
Review of Short Phrases and Links 
This Review contains major "Limits" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives and integrals.
 Limits are the easiest way to provide rigorous foundations for calculus, and for this reason they are the standard approach.
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 Limits are introduced not by formal definition but by means of examples of sufficient cogency to make the concept seem worthwhile and useful.
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 Limits are not specified, but changes in engine requirements according season and location are discussed.
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 Limits are often placed on the degree to which the interest rate or the payments can vary.
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 The Bad The cost is higher then most, the bandwidth limits are low.
 This also means that you will not hit the bandwidth limits.
 In addition to the lack of features, there also exist limits on bandwidth and disk storage.
 Generic limits in the woody members in particular are unsatisfactory, but the limits of genera like Lysimachia are also unclear (Anderberg et al.
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 In such a design, the gutter must be positioned a particular distance below the drip edge, which also limits the ability to retrofit the drip edge assembly.
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 As noted above, a topos is a category C having all finite limits and hence in particular the empty limit or final object 1.
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 The extreme cases: products and all finite limits; equality types; discussion of the meaning of quantifiers with respect to equality types.
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 Large Baltic herring slightly exceeds recommended limits with respect to PCB and dioxin.
 Caps  Limits on changes in ARM interest rates or monthly payments, either in an adjustment period or over the life of the loan.
 All strength in life has its limits and this limit was amply exceeded by the Resistance, in almost inhuman endurance.
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 Of course there must be limits to what we will accept, but so far neither our society nor our way of life is under threat.
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 With the VPS, the truth is there are limits of processes, but you are not limited in sending email messages.
 Recall that the population parameter will lie between the upper and lower limits of the confidence interval.
 The limits in these examples exist, but have different values, showing that the twovariable function x y has no limit at the point (0,0).
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 The dual version of this statement (for homotopy limits and homotopy pullbacks) is discussed in more detail in the examples below.
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 The Rules of Civil Procedure govern how interrogatories are to be written and served, and establishes limits on the number of questions that can be included.
 The limits of the inquiry as to facts are determined by the pleadings and the rules of evidence.
 It was then asserted that equity was bounded by no certain limits or rules, and that it was alone controlled by conscience and natural justice.
 BOUNDARIES  The perimeters or limits of a parcel of land as fixed by legal description which is usually a metes and bounds description.
 Bugs will be fixed as soon as possible, within the limits of the DSpace team's technical support resources.
 The eastern limits of Hashtadan had been previously fixed as far north as the Hari Rud river at Toman Agha.
 Significance An effect is significant if the value of the statistic used to test it lies outside acceptable limits i.e.
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 The 95% CL Mean columns are the confidence limits for the expected value of each observation.
 The value of the renewtill field may still be limited by local limits, or limits selected by the individual principal or server.
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 Once again, if this ratio falls within prescribed limits, the lender will qualify you for the loan.
 Ask your lender for details and confirmation of current limits.
 Loan officer An official representative of a lending institution who is empowered to act on behalf of the lender within certain limits.
 Without this finding, term limits might be constitutional under the Time, Place and Manner clause of the Constitution.
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 The Mayor and members of the Board of Supervisors are subject to term limits under the San Francisco Charter.
 News that Tom Golisano will oppose the change to term limits was, initially, seen as a boost to critics of the plan.
 Term limits for the Supreme Court: life tenure reconsidered.
 January 30: The Supreme Court of Canada upholds a law allowing parents to spank their children within "reasonable limits".
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 Once the photographer has determined the exposure, aperture stops can be traded for halvings or doublings of speed, within limits.
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 The size of the telescope's objective lens, or aperture, limits the amount of power that can be used effectively.
 The aperture for a binocular, spotting scope or monocular is fixed and limits the amount of light gathered through an optical lens.
 Jumbo Loan  A loan for $417,000 or more in the continental United States (Alaska and Hawaii limits are higher).
 States can set their own limits as long as these limits are not higher than the federal ones.
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 Conforming Loan  A mortgage loan for up to $417,000 in the continental United States (Alaska and Hawaii limits are higher).
 Second, specific types of engines have lower limits on their efficiency due to the inherent irreversibility of the engine cycle they use.
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 There are also certain guarantees about the existence of limits and colimits in the context of comma categories.
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 A way of ensuring the existence of limits of infinite series as above is to restrict attention to complete vector spaces, i.e.
 In fact, many academics consider it a rigorous justification for the existence and limits of the state.
 Those limits are not relevant to the claim that there is no bijection between N and the set of functions from N to {0,1}.
 It was alleged that plaintiff had offered to settle the claim within the policy limits and defendant, acting in bad faith, had refused to do so.
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 A dependent claim refers back to and further limits another claim or claims.
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 The Rules of Thumb do not describe the outer limits of fair use; they describe a "safe harbor" within the bounds of fair use.
 This would mean an older Universe (greater than 14 Ga) and would mean that the oldest galaxies now detected lie inside the limits of the knowable Cosmos.
 We are not saying that the bservations all lie between mean  SD and mean + SD. In fact, we expect about one third of them to be outside these limits.
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 What is the mean of X*Y The two functions are not independant and have limits from 0 to infinity.
 In particular, the statement that a series {W n } limits to W as n goes to infinity, means that Pr{W n  W}=1.
