The province's unspoiled natural beauty, untamed wild and economic dependence on the land and natural resources in particular are a strong embodiment of Canadian identity.

This shows in particular that is a natural number for any natural numbers n and k. There are many other combinatorial interpretations of binomial coefficients ( counting problems for which the answer is given by a binomial coefficient expression ), for instance the number of words formed of n bits ( digits 0 or 1 ) whose sum is k is given by, while the number of ways to write where every a < sub > i </ sub > is a nonnegative integer is given by.

The beak of each species is suited to the food available in its particular environment, suggesting that beak shapes evolved by natural selection.

illegal logging activities throughout the country and strip mining for gems in the western region along the border with Thailand have resulted in habitat loss and declining biodiversity ( in particular, destruction of mangrove swamps threatens natural fisheries ); soil erosion ; in rural areas, most of the population does not have access to potable water ; declining fish stocks because of illegal fishing and overfishing

A fundamental theorem due to Georg Cantor shows that it is possible for infinite sets to have different cardinalities, and in particular the set of real numbers and the set of natural numbers do not have the same cardinal number.

Both abhor waste of natural resources in particular to show off or demonstrate power.

He had particular difficulty in believing in natural selection as the main motive force in evolution.

In the United States, the term " Darwinism " is often used by creationists as a pejorative term in reference to beliefs such as atheistic naturalism, but in the United Kingdom the term has no negative connotations, being freely used as a short hand for the body of theory dealing with evolution, and in particular, evolution by natural selection.

The idea that a few people have about the gene being the target of selection is completely impractical ; a gene is never visible to natural selection, and in the genotype, it is always in the context with other genes, and the interaction with those other genes make a particular gene either more favorable or less favorable.

Thereof, the philosopher, in order to verify a particular means, or a particular statement belonging to a certain means ( e. g. the propositions of the natural sciences ) would have to ' step outside ' the means they are judging and critique them neutrally, in order to provide a foundation for adopting them.

; Flavors: Flavors are additives that give food a particular taste or smell, and may be derived from natural ingredients or created artificially.

Drawing further upon the analogy with geometric Newtonian gravity, it is natural to assume that the field equation for gravity relates this tensor and the Ricci tensor, which describes a particular class of tidal effects: the change in volume for a small cloud of test particles that are initially at rest, and then fall freely.

In the early 18th century, Nicolas Malebranche wrote " An organized body contains an infinity of parts that mutually depend upon one another in relation to particular ends, all of which must be actually formed in order to work as a whole ," arguing in favor of preformation, rather than epigenesis, of the individual ; and a similar argument about the origins of the individual was made by other 18th century students of natural history.

The best evidence of Aristotle's having thought there was a natural law comes from the Rhetoric, where Aristotle notes that, aside from the " particular " laws that each people has set up for itself, there is a " common " law that is according to nature.

The context of this remark, however, suggests only that Aristotle advised that it could be rhetorically advantageous to appeal to such a law, especially when the " particular " law of ones ' own city was adverse to the case being made, not that there actually was such a law ; Aristotle, moreover, considered two of the three candidates for a universally valid, natural law suggested in this passage to be wrong.

Identifying a particular theorist as a positivist or a natural law theorist sometimes involves matters of emphasis and degree, and the particular influences on the theorist's work.

In particular, the older natural lawyers, such as Aquinas and John Locke made no distinction between analytic and normative jurisprudence.

Okrand himself has stated that a design principle of the Klingon language was dissimilarity to existing natural languages in general, and English in particular.

Byzantine music uses the eight natural, non-tempered scales called Ēkhoi, " sounds ", exclusively, and therefore the absolute pitch of each note may slightly vary each time, depending on the particular Ēkhos used.

So Mill's initial use of the term concerned natural abilities, in contrast to the common contemporary usage, which refers solely to market failure in a particular type of industry, such as rail, post or electricity.

Mill also applied the term to land, which can manifest a natural monopoly by virtue of it being the only land with a particular mineral, etc.

