*( V, x ) where x is a value of unspecified nature ; and

*( V ), that yields a value ;

Here y *( w ) denotes the value of the linear functional y * ( which is an element of the dual space of W ) when evaluated at the element w ∈ W. This scalar in turn is multiplied by x to give as the final result an element of the space V.

If W = V, then one can also pair the covector w * ∈ V * with the vector v ∈ V via ( w *, v ) → w *( v ), which is the duality pairing between V and its dual, sometimes called the inner product.

: 0 → V → V ⊗ Λ < sup > 0, 1 </ sup > T *( X ) → V ⊗ Λ < sup > 0, 2 </ sup > T *( X )...

*( 12 ) Uulgarii regio est inmensa et populus multus habens civitates V, eo quod mutitudo magna ex eis sit et non sit eis opus civitates habere.

*( 58 ) Golensizi civitates V.

*( Many generations from Durin I to Durin VI, including Durin II – V.

*( V )-Eidous

*( V. D. F.

*( with White V .) “ Converging the Capabilities of ElectroActive Polymer Artificial Muscles and the Requirements of Bio-inspired Robotics ”, Proc.

Few known recorded languages preserve simple CV forms which apparently are fully functional roots conveying meaning, i. e. are words ---- but are not the reductions from earlier complex forms that we find in Mandarin Chinese CV forms, almost always derived with tonal and phonological modifications from Sino-Tibetan *( C ) CV ( C )( C )/( V ) forms.

*( 1 ) Leinster champions V. second placed team in one Qualifier group

*( 2 ) Munster champions V. second placed team in the other Qualifier group

*( 3 ) Matter and form are always and everywhere in the relation of " sustinens " and " sustentatum ", " propriatum " and " proprietas ", substratum and property or attribute.

*( 5. 2. 1 ) A sponsor may transfer any or all of the sponsor's trial-related duties and functions to a CRO, but the ultimate responsibility for the quality and integrity of the trial data always resides with the sponsor.

thus one may identify the modes by solving with respect to α and determining the value x *( α ).

*( 7 ) Assistance may be unconditional or subject to conditions as to the repayment of the assistance or of its value ( in whole or in part ).

*( 9 ) No person shall be liable to make any repayment of assistance or of its value at any time when he is in receipt of income support or family credit under the Social Security Act 1986.

x = ( c + ( c ^ 2-4 * k )^( 1 / 2 ))/( 2 * exp ( t *( c / 2-( c ^ 2-4 * k )^( 1 / 2 )/ 2 ))*( c ^ 2-4 * k )^( 1 / 2 )) -

Then the probability density function f *( x ) of the size biased population is

edit *( x )

Equivalently, a net T < sub > i </ sub > ⊂ B ( H ) of bounded operators converges to T ∈ B ( H ) in WOT if for all y * in H * and x in H, the net y *( T < sub > i </ sub > x ) converges to y *( Tx ).

*( 10-6 ) x 2 + 0 =

*( 9-5 ) x 2 + 6

*( 9-4 ) x 2 + 5 + 1 ( carried ) =

*( 10-2 ) x 2 + Half of 0 ( 0 ) =

*( 9-9 ) x 2 + Half of 2 ( 1 ) + 5 ( since 9 is odd ) + 1 ( carried )

*( 9-4 ) x 2 + Half of 9 ( 4 ) =

*( iv ) A universal statement "∀ x A ( x )" is true if and only if each object satisfies " A ( x )".

*( v ) An existential statement "∃ x A ( x )" is true if and only if there is an object which satisfies " A ( x )".

*( 4 ) The past, also known as the preterite, is rarely used in the spoken and written language and the same applies for the past anterior in both indicative and subjunctive moods ( because it has the past form of haver in the composite form ).

*( Battle ) The shoulder buttons / triggers on the GameCube and Xbox controllers were now used to lock-on to enemies.

In addition to use by boats, a primary aim of the project was to create a feature which could be enjoyed and used by walkers, cyclists and fishermen *( See comment above, fishing is not allowed on the Millennium Ribble Link ).

Infix expressions are the form of mathematical notation most people are used to, for instance 3 + 4 or 3 + 4 *( 2 − 1 ).

* The most accepted theory on the origin of the name Vardar derives Bardários from Thracian, from PIE *( s ) wordo-wori-' black water ' ( cf.

*( Quoted From " Post-80's in Hong Kong " section in Post-80s ) Post-80s in Hong Kong and the after-eighty generation in mainland China are for the most part different.

For most abelian varieties, the algebra Hdg *( X ) is generated in degree one, so the Hodge conjecture holds.

*( 1 ) Division with a hyphen in each of the forms indicates the root or " lexeme ", the portion specific to the particular conjugation, and the ending ( known in Catalan as the " desinènci ", a word most often seen in the plural " desinències ").

*( 1840 – 1893 ) Pyotr Ilyich Tchaikovsky, Russian composer whose works are among the most frequently performed in classical repertoire

*( 2 ) import substitution for industries that would compete with imports – the most important being cotton goods in textiles, threads and yarns ;

*( most recent ) Former abbot-Brother Mark W. Stamm

*( 1981 ) Micheline Lanctôt For displaying her award-winning talents in both the French and English languages, as an actress, a writer, an animator and ( most recently ) as a director.

*( 1 ) Josephine ’ s estranged husband Baron Stackelberg was most likely away from home at the beginning of July 1812 ( probably from the end of June for ca.