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These and n
These coefficients for varying n and b can be arranged to form Pascal's triangle.
These are usually written, and pronounced “ n choose k ”.
where b and c are scalars, v is any vector of size n and I is the identity matrix of size n. These properties state that the determinant is an alternating multilinear function of the columns, and they suffice to uniquely calculate the determinant of any square matrix.
These brute-force algorithms are computationally manageable for n = 8, but would be intractable for problems of n ≥ 20, as 20!
These facets are themselves polytopes, whose facets are ( n − 2 )- dimensional ridges of the original polytope.
These solutions yield good rational approximations of the form x / y to the square root of n. In Cartesian coordinates, the equation has the form of a hyperbola ; it can be seen that solutions occur where the curve has integral ( x, y ) coordinates.
These Saharan mountains are home to two distinct ecoregions ; the West Saharan montane xeric woodlands in the Ahaggar, Tassili n ' Ajjer, Aïr, and other ranges in the western and central Sahara, and the Tibesti-Jebel Uweinat montane xeric woodlands in the Tibesti and Jebel Uweinat of the eastern Sahara.
These could be modified to introduce the new variable n such that no new time-series would have to be generated, but rather the original time series could be reused for various values of n. The estimators becomes
These estimators have a significant drawback in that they will drop a significant amount of sample data as only 1 / n of the available samples is being used.
These so-called third order distortion products ( third order as m + n = 3 ) tend to dominante the non-linear distortion of narrowband systems.
These regions are, respectively, p type, n type and p type in a PNP transistor, and n type, p type and n type in an NPN transistor.
These are two forms of the lower-case Greek letter phi φ ( n ) is from Gauss ' 1801 treatise Disquisitiones Arithmeticae.
These possibilities ranged from something resembling rhythm and blues — you could just about play Der Mussolini as R ' n ' B if you wanted — to the microtonality of Im Dschungel der Liebe ( In the Jungle of Love ) ( on Für immer ) or Knochen auf Knochen ( the B-side of the single Sex unter Wasser ).
These singles were followed by the Ed Buller-produced album, His ' n ' Hers ( 1994 ), which reached number nine on the UK Albums Chart and was nominated for the Mercury Music Prize.
These solutions for n = 0, 1, 2, ... ( with the normalization P < sub > n </ sub >( 1 ) = 1 ) form a polynomial sequence of orthogonal polynomials called the Legendre polynomials.
These events include the Classical Concert Series, Jazz ' n the Hall, and Seton Hall Theatre — student theater productions.
These include the Kendall Art Gallery, Ruiz Studio, Black Swan Gallery, The Glass Prism, Bonnie Beesley Rug Gallery and the Wool ' n Cotton Shop, as well as other public art venues.
These are often referred to as " mate in n ", where n is the number of moves within which mate must be delivered.

These and bits
These sets were expanded in 1963 to 7 bits of coding, called the American Standard Code for Information Interchange ( ASCII ) as the Federal Information Processing Standard which replaced the incompatible teleprinter codes in use by different branches of the U. S. government.
These bytes might include start bits, stop bits, or parity bits, and thus could vary from 7 to 12 bits to contain a single 7-bit ASCII code.
These are typically made up of a few gags or several bits.
These are also called reprises or run-ins by many and in today's circus they are an art form in themselves, originally they were bits of " business " usually parodying the act that had preceded it.
These bits were sold under the counter to an assayer.
These were either 17 bits ( one word ) or 35 bits ( two words ) long.
These colours are selected from a palette of 4096 colours ( 4 bits per RGB component ).
These are typically interpreted as integer values ( counts ) by the PLC, with various ranges of accuracy depending on the device and the number of bits available to store the data.
These two classical bits do not carry complete information about the qubit being teleported.
These bits were later re-defined as DiffServ Code Points ( DSCP ) and are sometimes honored in peered links on the modern Internet.
These shows often rely less on political discussion and analysis than their AM counterparts, and often employ the use of pranks and " bits " for entertainment purposes.
These bits are set to all ones by any MMX instruction, which correspond to the floating point representation of NaNs or infinities.
These bits report congestion:
These groups, commonly called CIDR blocks, share an initial sequence of bits in the binary representation of their IP addresses.
These techniques are acceptable when the underlying bits are reliable enough that such errors are highly unlikely.
These encodings are now achieved by using a higher-resolution linear ADC ( e. g. 12 or 16 bits ) and mapping its output to the 8-bit coded values.
These sub-components are typically 16 -, 32-or 64-bit words, 8-bit bytes, or even bits.
These bits are set at compile time, thus relieving the hardware from calculating this dependency information.
These systems used the EIAJ digital format, which sampled at 44. 056 kHz at 14 bits.
These 2 bits could create 4 possible instructions, which included store, add, and conditional branch instructions as a basic set.

These and are
These are just another couple of characters to roll.
These men are not callous.
These things are important to almost all Persians and perhaps most important to the most ordinary.
These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.
These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.
These are not, however, differences in federal structure.
These my grandmother left in their places ( they are still there, more persistent and longer-lived than the generations of man ) and planted others like them, that flourished without careful tending.
These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.
These are suggestive of Selma Lagerlof.
These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.
These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.
These responses are explicable in terms of characteristics inherent in the crisis.
These discoveries are of present interest chiefly to the scientific community ; ;
These are personality factors ; ;
These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.
These moments are historical events in the lives of individual authors with which the student of comparative literature must be frequently concerned.
These lives are in themselves outside of the moral order and are unburdened with moral responsibility.
These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.
These biographical analogies are obvious, and far too much time has been spent speculating on their possible implications.
These women whose organization grew out of the old suffrage movement are dedicated to Thomas Jefferson's dictum that one must cherish the people's spirit but `` Keep alive their attention ''.
These are, of course, the same people whose support he has only now rejected to seek the independent vote.
These are New York, Pennsylvania, Michigan, Maryland, Missouri, New Jersey, Illinois and Minnesota.
These men are spenders.

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