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So in the example above, the has simply been replaced by 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 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.

So, for example, H ( C = O )( CHOH )< sub > 4 </ sub > H is pentose, H ( CHOH )( C = O )( CHOH )< sub > 3 </ sub > H is pentulose, and H ( CHOH )< sub > 2 </ sub >( C = O )( CHOH )< sub > 2 </ sub > H is pent-3-ulose.

So the various components can be viewed as forming a hierarchy of memories ( m < sub > 1 </ sub >, m < sub > 2 </ sub >,..., m < sub > n </ sub >) in which each member m < sub > i </ sub > is in a sense subordinate to the next highest member m < sub > i-1 </ sub > of the hierarchy.

The set of elements 0 ≤ x is often denoted with G < sup >+</ sup >, and it is called the positive cone of G. So we have a ≤ b if and only if-a + b ∈ G < sup >+</ sup >.

So while pressing < tt > A </ tt > the first time might generate a < tt > Q </ tt >, the next time it might generate a < tt > J </ tt >.

So the spectrum includes the set of approximate eigenvalues, which are those λ such that is not bounded below ; equivalently, it is the set of λ for which there is a sequence of unit vectors x < sub > 1 </ sub >, x < sub > 2 </ sub >, ... for which

So the manifold T * M itself carries local coordinates ( x < sup > i </ sup >, p < sub > i </ sub >) where the x are coordinates on the base and the p are coordinates in the fibre.

So we only need to know how to assign " numbers " to the elements of m < sub > x </ sub >/ m < sub > x </ sub >< sup > 2 </ sup >, and this is what the dual space does.

So the ECD at 0 K, J < sub > 0 </ sub >, is given from eq.

So it is convenient to write J < sub > 0 </ sub > as Z < sub > F </ sub > D < sub > F </ sub >, where the " effective supply " Z < sub > F </ sub > is the current density that would have to be carried by state F inside the metal if all of the emission came out of state F.

So the incoming radio signal is amplified by a large amount, 10 < sup > 3 </ sub >-10 < sup > 5 </ sup >, increasing the receiver's sensitivity to weak signals.

So ( assuming the axiom of choice ) we identify ω < sub > α </ sub > with ℵ < sub > α </ sub >, except that the notation ℵ < sub > α </ sub > is used for writing cardinals, and ω < sub > α </ sub > for writing ordinals.

( οὕτως καὶ ὁ υἱὸς τοῦ ἀνθρώπου μέλλει πάσχειν ὑπʼ αὐτῶν = So also the Son of Man is about to suffer at their hands ) is transposed to follow Matthew 17: 13, as in it < sup > a, b, c, d, e, ff < sup > 1 </ sup >, ff < sup > 2 </ sup >, g < sup > 1 </ sup >, n, r < sup > 1 </ sup ></ sup >

So each critical point z < sub > 0 </ sub > of ƒ lies at the center of a disc B ( z < sub > 0 </ sub >, r ) containing no other critical point of ƒ in its closure.

So the previously mentioned tuning can be tuned down to B < sup >♭</ sup >, F, B < sup >♭</ sup >, c, d. Asahikai and Tachibanakai are the two major schools of Chikuzen biwa.

So if V < sub > 1 </ sub >, V < sub > 2 </ sub >, V < sub > n </ sub >… are considered to be the partial volumes of components in the gaseous mixture, then the total volume V would be represented as:

So, for example, a list of mis-interpretations of the meaning of p-values accompanies the article on p-values ; controversies are detailed in the article on statistical hypothesis testing.

So, for example, in a world in which exists a materially paradoxical omnipotence, its very paradoxicality seems either to be a material-paradox-of-a-material-paradox, or to be a non-paradox per the proposition that it exists ( i. e., if it exists, then nothing has inherent meaning, including itself ).

So if it can be shown that the word means different things across different contexts of use, then cases where its meaning cannot be essentially defined as ' married bachelor ' seem to constitute counterexamples to this method of analysis.

An example of a trope is irony, which is the use of words to convey the opposite of their usual meaning (" For Brutus is an honorable man ; / So are they all, all honorable men ").

So, while these radars use a highly specialized form of doppler radar, the term is much broader in its meaning and its applications.

However, a cursory glance at the Proto-Celtic lexicon reveals that * belatu-is reconstructible for Proto-Celtic with the meaning ‘ death ’ and that * kadro-is a reconstructible element meaning ‘ decorated .’ So the name Belatucadros may also be interpreted as a compound of two Gallic words descended from two Proto-Celtic elements * belatu-and * kadro-which together as a compound adjective would literally mean ‘ death-decorated .’ Indeed, this is hardly an original proposal for the meaning of the name of this god associated with Mars: MacCulloch as early as 1911 ( p135 ) glossed this god ’ s name as ‘ comely in slaughter ’.

So he suggested combining Kore meaning ' maiden ' and opolis meaning ' city ' (' maiden city ') to achieve Koreopolis.

So many dictionaries of varied size and quality have been called Webster's that the name no longer has any specific brand meaning.

So the meaning of the name is " Northern Odal ".

So the meaning of Hornnes is " the headland shaped like a horn ".

So the meaning of the compounded name Hornindal is " the valley / dale of Horne ".

So as consistent with the meaning of the chi-squared distribution, we are measuring how probable the observed number of standard deviations away from the mean is under the Gaussian approximation ( which is a good approximation for large n ).

So, the meaning of OWL Full ontologies are defined by extension of the RDFS meaning, and OWL Full is a semantic extension of RDF.

So too do meaning, communication, and learning.

So the meaning of the name Svea is " Swede ".

So, the owner must irreversibly commit to continuing the campaign until relatively sure the trademark has achieved primary meaning as a trademark rather than as a common name of the product or service.

So in the above example, " gene " is a T-term because, although it is observable, we cannot understand its meaning from observation alone.

So we have, for example, hydronyms name bodies of water, synonyms are names with the same meaning and so on.

So with a word ( or other linguistic unit ) the meaning ( apprehended content ) and the sound come together to make a sign.

So often memorized and recited as to lose any shred of meaning or emotion, it is today remembered mostly as a tag line and as a topic of parodies.