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Because the length of the diagonal lines is related on the time how long segments of the phase space trajectory run parallel, i. e. on the divergence behaviour of the trajectories, it was sometimes stated that the reciprocal of the maximal length of the diagonal lines ( without LOI ) would be an estimator for the positive maximal Lyapunov exponent of the dynamical system.
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Because and length
Because the length of the lunar month is not an even fraction of the length of the tropical year, a purely lunar calendar quickly drifts against the seasons, which don't vary much near the equator.
Because of that the vehicle with the bridge on board is only 11. 6 m long, but the over all span length is 20 m. This is an increase of about 62 % over that of the older MTU-1.
Because cylinder bore diameter, piston stroke length and combustion chamber volume are almost always constant, the compression ratio for a given engine is almost always constant, until engine wear takes its toll.
Because these paired books had to fit a fixed total page length, one or both were usually abridged to fit, and Wollheim often made other editorial alterations — as witness the differences between Poul Anderson's Ace novel War of the Wing-Men and its definitive revised edition, The Man Who Counts.
Because of the roughly eleven-day difference between twelve lunar months and one solar year, the length of the Hebrew calendar year varies in the repeating 19-year Metonic cycle of 235 lunar months, with the intercalary month added according to defined rules every two or three years, for a total of 7 times per 19 years.
* Because < math > N < M </ math >, every file of length keeps its size during compression.
Because spin projections vary in increments of 1 ( that is 1 ħ ), a single quark has a spin vector of length, and has two spin projections ( S < sub > z </ sub > = + and S < sub > z </ sub > = −).
Because pole stiffness and length are important factors to a vaulter's performance, it is not uncommon for an elite vaulter to carry as many as 10 poles to a competition.
Because of a property of compression within the tube, the length must be a little shorter to correct flat pitch.
Because of its length the firangi is usually regarded as primarily a cavalry weapon.
Because of their length, short stories may or may not follow this pattern.
Because of the way addresses are handled, a version 3 story file can be up to 128K in length, a version 5 story can be up to 256K in length, and a version 8 story can be up to 512k in length.
Because of limitations of the transmitter the maximum useful data length was about 30 bits.
Because the check value has a fixed length, the function that generates it is occasionally used as a hash function.
:" Because highly fit schemata of low defining length and low order play such an important role in the action of genetic algorithms, we have already given them a special name: building blocks.
Because each frame of a T1 is 193 bits in length ( 24 channels × 8 bits per channel + 1 framing bit
Because a levee is only as strong as its weakest point, the height and standards of construction have to be consistent along its length.
Because of strict limits on the length of articles, often the printed text is actually a summary of the work in question with many details relegated to accompanying supplementary material on the journal's website.
Because of the unusual length of the play ( over three hours ), prior to the opening a matinee company was also hired that performed twice a week and featured Kate Reid as Martha, Shepperd Strudwick as George, Avra Petrides as Honey and Bill Berger as Nick.
Because of its length ( 75 to 105 cm ) the instrument was generally made with a double curve, having the finger-holes on the inside facet of the lower bend ; thus in playing position the bell points downwards to the front, not outwards to the side as in the treble.
Because of the reduction in the barrel length, the overall " reach " of the new short rifles with attached bayonet was reduced.
Because the actual bond stress varies along the length of a bar anchored in a zone of tension, current international codes of specifications use the concept of development length rather than bond stress.
Because and diagonal
Because of the poor reflectivity of the speculum mirrors of that day, Herschel eliminated the small diagonal mirror of a standard newtonian reflector from his design and tilted his primary mirror so he could view the formed image directly.
Because pawns capture diagonally and can be blocked from moving straight forward, opposing pawns often become locked in diagonal pawn chains of two or more pawns of each color, where each player controls squares of one color.
Because of the simple description of the matrix operation and eigenvalues / eigenvectors given above, it is always desirable to represent a given matrix or linear map by a diagonal matrix.
Because the eigenvalues of a triangular matrix are its diagonal elements, for general matrices there is no finite method like gaussian elimination to convert a matrix to triangular form while preserving eigenvalues.
Because the bishop is placed on a long diagonal ( either h1-a8 or a1-h8 ), it controls a lot of squares and can become a powerful offensive weapon.
