* 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 addition, i ) d is the smallest positive integer that can be written as

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.

Montero had set up a strong position, using every bale and box we had in addition to barricades of logs and brush.

They'd peddled the soap virtually alone, and without much success, until about a year ago, when -- with the addition of `` SX-21 '' to their secret formula and the inauguration of a high-powered advertising campaign -- sales had soared practically into orbit.

Present at the scene -- in addition to the dead man, who was indeed Louis Thor -- had been Thor's partner Bill Blake, and Antony Rose, an advertising agency executive who handled the zing account.

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 Frankfurt, too, he directed the Museum and Opera House concerts which, in addition to the standard repertoire, featured novelties like Erdmann's Piano Concerto and Mahler's Sixth Symphony.

In addition, our way of dealing directly with natural phenomena has also changed.

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.

The networks for military communications are one of the best examples of networks which not only must be changed with the changes in objectives but also must be changed with the addition of new machines of war.

Besides showing no inclination, apparently, to absent himself from his native region even for short periods, and in addition writing a shelf of books set in the region, he has handled in those books an astonishingly complete list of matters which have been important in the South during the past hundred years.

In addition, he believed in the `` dramatic unity and separateness of the period from 1702-14, lying between the Stuart and Hanoverian eras with a special ethos of its own ''.

In addition, his definition of a tragedy invites our attention, because a serious and important action may very well be one that tests the moral fiber of the author or of the characters.

In addition, the 1952 study collected comparable data from 4,585 students at ten other colleges and universities scattered across the country: Dartmouth, Harvard, Yale, Wesleyan, North Carolina, Fisk, Texas, University of California at Los Angeles, Wayne, and Michigan.

There was much sickness in the corps, and the men were, in addition, without the clothing, shoes, and blankets needed for the winter weather.

In addition, there are many areas of the human situation besides the impact of science and technology which are examined, for science-fiction dystopias often extrapolate political, social, economic tendencies only indirectly related to science and technology.

In San Francisco he has worked with Brew Moore, Charlie Mingus, and other `` swinging '' musicians of secure reputation, thus placing himself within established jazz traditions, in addition to being a part of the San Francisco `` School ''.

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 Rep. Frelinghuysen's brother Harry was on the Korean desk of the State Department in World War 2.

In addition, he said, he has answered more than 400 messages of congratulations which led him to the comment that he himself had decided he wouldn't send another congratulatory message for the rest of his life.

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.

Warren and White each carried, in addition to their own weapons and ammo, a box of ammo for the ROK's machine gun.

And this in addition to his usual fear of being among people of high society, his fear of making some inane or inappropriate remark.

In addition, the SBA uses such criteria as number of employees and dollar volume of the business.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

In addition to the regular schedule, advertisements were run for maximum impact in special editions of the New York Times, Boston Herald, American Banker, Electronic News and, for local promotion, the Providence Sunday Journal.