In the first case, ƒ ( x ) has y = c as asymptote when x tends to −∞, and in the second that ƒ ( x ) has y = c as an asymptote as x tends to +∞

In the first case the line is an oblique asymptote of ƒ ( x ) when x tends to +∞, and in the second case the line is an oblique asymptote of ƒ ( x ) when x tends to −∞

In the case of integer order n, the function is defined by taking the limit as a non-integer α tends to n:

In Turkish each of these are separate letters, rather than versions of other letters, where dotted capital İ and lower case i are the same letter, as are dotless capital I and lowercase ı. Typographically, Ç and Ş are often rendered with a subdot, as in ; when a hook is used, it tends to have more a comma shape than the usual cedilla.

Modern Hebrew tends to reserve this for a limited number of nouns, but usually prefers to use the preposition shel, as in the previous case.

Rifle brass tends to flow towards the neck ( this is why rifle brass must be trimmed periodically ) and this takes brass away from the rear of the case.

Without this capacity, which is often the case in practice, to produce a representation with lower resolution or lower fidelity than a given one, one needs to start with the original source signal and encode, or start with a compressed representation and then decompress and re-encode it ( transcoding ), though the latter tends to cause digital generation loss.

With a price increase, price elasticity tends to increase, and in the optimum case above it will be greater than one for most customers.

This tends to be the case in industries where capital costs predominate, creating economies of scale that are large in relation to the size of the market, and hence high barriers to entry ; examples include public utilities such as water services and electricity.

Natural monopolies arise where the largest supplier in an industry, often the first supplier in a market, has an overwhelming cost advantage over other actual or potential competitors ; this tends to be the case in industries where fixed costs predominate, creating economies of scale that are large in relation to the size of the market, as is the case in water and electricity services.

Advertising tends to be more limited on these media, because of reliance on subscription revenues ( in the case of satellite ) and smaller audience and fewer connections to advertisers ( in the case of Internet-only shows, which usually lack the full sales departments of terrestrial and satellite broadcasters ).

As in the case of tin, a magic number for Z, the atomic number, tends to increase the number of stable isotopes for the element.

In each case, where general relativity fails as the curvature of space-time invokes singularities from its equations at t = 0, the statistically " gray " nature of quantum cosmology tends to allow a scientific rationale to account for each paradox, and in so doing allows for a scientific perspective on previously theistic terrain.

( This tends to be much less the case among evangelicals in countries where Pentecost is prominently celebrated, such as Germany or Romania.

This tends not to be the case for laptops, though adding or replacing some parts, like the optical drive, hard disk, and adding an extra memory module is often quite simple.

The long pink and short white races frequently occur in close proximity to each other, in which case the former tends to flower in winter and the latter in spring.

This was not the case ; contemporary evidence tends to suggest that he was at least a committed supporter of Christians.

This is especially true if the unexpected shock is one ( like a fall in consumer confidence ) which tends to lower both output and inflation ; in that case, expanding the money supply ( lowering interest rates ) helps by increasing output while stabilizing inflation and inflationary expectations.

The 3 dB bandwidth of an electronic filter or communication channel is the part of the system's frequency response that lies within 3 dB of the response at its peak, which in the passband filter case is typically at or near its center frequency, and in the lowpass filter is near 0 hertz.

At the peak of the terror, the slightest hint of counter-revolutionary thoughts or activities ( or, as in the case of Jacques Hébert, revolutionary zeal exceeding that of those in power ) could place one under suspicion, and trials did not always proceed according to contemporary standards of due process.

Numerous motorways have peak lanes, and plus lanes are extra lanes in the median, which can be opened to traffic in case of congestion.

There is an optimum value of the peak magnetic field, about 7 T in this case.

This also occurred in the United Kingdom starting with the 1959 Obscene Publications Act and reaching a peak with the LCL court case.

In each case the power supply mass is essentially proportional to the peak power that can be supplied, and they both essentially give, for this application, no limit to the energy.

For instance, in the case of the Chebyshev filter it is usual to define the cutoff frequency as the point after the last peak in the frequency response at which the level has fallen to the design value of the passband ripple.

Steinway began creating art case pianos in 1857 and the making of art case pianos reached its peak in the late 19th century.

The peak force is often greater than the traction limit of the tires, in which case the brake can cause a wheel skid.

In the argot of the improvisational theater of Istanbul the stage was called " sahano ", backstage was referred to as " koyuntu ", backdrops depicting countryside as " bosko ", the applause as " furi ", and the songs sung as solos or duets between the acts and plays were called " kanto " ( as was the case with their Italian counterparts, the Turkish troupe members played songs and music before the show and between the acts to peak people's interest and draw in customers ).

In this case the peak voltage of the battery drops more quickly than normal as it is used, even though the total energy remains almost the same.

In the case of photovoltaics, average direct insolation is commonly measured in terms of peak direct insolation as kWh /( kWp · y )

Usually this means increasing prices during certain periods of time or at the places where congestion occurs ; or introducing a new usage tax or charge when peak demand exceeds available supply in the case of a tax-funded public good provided free at the point of usage.

For example, in the case of a Boeing 757, the peak landing fee was about 2. 5 times higher than the off-peak fee in all three airports.

In the case of the Koshi River, the huge sediment load and megafan's slightly convex transverse surface conspire against engineering efforts to contain peak flows inside manmade embankments.

