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addition and inner
In addition, the inner surface of the carbon shield was covered with aluminum foil to reduce radiation.
Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.
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, Jurema ( Mimosa tenuiflora ) shows evidence of DMT content: the pink layer in the inner rootbark of this small tree contains a high concentration of N, N-DMT.
In mathematical analysis, an isomorphism between two Hilbert spaces is a bijection preserving addition, scalar multiplication, and inner product.
In addition, the inner membrane is rich in an unusual phospholipid, cardiolipin.
In addition, there is a membrane potential across the inner membrane, formed by the action of the enzymes of the electron transport chain.
Targeting to the outer membrane, intermembrane space, and inner membrane often requires another signal sequence in addition to the matrix targeting sequence.
Random vectors can be subjected to the same kinds of algebraic operations as can non-random vectors: addition, subtraction, multiplication by a scalar, and the taking of inner products.
The inner structure of a commutative ring is determined by considering its ideals, i. e. nonempty subsets that are closed under multiplication with arbitrary ring elements and addition: for all r in R, i and j in I, both ri and i + j are required to be in I.
A $ 2 billion project to redevelop Melbourne's derelict Docklands area to include a new football stadium was also undertaken, in addition to the large CityLink project, a project resurrected from the 1969 Melbourne Transportation Plan, aimed at linking Melbourne's freeways, easing traffic problems in the inner city, and reducing commuting times from the outer suburbs to the CBD.
In addition to its familiar geometric structure, with isomorphisms that are isometries with respect to the usual inner product, the plane may be viewed at various other levels of abstraction.
In the process, it binds four protons from the inner aqueous phase to make water, and in addition translocates four protons across the membrane, helping to establish a transmembrane difference of proton electrochemical potential that the ATP synthase then uses to synthesize ATP.
A new addition to the Nome facility in 2005 was a concrete barge ramp located inside the inner harbor just west of the Snake River entrance.
It offers camps during the summer for locals, in addition to a camp for inner city kids.
In addition to opposing jaws, living gnathostomes also have teeth, paired appendages, and a horizontal semicircular canal of the inner ear, along with physiological and cellular anatomical characters such as the myelin sheathes of neurons.
The addition of small quantities of phosphate ion and increasing the pH slightly both assist in greatly reducing plumbo-solvency by creating insoluble lead salts on the inner surfaces of the pipes.
* Cancellation of signal: In addition, many AM stations, including but not limited to the clear channel stations, often experience cancellation of their own signals within the inner and outer fringes of their normal groundwave coverage areas at nighttime due to the stations ' individual skywave signals reaching the listeners ' receivers at or near equal strength to the stations ' individual groundwave signals ; this phenomenon is very similar to the multipath interference experienced on FM Radio in the VHF band within mountainous regions and urban areas due to signals bouncing off of mountains, buildings, and other structures, except that the groundwave-skywave cancellation occurs almost exclusively at nighttime when skywave propagation is present.
Hunter contributes to many charities, including the " Torii Hunter Project Education Initiative ," which provides college scholarships to students in California, Arkansas, Nevada and Minnesota, the Andre Agassi College Preparatory Academy in Las Vegas, a partnership with Major League Baseball to help maintain and improve baseball diamonds in inner cities, the Big Brothers and the Prostate Cancer Foundation, and in addition, Hunter helped fund construction of a youth softball field in Placentia, California in 2008.
In addition to the inner city shopping centres, large UK conurbations will also have large out-of-town " regional malls " such as Meadowhall, Sheffield serving South Yorkshire, the Trafford Centre in Greater Manchester and Bluewater in Kent.
Towards the end of inhalation the bellows bottoms out and activates an addition valve, in much the way that a regulator diaphragm activates the demand valve, to make up the gas discharged by the inner bellows.
In reptiles and birds, the ciliary body touches the lens with a number of pads on its inner surface, in addition to the zonular fibres.
In addition to these water coasters, the New Braunfels park now boasts over 3 miles ( 5 km ) of inner tube rides, 7 water playgrounds for children, 17 water slides, 9 tube chutes, and the world's first surfing machine ( Boogie Bahn, which is used by both professionals and casual visitors ).
In the second formula, the inner summation in the right hand side is only extended over indices within bounds, 0 ≤ i ≤ m and 0 ≤ j ≤ n. Alternative expressions of addition and multiplication, without using explicit bounds in the sums, are as follows:
The central ring canal, in addition to connecting the radial canals to each other and to the stone canal, also has a number of other specialised structures on the inner surface.

