*( V ), that yields a value ;

*( V ) always returns the value x used in the most recent ( V, x ) operation on the same variable V.

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

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 )".

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

A *( B *( C * D )) where A, B, C, D are partially transparent image layers and "*" denotes a compositing operator ( with the left layer on top of the right layer ).

In other words, if a planet, M, follows an elliptical orbit around a focus F and has a point P where PM is tangent to the curve and FPM is a right angle so that FP is the perpendicular to the tangent, then the centripetal force at point P is proportional to F * M /( R *( F * P )< sup > 3 </ sup >) where R is the radius of the curvature at M. Johann Bernoulli proved this formula in 1710.

*( He ) takes him to the third floor and leaves him at the mezzanine: A move where an offensive player pump-fakes a defender and draws a foul from the leaping player.

*( Video ) An experimental PDE operating with a detonation frequency of 1 Hz where the pulses are clearly defined.

*( ii ) where are separable over k.

*( 7 ) The pronouns are omitted in the spoken and written language, except only where to clear up the ambiguity and that is usually when the conjugated verbs look similar ( ex.

This follows since one has 2 < sup > d *( n )</ sup > dividing the sum of the unitary divisors of an odd number ( where d *( n ) is the number of distinct prime divisors of n ).

*( 1896 – 1970 ) Juan Czajkowski, Polish-Argentine journalist based in Posadas, capital of Misiones province where, for many years, he edited Polish-language newspaper, Orędownik

*( NBA only ) playing a " scratched " player ( a rule adopted in 2005 where up to two " scratches " are permissible on a 14-man roster )

*( 1 ) In the event where the president of the Republic of Moldova commits grave offenses infringing upon constitutional provisions, he may be suspended from office by Parliament if two-thirds of the members cast their vote in support of suspension.

The Hardball Times, a popular baseball statistics website, uses a slightly different FIP equation, instead using 3 *( BB + HBP-IBB ) rather than simply 3 *( BB ) where " HBP " stands for batters hit by pitch and " IBB " stands for intentional base on balls.

The directed feedback vertex set problem can still be solved in time O *( 1. 9977 < sup > n </ sup >), where n is the number of vertices in the given directed graph.

A group is of characteristic 2 type if the generalized Fitting subgroup F *( Y ) of every 2-local subgroup Y is a 2-group.

*( EF1 ) If a and b are in R and b is nonzero, then there are q and r in R such that and either r = 0 or.

*( Compacted is a combined edit of the Young Persons Guide and Broad.

Completely regular spaces can be characterized by the fact that their topology is completely determined by C ( X ) or C *( X ).

* A space X is completely regular if and only if it has the initial topology induced by C ( X ) or C *( X ).

*( plant ) Amaranthus retroflexus L. – " L ." is the standard abbreviation for " Linnaeus "; the absence of parentheses shows that this is his original name.

*( with Nicholas Cohen ), The growth of hunger: a new politics of agriculture, London: Boyars, 1980-This book is based on René Dumont ’ s ideas as contained in the 1975 publ.

*( BCT1 ) Every complete metric space is a Baire space.

*( BCT2 ) Every locally compact Hausdorff space is a Baire space.

*( BCT3 ) A non-empty complete metric space is NOT the countable union of nowhere-dense closed sets.

*( A < sub > 1 </ sub > ⊕ ··· ⊕ A < sub > n </ sub >, p < sub > k </ sub >) is a product for the A < sub > k </ sub >

*( A < sub > 1 </ sub > ⊕ ··· ⊕ A < sub > n </ sub >, i < sub > k </ sub >) is a coproduct for the A < sub > k </ sub >.

*( That player is in ) civilians: The player is not in uniform.

*( They ) couldn't beat the Sisters of Mercy: The team is getting beat badly.

*( They ) couldn't throw a pea into the ocean: The team's shooting is really awful.