In the case of a steady sinusoidal tone ( not music ) into a purely resistive load, this can be calculated from the peak amplitude of the voltage waveform ( which is easier to measure with an oscilloscope ) and the load's resistance:

At the peak of the heat wave, as was the case in the summer of 1988, and possibly 1977, Madison, Wisconsin probably would have broken its all-time maximum temperature record of had the reporting station been in the same location as it was during the 1930s.

Additional support came from the Massachusetts Forestry Association's initiative to advocate for the establishment of a state park system, and to make the case point, fight inappropriate development of the state's highest peak, Mount Greylock.

This is the case, in particular, of Easter Island, which is a recent volcanic peak surrounded by deep ocean ( 3, 000 m deep at 30 km off the island ).

In the simplest case of pure spectral light ( also known as monochromatic ), the spectrum of the light has power only in one narrow frequency band peak.

The Dirac delta represents the limiting case of a pulse made very short in time while maintaining its area or integral ( thus giving an infinitely high peak ).

However, consider another case — the peak of the action potential.

But Mercer's explanation was simple: `` I made out the check and carried it around a few days unsigned -- in case I lost it ''.

Without comment he opened the closet and from its shelves constructed a highboard around the egg case which he had placed on the floor inside.

The necessity is not clear to me, and, in any case, to present a case-hardened race-driver as saying he has left his car, which, or whom, he calls `` Giuseppe '', parked `` on the Place Vendome sneering at a dozen Bentleys and Rolls-Royces parked around him '' is not a liberty ; ;

The male grasps the female tightly with his forelimbs either behind her arms or in front of her back legs, or in the case of Epipedobates tricolor, around her neck.

If the Labours precede the events in Roger Ackroyd, then the Roger Ackroyd case must have taken place around twenty years later than it was published, and so must any of the cases that refer to it.

It is an outer locative case, used just as the adessive and allative cases to denote both being on top of something and " being around the place " ( as opposed to the inner locative case, the elative, which means " from out of " or " from the inside of ").

The primary benefits over rifled barrels is reduced barrel wear, longer ranges that can be achieved ( due to the reduced loss of energy to friction and gas escaping around the projectile via the rifling ) and larger explosive cores for a given caliber artillery due to less metal needing to be used to form the case of the projectile because of less force applied to the shell from the non-rifled sides of the barrel of smooth bore guns.

In the case of an observer on Earth, the direction of a star's velocity varies during the year as Earth revolves around the Sun ( or strictly speaking, the barycenter of the solar system ), and this in turn causes the apparent position of the star to vary.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Similarly, frets on earlier balalaikas were made of animal gut and tied to the neck so that they could be moved around by the player at will ( as is the case with the modern saz, which allows for the microtonal playing distinctive to Turkish and Central Asian music ).

If this were the case, such an area forming around a ship could cause it to sink very rapidly and without warning.

The wardens looked around the hills, stated Kulesh's evidence, that last time Kulesh had seen his workmate near the fireplace, Kulesh went out to work and Centurashvili left to warm himself more ; but when Kulesh returned to the fireplace, Centurashvili had vanished ; who knows, maybe he got frozen somewhere in snow, he was a weak guy (...) The wardens searched for two more days, and then assumed that it was an escape case, though they wondered why, since his imprisonment period was almost over (...) The crime was there.

Unlike the case of the 1541 and 1571, the low-level disk format used by the 1581 is similar enough to the MS-DOS format as the 1581 is built around a WD1770 FM / MFM floppy controller chip.

In the special case of a planet in circular orbit around its star, for example, where is zero, the centripetal acceleration alone is the entire acceleration of the planet, curving its path toward the sun under the force of gravity, the negative F ( r ).

In such a case, the adjacent planes are not straight, but instead bend around the edge of the terminating plane so that the crystal structure is perfectly ordered on either side.

In that case the density around any given location is determined by calculating the density of a small volume around that location.

In 1917 Columbia established the Lincoln School of Teachers College “ as a laboratory for the working out of an elementary and secondary curriculum which shall eliminate obsolete material and endeavor to work up in usable form material adapted to the needs of modern living .” ( Cremin, 282 ) Based on Flexner ’ s demand that the modern curriculum “ include nothing for which an affirmative case can not be made out ” ( Cremin, 281 ) the new school organized its activities around four fundamental fields: science, industry, aesthetics and civics.

Many gags centre around how easily he is manipulated by his executive producer, the most typical case being when Mike refuses to present a story and then is convinced to run it by an appeal to his supposed fearlessness or journalistic integrity.

His investigation takes him to destinations and people around the world within the matter of less than 12 hours before he gets his chance to plead his case on television, and he encounters the wide-ranging effects of displacements upon aspects of human behavior such as settlement, crime, natural resources, agriculture, waste management and tourism.

) In the case of percussion caps the hammer was hollow on the end to fit around the cap in order to keep the cap from fragmenting and injuring the shooter.

Robinson wrote that, where the Gospel narrative accounts can be checked for consistency with surviving material evidence, the account in the Gospel of John is commonly the more plausible ; that it is generally easier to reconcile the various synoptic accounts within John's narrative framework, than it is to explain John's narrative within the framework of any of the synoptics ; and that, where in the Gospel Jesus and his disciples are described as travelling around identifiable locations, the trips in question can always be plausibly followed on the ground, which he says is not the case for any synoptic Gospel.

At high redshift imaging around individual radio sources ( in this case AGN ) has been used to detect proto-clusters ( clusters in the process of forming ).

Before The Sorcerer, Gilbert had constructed his plays around the established stars of whatever theatre he happened to be writing for, as had been the case with Thespis and Trial by Jury.