The expression is typically interpreted as the probability amplitude for the state ψ to collapse into the state ϕ.

In quantum mechanics the expression is typically interpreted as the probability amplitude for the state to collapse into the state.

When the formal system is intended to be a logical system, the expressions are meant to be interpreted as statements, and the rules, known as inference rules, are typically intended to be truth-preserving.

These are typically interpreted as integer values ( counts ) by the PLC, with various ranges of accuracy depending on the device and the number of bits available to store the data.

Hallucinations also differ from " delusional perceptions ", in which a correctly sensed and interpreted stimulus ( i. e. a real perception ) is given some additional ( and typically bizarre ) significance.

The main disadvantage of interpreters is that when a program is interpreted, it typically runs more slowly than if it had been compiled.

" All these instances are typically interpreted as indications of the negative consequences of man's separation from nature, both in the creation of destructive machinery and in the inability to rejoice in pure nature.

Sonographers are medical professionals who perform scans which are then typically interpreted by Radiologists, physicians who specialize in the application and interpretation of a wide variety of medical imaging modalities, or by Cardiologists in the case of cardiac ultrasonography ( echocardiography ).

For example, software libraries for linear algebra, such as BLAS, typically provide options to specify that certain matrices are to be interpreted in transposed order to avoid the necessity of data movement.

While the label has been applied to settings within other genres, it is typically interpreted to refer to " a tale of illicit rumpy-pumpy in the countryside " according to a 2007 article in The Observer.

According to the designers of the BCPL language, interpreted code ( in the BCPL case ) is more compact than machine code ; typically by a factor of two to one.

This thumb is typically interpreted as a close-quarter stiletto-like weapon against predators, although it could also have been used to break into seeds and fruits, or against other Iguanodon.

Context-dependency effects on recall are typically interpreted as evidence that the characteristics of the environment are encoded as part of the memory trace and can be used to enhance retrieval of the other information in the trace.

The 13th Seat ( the very middle of the horseshoe table ) is the symbolic seat of the Horned Rat, and it acts as a tie-breaker in votes amongst the other members, with the " Horned Rat's " vote typically being interpreted by the Seer Lord.

With this approach toward evolution, scriptural creation stories are typically interpreted as being allegorical in nature.

In applied contexts, the terms " easy " and " hard " are usually interpreted relative to some specific computing entity ; typically " cheap enough for the legitimate users " and " prohibitively expensive for any malicious agents ".

As initially interpreted by companies and their auditors, the typically lower sale value was used as the market value rather than the cash flow value.

However an incrementally compiled program will typically run much faster than an interpreted version of the same program.

Although the command was initially given directly only to Christ's Eleven Apostles, evangelical Christian theology has typically interpreted the commission as a directive to all Christians of every time and place, particularly because it seems to be a restatement or moving forward of the last part of God's covenant with Abraham in.

Absent " Z " s can typically be interpreted by the operator, based on context.

If so, then Wulf and Eadwacer is not typical, because most Old English loyalty crises occur within the family group … It is … true that romantic or sexual love was not the literary commonplace before the twelfth century it has been since ; other loves took precedence … The situation in Wulf and Eadwacer is far more typically Anglo-Saxon than as usually interpreted, if the speaker is understood to be the mother of the person she addresses as Wulf, as well as of the ‘ whelp ’ of line 16.

Binary files typically contain bytes that are intended to be interpreted as something other than text characters.

Aquifer tests are typically interpreted by using an analytical model of aquifer flow ( the most fundamental being the Theis solution ) to match the data observed in the real world, then assuming that the parameters from the idealized model apply to the real-world aquifer.

The gospels state that the first day of the week after the crucifixion ( typically interpreted as a Sunday ), The followers of Jesus encounter him risen from the dead, after his tomb was discovered to be empty.

The standard is whether " removing barriers " ( typically defined as bringing a condition into compliance with the ADAAG ) is " readily achievable ", defined as " easily accomplished without much difficulty or expense ".

It is defined as the range of speeds between the critical Mach number, when some parts of the airflow over an aircraft become supersonic, and a higher speed, typically near Mach 1. 2, when all of the airflow is supersonic.

In information theory, one bit is typically defined as the uncertainty of a binary random variable that is 0 or 1 with equal probability, or the information that is gained when the value of such a variable becomes known.

Because this range of non-zero amplitude may be very broad or infinite, this definition is typically relaxed so that the bandwidth is defined as the range of frequencies in which the signal's spectral density is above a certain threshold relative to its maximum.

Fractional bandwidth or Ratio bandwidth, usually used for wideband antennas, is defined as and is typically presented in the form of.

These were typically based on the brightness of the flame from a " standard candle " of defined composition, or the brightness of an incandescent filament of specific design.

The standard state, or reference state, of an element is defined as its thermodynamically most stable state at 1 bar at a given temperature ( typically at 298. 15 K ).

Such a pair of adjoint functors typically arises from a construction defined by a universal property ; this can be seen as a more abstract and powerful view on universal properties.

Formally speaking, a collation method typically defines a total order on a set of possible identifiers, called sort keys, which consequently produces a total preorder on the set of items of information ( items with the same identifier are not placed in any defined order ).

Strict limits for how small a point defect is, are generally not defined explicitly, but typically these defects involve at most a few extra or missing atoms.

Bodies of water, park roads and areas of concrete are typically defined as out-of-bounds in disc golf, however, sometimes these are not.

When the database is ready ( all its data structures and other needed components are defined ) it is typically populated with initial application's data ( database initialization, which is typically a distinct project ; in many cases using specialized DBMS interfaces that support bulk insertion ) before making it operational.

In contrast with most other OO languages, other methods applicable to the class are often defined outside of the class, and thus class definitions in Dylan typically include the definition of the storage only.

In computational complexity theory, decision problems are typically defined as formal languages, and complexity classes are defined as the sets of the formal languages that can be parsed by machines with limited computational power.

For Marx, what defined feudalism was that the power of the ruling class ( the aristocracy ) rested on their control of arable land, leading to a class society based upon the exploitation of the peasants who farm these lands, typically under serfdom.

Because of its prevalence, the generic term IP address typically still refers to the addresses defined by IPv4.

Each half-line had to follow one of five or so patterns, each of which defined a sequence of stressed and unstressed syllables, typically with two stressed syllables per line.

Devices typically do not respond to every type of message defined by the MIDI specification.

MPEG-1 Part 2 video is rare nowadays, and this extension typically refers to an MPEG program stream ( defined in MPEG-1 and MPEG-2 ) or MPEG transport stream ( defined in MPEG-2 ).

Modern mainframe design is generally less defined by single-task computational speed ( typically defined as MIPS rate or FLOPS in the case of floating point calculations ), and more by: