We can do this through the characteristic values and vectors of T in certain special cases, i.e., when the minimal polynomial for T factors over the scalar field F into a product of distinct monic polynomials of degree 1.

Second, even if the characteristic polynomial factors completely over F into a product of polynomials of degree 1, there may not be enough characteristic vectors for T to span the space V.

Absolute temperature measurement is uniquely determined by a multiplicative constant which specifies the size of the " degree ", so the ratios of two absolute temperatures, T < sub > 2 </ sub >/ T < sub > 1 </ sub >, are the same in all scales.

* Sparks, James T., The Chronicler ’ s Genealogies: Towards an Understanding of 1 Chronicles 1-9.

* Grabbe, L. L., " A history of the Jews and Judaism in the Second Temple Period, Volume 1 " ( T & T Clark, 2004 )

Job 2: 9 ) as Sitidos ( Sitis ) and his later wife ( expanded from Job 42: 13 in T. Job 1: 6 ) as Dinah.

The vital meeting was held at the Royal Hotel on 1 August 1885, W M C Hickson served as the chairman, and other notables in attendance included all the big sugar mill owners of that time, W G Farquhar, F L Nott, S McDougall, T Penny, S H Bravo and A H Young, all to become the first directors of the Company.

The long-debated location of Abritus was finally established ( 1 km east of the city of Razgrad ) after the excavations published by T. Ivanov in 1969 and 1971.

T denotes the tube axis, and a < sub > 1 </ sub > and a < sub > 2 </ sub > are the unit vectors of graphene in real space.

Most of its ethnically and linguistically diverse population lives in the south, with densities ranging from 54 persons per square kilometers in the Logone River basin to 0. 1 persons in the northern B. E. T.

As a special case, the three naturally occurring isotopes of the element hydrogen are often specified as H for < sup > 1 </ sup > H ( protium ), D for < sup > 2 </ sup > H ( deuterium ), and T for < sup > 3 </ sup > H ( tritium ).

These shells can be constructed from pentamers and hexamers by minimizing the number T ( triangulation number ) of nonequivalent locations that subunits occupy, with the T-number adopting the particular integer values 1, 3, 4, 7, 12, 13 ,...( T

For example, a purely dodecahedral virus has a T-number of 1 ( usually written, T = 1 ) and a truncated icosahedron is assigned T = 3.

There are six markers within the city limits: ' Cadillac Carnegie Library ,' ' Charles T. Mitchell House ,' ' Clam Lake Canal ,' ' Cobbs & Mitchell Building ,' ' Cobbs & Mitchell No. 1 ' and the ' Shay Locomotive ,' which is pictured at the right.

The DCT that is widely used in this regard was introduced by N. Ahmed, T. Natarajan and K. R. Rao in 1974 ; see Reference 1 in discrete cosine transform.

If T is a ( p, q )- tensor ( p for the contravariant vector and q for the covariant one ), then we define the divergence of T to be the ( p, q − 1 )- tensor

The Commission on Restructure, chaired by Granville T. Walker, held its first meeting on October 30 & November 1, 1962.

For each element a of a group G, conjugation by a is the operation φ < sub > a </ sub >: G → G given by ( or a < sup >− 1 </ sup > ga ; usage varies ).

: p ( N )/ N → 1 as N → ∞

: R < sub > 1 </ sub >- CH = CH-R < sub > 2 </ sub > + O < sub > 3 </ sub > → R < sub > 1 </ sub >- CHO + R < sub > 2 </ sub >- CHO + H < sub > 2 </ sub > O

* Historical Situation → The historical situation goes through three stages: in chapters 1 – 39 the prophet speaks of a judgment which will befall the wicked Israelites ; in chapters 40 – 55 the destruction of Jerusalem and the Temple ( 587 BCE ) is treated as an accomplished fact and the fall of Babylon as an imminent threat ; and in chapters 56 – 66 the fall of Babylon is already in the past.

: X + C → XC ( 1 )

The systematic name for sucrose, O-α-D-glucopyranosyl -( 1 → 2 )- D-fructofuranoside, indicates four things:

The systematic name for lactose is O-β-D-galactopyranosyl -( 1 → 4 )- D-glucopyranose.

This is because we arrange things such that for every integer, there is a distinct odd integer: ... − 2 → − 3, − 1 → − 1, 0 → 1, 1 → 3, 2 → 5, ...; or, more generally, n → 2n + 1.

On the remainder of the clear channels, the dominant ( class 1 ) -- B stations are protected as described above, and the relatively small number of secondary ( class 2 ) ) stations permitted to operate on these channels at night are required to operate directionally and/or with reduced power so as to protect the class 1, stations.

Additional class 2, assignments for daytime operation can be made without causing destructive interference to the class 1, stations or to each other, and by their operation provide additional service on these channels and additional local outlets for a large number of communities.

When three dice are tossed repeatedly, what is the probability that the number of aces is 0 ( or 1, or 2, or 3 )??

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

For example, the marksman gets 5 shots, but we take his score to be the number of shots before his first bull's-eye, that is, 0, 1, 2, 3, 4 ( or 5, if he gets no bull's-eye ).

The number of successes on each shot is a value of a random variable that has values 0 or 1, and there are 5 such random variables here.

There were two methods that could have been used for conducting the study within the resources available: ( 1 ) interviews in depth with a few selected companies, and ( 2 ) the more limited interrogation of a large number of companies by means of a mail questionnaire.

However, in the actual assessment of the cutting force by instrumental methods for any thickness of coating a number of spurious effects occur which must be taken into account and which make the measured value larger than the true cutting force indicated by eqn. ( 1 ).

Table 1,, p. 394, shows a comparison of K factor ratings of a number of commercial insulating materials in common use, including two different types of rigid urethane foam.

One Nepōhualtzintzin ( 91 ) represented the number of days that a season of the year lasts, two Nepōhualtzitzin ( 182 ) is the number of days of the corn's cycle, from its sowing to its harvest, three Nepōhualtzintzin ( 273 ) is the number of days of a baby's gestation, and four Nepōhualtzintzin ( 364 ) completed a cycle and approximate a year ( 1 days short ).

In addition, mixed race ( European and African ) people amount to about 2 %, with a small ( 1 %) population of whites, mainly ethnically Portuguese ( as a former overseas territory of Portugal until 1975, the Portuguese make up currently the largest non-African population, with certainly more than 100, 000, a number that has been constantly increasing from the 2000s, because of Angola's growing demand for qualified human resources.

The proposed change would define 1 A as being the current in the direction of flow of a particular number of elementary charges per second.

While Nicomachus ' algorithm is the same as Euclid's, when the numbers are prime to one another it yields the number " 1 " for their common measure.

Although England decisively won the Ashes 4 – 1, Bodyline caused such a furore in Australia that diplomats had to intervene to prevent serious harm to Anglo-Australian relations, and the MCC eventually changed the Laws of cricket to curtail the number of leg side fielders.

An algebraic number of degree 1 is a rational number.

An example of such a number is the unique real root of the polynomial ( which is approximately 1. 167304 ).

An algebraic integer is an algebraic number which is a root of a polynomial with integer coefficients with leading coefficient 1 ( a monic polynomial ).

The simple names s orbital, p orbital, d orbital and f orbital refer to orbitals with angular momentum quantum number l = 0, 1, 2 and 3 respectively.

The gathering of ormers is now restricted to a number of ' ormering tides ', from January 1 to April 30, which occur on the full or new moon and two days following.

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.