He also offers a conversion table ( see Cohen, 1988, p. 283 ) for eta squared ( η < sup > 2 </ sup >) where 0. 0099 constitutes a small effect, 0. 0588 a medium effect and 0. 1379 a large effect.

< p > In the Dardanelles.

where we use the symbol k to denote the quantum numbers p and σ of the previous section and the sign of the energy, E ( k ), and a < sub > k </ sub > denotes the corresponding annihilation operators.

Under Ambrose's major influence, emperors Gratian, Valentinian II and Theodosius I carried on a persecution of Paganism .< ref name = " MacMullen1984p100 "> MacMullen ( 1984 ) p. 100: ‘ The law of June 391, issued by Theodosius [...] was issued from Milan and represented the will of its bishop, Ambrose ; for Theodosius — recently excommunicated by Ambrose, penitent, and very much under his influence < sup > 43 </ sup > — was no natural zealot.

"< 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 >

where p is a program in L < sub > 2 </ sub >.

After the indecisive < ref name =" British historian Townsend Miller "> British historian Townsend Miller: “ But, if the outcome of < nowiki > battle of </ nowiki > Toro, militarily, is debatable, there is no doubt whatsoever as to its enormous psychological and political effects ” in The battle of Toro, 1476, in History Today, volume 14, 1964, p. 270 </ ref > Battle of Toro in 1476 against King Ferdinand II of Aragon, the husband of Isabella I of Castile, he went to France to obtain the assistance of Louis XI, but finding himself deceived by the French monarch, he returned to Portugal in 1477 in very low spirits.

Then, p < sup > 2 </ sup > is the fraction of the population homozygous for the first allele, 2pq is the fraction of heterozygotes, and q < sup > 2 </ sup > is the fraction homozygous for the alternative allele.

If the first allele is dominant to the second, then the fraction of the population that will show the dominant phenotype is p < sup > 2 </ sup > + 2pq, and the fraction with the recessive phenotype is q < sup > 2 </ sup >.

His key contributions include topological tensor products of topological vector spaces, the theory of nuclear spaces as foundational for Schwartz distributions, and the application of L < sup > p </ sup > spaces in studying linear maps between topological vector spaces.

< p > On the North.

< p > On the South.

< p > On the East.

where θ < sub > r, p </ sub > is the angle between r and p measured from r to p ; an important distinction because without it, the sign of the cross product would be meaningless.

< p > Flavored malt beverages are brewery products that differ from traditional malt beverages such as beer, ale, lager, porter, stout, or malt liquor in several respects.

< p > Although flavored malt beverages are produced at breweries, their method of production differs significantly from the production of other malt beverages and beer.

< p > While the alcohol content of flavored malt beverages is similar to that of most traditional malt beverages, the alcohol in many of them is derived primarily from the distilled spirits component of the added flavors rather than from fermentation .</ p > ( 70 Fed.

* For a finite field of prime order p, the algebraic closure is a countably infinite field which contains a copy of the field of order p < sup > n </ sup > for each positive integer n ( and is in fact the union of these copies ).

a = p < sub > 1 </ sub > p < sub > 2 </ sub >... p < sub > n </ sub >

b = q < sub > 1 </ sub > q < sub > 2 </ sub >... q < sub > m </ sub > are products of primes.

p < sub > 1 </ sub > p < sub > 2 </ sub >... p < sub > n </ sub > q < sub > 1 </ sub > q < sub > 2 </ sub >... q < sub > m </ sub > is the product of primes.

Next, we eliminate all free variables from φ by quantifying them existentially: if, say, x < sub > 1 </ sub >... x < sub > n </ sub > are free in φ, we form.

< BLOCKQUOTE >... there is no doubt that the first battlefield for jihad is the extermination of these infidel leaders and to replace them by a complete Islamic Order ...</ BLOCKQUOTE >

< p >... people like Jane Fonda and all the names on that letter are assisting the Palestinian propagandists against the State of Israel.

