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This operation extends the differential of a function, and the divergence and the curl of a vector field in an appropriate sense that makes the fundamental theorem of calculus, the divergence theorem, Green's theorem, and Stokes ' theorem special cases of the same general result, known in this context also as the general Stokes ' theorem.
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operation and extends
To be sure, Hume thought that we can form beliefs about that which extends beyond any possible experience, through the operation of faculties such as custom and the imagination, but he was skeptical about claims to knowledge on this basis.
it can be checked that this is again an ultrafilter, and that the operation + is associative ( but not commutative ) on and extends the addition on ; 0 serves as a neutral element for the operation + on.
The metro railway extends along most of Gran Valparaíso and is the second metro system in operation in Chile ( after Santiago ’ s ), and includes an underground section that crosses Viña del Mar ’ s downtown.
Beginning July 30, 2012, the DART Orange Line extends to the Las Colinas Convention Center and the 503 circulator bus begins operation and it will be possible to visit the site without a car, walking or biking from a bus stop.
In both of these cases the mainsail extends aft of a line from masthead to stern, and so a permanent backstay would interfere with the operation of the sail.
* Drawing: The drawing operation is very similar to the forming operation except that the drawing operation undergoes severe plastic deformation and the material of the part extends around the sides.
Running from Central Railway Station to the inner western suburb of Lilyfield, the route extends for, including of on-street operation.
* Advantage: duplex channels usually allow repeater operation which extends range ( in most cases due to increased transmit power and improved aerial location / height )-especially where hand-held radios are in use.
The railroad currently extends to Monterey where it serves a large sand mining operation.
" Swaging is a major advance over filing as the operation is faster, more precise and greatly extends the working life of a saw.
The use of CO < sub > 2 </ sub > greatly extends tool life, and on most materials allows the operation to run faster.
Beginning in 1900 a limestone quarrying operation was established at Aguathuna, near the peninsula's isthmus where the Table Head mountain ridge extends from the Lewis Hills.
operation and differential
A differential algebra is an algebra with the extra operation of derivation ( algebraic version of differentiation ).
For tractors with additional front-wheel drive, this operation often engages the 4-wheel locking differential ( diff-lock ) to help stop the tractor when traveling at road speeds.
ECL uses an overdriven BJT differential amplifier with single-ended input and limited emitter current to avoid the saturated ( fully on ) region of operation and its slow turn-off behavior.
There is an operation d on differential forms known as the exterior derivative that, when acting on a k-form produces a ( k + 1 )- form.
This is the Leslie of choice for recording studios or other sonically demanding applications due to the quiet operation of the Model 122's differential signal input design.
They may be further subdivided into differential and algebraic models ( digital computers, in this context, should be thought of as topological, at least insofar as their operation on computable reals is concerned ).
Sometimes, however, a differential controller ( that can also be powered by the DC output of a PV panel ) is used to prevent the operation of the pumps when there is sunlight to power the pump but the collectors are still cooler than the water in storage.
The pressure differential is dangerous and many fatal accidents have occurred in the history of pressure vessel development and operation.
Analog Devices amplifiers includes precision and operation amplifiers, instrumentation, current sense, differential amplifiers, audio amplifiers, video amplifiers / buffers / filters, variable gain amplifiers, comparators, voltage, other specialty amplifiers and products for special linear functions.
Some side-channel attacks require technical knowledge of the internal operation of the system on which the cryptography is implemented, although others such as differential power analysis are effective as black-box attacks.
Unskilled drivers often put massive stress on driveline components when leaving the differential in locked operation on terrain not requiring a locker.
* In differential geometry a derivative algebra is a vector space with a product operation that has similar behaviour to the standard cross product of 3-vectors.
Vehicles are typically modified with larger than stock tires, suspension components that allow greater axle articulation, and changes in the differential gear ratio in order to provide the ideal high torque / low speed operation for traversing obstacles.
There the parameter r is given as e < sup > t </ sup > and the transformation group of squeeze mappings is used to illustrate the invariance of a differential equation under the group operation.
Historically, the operation of solving a differential equation was known as “ integrating ” the equation, and the solutions were known as “ integrals ”.
The planetary gearset allows a Torsen III center differential to distribute torque unevenly between front and rear axles during normal ( full traction ) operation without inducing wind-up in the drivetrain.
Following the idea of expressing visual operation in terms of differential invariants computed at multiple scales using Gaussian derivative operators, we can express an edge detector from the set of points that satisfy the requirement that the gradient magnitude
The fast operation of CML circuits is mainly due to their lower output voltage swing compared to the static CMOS circuits as well as the very fast current switching taking place at the input differential pair transistors.
operation and function
A primary function is the operation of a Government Bid Center, which receives bids daily from the Federal Government's principal purchasing agencies.
of a function f is a differentiable function F whose derivative is equal to f, i. e., F ′ = f. The process of solving for antiderivatives is called antidifferentiation ( or indefinite integration ) and its opposite operation is called differentiation, which is the process of finding a derivative.
A binary operation is a binary function where the sets X, Y, and Z are all equal ; binary operations are often used to define algebraic structures.
If f is not a function, but is instead a partial function, it is called a partial operation.
* Car ( function ), along with cdr, a primitive operation on linked lists in the LISP programming language
Note, however, that currying, while similar, is not the same operation as partial function application.
For example, if function div stands for the division operation x / y, then div with the parameter x fixed at 1 ( i. e., div 1 ) is another function: the same as the function inv that returns the multiplicative inverse of its argument, defined by inv ( y )
In mathematics and, in particular, functional analysis, convolution is a mathematical operation on two functions f and g, producing a third function that is typically viewed as a modified version of one of the original functions, giving the area overlap between the two functions as a function of the amount that one of the original functions is translated.
With this function implemented in the name server, user applications gain efficiency in design and operation.
Let function composition, notated by infix, interpret the group operation.
In the sciences and engineering, the process of decomposing a function into simpler pieces is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis.
One function is transformed into another, and the operation is reversible.
* Group with a partial function replacing the binary operation ;
A groupoid is a set G with a unary operation and a partial function Here * is not a binary operation because it is not necessarily defined for all possible pairs of G-elements.
In other words, an automorphism of E / F is an isomorphism α from E to E such that α ( x ) = x for each x in F. The set of all automorphisms of E / F forms a group with the operation of function composition.
A function which preserves operation should have this property: f ( a + b ) =
Even though the set may be the same, the same function might be a homomorphism, say, in group theory ( sets with a single operation ) but not in ring theory ( sets with two related operations ), because it fails to preserve the additional operation that ring theory considers.
2.062 seconds.