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 " Elohim " could refer to any number of " rulers ", such as angels, false gods ( as defined by Torah ), or even human holders of power including rulers or judges within Israel, as described in, without violating the parameters of monotheism.

So the logarithm cannot be defined for the whole complex plane, and even then it is multi-valued – any complex logarithm can be changed into an " equivalent " logarithm by adding any integer multiple of 2πi at will.

So the critical angle is only defined when is less than 1.

So if you had defined a record type in the TPF system of ' FRED ' and gave it 100 records or ordinals, then in a processor shared scheme record type ' FRED ' ordinal ' 5 ' would resolve to exactly the same file address on DASD-clearly necessitating the use of a record locking mechanism.

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.

So salsa defined this particular type of music ...

So, for example, in the criminal law case of R v. Rimmington ( 2005 ) UKHL 63 Lord Bingham said " Where Parliament has defined the ingredients of an offence.

So in IE religions there is an introducer god ( as Vedic Vâyu and Roman Janus ) and a god of ending, a nurturer goddess and a genie of fire ( as Vedic Saraswati and Agni, Avestic Armaiti, Anâitâ and Roman Vesta ) who show a sort of mutual solidarity: the concept of ' god of ending ' is defined in connexion to the human referential, i. e. the current situation of man in the universe, and not to endings as transitions, which are under the jurisdiction of the gods of beginning, owing to the ambivalent nature of the concept.

So in mathematical terms a curve is defined by four coordinate functions ( where usually denotes the time coordinate ) depending on one parameter.

So far a world line ( and the concept of tangent vectors ) is defined in spacetime even without a definition of a metric.

So the diameter concept needs to be carefully defined to be meaningful.

So much was she part of it, so much was her star personality defined by it, that the screwball style itself seems almost unimaginable without her.

So a set is not defined by a formula ; rather, there are both and formulas that define the set.

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 formidably defined, rumor is but a special case of informal social communications, including myth, legend, and current humor.

So the correct fourth are i and − i, which are the imaginary numbers defined to be.

So the symbol is homogeneous in the variables y, of degree n. The symbol is well defined even though ∂/∂ x < sub > i </ sub > does not commute with x < sub > i </ sub > because we only keep the highest order terms and differential operators commute " up to lower-order terms ".

So, these lines do not intersect at an omega point and such points, although well defined, do not belong to a hyperbolic space itself.

So although it is an ancient and well established locality, it has only recently been officially defined, by the Natural England National Character Area ( NCA ) process, which takes a somewhat wider definition than many previous attempts to define the area.

So the boundary was defined to follow the river until it turned northeast, and then to follow a straight line north to the 35th parallel ( whose role in state borders dates back to the split of North and South Carolina in 1730 ).

So called " priest-penitent " privilege, which precludes forced testimony of confessions made to a priest, minister, or religious adviser are statutorily defined in the United States.

' So what we're doing now is expanding G4 from a network solely defined by videogames to one inspired by them.

So for infinitary logics the notions of strong compactness and strong completeness are defined.

So the Brønsted – Lowry concept can be defined by the reaction:

So, walking in awe, he became familiar with God, who resided chiefly in Drew Centennial Church with its high steeple and clock.

`` So extensive became her circle of admirers '', Egyptian police said, `` that her escapades caused distrust ''.

So, for happy years, Helva scooted around in her shell with her classmates, playing such games as Stall, Power-Seek, studying her lessons in trajectory, propulsion techniques, computation, logistics, mental hygiene, basic alien psychology, philology, space history, law, traffic, codes: all the et ceteras that eventually became compounded into a reasoning, logical, informed citizen.

So he became a kind of emblem to the Athenians, who inscribed on his statues: ' Restrain your tongues, your appetites, your passions.

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.

The Paige / Dickson duet " I Know Him So Well " became a major UK # 1 hit, and Murray Head's " One Night in Bangkok " gave Andersson / Ulvaeus a US # 3 hit.

So, Bogotá became one of the principal administrative centers of the Spanish possessions in the New World, along with Lima and Mexico City, though it remained somewhat backward compared to those two cities in several economic and logistical ways.

So it was that New Castle lawyer Thomas McKean denounced the Stamp Act in the strongest terms, and Kent County native John Dickinson became the " Penman of the Revolution.

So the issue of " acceptability ", up to that time mainly concerning theory, finally became experimentally decidable.

South Korean scholar So Jin Cheol claim that Bu is not Yūryaku but Sima, who became King Muryeong of Baekje.

So strong was Galenism that other authors such as Hippocrates began to be seen through a Galenic lens, while his opponents became marginalised and other medical sects such as Asclepiadism slowly disappeared.

So, all works of Lovecraft published during his lifetime, became public domain in all 27 European Union countries on 1 January 2008.

So, the science fiction fans began to organize, and became aware of themselves as a movement, a social force ; this was probably decisive for the subsequent history of the genre.

So I, Feral Faun, became ... an anarchist ... a writer ... a Stirner-influenced, post-situationist, anti-civilization theorist ... if not in my own eyes, at least in the eyes of most people who've read my writings.

So I became very conscious of speech and the effects it can have.

So, the later-imported term became a synonym for the native English word scir () or, in Modern English, shire

So I said, ' There is more action going on in my hometown with my friends dealing with the fact that they can't deal with turning 30 or with commitment ' - all that became Beautiful Girls ".

These coffee-house clubs soon became hotbeds of political scandal-mongering and intriguing, and in 1675 King Charles II issued a proclamation which ran: “ His Majesty hath thought fit and necessary that coffee houses be ( for the future ) put down and suppressed ,” because “ in such houses divers false, malitious and scandalous reports are devised and spread abroad to the Defamation of his Majesty ’ s Government and to the Disturbance of Peace and Quiet of the Realm .” So unpopular was this proclamation that it was almost instantly found necessary to withdraw it, and by Anne ’ s reign the coffee-house club was a feature of England ’ s social life.

So it seems that Newton abandoned pursuits to which he was normally dedicated, and did very little else for well over a year and a half, but concentrated on developing and writing what became his great work.

Other songs, like the weary " American Tune " or the melancholic " Something So Right " – a tribute to Simon's first wife, Peggy – became standards in the musician's catalogue.

Long drawn-out jams in numbers like " Spoonful ", " N. S. U. ", " I'm So Glad ", and " Sweet Wine " became live favourites, while songs like " Sunshine of Your Love ", " Crossroads ", and " Tales of Brave Ulysses " remained reasonably short.

Rushton was involved as one of the hosts in the early episodes of another satirical programme in late 1964 Not So Much A Programme, but drifted away as it became the vehicle that launched David Frost as a chat show host.

For the hit Broadway show, " Hot Chocolates ", he and Razaf wrote "( What Did I Do to Be So ) Black and Blue " ( 1929 ), which became a hit for Ethel Waters and Louis Armstrong.

It eventually became the first solo White album, 1973's " I've Got So Much to Give ".

So it seems the original form of the name was Ashk-Abad ( which means the city built by Ashk ), and because of Turkish pronunciation of the name it became like it is today.