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Page "Recurrence relation" ¶ 157
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is and homogeneous
Who will say that our country is even now a homogeneous community??
Folklore is individually created art that a homogeneous group of people preserve, vary and recreate through oral transmission.
The adult aardwolf is primarily solitary while foraging for food, necessary because of the scarcity and homogeneous distribution of their insect prey.
They can be further classified as homogeneous ( consisting of a single phase ), or heterogeneous ( consisting of two or more phases ) or intermetallic ( where there is no distinct boundary between phases ).
Next we assume that the medium is homogeneous ; in the sense that the time averaged variables
Next we assume that the medium is homogeneous, i. e.,
Often, the fact that sometimes only a thin surface layer of violet color is present in the stone or that the color is not homogeneous makes for a difficult cutting.
Compared to English as spoken in England, North American English is more homogeneous.
It is an evolution from the heterogeneous to the homogeneous, and is clearly another step in the upward path of development .”
As a homogeneous legal substance isolated in a system of jurisprudence, the administrative law of Ukraine is characterized as: 1 ) a branch of law ; 2 ) a science ; 3 ) a discipline.
Therefore being is a homogeneous and non-differentiated sphere and the appearance of beings is illusory.
The cosmological principle states that on large scales the Universe is homogeneous and isotropic.
BV can be asymptomatic in almost half of affected women, however the most common symptom of BV is an abnormal homogeneous off-white vaginal discharge ( especially after vaginal intercourse ) that may be accompanied by an unpleasant ( usually fishy ) smell.
This is because the distinction between " dissolved " and " particulate " matter can be sometimes a matter of approach, which affects whether or not it is homogeneous or heterogeneous.
First, its mix consistency is fluid and homogeneous, allowing it to be poured into forms rather than requiring hand-layering together with the placement of aggregate, which, in Roman practice, often consisted of rubble.
One is that there is no compelling reason, using current particle physics, to expect the universe to be flat, homogeneous and isotropic ( see the cosmological principle ).
Cluster sampling is a sampling technique used when " natural " but relatively homogeneous groupings are evident in a statistical population.
For inorganic chemists, homogeneous catalysis is often synonymous with organometallic catalysts.
The advantage of homogeneous catalysts is the ease of mixing them with the reactants, but they may also be difficult to separate from the products.
In spectroscopy, it is the description of the shape of spectral lines which are subject to homogeneous broadening in which all atoms interact in the same way with the frequency range contained in the line shape.

is and recurrence
For such an online algorithm, a recurrence relation is required between quantities from which the required statistics can be calculated in a numerically stable fashion.
Psychotherapy is aimed at alleviating core symptoms, recognizing episode triggers, reducing negative expressed emotion in relationships, recognizing prodromal symptoms before full-blown recurrence, and, practicing the factors that lead to maintenance of remission Cognitive behavioural therapy, family-focused therapy, and psychoeducation have the most evidence for efficacy in regard to relapse prevention, while interpersonal and social rhythm therapy and cognitive-behavioural therapy appear the most effective in regard to residual depressive symptoms.
Adjuvant chemotherapy ( postoperative treatment ) can be used when there is little evidence of cancer present, but there is risk of recurrence.
For systems where the volume is preserved by the flow, Poincaré discovered the recurrence theorem: Assume the phase space has a finite Liouville volume and let F be a phase space volume-preserving map and A a subset of the phase space.
The recurrence of rheumatic fever is relatively common in the absence of maintenance of low dose antibiotics, especially during the first three to five years after the first episode.
This is shown by the recurrence of such words and phrases as:
In mathematical terms, the sequence F < sub > n </ sub > of Fibonacci numbers is defined by the recurrence relation
It is essential to face and prevent the recurrence of crises such as that
These results, however, are very sensitive to the accuracy of the twiddle factors used in the FFT ( i. e. the trigonometric function values ), and it is not unusual for incautious FFT implementations to have much worse accuracy, e. g. if they use inaccurate trigonometric recurrence formulas.
One way to find that analytic continuation is to use Euler's integral for positive arguments and extend the domain to negative numbers by repeated application of the recurrence formula,
The gamma function must alternate sign between the poles because the product in the forward recurrence contains an odd number of negative factors if the number of poles between and is odd, and an even number if the number of poles is even.
" it is seen that when Wimsey is caught by a severe recurrence of his WWI shell-shock and nightmares, being taken care of by Bunter, the two of them revert to being " Major Wimsey " and " Sergeant Bunter ".
The logistic map is a polynomial mapping ( equivalently, recurrence relation ) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations.
This is partly based on risk of recurrence, but the internal / external divide is problematic.
The recurrence interval for a nova is less dependent on the white dwarf's accretion rate than on its mass ; with their powerful gravity, massive white dwarfs require less accretion to fuel an outburst than lower-mass ones.
Many other types of solid tumors will be found to be very highly labeled on a case-by-case basis — a fact that becomes especially useful in searching for tumor metastasis, or for recurrence after a known highly active primary tumor is removed.
The simultaneous treatment of all close contacts is recommended, even if they show no symptoms of infection ( asymptomatic ), to reduce rates of recurrence.
The generator is defined by the recurrence relation:
The Mersenne twister is a pseudorandom number generator developed in 1997 by and that is based on a matrix linear recurrence over a finite binary field.
This recurrence often occurs in times of relative immunosuppression, which is often in the context of malnutrition and other illnesses.

is and which
It is also possible, but equally doubtful, that he actually shot down the hundreds of men with which his legend credits him.
Let me pass over the trip to Sante Fe with something of the same speed which made Mrs. Roebuck `` wonduh if the wahtahm speed limit '' ( 35 m.p.h. ) `` is still in ee-faket ''.
The place is inhabited by several hundred warlike women who are anachronisms of the Twentieth Century -- stone age amazons who live in an all-female, matriarchal society which is self-sufficient ''.
It is the last of the three tests of manhood which the women impose, to discover if a male is worthy of survival there.
It took thirty of our women almost six moons to build this one, which is higher and stronger than the old one.
`` I'd like to know just which it is that those guys don't understand, the liquor or automobiles ''.
The woman eyed the youth with the avidity a coin collector might display toward a rare doubloon which is not yet in his collection.
It is these other differences between North and South -- other, that is, than those which concern discrimination or social welfare -- which I chiefly discuss herein.
It became the sole `` subject '' of `` international law '' ( a term which, it is pertinent to remember, was coined by Bentham ), a body of legal principle which by and large was made up of what Western nations could do in the world arena.
Of greater importance, however, is the content of those programs, which have had and are having enormous consequences for the American people.
Recognizing that the Rule of Law is `` a dynamic concept which should be employed not only to safeguard the civil and political rights of the individual in a free society '', the Congress asserted that it also included the responsibility `` to establish social, economic, educational and cultural conditions under which his legitimate aspirations and dignity may be realized ''.
For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.
That is particularly true of sovereignty when it is applied to democratic societies, in which `` popular '' sovereignty is said to exist, and in federal nations, in which the jobs of government are split.

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