For any real number the absolute value or modulus of is denoted by ( a vertical bar on each side of the quantity ) and is defined as

" Early redemption penalties " were ( and still are ) often based on a penalty of x months of interest / payment ; again no real bar to paying off what had been a large loan.

Patrons were required to sign their names in a book to prove that the bar was a private " bottle club ", but rarely signed their real names.

Santa's Little Helper has made an impact on real life in that an espresso-based drink has been named after him at the award-winning restaurant and bar Bambara in Salt Lake City's Hotel Monaco.

Today however, it is more usual to stand at the bar in the early evening and watch foxes strolling by quite unfazed by the punters supping their pints of real ale at the tables and benches out front .< ref >

Besides nearby downtown Ojai, Oak View is the only other town in the Ojai Valley with a discernible " downtown ", which has developed along the Ventura Avenue / Highway 33 corridor, and includes a post office, a grocery store and a grocery mart, one bank, a Thai restaurant, a coffee house / restaurant, a Mexican restaurant, a pizza parlor, two automobile repair shops, two tire shops, two self-serve gasoline stations, two coffee shops, a computer repair shop, an equipment rental yard, several hair stylists, a pet supplies store, a bar, a liquor store, a walk-in medical office, a real estate office, a car wash, a laundromat, a used car dealership, a tanning salon, a Sheriff's post, a video store, and other service and retail oriented businesses.

Soon the real action moved to the newer nightlife areas of Nana Plaza and Soi Cowboy, which today far outdo Patpong as go-go bar strips.

The chin bar of those helmets offer real protection and they can be used in the " open " position while riding.

While the two Grand Lodges ignored each other at an official level, there does not appear to have been any real animosity, with no bar on masons visiting lodges in the competing jurisdiction.

Upon eating a Snickers bar, Lewis transforms into the real logger, " Tony ", and he and his coworker watch another worker ( Barr ) complain about back pain before being hit with a log on a cable.

The only real possibility of confusion is with the similar-looking Hume's Leaf Warbler ( P. humei ), which in the limited area of overlap has duller colours, a faint second wing bar and dark legs and lower mandible.

Page returns to Jack, giving him back the bar he'd had to sell to pay the settlement, and tells him her real name.

Her real name is Aldonza Lorenzo, and Sancho describes her as follows: "… I can tell you that she pitches a bar as well as the strongest lad in the whole village … She's a brawny girl, well built and tall and sturdy, and she will know how to keep her chin out of the mud with any knight errant who ever has her for his mistress.

The west coast of the lower North Island is not naturally supplied with harbours and the Foxton harbour had a dangerous bar at the river mouth but as the only real harbour between Wanganui and Wellington it was used anyway.

* Gallus Mag, real name unknown, an early 19th Century female bouncer at a New York bar.

The former Rushden railway station is now owned by the Rushden Historical Transport Society, which operates a museum and real ale bar.

* The Dresden room is a popular ( classic ) bar and club in the Los Feliz neighborhood, located at 1760 N. Vermont Ave. Marty & Elayne, who are performing in the Dresden scene in the movie, perform at the Dresden in real life several nights a week.

) " The Sardine Factory " is a real restaurant and bar still at the same location as in the film, at Prescott and Wave Street, just one block up from Cannery Row in Monterey.

Further on in the documentary, referring to the Afghan Arabs Bearden said: " The only times that I ran into any real trouble in Afghanistan was when I ran into ' these guys ' - You know there'd be kind of a ' moment ' or two that would look a little bit like the bar scene in Star Wars, ya know.

St John's College bar is renowned amongst the student population of Durham, particularly notable is the wide selection of real cask ales available.

This is derived from and mimics the technique used in older popular music, e. g. disco and funk of the 1970s, in which multiple instances of real handclaps were recorded ( or a single recording was made of a group of performers clapping in unison ), usually for the purpose of reinforcing the snare drum beat on the 2nd and 4th beats of the bar.

