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expresses and solution
After the shooting of Jose Ramos-Horta ( former president of East Timor ) The Russian ministry said ; " The Russian side expresses its concern over the attempt on the life of the East Timor president, and hopes political stability in East Timor will be maintained, as a fundamental condition for a successful solution to the complicated problems it is facing.
Rather, this is simply a relation that expresses an assumption about the change of with radius in terms of the change of with radius, yielding a solution to the Lane-Emden equation.

expresses and terms
" In practical terms, the most important law in the code may well be the very first: " We enjoin, what is most necessary, that each man keep carefully his oath and his pledge ," which expresses a fundamental tenet of Anglo-Saxon law.
This expresses the mean squared displacement in terms of the time elapsed and the diffusivity.
That is, if f is a function and g is a function, then the chain rule expresses the derivative of the composite function in terms of the derivatives of f and g.
In simpler terms, this expresses the idea that an image cannot display details, peaks or troughs in color or intensity, that are smaller than one pixel.
Use of the same expansion expresses the above Lie group commutator in terms of a series of nested Lie bracket ( algebra ) commutators,
At a certain stage of development, the material productive forces of society come into conflict with the existing relations of production or — this merely expresses the same thing in legal terms — with the property relations within the framework of which they have operated hitherto.
That is, although there is no inherent contradiction between the terms, the speaker expresses the opinion that the two terms imply properties or characteristics that cannot occur together.
In 1824, Niels Henrik Abel proved the striking result that there can be no general ( finite ) formula, involving only arithmetic operations and radicals, that expresses the roots of a polynomial of degree 5 or greater in terms of its coefficients ( see Abel-Ruffini theorem ).
The last equality expresses skewness in terms of the ratio of the third cumulant κ < sub > 3 </ sub > and the 1. 5th power of the second cumulant κ < sub > 2 </ sub >.
* One could eliminate the kelvin as it can be argued that temperature simply expresses the energy per particle per degree of freedom which can be expressed in terms of energy ( or mass, length, and time ).
A discrete cosine transform ( DCT ) expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies.
A related system which expresses a number as a fraction of 1000 uses the terms " per mil " and " millage ".
This clearly excludes the possibility of having any formula that expresses the solutions of an arbitrary equation of degree 5 or higher in terms of its coefficients, using only those operations, or even of having different formulas for different roots or for different classes of polynomials, in such a way as to cover all cases.
He expresses his interest in Pearl in direct terms and she takes a strong dislike to him.
The Green party politician Bob Brown ( who was arrested by the Tasmanian state police for a conscientious act of civil disobedience during the Franklin Dam protest ) expresses world conscience in these terms: " the universe, through us, is evolving towards experiencing, understanding and making choices about its future '; one example of policy outcomes from such thinking being a global tax ( see Tobin tax ) to alleviate global poverty and protect the biosphere, amounting to 1 / 10 of 1 % placed on the worldwide speculative currency market.
In general terms, a corporate visual identity expresses the values and ambitions of an organization, its business, and its characteristics.
The term is used in opposition to declarative programming, which expresses what the program should accomplish without prescribing how to do it in terms of sequences of actions to be taken.
" With Horace and Tibullus he was on intimate terms, and Ovid expresses his gratitude to him as the first to notice and encourage his work .’ The two panegyrics by unknown authors ( one printed among the poems of Tibullus as iv.
In mathematics, the Seifert-van Kampen theorem of algebraic topology, sometimes just called van Kampen's theorem, expresses the structure of the fundamental group of a topological space, in terms of the fundamental groups of two open, path-connected subspaces and that cover.
In mathematics, Mahler's theorem, introduced by, expresses continuous p-adic functions in terms of polynomials.
* Daniel Bernoulli expresses the numbers of the Fibonacci sequence in terms of the golden ratio.
It is characteristic of him that he expresses extreme dislike of Hegel's philosophy on the ground that its terms are unintelligible.

expresses and square
Another method expresses the explicitly but requires the use of a matrix square root:
Apparently ignorant of Daniel Bernoulli's work, he was led to the incorrect, but suggestive, relationship that expresses the product of pressure P and volume V as proportional to the square of his true temperature.

expresses and coefficient
A Gini coefficient of zero expresses perfect equality where all values are the same ( for example, where everyone has an exactly equal income ).
A Gini coefficient of one ( 100 on the percentile scale ) expresses maximal inequality among values ( for example where only one person has all the income ).
where the latter, which is immediate from the recursion formula, expresses the Legendre polynomials by simple monomials and involves the multiplicative formula of the binomial coefficient.
The coefficient introduced by Wright ( 1921 ) expresses the expected percentage of homozygosity arising from a given system of breeding.
Multiple regression analysis expresses a relationship between a set of predictor variables and a single criterion variable by the multiple correlation R, multiple coefficient of determination R², and a set of standard partial regression weights β < sub > 1 </ sub >, β < sub > 2 </ sub >, etc.

