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The related but different uniform word problem for a class K of recursively presented groups is the algorithmic problem of deciding, given as input a presentation P for a group G in the class K and two words in the generators of G, whether the words represent the same element of G. Some authors require the class K to be definable by a recursively enumerable set of presentations.
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Some Related Sentences
related and different
Therefore employment and education in all the schools in a metropolitan area are related in different ways from those which are characteristic of the comprehensive high school described in my first report.
It has been said that twelve cases related in The Labours of Hercules ( 1947 ) must refer to a different retirement, but the fact that Poirot specifically says that he intends to grow marrows indicates that these stories also take place before Roger Ackroyd, and presumably Poirot closed his agency once he had completed them.
Since complex scalar fields admit two different kinds of annihilation operators, which are related by conjugation, such fields describe charged bosons.
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number.
Pendragon ( acquired in 1998 by Green Knight Publishing, and 2005 by White Wolf ), while related, has sufficiently different mechanics that it can be seen as a separate system.
If the algorithm is an asymmetric one, the enciphering key is different from, but closely related to, the deciphering key.
Theoretical understanding of condensed matter physics is closely related to the notion of emergence, wherein complex assemblies of particles behave in ways dramatically different from their individual constituents.
Croquignole was also a synonym of pichenotte, a word that gave its name to the different but related games of pichenotte and pitchnut.
In an issue related to size limitations, Sunday comics are often bound to rigid formats that allow their panels to be rearranged in several different ways while remaining readable.
Following the development of research techniques in molecular biology in the late 20th century, in particular methods for studying DNA-DNA hybridisation, a great deal of new information has surfaced, much of it suggesting that many birds, although looking very different from one another, are in fact more closely related than was previously thought.
Though both are similar in appearance and have similar ecological roles, the New World and Old World Vultures evolved from different ancestors in different parts of the world and are not closely related.
Because of consilience, the strength of evidence for any particular conclusion is related to how many independent methods are supporting the conclusion, as well as how different these methods are.
As Hox genes code for transcription factors, this causes different activated combinations of both Hox and other genes in discrete anteroposterior transverse segments of the neural tube ( neuromeres ) and related patterns in surrounding tissues, such as branchial arches, lateral mesoderm, neural crest, skin and endoderm, in the head to tail direction.
A normalised design will often store different but related pieces of information in separate logical tables ( called relations ).
This is sometimes referred to as spectral coherence, as it is related to the presence of different frequency components in the wave.
Both fields are simply different aspects of electromagnetism, and hence are intrinsically related.
It has been suggested that the apparent variations in marine biodiversity may actually be an artifact, with abundance estimates directly related to quantity of rock available for sampling from different time periods.
With most IIR transfer functions there are related transfer functions having a frequency response with the same magnitude but a different phase ; in most case the so-called minimum phase transfer function is preferred.
He replaced the traditional curriculum with integrated learning units based on core themes related to the knowledge of different disciplines.
There are several Erlang formulae, including Erlang B, Erlang C and the related Engset formula, based on different models of user behavior and system operation.
The increase in volume over time has affected different areas within the brain unequally-the temporal lobes, which contain centers for language processing have increased disproportionately, as has the prefrontal cortex which has been related to complex decision making and moderating social behavior.
If the estimate of were not significantly different from 0, we would fail to find evidence that changes in the growth rate and unemployment rate were related.
Some groups may have multiple FAQ on related topics, or even two or more competing FAQ explaining a topic from different points of view.
There is also evidence from different studies that show age related changes in memory.
related and uniform
The head of state will, regardless of actual authority, perform ceremonial duties related to the country's armed forces, and will sometimes appear in military uniform for these purposes ; particularly in monarchies where also the monarch's consort and other members of a royal family may also appear in military garb.
All command names and parameter keywords are based upon uniform standardized and mostly 3-letter abbreviations for verbs and subjects, making for easy rendering and interpretation by the application developer, as opposed to other operating systems with often cryptic or inconsistent command names for related functions or command parameter switches.
* Luus – Jaakola is a closely related optimization method using a uniform distribution in its sampling and a simple formula for exponentially decreasing the sampling range.
Calotes is distinguished from related genera in having uniform size dorsal scales, and lacking a fold of skin extending between the cheek and shoulder, and in having proportionately stronger limbs than Pseudocalotes.
The HTML example may require a series of progressive interrelated algorithms to account for various patterns of tag elements and content that conforms to a uniform style and is consistent in application across various instances as evidenced by the markup_beauty. js application component used to beautify HTML, XML, and related technologies for the Pretty Diff tool.
Modern molecular biology has shown that genetic rates of change are relatively uniform and not well related to morphological change rates.
Some current French regiments, related to the French colonial history, still retain cummerbunds as part of their full dress uniform ( notably the French Foreign Legion and the Spahis ).
As he related in his autobiography, Rum, Bum and Concertina, he was crestfallen to discover that he would not be sent to a ship and was thus denied the " bell-bottom " uniform he desired.
Albert Einstein proposed this principle for his special theory of relativity ; however, that theory was limited to space-time coordinate systems related to each other by uniform relative motions only, the so-called " inertial frames.
This theme is represented, in particular, by considerable progress on the Novikov conjecture and the Baum-Connes conjecture and the development and study of related group-theoretic notions such as topological amenability, asymptotic dimension, uniform embeddability into Hilbert spaces, rapid decay property, and so on ( see, for example ,).
The Franks, who were divided into two groups: the Salian Franks and the Ripuarian Franks, probably spoke a range of related dialects and languages rather than a single uniform dialect or language.
As commissioner, he organized a secret service for intelligence gathering, instituted annual training classes, increased pay rates, revised regulations related to marriage, formed two squadrons to fight in the First World War and approved changes to the uniform, with perhaps the formal adoption of the Stetson hat in 1901 being the most noted.
The band is not funded or related to the police force but do have permission to use their name and uniform.
Weil stated the messages were " friendly banter " and of a " mentoring kind ... 99 percent " were benign and school related, but acknowledged how some messages could be seen as " questionable ", especially such messages regarding the students uniform as " hot " or replying " sounds hot " when the student said he was taking probiotic supplements.
Coastal Pacific birds tend to be brighter in coloration than those of the interior, but all are patterned in blue, white and gray, though none as uniform in color as the related Mexican Jay.
In topology and related areas of mathematics a uniformly connected space or Cantor connected space is a uniform space U such that every uniformly continuous function from U to a discrete uniform space is constant.
Search engines can then index them to make relevant materials related to the event searchable in a uniform way.
In functional analysis and related areas of mathematics a polar topology, topology of-convergence or topology of uniform convergence on the sets of is a method to define locally convex topologies on the vector spaces of a dual pair.
It is easily confused with the related Dryopteris dilatata ( Broad Buckler Fern ), differing in the usually smaller fronds, and in the pale brown scales on the frond stem being more uniform in colour, rarely having a dark central stripe.
A related conjecture called the uniform real Schanuel's conjecture essentially says the same but puts a bound on the integers m < sub > i </ sub >.
Another related definition is simply a substance that is uniform in composition.
Other than the mane, the fur is relatively uniform in color, and, in particular, the males lack the patch of bright fur found on the back of other, closely related, sloths.
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