Similarly, the term inside the integral represents the oscillations from the secondary wavelets at distances r < sub > 1 </ sub >.

) Similarly, in the case of the beaver, hunting and fur trade were thought to bring about the animal's demise, when in fact they were an integral part of its conservation.

Similarly, as seen above, the Fourier transform can be thought of as a function that measures how much of each individual frequency is present in our function ƒ, and we can recombine these waves by using an integral ( or " continuous sum ") to reproduce the original function.

Similarly, the moment of inertia of a continuous solid body rotating about a known axis can be calculated by replacing the summation with the integral:

Similarly, the group of ideles has a nontrivial translation invariant measure using which one defines a zeta integral.

Similarly for the second integral, we would introduce a " constant " function of x, because we have integrated with respect to y.

Similarly, in the case of the zeta function, the M-test justifies interchanging the integral along the closed curve and the sum.

Similarly, although mathematicians sometimes now view an integral

Similarly, Mrozowski ’ s study of rear yards associated with the Boott Mill boardinghouses and tenements that housed workers revealed that these yards mainly served practical functions and were not primarily used to grow foodstuffs, and may not have served an integral part in the daily lives of the low-wage workers hired ( 99-100 ).

Similarly, when troughs ( negative areas ) align, they also make a positive contribution to the integral because the product of two negative numbers is positive.

Similarly, it is unclear whether the protagonist's tribulations proceed from relationships with multiple lovers, or a single man, and, similarly, virtually all of the facts integral to the poem beyond the matter of genre are widely open to dispute.

Similarly, the condition that H is adapted implies that the stochastic integral will not diverge when calculated as a limit of Riemann sums.

Similarly, ' reflexivity ' is commonly used as a shorthand to refer to the circular relationship of cause and effect between structure and agency which Weber was integral in hypothesising.

Similarly, this can explain the transition from conductor to insulator in systems such as rare-earth pyrochlores as the atomic number of the rare-earth metal increases, because the lattice parameter increases ( or the angle between atoms can also change — see Crystal structure ) as the rare-earth element atomic number increases, thus changing the relative importance of the hopping integral compared to the onsite repulsion.

Similarly, as part of its role in signal transmission, perivascular spaces contain vasoactive neuropeptides ( VNs ), which, aside from regulating blood pressure and heart rate, have an integral role in controlling microglia.

Similarly, if T is a subtype of U, then there is an inclusion predicate of domain type T and codomain type U that satisfies the same equation ; there are additional function symbols associated with other ways of constructing new types out of old ones.

Similarly, some advocates argue for stronger penalties to deter the unlawful deprivation of validly registered domain names, such as fines and precluding offending trademark owners from filing cybersquatting claims for a designated period of time.

Similarly, some non-US mills use a. ac top-level domain name ( for Ascension Island ) to give the impression of a genuine second-level academic domain name ( e. g.. ac. uk ).

Similarly, Domain redirection or domain forwarding is when all pages in a URL domain are redirected to a different domain, as when wikipedia. com and wikipedia. net are automatically redirected to wikipedia. org.

Similarly, Chen Yu, a former vice chancellor of Zhao, led an uprising against the King of Changshan, Zhang Er, and seized Zhang's domain and reinstalled Zhao Xie as the King of Zhao.

Similarly, in America Online, Inc. v. LCGM, Inc., a company engaging in pornographic website advertising sent a deluge of spam to AOL's customers, and, in so doing, also forged the AOL domain name in an effort to trick customers into opening the emails.

Similarly, a blogging website might have thousands of different blogs, in which context one might view a link as " internal " only if it linked within the same blog, not to other blogs within the same domain.

Similarly to OCB, this concept emerged in response to the realization that only looking at job specific work behaviors ignored a significant portion of the job domain.

Similarly the disciples are tasked with bringing souls from sin and evil into the domain of God.

Similarly in Illinois there is Lincoln country to be seen -- his tomb and other landmarks.

Similarly, at the opposite end of the market cycle, towards the end of an intermediate or major decline, usually while the bottom is being formed on the price chart, it is characteristic that an increase is noticed in odd-lot selling again alerting the chartist that a bottom is becoming a greater likelihood.

Similarly, the American Cancer Society ( ACS ), the Arthritis and Rheumatism Foundation, and the BBB have each stated lately that medical quackery is at a new high.

Similarly, a girl who graduates with a good working knowledge of stenography and the use of clerical machines and who is able to get a job at once may wish to improve her skill and knowledge by a year or two of further study in a community college or secretarial school.

