[permalink] [id link]

A continuous change in T through an amount E results in a translation along an analytic arc of the curve Af.

from
Brown Corpus

## Some Related Sentences

continuous and change

Britain

**in****the**nineteenth century is**a**textbook designed `` to give**the**sense**of**__continuous__growth, to show how economic led to social, and social to political__change__, how**the**political events reacted on**the**economic and social, and how new thoughts and new ideals accompanied or directed**the**whole complicated process ''**.**
It is also seen that

**Af**, since**the**__change__from**Af**to**Af**is accomplished by**a**__continuous__**translation****.**
As

**in****the**__continuous__case,**the**__change__**of**coordinates x → x + ( 1 −**A**)< sup > – 1 </ sup > b removes**the**term b from**the**equation**.**
In

**the**natural sciences, gradualism is**a**theory which holds that profound__change__is**the**cumulative product**of**slow but__continuous__processes, often contrasted with catastrophism**.**
One major

__change__from al-Fusha is**the**use**of****a**prefix particle ( ب " bi "**in**most dialects ) to explicitly mark progressive,__continuous__, or habitual aspect: بيكتب, bi-yiktib, he is now writing, writes all**the**time, etc**.**
With respect to

**the**beginnings**of**projective geometry, Kepler introduced**the**idea**of**__continuous____change__**of****a**mathematical entity**in**this work**.**
More generally,

**the**term motion signifies**a**__continuous____change__**in****the**configuration**of****a**physical system**.**
There is no firm date for when

**the**changeover occurred, as**the**replacement**of****the**sea bed is**a**__continuous__process, though reconstruction maps often__change__**the**name from Panthalassic to Pacific around**the**time**the**Atlantic Ocean began to open**.**
It can also

__change__**a**shot**in**which**the**camera was originally stationary to one**in**which it is frequently panning, or__change__**a**single__continuous__shot into one with frequent cuts**.**
Universal indicator consists

**of****a**mixture**of**indicators such that there is**a**__continuous__color__change__from about pH 2 to pH 10**.**
The name quantum mechanics derives from

**the**observation that some physical quantities can__change__only**in**discrete amounts ( Latin quanta ), and not**in****a**__continuous__( cf**.**
The theory was contrasted against phyletic gradualism,

**the**popular idea that evolutionary__change__is marked by**a**pattern**of**smooth and__continuous____change__**in****the**fossil record**.****A**

__continuous__rocker is

**a**smooth

**curve**that does not

__change__from tip to tail, while

**a**three-stage rocker has two distinct bend points, almost like

**a**skateboard deck but not nearly as drastic

**.**

The transition from one set

**of**frequencies to**the**other may be**a**__continuous__or**a**discontinuous__change__**in****the**frequency or phase**.**
When watching

**a**film that exceeds 74 minutes, which is**the**maximum video capacity**of**one disc,**a**viewer would have to stand up and__change__**the**disc upon reaching half-way ( unless**the**discs are played on**a**VCD changer that could hold multiple discs as well as playing them automatically**in**succession ), whereas**a**single VHS can hold 3½ hours**of**__continuous__video**.**
If this is

**the**case,**the**__continuous____change__**in**social structures could bring about**a**__change__**in**social capital, which can cause changes**in**community atmosphere**.**
The exponential distribution may be viewed as

**a**__continuous__counterpart**of****the**geometric distribution, which describes**the**number**of**Bernoulli trials necessary for**a**discrete process to__change__state**.**
In contrast,

**the**exponential distribution describes**the**time for**a**__continuous__process to__change__state**.**
Intuitively,

**a**Lipschitz__continuous__function is limited**in**how fast it can__change__: for every pair**of**points on**the**graph**of**this function,**the**absolute value**of****the**slope**of****the**line connecting them is no greater than**a**definite real number ; this bound is called**the**function's " Lipschitz constant " ( or " modulus**of**uniform continuity ").
Partial Differential Equations ( PDEs ) are equations that involve rates

**of**__change__with respect to__continuous__variables**.**
Bremsstrahlung has

**a**__continuous__spectrum, which becomes more intense and shifts toward higher frequencies as**the**__change__**of****the**energy**of****the**accelerated particles increases**.**

continuous and T

If X and Y are Banach spaces over

**the**same ground field K,**the**set**of**all__continuous__K-linear maps__T__: X → Y is denoted by B ( X, Y ).
In other words, it is

