harvester Scout was available with a 3. 2 L inline four from 1965 until 1980 and Rolls-Royce produced several inline-four engines of 2, 838 cc with basic cylinder dimensions of diameter and stroke ( Rolls-Royce B40 ).
However, after dividing by the characteristic impedance Z ( in ohms ) of the transmission line, the dimensions of would become volt < sup > 2 </ sup >× seconds < sup > 2 </ sup > per ohm, which is equivalent to joules per hertz, the SI unit for spectral energy density as defined in the physical sciences.
However, large males of this species are more heavily built and muscled than the lankier Red Kangaroo and can occasionally exceed normal dimensions.

However and Laue
However, as shown by Max von Laue ( 1911 ),
However, interference effects between the diffracted electrons still yield strong intensities at single points on each Laue circle.
However, as explained above, two years earlier Max von Laue already predicted this effect on the basis of special relativity, so this effect is consistent with special relativity as well.
However, Max von Laue quickly rebutted those claims by saying that the inertia of electromagnetic energy was long known before Hasenöhrl, especially by the works of Henri Poincaré ( 1900 ) and Max Abraham ( 1902 ), while Hasenöhrl only used their results for his calculation on cavity radiation.

However and zones
However, in 1948, when the Western Allies extended the currency reform in the Western zones of Germany to the three western sectors of Berlin, the Soviet Union imposed a blockade on the access routes to and from West Berlin, which lay entirely inside Soviet-controlled territory.
However, the archipelago can be divided into four broad ecological zones ( arid, semiarid, subhumid and humid ), according to altitude and average annual rainfall ranging from 200 mm in the arid areas of the coast to more than 1 000 mm in the humid mountain.
However, the scandals of Reagan's Secretary of Housing and Urban Development Samuel Pierce and the neglect of the president were obstacles from the start, and Kemp was unsuccessful at either of his major initiatives: enacting enterprise zones and promoting public housing tenant ownership.
However, although he could not get federal funding for empowerment zones passed during his tenure, by 1992 38 states had created empowerment zones, and in 1994 $ 3. 5 billion was approved for them under President Clinton.
However, in 2003, Syria unilaterally declared its maritime zones, adhering to the 12 nautical miles allowed by the United Nations Law of the Sea.
However for the majority of the UAE ( Non free zones ), Etisalat has a monopoly on business and personal telecommunications services.
However, on the West Coast ( and all of the Mountain time zone ), because the actual end of the live games is much earlier in the afternoon in comparison to the Eastern and Central time zones, 60 Minutes is always able to start at its normal start time of 7 pm Pacific Time ( 6 pm Mountain Time ), leaving affiliates free to broadcast local news, the CBS Evening News, and other local or syndicated programming leading up to 60 Minutes.
However, some obstruction of the Fresnel zones can often be tolerated, as a rule of thumb the maximum obstruction allowable is 40 %, but the recommended obstruction is 20 % or less.
However, flames may be maintained with any type of forced convection ( breeze ); or ( in high oxygen environments in " still " gas environments ) entirely from the minimal forced convection that occurs as heat-induced expansion ( not buoyancy ) of gases allows for ventilation of the flame, as waste gases move outward and cool, and fresh high-oxygen gas moves in to take up the low pressure zones created when flame-exhaust water condenses.
However, compared to leaders of face-to-face teams, virtual team leaders face the following difficulties: ( a ) logistical problems, including coordinating work across different time zones and physical distances ; ( b ) interpersonal issues, including an ability to establish effective working relationships in the absence of frequent face-to-face communication ; and ( c ) technological difficulties, including appropriate technology and ease-of-use.
However, a typical temperate climate is one of the four climate zones in the world, beside polar regions ( subarctic climate, arctic climate, tundra climate, ice cap climate ) and the subtropics, tropics.
However, a Venn diagram for n component sets must contain all 2 < sup > n </ sup > hypothetically possible zones that correspond to some combination of inclusion or exclusion in each of the component sets.
However, a typical temperate climate is one of the four climate zones in the world, beside polar regions ( subarctic climate, arctic climate, tundra climate, ice cap climate ) and the subtropics, tropics.
However, there are safe zones above sandstone beds, most notably the Connelsville Sandstone that outcrops high on the hillsides.
However, the view that they are self-appointed custodians of time developed in the spin-off media, but carried over into the television series ; in The War Games the Time Lords return time-displaced humans abducted by the War Lord to their proper time zones on Earth.
However, the territory never received its planned self-government and it was maintained under military occupation respecting the division into two zones as decided by the Morgan Line: Zone A, which was 222. 5 km² and had 262, 406 residents including Trieste, was administered by British and American forces, while Zone B, which was 515. 5 km² with 71, 000 residents including north-western Istria, was administered by the Yugoslav National Army.
However, Patpong is the only one within the official entertainment zones decreed by the Thai government in 2004, which allow venues to legally stay open until 2am, instead of the 1am legal closing time in other areas.
However, in subduction zones, earthquakes occur at depths as great as 700 km.
However this is typically inefficient for zones containing large numbers of addresses, particularly DNSBLs which list entire Classless Inter-Domain Routing netblocks.
However, in occupied Germany, until 1952, the lines between East Germany and the western occupied zones remained easily crossed in most places.
However, the government issues of paper money were not yet nationwide standards of currency at that point ; issues of banknotes were limited to regional zones of the empire, and were valid for use only in a designated and temporary limit of 3-years ' time.
However, the distribution between the three zones may vary each year, according to the number of nations promoted or relegated between Group One and the World Group.
However, the rapid development of free trade zones across the region dates from the late 1960s and the early 1970s.
However, rates of past hybridization are unknown in this and most other avian hybrid zones, and it is merely presumed in the case of the American Black Duck that past rates were lower than those seen today.

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