expresses and matrix
Similarly, the QR decomposition expresses A as QR with Q a unitary matrix and R an upper triangular matrix.
The matrix left-division operator concisely expresses some semantic properties of matrices.
A fuzzy associative matrix expresses fuzzy logic rules in tabular form.
In matrix calculus, Jacobi's formula expresses the derivative of the determinant of a matrix A in terms of the adjugate of A and the derivative of A.

expresses and obtained
A year later, Michelle Rokke obtained footage of the vivisection of a monkey in HLS in New Jersey, in which a technician expresses concern that the animal is inadequately anaesthetized.

expresses and from
But that one should superimpose all these charts, run a pin through the common point, and then scale each planetary deferent larger and smaller ( to keep the epicycles from ' bumping ' ), this is contrary to any intention Ptolemy ever expresses.
There are more stems per item in Athabascan, which expresses the fact that the Athabascan languages have undergone somewhat more change in diverging from proto-Athabascan than the Yokuts languages from proto-Yokuts.
Since the Catholic Church expresses such desire that the Sacred Scriptures be read, the following taken from the Holy Bible ( New Catholic Edition ) will prove a means of grace and a source of great spiritual blessing.
Author James Basker states that the song has been employed by African Americans as the " paradigmatic Negro spiritual " because it expresses the joy felt at being delivered from slavery and worldly miseries.
Ares was one of the Twelve Olympians in the archaic tradition represented by the Iliad and Odyssey, but Zeus expresses a recurring Greek revulsion toward the god when Ares returns wounded and complaining from the battlefield at Troy:
The greed of a draugr causes it to viciously attack any would-be grave robbers, but the draugr also expresses an innate jealousy of the living, stemming from a longing for the things of the life it once had.
A fragment from Peterson's poem " Kuu " expresses the claim reestablishing the birthright of the Estonian language:
Enki immediately expresses concern and dispatches his Galla demons, Galaturra or Kurgarra, sexless beings created from the dirt from beneath the god's finger-nails, to recover the young goddess.
He notes that the English word " capricious " derives from it, " evoking the animal's skittish temperament ", adding that " the name neatly expresses two aspects of Frank Capra's personality: emotionalism and obstinacy.
The laissez faire principle expresses the preference for an absence of non-market pressures on prices such as those from government taxes, subsidies, tariffs, regulation ( other than protection from coercion and theft ), or government-granted or coercive monopolies.
In the Poetic Edda, a disguised Odin expresses that he fears that they may not return from their daily flights.
The first form of the equation expresses the value resulting from production, focusing on the costs and the surplus value appropriated in the process of production,.
If A is a directed set, we often write a net from A to X in the form ( x < sub > α </ sub >), which expresses the fact that the element α in A is mapped to the element x < sub > α </ sub > in X.
As an expression of the many Evangelical beliefs, ' Amazing Grace ' serves as an example: the very first stanza ( verse ) for instance expresses Newton's sense of past sinfulness, as a ' wretch ', but also conversion, from being ' lost ' and ' blind ' to ' now I see '.
The word " ontogeny " comes from the Greek ὄντος, ontos, present participle singular of εἶναι, " to be "; and from the suffix-geny, which expresses the concept of " mode of production ".
A proverb ( from ) is a simple and concrete saying popularly known and repeated, which expresses a truth, based on common sense or the practical experience of humanity.
According to Stephen Metcalf, Nozick expresses serious misgivings about capitalist libertarianism, going so far as to reject much of the foundations of the theory on the grounds that personal freedom can sometimes only be fully actualized via a collectivist politics and that wealth is at times justly redistributed via taxation to protect the freedom of the many from the potential tyranny of an overly selfish and powerful few.
The second law concerns a quantity called entropy, that expresses limitations, arising from what is known as irreversibility, on the amount of thermodynamic work that can be delivered to an external system by a thermodynamic process.
This statement is an initial property of the tensor algebra since it expresses the fact that the pair ( T ( V ), i ), where i: V → T ( V ) is the inclusion map, is an initial morphism from the vector space V to the functor U.
:"... first clearly laid down that the character and structure of a language expresses the inner life and knowledge of its speakers, and that languages must differ from one another in the same way and to the same degree as those who use them.
By borrowing heavily from numerous other languages it expresses a natural linguistic evolution ; in fact, it is as natural as the next language, as demonstrated in its exceptional capacity for absorbing foreign vocabulary.

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