* In arithmetic, addition and multiplication of real numbers are associative ; i. e.,

William Camden provided a definition of " Anagrammatisme " as " a dissolution of a name truly written into his letters, as his elements, and a new connection of it by artificial transposition, without addition, subtraction or change of any letter, into different words, making some perfect sense applyable ( i. e., applicable ) to the person named.

They have multiple off-label uses as an augmentation agent ( i. e. in addition to another medication ), for example in " treatment-resistant " depression or OCD.

" In addition to the lack of evidence, scientists cite the fact that Bigfoot is alleged to live in regions unusual for a large, nonhuman primate, i. e., temperate latitudes in the northern hemisphere ; all recognized nonhuman apes are found in the tropics of Africa and Asia ( although some smaller primates, such as Japanese macaques, are found in Asia up to the latitude of Northern California, and can cope with air temperatures to-20 ° C (- 4 ° F )).

Given any expression involving complex numbers, bras, kets, inner products, outer products, and / or linear operators ( but not addition ), written in bra-ket notation, the parenthetical groupings do not matter ( i. e., the associative property holds ).

In the early 20th century, before enzymology was well understood, colloids were thought to be the key to the operation of enzymes ; i. e., the addition of small quantities of an enzyme to a quantity of water would, in some fashion yet to be specified, subtly alter the properties of the water so that it would break down the enzyme's specific substrate, such as a solution of ATPase breaking down ATP.

Then, removing the catalyst would also result in reaction, producing energy ; i. e. the addition and its reverse process, removal, would both produce energy.

) In addition place bets are usually not working, except by agreement, when the shooter is " coming out " i. e. shooting for a point, and Big 6 and 8 bets always work.

Species in the Appendices may be proposed for addition, change of Appendix, or de-listing ( i. e., deletion ) by any Party, whether or not it is a range State and changes may be made despite objections by range States if there is sufficient ( 2 / 3 majority ) support for the listing.

However, his astronomical clock and rotating armillary sphere still relied on the use of flowing water ( i. e. hydraulics ), while European clockworks of the following centuries shed this old method for a more efficient driving power of weights, in addition to the escapement mechanism.

However, it is important to note that the patients in these studies received some form of spiritual healing ( i. e. not Christian Science ' treatment ') in addition to, not instead of, conventional medical care.

In addition, one complete turn of the cycle converts three equivalents of nicotinamide adenine dinucleotide ( NAD < sup >+</ sup >) into three equivalents of reduced NAD < sup >+</ sup > ( NADH ), one equivalent of ubiquinone ( Q ) into one equivalent of reduced ubiquinone ( QH < sub > 2 </ sub >), and one equivalent each of guanosine diphosphate ( GDP ) and inorganic phosphate ( P < sub > i </ sub >) into one equivalent of guanosine triphosphate ( GTP ).

In addition, certain appeal boards are given the statutory authority for contempt by them ( i. e. Residential Care Home, Hotel and Guesthouse Accommodation, Air Pollution Control, etc .).

In the Babbage design, one iteration i. e. one full set of addition and carry operations happens once for four rotations of the crank.

* d is the discount rate, which is i /( 1 + i ), i. e. the interest rate expressed as a deduction at the beginning of the year instead of an addition at the end of the year ;

In addition to optical fiber lasers, a large variety of medical applications ( i. e. dermatology, dentistry ) utilize the erbium ion's 2940 nm emission ( see Er: YAG laser ), which is highly absorbed in water in tissues, making its effect very superficial.

He believed that this new force was a form of electricity in addition to the " natural " form produced by lightning or by the electric eel and torpedo ray as well as the " artificial " form produced by friction ( i. e., static electricity ).

is the argument of z — i. e., the angle between the x axis and the vector z measured counterclockwise and in radians — which is defined up to addition of 2π.

In addition, many companies would often provide complementary goods and services free of charge ( i. e., on a complimentary basis ).

In addition, for the hydrogen atom, states of the same n but different ℓ are also degenerate ( i. e. they have the same energy ).

In addition, most of the states with limited recognition ( i. e., those that are not UN members ) are not Member States of the IAEA.

However, in 2002, Amnon Neeman and Pierre Deligne constructed an example of such a system in a category satisfying ( AB4 ) ( in addition to ( AB4 *)) with lim < sup > 1 </ sup > A < sub > i </ sub > ≠ 0.

In addition, when Lorenzo Da Ponte was in Prague preparing the production of Mozart's setting of his Don Giovanni, the poet was ordered back to Vienna for a royal wedding for which Salieri's Axur, re d ' Ormus would be performed.

In addition to the reviews above are the Revue Thomiste, founded by Père Thomas Coconnier ( d. 1908 ), and the Analecta Ordinis Prædicatorum ( 1893 ).

In addition to Chablis, it is found in the Côte d ' Or ( largely in the Côte de Beaune ) as well as the Côte Chalonnaise and Mâconnais.

At the Salon d ' Automne of the same year, in addition to the Indépendants group of Salle 41, were exhibited works by André Lhote, Marcel Duchamp, Jacques Villon, Roger de La Fresnaye, André Dunoyer de Segonzac and František Kupka.

In addition, their hearts are located on the right side of the torso, in between the ribs and pelvis, as Dr. McCoy once says about Spock: “ He is lucky that his heart is where his liver should be, or he ’ d be dead !” ( ST: TOS, A Private Little War )

See, in addition to the memoirs of the time, especially the of Grimm, Diderot, d ' Alembert and others ( new ed -, Paris, 1878 ); Ch.

Despite the addition of " d ' Estaing " to the family name by his grandfather, Giscard is not descended from the extinct noble family of Vice-Admiral d ' Estaing, that name being adopted by his grandfather in 1922 by reason of a distant connection to another branch of that family, from which they were descended with two breaks in the male line from an illegitimate line of the Viscounts d ' Estaing.