Because a dipole moment is a polar vector, the diagonal elements of the perturbation matrix V < sub > int </ sub > vanish for systems with an inversion center ( such as atoms ).
Because the tetrahedron has three-way symmetry, the ratio relation also holds for diagonal pairs ( in both directions ), as well as for the horizontal pairs shown.
Because the boundary between Brooklyn and Queens that was historically set in 1769 at the Arbitration Rock lay along a diagonal with this grid plan, the geographic boundary was adapted to the street layout, resulting in a zig-zag pattern.
Because the model must be time reversible and must approach the equilibrium nucleotide ( base ) frequencies at long times, each rate below the diagonal equals the reciprocal rate above the diagonal multiplied by the equlibrium ratio of the two bases.
Because the vorticity tensor is antisymmetric, its diagonal components vanish, so it is automatically traceless ( and we can replace it with a three-dimensional vector, although we shall not do this ).
Because and lines
Because of its traditional lines, it probably has more kid appeal than any other model.
Because the British promised slaves of rebels freedom for fighting with them, escaped slaves flocked north to join their lines.
Because of poorly defined lines of responsibility, administrative conflicts often occur between local and national authorities of Goskompriroda and between Goskompriroda and a second national agency, the Hydrometeorological Administration ( Gidromet ), which is the main monitoring agency for air, water, and soil quality.
Because actual events are often co-opted by writers for incorporation into storylines for the performers, the lines are often blurred and become confused.
Because these two stations were built and exploited by two different railway companies in the 19th century, east-west lines terminate at Centraal Station, whereas north-south lines run through Hollands Spoor.
Because the chain wires are located on the outside of the laid wires, they have a greater influence on the impression in the pulp, hence their bolder appearance than the laid wire lines.
Because the pointer of the meter is usually a small distance above the scale of the meter, parallax error can occur when the operator attempts to read the scale line that " lines up " with the pointer.
Because of this, phone companies endeavor to remove load coils on copper loops that can operate without them, and conditioning lines to avoid them through the use of fiber to the neighborhood or node ( FTTN ).
Because all the phone ( and data ) lines have been clumped together, none of them can be accessed except through a demultiplexer.
Because the cable was the first fiber optic cable and not coaxial cable, the electrical interference shielding for the high voltage supply lines was removed.
Because of their fuel efficiency major motorhome manufacturer Thor Motor Coach made several Class C and Class A Motorhomes available on the Dodge Sprinter Chassis including their popular Four Winds Siesta & Chateau Citation product lines.
Because many forms of restraint upon commercial competition extended across state lines so as to make regulation by state action difficult or impossible, Congress enacted the Sherman Act, 21 Cong. Rec.
Because flooded disaster sites are unstable, clean-up workers might encounter sharp jagged debris, biological hazards in the flood water, exposed electrical lines, blood or other body fluids, and animal and human remains.
Because of the size of this region and the economic dominance exerted by the Hill lines, Hill became known during his lifetime as The Empire Builder.
Because it is secured on both sides, lines drawn along the edge are guaranteed to be parallel.
Because Shanghai was the most important Chinese city in western eyes, the troops had to fight and hold onto the city as long as possible, rather than moving toward the defense lines along nameless towns en route to Nanking.
Because of the mountainous terrain, the existing network consisted of narrow gauge lines, which generally took indirect routes and could not be adapted to higher speeds.
Because it is shaped roughly like a diamond or rhombus with its point matching the cardinal points of the compass, it's boundary lines are roughly oriented along the ordinal or intercardinal directions.
Because of the high cost of converting existing rail-based lines, this is no longer done in Paris, nor elsewhere ; now rubber-tyred metros are used in new systems or lines only, including the new Paris Métro Line 14.
Because State of California law prohibits the incorporation or annexation of cities over county lines, the City was unable to adjoin what was considered the town of Calimesa when it finally incorporated.
Because of its central location, Harrisburg became the home base for stagecoach and mail carrier lines in the county, and the county government moved its operations from Ashford in mid-1891.
Because the phone lines ( as well the electricity ) were out, the town's residents were unable to call neighbors, family, or friends to verify that their fears were legitimate.
Because it uses advanced propulsion technology and standard track gauge ( unlike the rest of Toronto's system ), it can not interchange with Toronto's subway or streetcar lines.
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