 The category Top is both complete and cocomplete, which means that all small limits and colimits exist in Top.
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 And you only need finite limits and colimits, which means that you can define a notion of "field" internal to any category with finite limits and colimits.
 The limits in this case are not infinite, but rather undefined: there is no value that g(x) settles in on.
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 Ashcroft, a case that will test the limits of Congress's power to extend the term of copyrights.
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 In that case, the property will never be entered into an MLS. Naturally, that limits the exposure of the property to only one agency.
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 Daily price limits set by the exchanges are subject to change.
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 Because these maximums are linked to the conforming loan limit and average area home prices, FHA loan limits are periodically subject to change.
 This means you can continue to deduct the interest you pay on your home mortgage, subject to the limits described in this publication.
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 The CLM option requests that PROC REG display the % lower and upper confidence limits for the mean predicted values.
 The values a and b, the endpoints of the interval, are called the limits of integration of f.
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 The United States, as a society which values the role of law, has legally defined limits on the power of government.
 Although tables have usually a builtin safety margin, one shouldn't dive to the limits.
 As you can see from the exposure limits in the tables (Table 4), as the inspired oxygen partial pressure increases, the exposure time decreases.
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 RELRISK
requests relative risk measures and their confidence limits for 2 ×2 tables.
 While there are limits to the size of FHA loans, they are generous enough to handle moderatepriced homes almost anywhere in the country.
 While there are limits to the loan amount of FHA loans, they are generous enough to handle moderatelypriced homes almost anywhere in the country.
 Also, South Holland is a "dry" town; that is, no alcohol is sold anywhere within the city limits.
 The aperture and the size of the Airy disk determine the limits of the scope to resolve two close point sources.
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 This was compounded by a policy of only signing Basque players which exists to this day; this severely limits the scope of transfer targets.
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 Specification or Respect: Limits the scope of a verb or an adjective.
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 L. Rev. 1105, 1110 (1990) ("The doctrine of fair use limits the scope of the copyright monopoly in furtherance of its utilitarian objective.
 He, blessed be His name, has not confined Himself within the narrow limits of any school of doctrine, high, low, or moderate.
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 The doctrine of equivalents has certain limits.
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 So long as the doctrine of equivalents does not encroach beyond the limits just described, or beyond related limits to be discussed infra, at 1115, 20, n.
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 We may discover resources on the moon or Mars that will boggle the imagination, that will test our limits to dream.
 For slightly over nine years the extreme limits of the moon are outside the range of sunrise.
 Weight limits forced so much material to be left on the Moon.
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 The highest altitude of the Moon on a day varies and has nearly the same limits as the Sun.
 Whilst you can drive your car onto Lantau, the road system is limited and much of the island is zoned as a national park and is off limits to vehicles.
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 Much of Lantau is zoned as a national park and is off limits to vehicles without a permit.
 He wants to undo an annexation, which made the speedway, and the land around it that had been zoned for motorsports, part of the city limits.
 Short descriptions and examples for limits, derivatives, and integrals.
 If some quantities are computed as integrals over energy or another physical quantity, these cutoffs determine the limits of integration.
 Lines, algebraic functions, exponential functions, logarithmic functions, limits, derivatives, and integrals, with applications.
 See also: Table of limits, list of integrals of logarithmic functions.
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 Since many common constructions in mathematics are limits or colimits, this provides a wealth of information.
 The branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables.
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 In mathematics, the direct limit (also called the inductive limit) is a general method of taking limits of "directed families of objects".
 Neoclassical economics usually assumes that marginal changes are infinitesimals or limits.
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Definition
 I believe we can accept a definition which limits the set of formal and technical rules mentioned to the sphere of popular music.
 Limits of nets of Riemann sums, in the definition of the Riemann integral.
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 The existence of limits of Cauchy sequences is what makes calculus work and is of great practical use.
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 Further, all Cauchy sequences with respect to the norm converge to limits in B.
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 This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to Part 15 of the FCC Rules.
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 As your desire to dive deeper and stay longer expands, you leave the realm of recreational diving and the no decompression limits that you were taught.
 AB5*) A satisfies AB3*), and filtered limits of exact sequences are exact.
 Functors that preserve finite limits are often said to be left exact.
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 Consumer safeguard which limits the amount the interest rate on an adjustable rate mortgage loan (ARM) can change over the life of the loan.
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 Once the initial term is over, the interest rate on an ARM loan may go up within specified limits over predetermined intervals during the course of the loan.
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 Limits how much the interest rate or the monthly payment can increase, either at each adjustment or during the life of the mortgage.
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 When we dive on air we have to consider nitrogen narcosis and No Decompression Limits (NDL) when planning dives.
 Deaths attributed to nitrogen narcosis occur mostly among sport divers who exceed recreational limits.
 Use of heliumbased breathing gases such as trimix reduces nitrogen narcosis and stays below the limits of oxygen toxicity.
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 Exceeding the operational limits of a gas can cause problems with either nitrogen narcosis or oxygen toxicity.
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 Also, Steve Lewis has posted some great articles on his blog about managing oxygen exposure, Daily Limits for Oxygen Toxicity and About Oxygen Part One.
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 A payment cap limits how much the payment due on the loan can increase or decrease.
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 The payment cap limits the amount the payment can increase or decrease for each adjustment period.
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