In addition to Castilian Spanish being the primary official language of Spain, the kingdom also has several co-official regional languages which enjoy equal and unbiased constitutional protection and promotion: Catalan / Valencian ( in Catalonia, Valencia and the Balearic Islands ), Galician ( in Galicia ), Basque ( in the Basque Country and Navarre ) and Aranese ( in Val d ' Aran, Catalonia ).

In addition to the title song, the album included " Vesoul ", " Je suis un soir d ’ été " ( I am a summer's eve ), and " Un enfant " ( A child ).

In addition, the application of MCD spectroscopy greatly improved the level of understanding in the ferrous non-heme systems because of the direct observation of the d – d transitions, which generally can not be obtained in optical absorption spectroscopy owing to the weak extinction coefficients and are often electron paramagnetic resonance silent due to relatively large ground-state sublevel splittings and fast relaxation times.

In addition to Honors and Advanced Placement courses, Coeur d ' Alene and Lake City High Schools began offering the International Baccalaureate Diploma Program, and two of the elementary schools are implementing the IB Primary Years Program.

This equivalence relation is compatible with the addition and multiplication defined above, and we may define Z to be the quotient set N² /~, i. e. we identify two pairs ( a, b ) and ( c, d ) if they are equivalent in the above sense.

The list below represents the Committee's membership from the addition of Collot d ' Herbois and Billaud-Varenne in September 1793 through the arrest of Hérault de Séchelles in March 1794.

La Borderie replied in L ' Amie de cour with a description of a very much more human woman, and Charles Fontaine contributed a Contr ' amye de court to the dispute, Héroet, in addition to some translations from the classics, wrote the Complainte d ' une dame nouvellement surprise d ' amour, an Epistre a François Ier, and some pieces included in the now very rare Opuscules d ' amour par Héroet, La Borderie et autres divins poetes ( Lyons, 1547 ).

" In addition, throughout the war England's claims to the Hudson Bay had been severely contested in a series of French expeditions culminating in Pierre Le Moyne d ' Iberville's capture of York Factory shortly before the signing of the treaty.

So the complex numbers form a two-dimensional real vector space, where addition is given by ( a, b ) + ( c, d )

By 1983, in addition to becoming the first Canadian artist to receive a gold record in France for the single " D ' amour ou d ' amitié " (" Of Love or of Friendship "), Dion had also won several Félix Awards, including " Best Female performer " and " Discovery of the Year ".

Photosynthesis is achieved using bacteriochlorophyll ( BChl ) c, d, or e, in addition to BChl a and chlorophyll a, in chlorosomes attached to the membrane.

In addition to the authentication and acknowledgment procedures which precede and follow the sending of the go messages, again in special codes, each message also contains an `` internal authenticator '', another specific signal to convince the recipient that he is getting the real thing.

In addition, they have been converted to Zen Buddhism, with its glorification of all that is `` natural '' and mysteriously alive, the sense that everything in the world is flowing.

In addition to his experiments in reading poetry to jazz, Patchen is beginning to use the figure of the modern jazz musician as a myth hero in the same way he used the figure of the private detective a decade ago.

In addition, the motor has the seal of approval of the Underwriters Laboratories, which means it is safe.

In addition, it is small enough to get into crevices, jacket and crown margins, malposed anteriors, and the back teeth.

In addition to its major effort on fuel cells, Patterson Moos Research Division is continuing to carry on research in other fields, both under contract for the Defense Department, other government agencies and for our own account.

A salad with greens and tomato is a popular and wonderfully healthful addition to a meal, but add an avocado and you have something really special.

-- In addition to its recreation interests, water is needed for drinking, sanitation, and irrigation.

The addition of endurance training later, when the body is mature enough to benefit from it without danger of injury, provides that final quality that makes the top athlete, soldier or citizen.

In addition, many of the hard-surface cleaners used for walls and woodwork had their genesis in trisodium orthophosphate, which is still the major ingredient of a number of such products.

In addition, the iodoamino acid formed in largest quantity in the intact thyroid is di-iodotyrosine.

In addition to the incompleteness of science and the completeness of metaphysics, they differ in that science is essentially descriptive, while philosophy in its inherited forms, tends to be goal-oriented, teleological and prescriptive.

In addition, it is an important link in the plot, giving us a revealing glimpse of the people's attitude toward Boris and the false Dimitri.

Furthermore, the hydrolysis of paraoxon was studied in mammalian sera, and it was found that it is hydrolyzed by albumin ( or a factor attached to it ) in addition to arylesterase.

In addition, the cutoff frequency for input accelerations is approximately proportional to the servo loop gain ; ;

You still have your paper hat and you're wearing it, but then, it is an extraordinary paper hat and, in addition to anything else you may be, you are also the sculptor who created that most peculiar dame out in the back yard.

In addition, Mr. and Mrs. Allan Goodman are controllers, Mrs. Paul Stone is treasurer and Mrs. Albert Quell is in charge of admittance for the dancing at 9 P.m..

In addition, disclosures that missile workers were earning sums far in excess of what is paid for equivalent work elsewhere provoked his indignation on behalf of the American taxpayer who was footing the bill.

The problem becomes even more complex where an enterprise is engaged in the manufacture of a wide variety of other goods in addition to the heavy electrical equipment.

But it is most interesting in its account of the unending problems of high command, of decisions and their reasons, of the myriad matters that demand attention in addition to battle action.

Mrs. Reavey's work is written for the stage -- it is mentioned for an off-Broadway production in the fall -- and, in addition, employs an avant-garde structure that particularly needs to be seen if comprehension is to be encouraged.