1981-The Eagle at 398 12th St., as of 2010, was San Francisco's oldest leather bar, as well as its largest with its extensive outdoor patio, and it hosted many popular barbecues and beer busts to benefit charitable organization ; however, it closed in June 2011 due to a dispute over its real estate.

* The Union Bar is a small wood-panelled bar, having the largest selection of real ale in the Union and the boasts the largest collection of pewter tankards in Europe, with many dating back to the early 20th century-each tankard represents a club and only the current or former club presidents are allowed to use the club's tankard.

'" ( 193 ) He then visited a bar from his youth where he met and caught up with many friends, learning that a lot of regulars and childhood chums had died ( many names from previous novels are mentioned and seen, or suggested to be, real people ).

For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

" He noted that " the real triumph belongs to Stephen Sondheim ... the music is a celebration of 3 / 4 time, an orgy of plaintively memorable waltzes, all talking of past loves and lost worlds ... There is a peasant touch here.

For instance, division of real numbers is a partial function, because one can't divide by zero: a / 0 is not defined for any real a.

Historically, memory has been called core, main memory, real storage or internal memory while storage devices have been referred to as secondary storage, external memory or auxiliary / peripheral storage.

Identify each such point θ on the circle with the corresponding point on the real line tan ( θ / 2 ).

Then I < sub > x </ sub > and I < sub > x </ sub >< sup > 2 </ sup > are real vector spaces and the cotangent space is defined as the quotient space T < sub > x </ sub >< sup >*</ sup > M = I < sub > x </ sub > / I < sub > x </ sub >< sup > 2 </ sup >.

The z plane provides a means for mapping digital frequency ( samples / second ) to real and imaginary z components, where for continuous periodic signals and ( is the digital frequency ).

Different individuals or nations may have different real opportunity costs of production, say from differences in stocks of human capital per worker or capital / labour ratios.

The first " real " public release of EDIF was version 2 0 0, which was approved in March 1988 as the standard ANSI / EIA-548-1988.

Alternatively, it is possible to express an even-length real-input DFT as a complex DFT of half the length ( whose real and imaginary parts are the even / odd elements of the original real data ), followed by O ( N ) post-processing operations.

There are further FFT specializations for the cases of real data that have even / odd symmetry, in which case one can gain another factor of ( roughly ) two in time and memory and the DFT becomes the discrete cosine / sine transform ( s ) ( DCT / DST ).

Instead of directly modifying an FFT algorithm for these cases, DCTs / DSTs can also be computed via FFTs of real data combined with O ( N ) pre / post processing.

The taxonomic structure of the true finch family, Fringillidae, has been fairly disputed in the past, with some upranking the Hawaiian honeycreepers ( Drepanidinae ) as family Drepanididae and / or uniting the cardueline and fringilline finches as tribes ( Carduelini and Fringillini ) in one subfamily ; the euphonious finches ( Euphoniinae ) were thought to be tanagers due to general similarity in appearance and mode of life until their real affinities were realized.

Provisions of gang injunctions include things such as restricting the possession of marker pens, spray paint cans, or other sharp objects capable of defacing private or public property ; spray painting, or marking with marker pens, scratching, applying stickers or otherwise applying graffiti on any public or private property, including but not limited to the street, alley, residences, block walls and fences, vehicles and / or any other real or personal property.

A GUT model basically consists of a gauge group which is a compact Lie group, a connection form for that Lie group, a Yang-Mills action for that connection given by an invariant symmetric bilinear form over its Lie algebra ( which is specified by a coupling constant for each factor ), a Higgs sector consisting of a number of scalar fields taking on values within real / complex representations of the Lie group and chiral Weyl fermions taking on values within a complex rep of the Lie group.

The GIOVE Mission segment operated by European Satellite Navigation Industries is exploiting the GIOVE-A / B satellites to provide experimental results based on real data to be used for risk mitigation for the IOV satellites that will follow on from the testbeds.

In other words, a meter glucose reading of 39 mg / dL could be properly obtained from a person whose laboratory serum glucose was 53 mg / dL ; even wider variations can occur with " real world " home use.