; Closure: For all a, b in A, the result of the operation a • b is also in A.

; Associativity: For all a, b and c in A, the equation ( a • b ) • c = a • ( b • c ) holds.

; Commutativity: For all a, b in A, a • b = b • a.

Applying Lagrange's formula with the observation that Ω • r ( t ) = 0 at all times,

; Closure: For all a, b in S, the result of the operation a • b is also in S.

; Associativity: For all a, b and c in S, the equation ( a • b ) • c = a • ( b • c ) holds.

• address equality of opportunity for all men and women and include the needs and priorities of people with disability in development activities ( full text of Partnership agreement )

• Tablets must retain all of their functional attributes, which include drug stability and efficacy.

* Associativity: For all a, b and c in G, ( a • b ) • c = a • ( b • c ).

* Identity element: There exists an e ∈ G such that for all a in G, e • a

• Second, success in securing our homeland requires accurate and real time intelligence that is shared with all necessary stakeholders, whether they are at the local, state or federal level.

Equivalently a Heyting algebra is a residuated lattice whose monoid operation a • b is a ∧ b ; yet another definition is as a posetal cartesian closed category with all finite sums.

• Ranks first in giving among all bowl games —$ 3. 47 million in charitable and scholarship contributions in the last six years.

A condensed edition of the track ( without the Gilmour solos in both Part 2 and Part 3 ) would then open the second half of the shows on the group's 1994 The Division Bell and tour ( documented on P • U • L • S • E ) except on shows where all of The Dark Side of the Moon was performed when " Shine On " opened the first half and in the last month and a half of the tour the band added part 7 to Parts 1 – 5.

The most visibly cursed of all Kindred, the Embrace warps each Nosferatu into a hideously deformed creature ; the archetypal Nosferatu resembles Max Schreck's Count Orlok, though the curse has any number of variations.

* Embrace the principles and spirit of the KDR Gentleman, treating all those I encounter with dignity and respect ;

A mortal human being is turned into a vampire childe by the Embrace, during which the sire drains all of his / her blood and then gives him / her some of the sire's own blood.

As a matter of fact, we prize the diversity among our own people so much that we will not presume to speak for all other American artists.

This leads to the inquiry into the one being that underlies the diversity of empirical phenomena and the origin of all things.

The diversity of systems and phenomena available for study makes condensed matter physics the most active field of contemporary physics: one third of all American physicists identify themselves as condensed matter physicists, and The Division of Condensed Matter Physics ( DCMP ) is the largest division of the American Physical Society.

The turnover in this group is clearly marked at the species level .< ref > Statistical analysis of marine losses at this time suggests that the decrease in diversity was caused more by a sharp increase in extinctions than by a decrease in speciation .< ref > The K – T boundary record of dinoflagellates is not as well-understood, mainly because only microbial cysts provide a fossil record, and not all dinoflagellate species have cyst-forming stages, thereby likely causing diversity to be underestimated.

" Romare Bearden described Alston as "... one of the most versatile artists whose enormous skill led him to a diversity of styles ..." Bearden also describes the professionalism and impact that Alston had on Harlem and the African American community: "' was a consummate artist and a voice in the development of African American art who never doubted the excellence of all people's sensitivity and creative ability.

Haeckel proposes that all classes of vertebrates pass through an evolutionarily conserved “ phylotypic ” stage of development, a period of reduced phenotypic diversity among higher embryos.

In The Legal Basis of the Total State, Nazi political theorist Carl Schmitt described the Nazi intention to form a " strong state which guarantees a totality of political unity transcending all diversity " in order to avoid a " disastrous pluralism tearing the German people apart "

For subject matter jurisdiction, the claims in the case must either: ( 1 ) raise a Federal Question ( i. e., a cause of action or defense arising under the Constitution, a Federal statute, or the law of admiralty ); or have diversity of parties ( i. e., all of the defendants are from a different state than the Plaintiff ), and have an amount in controversy that exceeds a monetary threshold ( which changes from time to time, but is $ 75, 000 as of 2011 ).

Greenpeace states its goal is to " ensure the ability of the Earth to nurture life in all its diversity " and focuses its campaigning on world wide issues such as global warming, deforestation, overfishing, commercial whaling and anti-nuclear issues.

GPCRs respond to extracellular signals mediated by a huge diversity of agonists, ranging from proteins to biogenic amines to protons, but all transduce this signal via a mechanism of G-protein coupling.

In a sense the innovations of Jackson Pollock, Willem de Kooning, Franz Kline, Mark Rothko, Philip Guston, Hans Hofmann, Clyfford Still, Barnett Newman, Ad Reinhardt, Robert Motherwell, Peter Voulkos and others opened the floodgates to the diversity and scope of all the art that followed them.

Lunate microliths have the least diversity of all and may be either semicircular or segmental.

Participants can work on any or all of the edges ; citizenship, diversity awareness, leadership and real-world experience.

Eugene Odum, a founder of ecology, stated: " Any unit that includes all of the organisms ( ie: the " community ") in a given area interacting with the physical environment so that a flow of energy leads to clearly defined trophic structure, biotic diversity, and material cycles ( i. e.: exchange of materials between living and nonliving parts ) within the system is an ecosystem.

The opportunities that were previously afforded to those at the top of a bell curve are opened up to the diversity of all students, in a democratic vision, sometimes connected to social justice.

The word “ pear ”, or its equivalent, occurs in all the Celtic languages, while in Slavic and other dialects, differing appellations, still referring to the same thing, are found — a diversity and multiplicity of nomenclature which led Alphonse de Candolle to infer a very ancient cultivation of the tree from the shores of the Caspian to those of the Atlantic.

The game is also seen as having been key to expanding the Mario series into non-platforming games, where the main goal in platform games is when the hero has to rescue the damsel in distress ; this diversity has led to it become the best-selling game franchise of all time.

In fact, they're not really species, they all interbreed, but the names exist to express a real phenomenon which is this incredible morphological diversity.

Even if life were to cling on in all the ecological refuges listed above, a whole-Earth glaciation would result in a biota with a noticeably different diversity and composition.

As an illustration of artificial selection, he describes fancy pigeon breeding, noting that " he diversity of the breeds is something astonishing ", yet all were descended from one species of rock pigeon.

A wealth of Jobs would be created in the short run to feed a diversity of economic demands across all sectors of the economy.

Devils have a low genetic diversity compared to other Australian marsupials and placental carnivores ; this is consistent with a founder effect as allelic size ranges were low and nearly continuous throughout all subpopulations measured.

Initially developed with the theme of equal opportunity access and inclusion of students with learning or physical disabilities, the themes governing universal access to education have now expanded across all forms of ability and diversity.

In making an appeal to a toleration of diversity of theological opinion, John Wesley said, " Though we may not think alike, may we not all love alike?