Removing the usual brace between the bell and a valve body allows the use of a sliding bell ; the player may then tune the horn with the bell while leaving the slide pushed in, or nearly so, thereby improving intonation and overall response.

Removing the causes of chronic inflation, the reform architects argued, was a precondition for all other reforms: Hyperinflation would wreck both democracy and economic progress, they argued ; they also argued that only by stabilizing the state budget could the government proceed to dismantle the Soviet planned economy and create a new capitalist Russia.

" Removing the mask is a sanity-shattering experience ; the King's face is described as " inhuman eyes in a suppurating sea of stubby maggot-like mouths ; liquescent flesh, tumorous and gelid, floating and reforming.

Removing the scar is one treatment option ; however, it may result in more severe consequences: the probability that the resulting surgery scar will also become a keloid is high, usually greater than 50 %.

The Spoon was bought by Clement Kynnersley, Yeoman of the Removing Wardrobe, for sixteen shillings when Cromwell ordered the destruction of the new regalia ; the Spoon, probably dating from the thirteenth century, is thus the oldest element of the Regalia.

Removing these mappings would greatly improve general system performance ; at WWDC ' 96, engineers claimed that the performance of system calls would be as much as 50 % faster.

Removing these phosphates prevents the DNA from ligating ( the 5 ' end attaching to the 3 ' end ), thereby keeping DNA molecules linear until the next step of the process for which they are being prepared ; also, removal of the phosphate groups allows radiolabeling ( replacement by radioactive phosphate groups ) in order to measure the presence of the labeled DNA through further steps in the process or experiment.

Removing the restroom, wheelchair space, and center doors allowed these cars to carry more passengers than the full service cars ; the trailers are numbered 201 – 210.

Removing some clear juice increases the concentration of colour and flavour compounds from the skins in the remaining juice intended for making red wine ; the resulting rosé is known as a saignée ( bled ).

The first rule allows Ss to multiply ; the second rule allows Ss to become enclosed by matching parentheses ; and the third rule terminates the recursion.

Hilbert's work had started logic on this course of clarification ; the need to understand Gödel's work then led to the development of recursion theory and then mathematical logic as an autonomous discipline in the 1930s.

These images, such as of his canonical Mandelbrot set pictured in Figure 1 captured the popular imagination ; many of them were based on recursion, leading to the popular meaning of the term " fractal ".

PL / I's principal domains are data processing, numerical computation, scientific computing, and systems programming ; it supports recursion, structured programming, linked data structure handling, fixed-point, floating-point, complex, character string handling, and bit string handling.

More generally, one can define objects by transfinite recursion on any well-founded relation R. ( R need not even be a set ; it can be a proper class, provided it is a set-like relation ; that is, for any x, the collection of all y such that y R x must be a set.

The features used to achieve Turing completeness can be quite different ; Fortran systems would use loop constructs or possibly even goto statements to achieve repetition ; Haskell and Prolog, lacking looping almost entirely, would use recursion.

In combinatorics, they provide representations of numerical sequences and of multisets, and for instance allow giving concise expressions for recursively defined sequences regardless of whether the recursion can be explicitly solved ; this is known as the method of generating functions.

In this context, a fixed point of F is an index e such that ; the function computed by such an e will be a solution to the original recursion equations.

The theorem does not guarantee that e is an index for the smallest fixed point of the recursion equations ; this is the role of the first recursion theorem described below.

The use of Turing machines here is not necessary ; there are many other models of computation that have the same computing power as Turing machines ; for example the μ-recursive functions obtained from primitive recursion and the μ operator.

These algorithms can be implemented more efficiently than general divide-and-conquer algorithms ; in particular, if they use tail recursion, they can be converted into simple loops.

For example, an FFT algorithm could stop the recursion when the input is a single sample, and the quicksort list-sorting algorithm could stop when the input is the empty list ; in both examples there is only one base case to consider, and it requires no processing.

Structural recursion is usually proved correct by structural induction ; in particularly easy cases, the inductive step is often left out.

Levinson recursion remains popular for several reasons ; for one, it is relatively easy to understand in comparison ; for another, it can be faster than a superfast algorithm for small n ( usually n < 256 ).

The use of second-order arithmetic also allows many techniques from recursion theory to be employed ; many results in reverse mathematics have corresponding results in computable analysis.

System T extends the simply typed lambda calculus with a type of natural numbers and higher order primitive recursion ; in this system all functions provably recursive in Peano arithmetic are definable.

Another method is sometimes called the Mad Libs method: it involves the creation of templates for various sentence structures, and filling in the blanks with noun phrases or verb phrases ; these phrase-generation procedures can be looped to add recursion, giving the output the appearance of greater complexity and sophistication.

Thus there is one set V < sub > α </ sub > for each ordinal number α ; V < sub > α </ sub > may be defined by transfinite recursion as follows:

)" L. K. Schubert's 1974 paper " Iterated Limiting Recursion and the Program Minimization Problem " studied the effects of iterating the limiting procedure ; this allows any arithmetic predicate to be computed.

The Principle of Recursion ; 3.

Too many people think that the primary purpose of a higher education is to help you make a living ; ;

The strong feeling is certainly there ; ;

Since the Supreme Court's decision of that year this is more doubtful ; ;

Their own easier, slower tempo is especially dear to Southerners ; ;

BMEWS intelligence is simultaneously flashed to NORAD ( North American Air Defense Command ) in Colorado Springs, Colorado, for interpretation ; ;

They include the Navy's Atlantic Command at Norfolk, Virginia, which is in contact with the Polaris subs ; ;

The aborigine is not deceived ; ;

In spots such as the elbows and knees the second skin is worn off and I realized the aborigines were much darker than they appeared ; ;

For one thing, there is a natural belt of rock across the river bed ; ;

for example, the mode of bravery to this anonymous folk poem: `` They brought me news that Spring is in the plains And Ahmad's blood the crimson tulip stains ; ;

`` It is easy for you to talk '' ; ;

It is interesting, however, that despite this strong upsurge in Southern writing, almost none of the writers has forsaken the firmly entrenched concept of the white-suited big-daddy colonel sipping a mint julep as he silently recounts the revenue from the season's cotton and tobacco crops ; ;

This is not to say that the South is no longer agrarian ; ;