**the**coarsest topology such that**the**maps__T__< sub > x </ sub > from X * to**the**base field R or C remain__continuous__**.**
The

__continuous__signal varies over time ( or space**in****a**digitized image, or another independent variable**in**some other application ) and**the**sampling process is performed by measuring**the**__continuous__signal's value every__T__units**of**time ( or space ), which is called**the**sampling interval**.**
The strongest

__continuous__field achieved with**a**resistive magnet is currently ( 2008 ) 35__T__, produced by**a**Bitter electromagnet**.**
The strongest

__continuous__magnetic field, 45__T__, was achieved with**a**hybrid device consisting**of****a**Bitter magnet inside**a**superconducting magnet**.****A**little known American inventor, Henery

__T__

**.**Stith, developed

**a**

__continuous__track prototype, which was,

**in**multiple forms, patented

**in**1873, 1880, and 1900

**.**

In May 1924, at Montlhéry, near Paris,

__T__**.**G**.**Gillett broke**the**__continuous__24-hour record**in****a**2-litre**A****.**C., fitted with special streamlined bodywork, covering**a**distance**of**1, 949**.**3 miles**.**
( X, S ) and ( X,

__T__) are distinct objects**in****the**category Top**of**topological spaces and__continuous__maps, but mapped to**the**same set X by**the**forgetful functor Top → Set**.**
For functions that vary with time, let s ( t ) be

**a**__continuous__function ( or " signal ") to be sampled, and let sampling be performed by measuring**the**value**of****the**__continuous__function every__T__seconds, which is called**the**sampling interval**.**
The set

**of**all λ for which λI-T is injective and has dense range, but is not surjective, is called**the**__continuous__spectrum**of**__T__, denoted by σ < sub > c </ sub >(__T__)**.**
If G is

**a**locally compact abelian group,**a**character**of**G is**a**__continuous__group homomorphism from G with values**in****the**circle group__T__**.**The set**of**all characters on G can be made into**a**locally compact abelian group, called**the**dual group**of**G and denoted Ĝ**.**
The group operation on

**the**dual group is given by pointwise multiplication**of**characters,**the**inverse**of****a**character is its complex conjugate and**the**topology on**the**space**of**characters is that**of**uniform convergence on compact sets ( i**.**e.,**the**compact-open topology, viewing Ĝ as**a**subset**of****the**space**of**all__continuous__functions from G to__T__.).
An equation ( z = e < sup > sT </ sup >) maps

__continuous__s-plane poles ( not zeros ) into**the**z-domain, where__T__is**the**sampling period**.**
In functional analysis,

**the**weak operator topology, often abbreviated WOT, is**the**weakest topology on**the**set**of**bounded operators on**a**Hilbert space H, such that**the**functional sending**an**operator__T__to**the**complex number < Tx, y > is__continuous__for any vectors x and y**in****the**Hilbert space**.**
In functional analysis,

**a**branch**of**mathematics,**the**strong operator topology, often abbreviated SOT, is**the**weakest locally convex topology on**the**set**of**bounded operators on**a**Hilbert space ( or, more generally, on**a**Banach space ) such that**the**evaluation map sending**an**operator__T__to**the**real number is__continuous__for each vector x**in****the**Hilbert space**.**
Nowadays,

**the**dedication**of**FM organisations to new developments and__continuous__innovation processes seems to be**the**way to stay**in**business, constantly exceeding customers ’ expectations and adding value to**the**core business**of****the**client organisation ( Mudrak,__T__., Wagenberg,**A****.**V**.**
If X is any topological space and Y is Hausdorff, then it is straightforward to show that

**the**graph**of**__T__is closed whenever__T__is__continuous__**.**
This is

**the**content**of****the**closed graph theorem: if**the**graph**of**__T__is closed**in**( with**the**product topology ), we say that__T__is**a**closed operator, and,**in**this setting, we may conclude that__T__is__continuous__**.**

continuous and through

What that spirit and attitude were we can best understand if we see more precisely how it contrasts with