Similarly, the Italian verb corresponding to ' spell ( out )', compitare, is unknown to many Italians because the act of spelling itself is rarely needed: Italian spelling is highly phonemic.

Similarly, Helen Keller stated that " Life is either a daring adventure or nothing.

Similarly, although a subset of the real numbers that is not Lebesgue measurable can be proven to exist using the axiom of choice, it is consistent that no such set is definable.

Similarly, all the statements listed below which require choice or some weaker version thereof for their proof are unprovable in ZF, but since each is provable in ZF plus the axiom of choice, there are models of ZF in which each statement is true.

Similarly in St Peter: " Christ .. Who verily was foreordained before the foundation of the world, but was manifest in these last times for you " ( 1 Peter 1: 20 ), and " But the end of all things is at hand " ( 1 Peter 4: 7 ).

Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:

Similarly, in the Greek Magical Papyri, the term " Aion " is often used to denote the All, or the supreme aspect of God

Similarly, " suprarenal " is derived from supra-( Latin, " above ") and renes.

Similarly the freehold of a benefice, on the death of the incumbent, is said to be in abeyance until the next incumbent takes possession.

Similarly, the use of excessively high doses ( often the result of polypharmacy ) continues despite clinical guidelines and evidence indicating that it is usually no more effective but is usually more harmful.

Similarly, if the equivalents for the forms of a word do not vary, the equivalents need be entered only once with an indication that they apply to each form.

Similarly, P is said to satisfy the descending chain condition ( DCC ) if every descending chain of elements eventually terminates, or equivalently if any descending sequence

Similarly, bullets and other foreign bodies may become sources of infection if left in place.

Similarly if the jack is knocked into the ditch it is still alive unless it is out of bounds to the side resulting in a " dead " end which is replayed, though according to international rules the jack is " respotted " to the centre of the rink and the end is continued.

Similarly, if we limit the number of literals per clause to 2 and change the OR operations to XOR operations, the result is exclusive-or 2-satisfiability, a problem complete for SL = L.

Similarly, diamond dust used as an abrasive can do harm if ingested or inhaled.

Similarly, one cannot argue that Western epistemology is unjustly promoted in non-Western societies if one believes that those epistemologies are absolutely correct.

Similarly so, researchers note the potential for costly delay if developers spend too much time attempting to coerce hesitant test users from participating.

Similarly, if light consisted strictly of classical particles and we illuminated two parallel slits, the expected pattern on the screen would simply be the sum of the two single-slit patterns.

Similarly, if the house was located in an undesirable neighborhood and the Federal Reserve Bank was about to raise interest rates by five percentage points, then the risk factor would be a lot higher than 5 %: it might not be possible for him to predict a profit in discounted terms even if he thinks he could sell the house for $ 200, 000 in three years.

Similarly, if someone should die, those close to them should hold to their serenity because the loved one was made of flesh and blood destined to death.

Similarly, if only the magnetic field () is non-zero and is constant in time, the field is said to be a magnetostatic field.

Similarly, if Alice gets − z, Bob will get + z.

Similarly, if Alice's measurement result is − z, the system undergoes an orthogonal projection onto

Similarly, letters of credence may contain the name of the head of state, not the governor-general, even if it is the latter who signs and receives them ; in 2005, Canada, Australia and New Zealand changed their policies and now all letters of credence solely address the governor-general of the relevant nation, not to the sovereign.

Similarly, violation of the zone by a defending player is only penalized if they do so to gain an advantage in defending.

Similarly, if one connects two electrical resistors in parallel, one having resistance x ( e. g. 60Ω ) and one having resistance y ( e. g. 40Ω ), then the effect is the same as if one had used two resistors with the same resistance, both equal to the harmonic mean of x and y ( 48Ω ): the equivalent resistance in either case is 24Ω ( one-half of the harmonic mean ).

Similarly, if space is not described uniformly or time independently, a coordinate system could describe the simple flight of a free body in space as a complicated zig-zag in its coordinate system.

Similarly, if funding is withdrawn part way through an experiment, and the analyst must work with incomplete data, this is a possible source of bias for classical methods but not for Bayesian methods, which do not depend on the intended design of the experiment.

Similarly, if " this sentence is false " is false, then the sentence is true, which would in turn mean that it is actually false, but this would mean that it is true, and so on ad infinitum.

Similarly, if the quoted printable transfer encoding ( see below ) is used, the ASCII part of the message will be intelligible to users with non-MIME clients.