* Devlin RH, Sundstrom LF, Muir WM.

Some aqueous solutions can be supercooled into a glassy state, for instance LiCl: RH < sub > 2 </ sub > O in the composition range 4 < R < 8.

The medal features a profile of Nevanlinna, the text " Rolf Nevanlinna Prize ", and very small characters " RH 83 " on its obverse.

RH refers to Raimo Heino, the medal's designer, and 83 to the year of first minting.

( 1 ) aggregate containing an alkali-reactive constituent ( amorphous silica ), ( 2 ) sufficient availability of hydroxyl ions ( OH < sup >-</ sup >), and ( 3 ) sufficient moisture, above 75 % relative humidity ( RH ) within the concrete.

RH can also be written: ≥ ( The notation: x ≥ y means that x inherits the permissions of y.

In June 2004, de Branges announced he had a proof of the Riemann hypothesis ( RH ; often called the greatest unsolved problem in mathematics ) and published the 124-page proof on his website.

The main objection to his approach comes from a 1998 paper ( published two years later ) authored by Brian Conrey and Xian-Jin Li, one of de Branges's former Ph. D. students and discoverer of Li's criterion, a notable equivalent statement of RH.

The paper which, contrarily to de Branges's claimed proof, was peer-reviewed and published in a scientific journal gives numerical counterexamples and non-numerical counterclaims to some positivity conditions concerning Hilbert spaces which would, according to previous demonstrations by de Branges, imply the correctness of RH.

In a 2003 technical comment, Conrey states he does not believe RH is going to yield to functional analysis tools.

De Branges, incidentally, also claims that his new proof represents a simplification of the arguments present in the removed paper on the classical RH, and insists that number theorists will have no trouble checking it.

The second, more substantial reredos was installed in 1884 and designed by RH Carpenter.

Rush County ( standard abbreviation: RH ) is a county located in the U. S. state of Kansas.

The ' Outward ' part of the postcode denotes the postal district-for example RH for the Redhill area, and then the following number distinguishes the post town – broadly speaking the Delivery Office that services the local area.

In this case, RH also covers north Sussex, and has little to do with Redhill historically, apart from the railway links.

* His / Her Imperial and Royal Highness ( abbreviation HI & RH, oral address Your Imperial and Royal Highness ) — Archdukes of the House of Habsburg, the German Crown Prince, German Crown Princess and members of the Brazilian Imperial Family ; also women with one style by birth and the other by marriage.

After a long period of inactivity, D ' Angelo made guest appearances on several albums, including releases by J Dilla, Common, Red Hot & Riot, and the RH Factor.

RH Charles in 1913 wrote: " This kingdom was to be ruled over by a Messiah sprung, not from Levi — that is, from the Maccabean family — as some of his contemporaries expected — but from Judah.

For many years Gundle models were built alongside the Pashley range, before being absorbed into the Pashley RH range.

The RH range was named after Rath's local public house-' The Robin Hood ' in Hall Green.

The question remains whether both can have zero entropy at T = 0 even though each is perfectly ordered.

where A is a 2 × 2 orthogonal matrix and b = ( b < sub > 1 </ sub >, b < sub > 2 </ sub >) is an arbitrary ordered pair of numbers ; that is,

The order in which the objects appear in the pair is significant: the ordered pair ( a, b ) is different from the ordered pair ( b, a ) unless a = b.

* the field of real rational functions, where p ( x ) and q ( x ), are polynomials with real coefficients, can be made into an ordered field where the polynomial p ( x ) = x is greater than any constant polynomial, by defining that whenever, for.

The more general crystal structure describes materials of the type A < sub > 2 </ sub > B < sub > 2 </ sub > O < sub > 6 </ sub > and A < sub > 2 </ sub > B < sub > 2 </ sub > O < sub > 7 </ sub > where the A and B species are generally rare-earth or transition metal species ; e. g. Y < sub > 2 </ sub > Ti < sub > 2 </ sub > O < sub > 7 </ sub >. The pyrochlore structure is a super structure derivative of the simple fluorite structure ( AO < sub > 2 </ sub > = A < sub > 4 </ sub > O < sub > 8 </ sub >, where the A and B cations are ordered along the < 110 > direction.

* A typical example of a partially ordered group is Z < sup > n </ sup >, where the group operation is componentwise addition, and we write ( a < sub > 1 </ sub >,..., a < sub > n </ sub >) ≤ ( b < sub > 1 </ sub >,..., b < sub > n </ sub >) if and only if a < sub > i </ sub > ≤ b < sub > i </ sub > ( in the usual order of integers ) for all i = 1 ,..., n.

In the example above, f ( x ) = x < sup > 2 </ sup >, we have the ordered pair (− 3, 9 ).

For example, we could define a function using the rule f ( x ) = x < sup > 2 </ sup > by saying that the domain and codomain are the real numbers, and that the ordered pairs are all pairs of real numbers ( x, x < sup > 2 </ sup >).

Among these aircraft were a number of CR. 42s. German Rüstungs-und-Kriegsproduktion Stab took control of Italy's northern aircraft industry, and ordered 200 CR. 42LW ( LW = Luftwaffe ) from Fiat for the Luftwaffe, to use in night harassment and anti-partisan roles.

A set with a binary relation R on its elements that is reflexive ( for all a in the set, aRa ), antisymmetric ( if aRb and bRa, then a = b ) and transitive ( if aRb and bRc, then aRc ) is described as a partially ordered set or poset.

On May 22, even before the Americans had been completely driven from the province, Carleton ordered a survey to identify the Canadiens | doi = | ref = Black

For every element a of a linearly ordered group G either a ∈ G < sub >+</ sub >, or − a ∈ G < sub >+</ sub >, or a = 0.

In truncation selection the candidate solutions are ordered by fitness, and some proportion, p, ( e. g. p = 1 / 2, 1 / 3, etc.

Mathematically, a vector x in an n-dimensional Euclidean space can be defined as an ordered list of n real numbers ( the Cartesian coordinates of P ): x = x < sub > 2 </ sub >, ..., x < sub > n </ sub >.

Now these elements can be ordered based on the prefix order of words: a decimal number n is below some other number m if there is some string of digits w such that nw = m. For example, 0. 2 is below 0. 234, since one can obtain the latter by appending the string " 34 " to 0. 2.

In mathematics, given two partially ordered sets P and Q a function between them is Scott-continuous ( named after the mathematician Dana Scott ) if it preserves all directed suprema, i. e. if for every directed subset D of P with supremum in P its image has a supremum in Q, and that supremum is the image of the supremum of D: sup f ( D ) = f ( sup D ).

GFS2 also supports < tt > data = ordered </ tt > mode which is similar to < tt > data = writeback </ tt > except that dirty data is synced before each journal flush is completed.

The default journaling mode is < tt > data = ordered </ tt >, to match ext3's default.

* There is a totally ordered abelian group G ( called the value group ) and a surjective group homomorphism ( called the valuation ) ν: K < sup >×</ sup >→ G with D =

Then the factor algebra A = C ( X )/ P is by definition an integral domain which is a real algebra and which can be seen to be totally ordered.

If F is an ordered field ( not just orderable, but a definite ordering is fixed as part of the structure ), the Artin – Schreier theorem states that F has an algebraic extension, called the real closure K of F, such that K is a real closed field whose ordering is an extension of the given ordering on F, and is unique up to a unique isomorphism of fields ( note that every ring homomorphism between real closed fields automatically is order preserving, because x ≤ y if and only if ∃ z y = x + z < sup > 2 </ sup >).