addition and ear
In addition to the deafness caused by years of motor racing without adequate ear protection, his eyesight is reduced due to macular degeneration and he has kidney disease for which by 2009 he was receiving dialysis three times a week.
In addition, these babies have worse immune systems, making them more susceptible to many diseases in early childhood, such as middle ear inflammations and asthmatic bronchitis which can bring about a lot of agony and suffering.
In addition, the vast majority of ear piercing instruments are made of plastic, which means they can never be truly sterilized by use of an Autoclave, increasing chance of infection exponentially.
Freud suspected, in addition to hysteria, a " nasal reflex neurosis ", a condition popularized by his friend and collaborator Wilhelm Fliess, an ear, nose, and throat specialist.
A man who wears jasmine on his left ear indicates that he is single and in addition, offering white jasmine is seen as a proof of love while on the contrary, offering odorless winter jasmine is a sign of insolence.
In addition, many schools teach composition and ear training.
In addition, wind may increase the prevalence of the amount of exostosis seen in one ear versus the other dependent on the direction it originates from and the orientation of the individual to the wind.
The patient is protected from acute frostbite with socks, gloves and mouth and ear protection, but in addition to that, wears nothing but a bathing suit.
In addition, users found that if a longer ear tube on the MS-50, the headband could hang around the user's neck.
Throughout his writings there are many resources for divination, in addition to astrology, including several rituals for looking in mirrors ( pra-mo ), one using dice ( mo ), pulling different-length ' arrows ' ( Wylie: da dar ) out of a quiver and so on, compelling a non-human " bird " to whisper future news in one's ear, and so on.
In addition to its top 10-ranked specialty, Yale-New Haven also ranked among the very best in the nation in nine additional medical specialties: cancer (# 35 ); heart & heart surgery (# 32 ); ear, nose & throat (# 48 ); digestive disorders (# 28 ); geriatric care (# 20 ); gynecology (# 13 ); nephrology (# 30 ); psychiatry (# 11 ); and pulmonology (# 24 ).

addition and contains
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 to the reference, the Doctrine and Covenants contains numerous references to the anointing and healing of the sick by those with authority to do so.
In addition, a consistent formal theory that contains the first-order theory of the natural numbers
* Arsenical brass contains an addition of arsenic and frequently aluminium and is used for boiler fireboxes.
The ALU contains the circuitry to perform simple arithmetic and logical operations on the inputs ( like addition and bitwise operations ).
Centaurus contains several very bright stars because of its position in the Milky Way ; in addition, its alpha and beta stars are used to find the constellation Crux.
In addition to souvenirs of Monet and other objects of his life, the house contains his collection of Japanese woodcut prints.
In addition, each chakra has a number of ' spokes ' or ' petals ', which branch off into thousands of subtle channels running to every part of the body, and each contains a Sanskrit syllable.
Although many Canadian whiskies are still labelled as “ rye ”, the modern mash bill for a Canadian “ rye ” whisky often contains little or no rye grain, and their flavour is derived in other ways ( such as flavour development from the aging process, blending with stronger-tasting Canadian whiskies, and the addition of flavourings ).
In addition to the normal supporting microtubules or axoneme, each contains a rod ( called paraxonemal ), which has a tubular structure in one flagellum and a latticed structure in the other.
The group was once much larger, and, in addition to the thirteen species living today, also contains eleven extinct species in six genera.
The Quran contains only three verses that give specific details of inheritance and shares, in addition to few other verses dealing with testamentary.
This may be reflected in the difficulty of smoking cessation, as tobacco contains naturally-occurring MAOI compounds in addition to the nicotine.
The latter contains pagan poetry where the norns are frequently referred to, while the former contains, in addition to pagan poetry, retellings, descriptions and commentaries by the 12th and 13th century Icelandic chieftain and scholar Snorri Sturluson.
In addition, animal biochemistry contains many small molecule intermediates which assist in energy production through the Krebs cycle, and produces isoprene, the most common hydrocarbon in animals.
The operand '( 3 + 5 )' is an expression in itself, which contains an addition operator, with the operands ' 3 ' and ' 5 '.
The signature of Presburger arithmetic contains only the addition operation and equality, omitting the multiplication operation entirely.
The language of Presburger arithmetic contains constants 0 and 1 and a binary function +, interpreted as addition.
In addition to these variants and profiles, the SVG Print specification ( still a Working Draft ) contains guidelines for printable SVG 1. 2 and SVG Tiny 1. 2 documents.
In addition, as the name implies, the spectrum of particles contains only bosons, particles which, like the photon, obey particular rules of behavior.
The Sri Guru Granth Sahib, in addition to the revelations of the Sikh gurus, contains revelations of various saints and sages of that period.
In addition to the six Orders, the Talmud contains a series of short treatises of a later date, usually printed at the end of Seder Nezikin.
In addition, trypsin contains an " oxyanion hole " formed by the backbone amide hydrogen atoms of Gly-193 and Ser-195, which serves to stabilize the developing negative charge on the carbonyl oxygen atom of the cleaved amides.

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