**the**communist tradition with**the**longest__continuous__history,**the**one which reached Christianity by**the**way**of**Stoicism__through__**the**Church Fathers**of**Late Antiquity**.**
In many cases it is not possible to divide

**the**process into**a**finite number**of**discrete stages, since**the**state**of****the**stream is transformed**in****a**__continuous__manner__through__**the**process**.**
We hope thereby to emphasize that, from

**a**psychological standpoint,**the**effectual prevention**of**illegitimacy is**a**__continuous__long-term process involving**the**socialization**of****the**female from infancy__through__adolescence**.**
* 1918 – World War I:

**the**Battle**of**Amiens begins**a**string**of**almost__continuous__victories with**a**push__through__**the**German front lines ( Hundred Days Offensive ).
Apostolic succession is

**the**method whereby**the**ministry**of****the**Christian Church is held to be derived from**the**apostles by**a**__continuous__succession, which has usually been associated with**a**claim that**the**succession is__through__**a**series**of**bishops**.**
This

__continuous__maintenance**of**relationship between**the**individual Jew and God__through__either study, or prayer repeated trice daily, is**the**confirmation**of****the**original covenant**.**
Knights are units that require

__continuous__maintenance__through__their activation mechanism, but have**a**wide variety**of**functions**.**
In

**a**memorably long,__continuous__sequence,**the**camera moves forward__through__**the**hotel ballroom, finally focusing on**the**drummer**in****a**dance band performing**in**blackface**.**
Duddell didn't further develop his invention, but

**in**1902 Danish physicists Valdemar Poulsen and P**.**O**.**Pederson were able to increase**the**frequency produced into**the**radio range, inventing**the**Poulsen**arc**radio transmitter,**the**first__continuous__wave radio transmitter, which was used__through__**the**1920s**.**
The idea

**of**lipid flow__through__**a**__continuous__system**of**membranes and vesicles was**an**alternative to**the**various membranes being independent entities that are formed from transport**of**free lipid components, such as fatty acids and sterols,__through__**the**cytosol**.**
Importantly,

**the**transport**of**lipids__through__**the**cytosol and lipid flow__through__**a**__continuous__endomembrane system are not mutually exclusive processes and both may occur**in**cells**.**
The latter was

**a**cabinet**in**which**a**__continuous__loop**of**Dickson's celluloid film ( powered by**an**electric motor ) was back lit by**an**incandescent lamp and seen__through__**a**magnifying lens**.**
Isaacs considered that ' Unconscious phantasies exert

**a**__continuous__influence throughout life, both**in**normal and neurotic people,**the**difference lying**in****the**specific character**of****the**dominant phantasies '; Most schools**of**psychoanalytic thought would now accept that ' Both**in**analysis and life, we perceive reality__through__**a**veil**of**unconscious fantasy '.
The mathematical roots

**of****the**idea**of**fractals have been traced__through__**a**formal path**of**published works, starting**in****the**17th century with notions**of**recursion, then moving__through__increasingly rigorous mathematical treatment**of****the**concept to**the**study**of**__continuous__but not differentiable functions**in****the**19th century, and on to**the**coining**of****the**word fractal**in****the**20th century with**a**subsequent burgeoning**of**interest**in**fractals and computer-based modelling**in****the**21st century**.**
They are

__continuous____through__all concealed spaces ( e**.**g., above**a**ceiling ), but are not required to extend__through__concealed spaces if**the**construction assembly forming**the**bottom**of****the**space has**a**fire resistance rating at least equal**of****the**fire barrier wall**.**
Along with light, sound and colour effects

**the**ride moved at**a**rate**of**approximately 120 feet per minute, allowing spectators to look down__through__**a**__continuous__curved pane**of**glass towards**the**model**.**
This mass is collected by centrifugation, then transported

__through__several stages integrated**in****a**__continuous__process**.**
This understanding

**of**traditional preservation**of****the**law__through__its__continuous__interpretation lies at**the**heart**of**Klein's extensive study**of**Jewish law**.**
Ions gradually lose their energy as they travel

__through__**the**solid, both from occasional collisions with target atoms ( which cause abrupt energy transfers ) and from**a**mild drag from overlap**of**electron orbitals, which is**a**__continuous__process**.**0.769 seconds.