( Actually, a nilpotent operator on an n-dimensional space must have its T power 0 ; ;

that is, one must know something about D other than the fact that it is a linear operator.

The second assumption is that the operator must respect the associative rule:

The differential operator must be understood to be an abstract operator, acting on kets, that has the effect of differentiating wavefunctions once the expression is projected into the position basis:

must be the unit operator, which sends each vector to itself.

In two or more dimensions we must use, the del or gradient operator, which generalises the first derivative, obtaining

Many small arms are " single shot " firearms: i. e., each time a cartridge is fired, the operator must manually re-cock the firearm and load another cartridge.

In order to set up a GPRS connection for a wireless modem, a user must specify an APN, optionally a user name and password, and very rarely an IP address, all provided by the network operator.

In addition, the < operator returns its second argument if it succeeds, allowing things like < code > if a < b < c </ code >, a common type of comparison that in most languages must be written as a disjunction of two inequalities like < code > if a < b && b < c </ code >.

Compactification does not produce group actions on chiral fermions except in very specific cases: the dimension of the total space must be 2 mod 8 and the G-index of the Dirac operator of the compact space must be nonzero.

The type of the elements merged must support the less-than (<) operator, or it must be provided with a custom comparator.

The centerpiece of the deregulation was the establishment of two categories of basic services licenses: Local loop ( LL ), for fixed line telecommunication within the 14 PTCL regions, and Long-distance and International ( LDI ), for connectivity between regions .” Two sets of criteria set by the regulatory authorities must be met before an operator is allowed to start operation: one for the issuance of a license and another for the maintenance of service quality.

This process iterates until an operator is resolved, which must happen eventually, as there must be one more operand than there are operators in a complete statement.

Due to the lack of a guidance system in the RPG rockets, the operator must fire relatively close to the intended target, increasing the chances of being spotted.

Usually, the maximum amount is set at the level where the operator must begin to deduct taxes.

The disadvantage is that the operator must keep the sight's cross hairs on the target and then steer the missile into the cross hairs — i. e. the line-of-sight.

To do this, the operator must be well trained ( spending hundreds of hours on a simulator ) and must remain stationary and in view of the target during the flight time of the missile.

Again, the operator must remain stationary during the missile's flight.

For the operator γ < sup > μ </ sup >∂< sub > μ </ sub > to remain invariant, the gammas must transform among themselves as a contravariant vector with respect to their spacetime index.

If jamming is used continually, it can be extremely difficult for a missile to acquire the target, locking on to the much larger return from the jammer, with the operator unlikely noticing the difference without a radar screen to see the return.

The operator dips the brush in plating solution then applies it to the item, moving the brush continually to get an even distribution of the plating material.

In SACLOS, the operator has to continually point a sighting device at the target while the missile is in flight.

On the R142A car, the train operator must continually hold the lever in place.

Other devices that make up a complete microcomputer system include batteries, a power supply unit, a keyboard and various input / output devices used to convey information to and from a human operator ( printers, monitors, human interface devices ).

Penet's operator shut it down after destroying its records ( including the list ) to retain identity confidentiality for its users ; though not before being forced to supply the court with the real e-mail addresses of two of its users.

These include end effectors, feeders that supply components to the robot, conveyor belts, emergency stop controls, machine vision systems, safety interlock systems, bar code printers and an almost infinite array of other industrial devices which are accessed and controlled via the operator control panel.

In May 2012, SAP AG announced to acquire the Sunnyvale, California-based supply chain network operator Ariba Inc. for an estimated $ 4. 3 billion dollars.

* Distribution system operator in the electricity supply industry

When the amino acid tryptophan is in plentiful supply in the cell, trpR binds 2 molecules of tryptophan, which alters its structure and dynamics so that it becomes able to bind to operator DNA.

Historically they were used on larger military weapon systems that could supply an electrical source to illuminate them and where the operator needed a wide field of view to track and range a moving target visually ( i. e. weapons from the pre laser / radar / computer era ).

" The energy regulator believes that energy generators manipulate the power market for profit when supplies are tight because network operator National Grid has to pay utilities to turn their plants on or off to balance supply and demand.

The output of a rotary spark gap transmitter was turned on and off by the operator using a special kind of telegraph key that switched power going to the high voltage power supply.

When they transferred to West Anglia Great Northern for use with 25 kV AC overhead line traction supply, the shoes and associated equipment were removed and a Brecknell Willis high speed pantograph was installed, along with other operator and voltage specific modifications and testing, by Bombardier Transportation Limited at their Doncaster Works, shortly before the works were closed.

For example, a factory that is lit from a single-phase supply with basic lighting will have a flicker of 50 or 60Hz ( depending on country ), thus any machinary rotating at 50 or 60rpm may appear to not be turning, increasing the risk of injury to an operator.

The levers are about shoulder height since they must supply a mechanical advantage for the operator.

The operator in the electrical control suspected there had been a derailment and re-configured the supply so that the nearby Wimbledon line trains could still run.

On July 29, 2010, The Pantry, Inc., operator of Kangaroo Express stores and the leading independently operated convenience store chain in the southeastern United States, announced a fuel supply agreement with Marathon Petroleum.

Warner Amex Cable Company, run by Gus Hauser, would build local cable systems across the United States ( today as Time Warner Cable, the second largest cable operator in America ), and Warner Amex Satellite Entertainment Company ( WASEC ), run by former CBS Network President John A. Schneider, to supply programming to the rapidly expanding cable television universe.

For example, a factory that is lit from a single-phase supply with basic lighting will have a flicker of 50 or 60Hz ( depending on country ), thus any machinary rotating at 50 or 60Hz ( 3000 or 3600rpm ) may appear to not be turning, increasing the risk of injury to an operator.

With some effort, however, it is very customisable, including a provision for a system operator to supply RIP graphics for users.

In these cases, the operator could be charged with running a gambling game or failing to supply ordered products.