In it can be proven that if any of the factors above can be represented as a product, e. g. 2 = ab, then one of a or b must be a unit.

g ' ab er ' ash ), gab ar ais ( pron.

: g ( ab )

Exempted from change are certain very common short-vowelled words which end in a single's ' ( such as das, es ), echoing other undoubled final consonants in German ( e. g. ab, im, an, hat ,-ig ).

Analytical ab initio software for poly-atomic molecules has been developed e. g. STOP: a Slater Type Orbital Package in 1996 .< ref >

He believed that the script was essentially syllabic, comprising open syllables ( e. g. " ab " or " ki ") as well as more complex closed syllables ( e. g. " mur ").

Third level registrations in one of the geographic third-level domains defined by the registry ( e. g. example. ab. ca ) were discontinued on October 12, 2010, but existing third-level domain names will continue to be supported.

( g < sub > ab </ sub > is the metric tensor that defines lengths of vectors and inner products of pairs of vectors ).

While primitive robot toy models only execute standardized pre-programmed routines, sometimes little more than a wind-up toy could do, advancing technology allows for interaction with the user and / or other environmental stimuli ( e. g. sensor-detected obstacles ), thus somewhat resembling a live playmate, but which has no feelings and will thus always remain inferior to a pet, while more convenient as it may be ( ab ) used with impunity and has low maintenance.

e. g. "" would match " ab " in " ababab ", where "" would match the entire string.

Let g: π < sup > ab </ sup > → π < sup > ab </ sup >/ tor be the quotient by torsion.

In German, words starting with sch-( constituting the German phoneme ) would be intercalated between words with initial sca-and sci-( all incidentally loanwords ) instead of this graphic cluster appearing after the letter s, as though it were a single letter — a lexicographical policy which would be de rigueur in a dictionary of Albanian, i. e. dh -, ë -, gj -, ll -, rr -, th -, xh-and zh-( all representing phonemes and considered separate single letters ) would follow the letters d, e, g, l, n, r, t, x and z respectively.

E. g., if n

E. g., if n =

E. g., if n

Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.

Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula

An element of water volume on the surface is shown to be subject to three forces: the vertical force due to gravity F < sub > g </ sub >, the horizontal, radially outward centrifugal force F < sub > Cfgl </ sub >, and the force normal to the surface of the water F < sub > n </ sub > due to the rest of the water surrounding the selected element of surface.

The questions range from counting ( e. g., the number of graphs on n vertices with k edges ) to structural ( e. g., which graphs contain Hamiltonian cycles ) to algebraic questions ( e. g., given a graph G and two numbers x and y, does the Tutte polynomial T < sub > G </ sub >( x, y ) have a combinatorial interpretation ?).

The n-th century started / will start on the year ( 100 × n ) − 99 and ends in 100 × n. A century will only include one year, the centennial year, that starts with the century's number ( e. g. 1900 is the final year in the 19th century ).

If k, m, and n are 1, so that and, then the Jacobian matrices of f and g are.

) The exterior derivative of a k-form in R < sup > 3 </ sup > is defined as the ( k + 1 )- form from above ( and in R < sup > n </ sup > if, e. g., < math >

Altruism is a motivation to provide something of value to a party who must be anyone but oneself, while duty focuses on a moral obligation towards a specific individual ( e. g., a god, a king ), or collective ( e. g., a government ).

Pure altruism consists of sacrificing something for someone other than the self ( e. g. sacrificing time, energy or possessions ) with no expectation of any compensation or benefits, either direct, or indirect ( e. g., receiving recognition for the act of giving ).

Several hundred frog species in adaptive radiations ( e. g., Eleutherodactylus, the Pacific Platymantines, the Australo-Papuan microhylids, and many other tropical frogs ), however, do not need any water for breeding in the wild.

Compound comparisons typically compare two sets of groups means where one set has two or more groups ( e. g., compare average group means of group A, B and C with group D ).

* Repeated measures ANOVA is used when the same subjects are used for each treatment ( e. g., in a longitudinal study ).

The number of carbon atoms is used to define the size of the alkane ( e. g., C < sub > 2 </ sub >- alkane ).

Saturated hydrocarbons can also combine any of the linear, cyclic ( e. g., polycyclic ) and branching structures, and they are still alkanes ( no general formula ) as long as they are acyclic ( i. e., having no loops ). They also have single covalent bonds between their carbons.

Thus, although some things may be certain, they have little to do with Dasein's sense of care and existential anxiety, e. g., in the face of death.

