Help


[permalink] [id link]
+
Page "Control theory" ¶ 6
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

If and resulting
If the resulting difference for the particular State is less or more than these extremes, the State's allotment percentage must be raised or lowered to the appropriate extreme.
If the resulting difference for the particular State is less or more than these extremes, the State's Federal share must be raised or lowered to the appropriate extreme.
If the list is a statistical sample, we call the resulting statistic a sample mean.
If the resulting four kilobyte table size is too large for a given target platform, the table lookup operation can be performed with a single 256-entry 32-bit ( i. e. 1 kilobyte ) table by the use of circular rotates.
If a polynomial time algorithm calls as a subroutine polynomially many polynomial time algorithms, the resulting algorithm is still polynomial time.
If so they are dispatched to available execution units, resulting in the ability for several instructions to be executed simultaneously.
If for instance there had been a wire walker the reprise would involve two chairs with a piece of rope between and the clown trying to imitate the artiste by trying to walk between them with the resulting falls and cascades bringing laughter from the audience.
If later heat treatments cause this glass to become partly crystalline, the resulting material is known as a glass-ceramic, widely used as cooktop.
If the cable is heavy then the resulting curve is between a catenary and a parabola.
If a plan cannot be confirmed, the court may either convert the case to a liquidation under chapter 7, or, if in the best interests of the creditors and the estate, the case may be dismissed resulting in a return to the status quo before bankruptcy.
If the expression that defines the DFT is evaluated for all integers k instead of just for, then the resulting infinite sequence is a periodic extension of the DFT, periodic with period N.
If the Dance Gauge is fully depleted during gameplay, the player fails the song, usually resulting in a game over.
If a function that is not injective is applied to both sides of a true equation, then the resulting equation will still be true, but it may be less useful.
: Problem in words: If you double my son's age and add 4, the resulting answer is 12.
If the chemistry is right, the organism ( or fragment of organism ) can act as a nucleus for the precipitation of minerals such as siderite, resulting in a nodule forming around it.
If fermentation is allowed to run to completion, the resulting wine will ( in most cases ) be low in sugar and will be considered a dry wine.
If two fatwā are potentially contradictory, the ruling bodies ( combined civil and religious law ) would attempt to define a compromise interpretation that will eliminate the resulting ambiguity.
If disk galaxies merge with another galaxy of comparable mass ( at least 15 percent of its mass ) the merger will likely destroy, or at a minimum greatly disrupt the disk, yet the resulting galaxy is not expected to be a disk galaxy.
If there is, and a subsequent round is fired, the firearm can fail explosively resulting in serious injury.
If the network is one-dimensional, and the chain of nodes is connected to form a circular loop, the resulting topology is known as a ring.
If the resulting TTL is 0, the packet is discarded and an ICMP Time To Live exceeded in transit message is sent to the datagram's source address.
# Affordable premium: If the likelihood of an insured event is so high, or the cost of the event so large, that the resulting premium is large relative to the amount of protection offered, it is not likely that the insurance will be purchased, even if on offer.
If the underlying manifold is supersymmetric, the resulting theory is a supersymmetric Yang – Mills theory.
If a sample of cobalt-60 atoms is magnetized so that they spin counterclockwise around some axis, the beta radiation resulting from their nuclear decay will be preferentially directed opposite that axis.

If and linear
If the Af bond is linear then there are three reasonable positions for the hydrogen atoms: ( 1 ) The hydrogen atoms are centered and hence all lie on a sheet midway between the oxygen sheets ; ;
If Af are the projections associated with the primary decomposition of T, then each Af is a polynomial in T, and accordingly if a linear operator U commutes with T then U commutes with each of the Af, i.e., each subspace Af is invariant under U.
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.
If there is a bounded linear operator from X onto Y, then Y is reflexive.
The tensor product X ⊗ Y from X and Y is a K-vector space Z with a bilinear function T: X × Y → Z which has the following universal property: If T ′: X × Y → Z ′ is any bilinear function into a K-vector space Z ′, then only one linear function f: Z → Z ′ with exists.
* If is the norm ( usually noted as ) defined in the sequence space ℓ < sup >∞</ sup > of all bounded sequences ( which also matches the non-linear distance measured as the maximum of distances measured on projections into the base subspaces, without requiring the space to be isotropic or even just linear, but only continuous, such norm being definable on all Banach spaces ), and is lower triangular non-singular ( i. e., ) then
If these are linear with constant
If we assume the controller C, the plant P, and the sensor F are linear and time-invariant ( i. e., elements of their transfer function C ( s ), P ( s ), and F ( s ) do not depend on time ), the systems above can be analysed using the Laplace transform on the variables.
If the function f is not linear ( i. e. its graph is not a straight line ), however, then the change in y divided by the change in x varies: differentiation is a method to find an exact value for this rate of change at any given value of x.
If the matrix entries are real numbers, the matrix can be used to represent two linear mappings: one that maps the standard basis vectors to the rows of, and one that maps them to the columns of.
If λ < sub > 1 </ sub >, ..., λ < sub > ν </ sub > are the eigenvalues of J they will be resonant if one eigenvalue is an integer linear combination of two or more of the others.
If I told you my son's age, then there would no longer be two unknowns ( variables ), and the problem becomes a linear equation with just one variable, that can be solved as described above.
Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.
Tensor products: If C denotes the category of vector spaces over a fixed field, with linear maps as morphisms, then the tensor product defines a functor C × C → C which is covariant in both arguments.
If the object is a vector space we have a linear representation.
* If V is a normed vector space with linear subspace U ( not necessarily closed ) and if is continuous and linear, then there exists an extension of φ which is also continuous and linear and which has the same norm as φ ( see Banach space for a discussion of the norm of a linear map ).
* If V is a normed vector space with linear subspace U ( not necessarily closed ) and if z is an element of V not in the closure of U, then there exists a continuous linear map with ψ ( x ) = 0 for all x in U, ψ ( z ) = 1, and || ψ || = 1 / dist ( z, U ).
If the table size n is large enough, linear search will be faster than binary search, whose cost is O ( log n ).
If the list is stored as an ordered array, then binary search is almost always more efficient than linear search as with n > 8, say, unless there is some reason to suppose that most searches will be for the small elements near the start of the sorted list.

0.133 seconds.