"< ref >, From the Gracchi to Nero: History of Rome from 133 B. C. to A. D. 68, London, 1982 < sup > 5 </ sup >, p. 303 .</ ref >

: From this list we extract an increasing sublist: put m < sub > 0 </ sub >= n < sub > 0 </ sub >, after finitely many steps we find an n < sub > k </ sub > such that n < sub > k </ sub > > m < sub > 0 </ sub >, put m < sub > 1 </ sub >= n < sub > k </ sub >.

From the criterion it also follows that Carmichael numbers are cyclic .< ref > Proof sketch: If is square-free but not cyclic, for two prime factors and of.

From a more advanced perspective, each of these definitions may be interpreted as giving the unique analytic continuation of e < sup > x </ sup > to the complex plane.

From this initial rational point, one can then compute an infinite number of v < sub > i </ sub >.

From the radian frequency, the natural frequency, f < sub > n </ sub >, can be found by simply dividing ω < sub > n </ sub > by 2π.

From this property, one can deduce that h maps the identity element e < sub > G </ sub > of G to the identity element e < sub > H </ sub > of H, and it also maps inverses to inverses in the sense that

From 3. we obtain ( a * b )< sup >− 1 </ sup >

From a geometric perspective, a function f is holomorphic at z < sub > 0 </ sub > if and only if its exterior derivative df in a neighborhood U of z < sub > 0 </ sub > is equal to f ′( z ) dz for some continuous function f ′.

< tr >< td > Problem in words :</ td >< td > In 10 years time, I will be twice as old as my son .</ td ></ tr >

< p > Goday, goday, my lord Sire Christëmas, goday !</ p >

< p > Estonian Prime Minister Mart Laar came to my office the other day to recount his country ’ s remarkable transformation.

< p > I was 25 years old and pursuing my doctorate in economics when I was allowed to spend six months of post-graduate studies in Naples, Italy.

</ br > To such I'll turn my deafest ear

</ br > And calmly drink my wine.

< p > When I am in my painting, I'm not aware of what I'm doing.

I would like < nowiki ></ nowiki > to remember Nausea, < nowiki > plays </ nowiki > No Exit and The Devil and the Good Lord, and then my two philosophical works, more particularly the second one, Critique of Dialectical Reason.

When it came to the issue of slavery in DC and slavery in the United States, he was against its abolition, and said so in his Inaugural Address in 1837: " I believed it a solemn duty fully to make known my sentiments in regard to it < nowiki > ,</ nowiki > and now, when every motive for misrepresentation has passed away, I trust that they will be candidly weighed and understood.

" Throne of my lonely niche, my wealth, my love, my moonlight .</ br >

My most sincere friend, my confidant, my very existence, my Sultan, my one and only love .</ br >

My springtime, my merry faced love, my daytime, my sweetheart, laughing leaf ...</ br >

In practical terms, the ampere is a measure of the amount of electric charge passing a point in an electric circuit per unit time with 6. 241 × 10 < sup > 18 </ sup > electrons, or one coulomb per second constituting one ampere.

This is not always the case: the trivial equation x = x specifies the entire plane, and the equation x < sup > 2 </ sup > + y < sup > 2 </ sup > = 0 specifies only the single point ( 0, 0 ).

Thus this class of molecules belong to the D < sub > 2d </ sub > point group.

where R < sub > i </ sub > is the position vector of particle i from the reference point, m < sub > i </ sub > is its mass, and V < sub > i </ sub > is its velocity.

Angular momenta of a classical object .< p > Left: intrinsic " spin " angular momentum S is really orbital angular momentum of the object at every point ,</ p >< p > right: extrinsic orbital angular momentum L about an axis ,</ p >< p > top: the moment of inertia tensor | moment of inertia tensor I and angular velocity ω ( L is not always parallel to ω )</ p >< p > bottom: momentum p and it's radial position r from the axis .</ p > The total angular momentum ( spin + orbital ) is J.

Its density of 14. 78 g / cm < sup > 3 </ sup > lies between those of curium ( 13. 52 g / cm < sup > 3 </ sup >) and californium ( 15. 1 g / cm < sup > 3 </ sup >), as does its melting point of 986 ° C, below that of curium ( 1340 ° C ) but higher than that of californium ( 900 ° C ).

More generally, an n-piece cubic Bézier curve can approximate a circle, when each inner control point is the distance from an outer control point on a unit circle, where t is 360 / n degrees, and n > 2.

In 1978, Joyce G. Baldwin, former principal of Trinity College, Bristol, proposed her view of the chiastic language structure for the Aramaic portion of Daniel chapters 2-7 .</ sup >

The particle physics community as a whole did not view their existence as likely in 2006 ,< ref name = PDGPentaquarks2006 > W .- M. Yao et al.

< http :// www. oed. com / view / Entry / 39766 >; accessed 20 March 2012 .</ ref > Other sources pre-date this use by nearly four decades to at least 1871, where it is used in The Journal of Mental Science reporting on a conference of the Fifth Quarterly Meeting of the Medico-Psychological Association ( now the Royal College of Psychiatrists ), held on Thursday, January 27th, 1870:

While some Lutherans believe in consubstantiation, others reject the concept because it substitutes what they believe to be the biblical doctrine with a philosophical construct and implies, in their view, a natural, local inclusion of the body and blood of Christ in the consecrated bread and wine of the eucharist .< ref > J. T.

In Weaver's view, complexity comes in two forms: disorganized complexity, and organized complexity .< ref >

define class < window > (< view >)

This term is specifically rejected by Lutheran churches and theologians since it creates confusion about the actual doctrine and subjects the doctrine to the control of a non-biblical philosophical concept in the same manner as, in their view, does the term " transubstantiation ".< ref > J. T.

In the traditional view of heterotrimeric protein activation, this exchange triggers the dissociation of the G < sub > α </ sub > subunit, bound to GTP, from the G < sub > βγ </ sub > dimer and the receptor.

No scientific body of national or international standing disagrees with this view ,< ref name = AQAonAAPG > though a few organizations hold non-committal positions.

Schematic view of a 2 × 8 < nowiki >'</ nowiki > single manual harpsichord

In discussing mechanisms of organic reactions, it is often a useful simplification to consider methyl lithium and related Grignard reagents as sal sources of " CH < sub > 3 </ sub >< sup >-</ sup >," although this view is fiction.

" One plausible view is that Nazōraean ( Ναζωραῖος ) is a normal Greek adaptation of a reconstructed, hypothetical term in Jewish Aramaic for the word later used in Rabbinical sources to refer to Jesus .< ref > G. F. Moore, ‘ Nazarene and Nazareth ,’ in The Beginnings of Christianity 1 / 1, 1920 pp. 426-432, according to which Hebrew Nôṣri the gentilic used of Jesus from the Tannaitic period onwards, would have corresponded to a hypothetical Jewish Aramaic * Nōṣrāyā, which would have in turn produced * N < sup >< span style =" font-size: 80 %"> e </ span ></ sup > ṣōrāyā.

Right view </ td >

where F < sub > ij </ sub > is the geometrical view factor for the radiation leaving j and hitting patch i.

Using the view factor reciprocity, A < sub > i </ sub > F < sub > ij </ sub > = A < sub > j </ sub > F < sub > ji </ sub >, the update equation can also be re-written in terms of the view factor F < sub > ji </ sub > seen by each sending patch A < sub > j </ sub >: