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Page "Separable space" ¶ 35
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::( and iii
::( iii ) the rural districts of Disley and Tintwistle ;
::( iii ) dictating, limiting or interfering with decisions whether or not to employ or engage persons, or relating to the terms on which they be employed or engaged ;

::( and X
::( i ) X is second countable.
::( ii ) The space of continuous real-valued functions on X with the supremum norm is separable.

::( and is
::( This is not Mathematics.
::( d ) the person has refused or is unable to consent to the necessary treatment for the mental illness ; and
::( a ) even though a legal definition suffices, mandatory hospitalisation can be ordered in cases of murder ; if the defendant is not medically insane, there is little point in requiring medical treatment.
::( Rejoice and sing, France: the lily is bathed with heavenly dew.
::( g ) instigates a person who is not an Australian citizen to make an armed invasion of the Commonwealth or a Territory of the Commonwealth ; or
::( A ) is likely to cause confusion, or to cause mistake, or to deceive [...] as to the origin, sponsorship, or approval of his or her goods, services, or commercial activities by another person, or
::( 1 ) If, by reason of death, resignation, removal from office, inability, or failure to qualify, there is neither a President nor Vice President to discharge the powers and duties of the office of President, then the Speaker of the House of Representatives shall, upon his resignation as Speaker and as Representative in Congress, act as President.
::( 1 ) if his discharge of the powers and duties of the office is founded in whole or in part on the failure of both the President-elect and the Vice-President-elect to qualify, then he shall act only until a President or Vice President qualifies ; and
::( 2 ) if his discharge of the powers and duties of the office is founded in whole or in part on the inability of the President or Vice President, then he shall act only until the removal of the disability of one of such individuals.
::( 1 ) If, by reason of death, resignation, removal from office, inability, or failure to qualify, there is no President pro tempore to act as President under subsection ( b ) of this section, then the officer of the United States who is highest on the following list, and who is not under disability to discharge the powers and duties of the office of President shall act as President: Secretary of State, Secretary of the Treasury, Secretary of Defense, Attorney General, Secretary of the Interior, Secretary of Agriculture, Secretary of Commerce, Secretary of Labor, Secretary of Health and Human Services, Secretary of Housing and Urban Development, Secretary of Transportation, Secretary of Energy, Secretary of Education, Secretary of Veterans Affairs, Secretary of Homeland Security.
::( 2 ) An individual acting as President under this subsection shall continue so to do until the expiration of the then current Presidential term, but not after a qualified and prior-entitled individual is able to act, except that the removal of the disability of an individual higher on the list contained in paragraph ( 1 ) of this subsection or the ability to qualify on the part of an individual higher on such list shall not terminate his service.
::( 1 ) with intent to usurp or override lawful military authority, refuses, in concert with any other person, to obey orders or otherwise do his duty or creates any violence or disturbance is guilty of mutiny ;
::( 2 ) with intent to cause the overthrow or destruction of lawful civil authority, creates, in concert with any other person, revolt, violence, or other disturbance against that authority is guilty of sedition ;
::( 3 ) fails to do his utmost to prevent and suppress a mutiny or sedition being committed in his presence, or fails to take all reasonable means to inform his superior commissioned officer or commanding officer of a mutiny or sedition which he knows or has reason to believe is taking place, is guilty of a failure to suppress or report a mutiny or sedition.
::( i ) The vector sum of all external forces is zero ;
::( ii ) The sum of the moments of all external forces about any line is zero.
::( A ) the offender or the person seized or detained is a national of the United States ;
::( B ) the offender is found in the United States ; or

::( and .
::( I. 1-4: These are the last days, the worst of times: let us keep watch.
::( References the original experiment by Griffith.
::( e ) the person cannot receive adequate treatment for the mental illness in a manner less restrictive of that person's freedom of decision and action.
::( b ) diabetes has been held to facilitate a defence of insanity when it causes hyperglycemia, but not when it causes hypoglycemia.
::( c ) Article 5 of the European Convention on Human Rights, imported into English law by the Human Rights Act 1998 provides that a person of unsound mind may only be detained where proper account of objective medical expertise has been taken.
::( 0. 05 * 50, 000 ) + ( 0. 10 * 50, 000 ) + ( 0. 15 * 75, 000 )
::( h ) forms an intention to do any act referred to in a preceding paragraph and manifests that intention by an overt act.
::( The American Film Institute listed this at number 53 in the 100 Greatest Movie Quotes of All Time.
::( Note: David A.
::( b ) shall decide whether he did intend or foresee that result by reference to all the evidence, drawing such inferences from the evidence as appear proper in the circumstances.
::( e ) Any form of propaganda directed against them.
::( 2 ) The same rule shall apply in the case of the death, resignation, removal from office, or inability of an individual acting as President under this subsection.

iii and X
If the observed data X < sub > 1 </ sub >, ..., X < sub > n </ sub > are ( i ) uncorrelated, ( ii ) have a common mean μ, and ( iii ) have a common variance σ < sup > 2 </ sup >, then the sample average < span style =" text-decoration: overline "> X </ span > has mean μ and variance σ < sup > 2 </ sup > / n. If our null hypothesis is that the mean value of the population is a given number μ < sub > 0 </ sub >, we can use < span style =" text-decoration: overline "> X </ span > − μ < sub > 0 </ sub > as a test-statistic, rejecting the null hypothesis if < span style =" text-decoration: overline "> X </ span > − μ < sub > 0 </ sub > is large.
* If Y is irreducible with generic point y, and if f < sup >− 1 </ sup >( y ) is irreducible, then X is irreducible .< ref > EGA IV < sub > 2 </ sub >, Corollaire 2. 3. 5 ( iii ).</ ref >
He was abbreviator under Pope Leo X, and in that capacity drew up in 1520 the bull against Martin Luther ( L. Cardella, Memorie Storiche de ' Cardinali, 1793, iii.

iii and is
He reasons that, i ) if we knew the nature of this power, then the mind-body divide would seem totally unmysterious to us ; ii ) if we had immediate knowledge of this mysterious power, then we would be able to intuitively explain why it is that we can control some parts of our bodies ( e. g., our hands or tongues ), and not others ( e. g., the liver or heart ); iii ) we have no immediate knowledge of the powers which allow an impulse of volition to create an action ( e. g., of the " muscles, and nerves, and animal spirits " which are the immediate cause of an action ).
There also is the origin myth that represents the ægis as a fire-breathing chthonic monster similar to the Chimera, which was slain and flayed by Athena, who afterward wore its skin as a cuirass ( Diodorus Siculus iii.
iii. 74a ), is in the main pure Hebrew, and even includes Hebrew translations of Greek proper names, to avoid the danger of possible exposure should the letter have fallen into the hands of enemies and informers ( compare Eruvin 53b ).
The most notable alteration is the shortening of most feasts from nine to three lessons at Matins, keeping only the Scripture readings ( the former lesson i, then lessons ii and iii together ), followed by either the first part of the patristic reading ( lesson vii ) or, for most feasts, a condensed version of the former second Nocturn, which was formerly used when a feast was reduced in rank and commemorated.
* It is a fragmentary theory of intelligent reasoning, expressed in terms of three components: ( i ) the representation's fundamental conception of intelligent reasoning ; ( ii ) the set of inferences the representation sanctions ; and ( iii ) the set of inferences it recommends.
It can be divided into five domains: ( i ) a 19 amino acid cleaved signal sequence ; ( ii ) a large prosequence domain that is not present in mature lactase ; ( iii ) the mature lactase segment ; ( iv ) a membrane spanning hydrophobic anchor ; and ( v ) a short hydrophilic carboxyl terminus.
As for the texts themselves, the Yoga Sutra iii. 44 cites a sutra as that from Patanjali by name, but this line itself is not from the Mahābhāṣya.
According to the reference syntax, letter-case ( upper-or lower -) is not distinguished in tag names, thus the three tags: ( i ), ( ii ), and ( iii ) are equivalent.
The passage is also of historical value in establishing three separate facts about Rome around AD 60: ( i ) that there were a sizable number of Christians in Rome at the time, ( ii ) that it was possible to distinguish between Christians and Jews in Rome, and ( iii ) that at the time pagans made a connection between Christianity in Rome and its origin in Judea.
The Court outlined three factors that were to be considered in determining if the sentence is excessive: "( i ) the gravity of the offense and the harshness of the penalty ; ( ii ) the sentences imposed on other criminals in the same jurisdiction ; and ( iii ) the sentences imposed for commission of the same crime in other jurisdictions.
The denial of the virgin birth is also sometimes ascribed to the Ebionites ; however, Origen ( Contra Celsum v. 61 ) and Eusebius ( HE iii. 27 ) both indicate that some Ebionites did accept the virgin birth.
It is interesting to note that the fanciful derivation of the name Veronica from the words Vera Icon ( eikon ) " true image " dates back to the " Otia Imperialia " ( iii 25 ) of Gervase of Tilbury ( fl.
Further aviation benefits of a Wankel engine include: ( i ) rotors cannot seize, since rotor casings expand more than rotors ; ( ii ) a Wankel is not susceptible to " shock-cooling " during descent ; ( iii ) a Wankel does not require an enriched mixture for cooling at high power ; ( iv ) having no reciprocating parts, it is less vulnerable to damage during " over-revving " ( the main rev-limit being the strength of the main bearings ).
He is therefore called for man ' Non-Existing ' '" ( Zohar, iii.
An English translation of the surviving letters is part of the Nicene and Post-Nicene Fathers ( 2 ser., iii.
The St. Crispin's Day Speech is a famous motivational speech from the play, delivered by Henry V before the Battle of Agincourt ( Act IV Scene iii ).
Their distribution is roughly as follows: European trade federations ( 32 %), consultants ( 20 %), companies ( 13 %), NGOs ( 11 %), national associations ( 10 %), regional representations ( 6 %), international organizations ( 5 %) and think tanks ( 1 %), ( Lehmann, 2003, pp iii ).
Amphitrite is not fully personified in the Homeric epics: " out on the open sea, in Amphitrite's breakers " ( Odyssey iii. 101 ), " moaning Amphitrite " nourishes fishes " in numbers past all counting " ( Odyssey xii. 119
In 381, the First Council of Constantinople declared that " The Bishop of Constantinople shall have the primacy of honour after the Bishop of Rome, because it is New Rome " ( canon iii ).
At the death of the latter ( 4 BC ) one portion of it was annexed to the tetrarchy of his son Herod Philip II, and the remainder bestowed upon that Lysanias who is named by Luke ( iii.
However, in the original paper the presentation of the BO approximation is well hidden in Taylor expansions ( in terms of internal and external nuclear coordinates ) of ( i ) electronic wave functions, ( ii ) potential energy surfaces and ( iii ) nuclear kinetic energy terms.
Wælcyrge is used to translate the names of the classical furies in two manuscripts ( Cotton Cleopatra A. iii, and the older Corpus Glossary ).
In the manuscript Cotton Cleopatra A. iii, wælcyrge is also used to gloss the Roman goddess Bellona.

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