In some neighborhood of an isolated tangent point in the f-plane, say Af, the function Af is either double-valued or has no values defined, except at the tangent point itself, where it is single-valued.

For each cell, a set of cells called its neighborhood ( usually including the cell itself ) is defined relative to the specified cell.

# Update the nodes in the neighborhood of the BMU ( including the BMU itself ) by pulling them closer to the input vector

Even light itself does not have a " velocity " of c in this sense ; the total velocity of any object can be expressed as the sum where is the recession velocity due to the expansion of the universe ( the velocity given by Hubble's law ) and is the " peculiar velocity " measured by local observers ( with and, the dots indicating a first derivative ), so for light is equal to c (- c if the light is emitted towards our position at the origin and + c if emitted away from us ) but the total velocity is generally different than c .( Davis and Lineweaver 2003, p. 19 ) Even in special relativity the coordinate speed of light is only guaranteed to be c in an inertial frame, in a non-inertial frame the coordinate speed may be different than c ; in general relativity no coordinate system on a large region of curved spacetime is " inertial ", but in the local neighborhood of any point in curved spacetime we can define a " local inertial frame " and the local speed of light will be c in this frame, with massive objects such as stars and galaxies always having a local speed smaller than c. The cosmological definitions used to define the velocities of distant objects are coordinate-dependent-there is no general coordinate-independent definition of velocity between distant objects in general relativity ( Baez and Bunn, 2006 ).

* For a given map, if every point in the domain has a neighborhood such that restricting the map to this neighborhood is a plot, then the map itself is a plot.

The campus itself is situated is an affluent suburban neighborhood, adjacent to the Haverford School, the Merion Golf Club and the Merion Cricket Club, one of the oldest country clubs in the United States.

The wheel itself closed in April 1894 and was then dismantled and stored until the following year, when it was rebuilt in the Lincoln Park, Chicago, neighborhood.

For example, the Boston Public Library has 26 neighborhood branches and offers free Internet service ; it has two restaurants and an online store which features reproductions of photographs and artwork ; and it promotes itself with a website.

The Louisville Courier-Journal reported in 1922 that the Brecks dated " back fifteen years, springing from a boys neighborhood team, the Floyds and Brecks, that has kept itself intact probably longer than any independent team in the country.

Several, however, have had significant engagements with the neighborhood itself.

Aside from its unorthodox neighborhood chain-restaurant tie-in, Hooters Air sought to differentiate itself from other carriers with a distinctive style of in-flight service.

It is dominated by the housing projects ( shikunim ) there, in the Shikunei HaMizrah neighborhood itself.

At a nursery in the Heights neighborhood of Houston, Texas, a stable population has established itself, hatchlings having been observed in the spring of 2005.

Kendall Square is a neighborhood in Cambridge, Massachusetts, with the " square " itself at the intersection of Main Street, Broadway, Wadsworth Street, and Third Street ( immediately to the east of the secondary entrance of the Kendall / MIT subway station ).

Road to Perdition ( Tom Hanks, Paul Newman ) was filmed in historic Pullman, showing the factory and how it " once was " with workers, as well as many other scenes of the neighborhood itself.

The creek, park, and neighborhood were named after the cove, itself named by one George Davidson in 1857 after his fiancée, Ellinor Fauntleroy.

The intersection of the disk with the given periodic orbit comes back to itself every period of the orbit and so do points in its neighborhood.

Trader Joe's describes itself as " your neighborhood grocery store " or " your unique grocery store ".

An offshoot, the San Francisco Street Patrol, was a neighborhood safety patrol in the Castro District ; it outlived QN / SF itself by a year.

The station is within the NoMa neighborhood, which is both residential and commercial, and the station itself is in a commercial district on Florida Avenue.

The station is within and named for the NoMa neighborhood, which is both residential and commercial, and the station itself is in a commercial district on Florida Avenue.

The film industry established itself in the neighborhood in 1907, when the Vitagraph company occupied a studio at Avenue M and East 14th Street.

The neighborhood was the site of the farm where Cornelius Vanderbilt grew up, at the location of the present-day Paramount Theater building on Bay Street ( the theater itself having closed in the early 1980s ).

By the time Coors Field opened on the edge of the LoDo Historic District in 1995, the area had begun to revitalize itself into a new, hip neighborhood filled with clubs, restaurants, art galleries, stores, bars, and other businesses.

* First, classical general relativity breaks down at singularities, and quantum mechanics becomes inconsistent with general relativity in the neighborhood of singularities ( however, no one is certain that classical general relativity applies near singularities in the first place ).

At a neighborhood coffee shop near a carnival, he meets and becomes friends with a female midget named Clarice ( April Kent ), who is proportionately his equal, with him being slightly taller.

At the Emmet Street intersection, Route 21 becomes a four-lane, undivided road and intersects Murray Street, which provides access to the Ironbound neighborhood of Newark.

The space of rotations is continuous, each rotation has a neighborhood of rotations which are nearly the same, and this neighborhood becomes flat as the neighborhood shrinks.

The New York City Subway's IND Fulton Street Line () runs along Liberty Avenue, and becomes elevated upon entering the neighborhood from Brooklyn.

Since there is no equilibrated neighborhood, the concept of temperature breaks down, and the temperature becomes undefined.

As has often been the pattern in Manhattan, a neighborhood that is " discovered " by artists and bohemians and then becomes " hip ", will often begin to attract more affluent residents, which drives up the price of housing, and begins to drive out some of the very people who " turned over " the neighborhood.

Over the course of time, it begins to change the essential character of the neighborhood, which becomes safer, more comfortable and less " edgy ".

The space of rotations is continuous, each rotation has a neighborhood of rotations which are nearly the same, and this neighborhood becomes flat as the neighborhood shrinks.

It focuses on a college English professor ( Ryan ) who becomes entangled with a detective ( Ruffalo ) investigating a series of gruesome murders in her Manhattan neighborhood.

It continues on a generally easterly path to the Rego Park neighborhood, where it connects to New York State Route 25 ( NY 25, named Queens Boulevard ) and becomes the Horace Harding Expressway.

It is defined by rule notation B3678 / S34678, meaning that a dead cell becomes live ( is born ) if it has 3, 6, 7, or 8 live neighbors, and a live cell remains alive ( survives ) if it has 3, 4, 6, 7, or 8 live neighbors, out of the eight neighbors in the Moore neighborhood.

At the east border of Glendale, Colorado Street becomes Colorado Boulevard as it crosses State Route 2 ( Glendale Freeway ) into Los Angeles ( specifically, the neighborhood of Eagle Rock ).

( 03-13-2006 )-After being bothered by their noisy neighborhood ( sounds from a Garbage truck, Jackhammer and Car horns ), Grampu takes the kids on a nature walk, where Uma becomes excited to see an eagle.

Generally, as elevation rises, the neighborhood becomes more residential, with primary commercial buildings located along Whalley Avenue, which runs from the southeast to northwest.

Infill construction of condominiums and single family homes is now in full force on the east side of the neighborhood, as Pilsen becomes one of the next major development areas for infill construction.

He spends a lot of time at a neighborhood bar, which is full of other disabled people, and becomes best friends with Jerry ( David Morse ), the barman with a bad leg.

The neighborhood in general becomes more affluent as you travel from south to north and from east to west.

It runs east from the Queens neighborhood of Jamaica through Merrick to the line between Nassau and Suffolk counties, where it becomes Montauk Highway.