Traditional printed sources are subtitled by the ' epoch year, which refers to the positions of celestial objects at a given time to the nearest year ( e. g., J2005, J2007 ).

Most such printed sources have been updated for intervals of only about every fifty years ( e. g., J1900, J1950, J2000 ).

A relatively recent role for amateur astronomers is searching for overlooked phenomena ( e. g., Kreutz Sungrazers ) in the vast libraries of digital images and other data captured by Earth and space based observatories, much of which is available over the Internet.

The practical definition may lead to confusion with the definition of a coulomb ( i. e., 1 amp-second ), but in practical terms this means that measures of a constant current ( e. g., the nominal flow of charge per second through a simple circuit ) will be defined in amperes ( e. g., " a 20 mA circuit ") and the flow of charge through a circuit over a period of time will be defined in coulombs ( e. g., " a variable-current circuit that flows a total of 10 coulombs over 5 seconds ").

* New. net ( hijacker ): A browser plugin that lets you access several of its own unofficial Top Level Domain names, e. g.,. chat and. shop.

The LANrev software disabled the webcams for all other uses ( e. g., students were unable to use Photo Booth or video chat ), so most students mistakenly believed their webcams did not work at all.

While there is a growing body of literature on sociolinguistic variation in French chat for example, other forms of computer mediated communication ( e. g. discussion fora, weblogs, etc.

* Online chat between two or occasionally more users of a display-based communications system, e. g. Internet chat room or instant messaging system, communication between users connected to a remote and a host system

** Enclosing a phrase between two asterisks is used to denote an action the user is " performing ", e. g. < tt >* pulls out a paper *</ tt >, although this usage is also common on forums, and less so on most chat rooms due to / me or similar commands.

During the late 1960s and early 1970s, some of these shops selling hippie items also became cafés where hippies could hang out, chat, smoke marijuana, read books, etc., e. g. Gandalf's Garden in the Kings Road, Chelsea, London, which also published a magazine of the same name.

The word chatiquette has been used in connection with various chat systems ( e. g. IRC ) since 1995.

Some non-Internet forms include telephone, fax, PDA, SMS text messaging, MMS, wireless networks and services, Bluetooth, CCTV, tracking systems, RFID, biometric identification, road traffic management and regulatory enforcement, identity cards, smart cards and other Near Field Communication applications ; polling station technology ( where non-online e-voting is being considered ), TV and radio-based delivery of government services ( e. g., CSMW ), email, online community facilities, newsgroups and electronic mailing lists, online chat, and instant messaging technologies.

To express prices in spoken Cantonese, for example $ 7. 80, the phrase is 七個八 ( chat go baat, seven units and eight ); in financial terms, where integer values in cents exist, e. g., $ 6. 75, the phrase is 六個七毫半 ( luhk go chat houh bun, six and seven " houh " half ) in Yale Romanisation sounds like the American pronunciation of " boon " ( fives in cents is normally expressed as " half ", unless followed by another five, such as 55 cents when preceded by a dollar value ); $ 7. 08 is 七蚊零八仙 ( seven dollars " ling " ( zero ) eight cents ).

While the term has traditionally referred to those communications that occur via computer-mediated formats ( e. g., instant messages, e-mails, chat rooms ), it has also been applied to other forms of text-based interaction such as text messaging.

Such tools include Virtual Classrooms ( i. e. geographically distributed classrooms linked by audio-visual network connections ), chat, discussion threads, application sharing ( e. g. a colleague projects spreadsheet on another colleague ’ s screen across a network link for the purpose of collaboration ), among many others.

Examples include: upload bandwidth limiting ( many users feel that upload bandwidth limiting is a form of cheating, while other users not using a full-duplex network connection can only achieve reasonable download speeds by limiting uploads ), colorized chat, specialized operator functions ( e. g. client / share checking ).

. pw will host domain names at the 2nd level ( e. g. mail. pw, chat. pw etc.

Bots may also be implemented where a response speed faster than that of humans is required ( e. g., video gaming bots and auction-site robots ) or less commonly in situations where the emulation of human activity is required, for example chat bots.

Such an emphasis on tools was necessary in the early development years of scientific collaboratories due to the lack of basic collaboration tools ( e. g. text chat, synchronous audio or videoconferencing ) to support rudimentary levels of communication and interaction.

Computer-supported collaboration ( CSC ) research focuses on technology that affects groups, organizations, communities and societies, e. g., voice mail and text chat.