Fonda later explained that she had regretted signing the petition, saying that she had signed the letter ... < p >... without reading it carefully enough, without asking myself if some of the wording wouldn't exacerbate the situation rather than bring about constructive dialogue ...

Later, ( Hirst, 2003, p. 427 ) a promised Charter amendment based on Fatah doctrine " that all Jews < nowiki > date restriction </ nowiki >... were to be entitled to Palestinian citizenship " failed due to doctrinal quarrels over the meaning of the precise nature of the proposed Democratic State.

Let ( q < sub > 1 </ sub >, w, x < sub > 1 </ sub > x < sub > 2 </ sub >... x < sub > m </ sub >) ( q < sub > 2 </ sub >, y < sub > 1 </ sub > y < sub > 2 </ sub >... y < sub > n </ sub >) be a transition of the GPDA

So a quasar at an absolute magnitude of − 25. 5 is 100 times brighter than our galaxy ( because ( 10 < sup > 0. 4 </ sup >)< sup >(− 20. 5 -(− 25. 5 ))</ sup >

After Christians in Ephesus first wrote to their counterparts recommending Apollos to them, he went to Achaia where Paul names him as an apostle ( 1 Cor 4: 6, 9-13 ) Given that Paul only saw himself as an apostle ' untimely born ' ( 1 Cor 15: 8 ) it is certain that Apollos became an apostle in the regular way ( as a witness to the risen Lord and commissioned by Jesus-1 Cor 15: 5-9 ; 1 Cor 9: 1 ).< ref > So the Alexandrian recension ; the text in < sup > 38 </ sup > and Codex Bezae indicate that Apollos went to Corinth.

So, for example, while R < sup > n </ sup > is a Banach space with respect to any norm defined on it, it is only a Hilbert space with respect to the Euclidean norm.

So, substituting the angular momentum and moment of inertia into E < sub > rot </ sub >, the rotational energy levels of a diatomic molecule are given by:

So P < sub > n </ sub > agree with the Bernoulli polynomials on the interval ( 0, 1 ) and are periodic with period 1.

So the parameters are: a — distance from center C to either vertex b — length of a perpendicular segment from each vertex to the asymptotes c — distance from center C to either Focus point, F < sub > 1 </ sub > and F < sub > 2 </ sub >, and θ — angle formed by each asymptote with the transverse axis.

So the logarithm function is in fact a group isomorphism from the group ( R < sup >+</ sup >,< big >×</ big >) to the group ( R ,< big >+</ big >).

) So far, observations show any rotation of the Universe is very slow ( no faster than once every 60 · 10 < sup > 12 </ sup > years ( 10 < sup >− 13 </ sup > rad / yr )), and debate persists over whether there is any rotation.

So in the example above, the has simply been replaced by < code >< nowiki > http :// usemod. com / cgi-bin / mb. pl ?</ nowiki ></ code > in creating the target of the HTML rendered link.

So if there are m factors, there will be 2 < sup > m </ sup > idempotents.

So, in these cases, the lethal concentration may be given simply as LC < sub > 50 </ sub > and qualified by a duration of exposure ( e. g., 10 minutes ).

So < sup > 256 </ sup > Fm was produced by the decays of cyclotron-synthesized mendelevium.

So if L ( r ) is proportional to r < sup >− 2 </ sup >, then for to be finite, N ( r ) must be proportional to r < sup > b </ sup >, where b < 1.

So beginning at the left and moving to the right, find the first ( and in this case, the only ) parenthesis, that is, ( 2 + 2 < sup > 2 </ sup >).

So the correct value for our original expression, 4 × 2 < sup > 2 </ sup > − ( 2 + 2 < sup > 2 </ sup >), is 10.

So, < τέλειος > (< téleios >, meaning " perfect " and " complete ") yields < τέλεια > (< téleia >, " perfectly ") and < τελείως > (< teleíos >, " completely ").

So the output contains sinusoidal terms with frequencies at the sum ω < sub > 1 </ sub > + ω < sub > 2 </ sub > and difference ω < sub > 1 </ sub >-ω < sub > 2 </ sub > of the two original frequencies.