If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

While the particular limits of these groupings may seem artificially arbitrary, they do fairly express a corresponding grouping of more variable material, and they eventuate also in five classes, along a similar scale, containing approximately equal numbers of cases, namely 19, 14, 15, 11, 12 in Athabascan.

An alphabetical list of chemical and mineralogical names with reference numbers enables one to find a particular crystal description.

To pick out particular numbers is something of a problem, but one or two identifiable items are too conspicuously excellent to be missed.

In particular, this applies where large numbers of amateur astronomers with small telescopes are more effective than the relatively small number of large telescopes that are available to professional astronomers.

The same argument proves that no subfield of the real field is algebraically closed ; in particular, the field of rational numbers is not algebraically closed.

These states are labeled by a set of quantum numbers summarized in the term symbol and usually associated with particular electron configurations, i. e., by occupation schemes of atomic orbitals ( e. g., 1s < sup > 2 </ sup > 2s < sup > 2 </ sup > 2p < sup > 6 </ sup > for the ground state of neon -- term symbol: < sup > 1 </ sup > S < sub > 0 </ sub >).

The shell model, developed in 1949, allowed some additional features to be explained, in particular the so-called magic numbers.

Some architectures use a particular register as an accumulator in some instructions, but other instructions use register numbers for explicit operand specification.

Virtually the only possible variation is using a different reference date, in particular one less distant in the past to make the numbers smaller.

The customary acceptance of the fact that any real number x has a decimal expansion is an implicit acknowledgment that a particular Cauchy sequence of rational numbers ( whose terms are the successive truncations of the decimal expansion of x ) has the real limit x.

Geographical numbers are often further expanded decimally to represent more specific areas, sometimes followed by a capital letter indicating a particular city.

In particular, this field contains all the numbers named in the mathematical constants article, and all algebraic numbers ( and therefore all rational numbers ).

For example, if we can enumerate all such definable numbers by the Gödel numbers of their defining formulas then we can use Cantor's diagonal argument to find a particular real that is not first-order definable in the same language.

The term became more widely assimilated into English by the mid 1950s, with long-term expatriates in significant numbers from other particular countries or regions also being referred to as a diaspora.

One point agreed on is that fractal patterns are characterized by fractal dimensions, but whereas these numbers quantify complexity ( i. e., changing detail with changing scale ), they neither uniquely describe nor specify details of how to construct particular fractal patterns.

Floating-point representation, in particular the standard IEEE format, is by far the most common way of representing an approximation to real numbers in computers because it is efficiently handled in most large computer processors.

In particular, the values of additive and multiplicative functions are determined by their values on the powers of prime numbers.

In the particular Plimpton322 example, this means that and that the three numbers do not have any common factors.

Some painters have less interest in the experience of the moment, with its attendant urgencies and ambiguities, than in looking beyond the flux of particular impressions to a higher, more serene level of truth.

The strongest appeal of the Copernican formulation consisted in just this: ideally, the justification for dealing with special problems in particular ways is completely set out in the basic ' rules ' of the theory.

and, as in the March home, any young man who called on the Szolds found himself confronted with a phalanx of femininity which made it rather difficult to direct his particular attention to any one of them.

Moreover, because of the particular blot on your family escutcheon through what may only have been one unbridled moment on your grandmother's part, and because you had the lean-to kitchen and trundle bed of your childhood to outgrow, what you obviously most desired with both your conscious and unconscious person, what you bent your whole will, sensibility, and intelligence upon, was to be a lady.

The `` conventional '' image of a particular time and place is not necessarily congruent with the image of the facts as established over the years by scholarly and scientific research.

The symposium provides an opportunity to confront the self with specific statements which were made at particular times by identifiable communicators who were addressing definite audiences -- and throughout several hundred pages everyone is talking about the same key symbol of identification.

In any inquiry into the way in which great literature affects the emotions, particularly with respect to the sense of harmony, or relief of tension, or sense of `` a transformed inner nature '' which may occur, a most careful exploration of the particular feature of the experience which produces the effect would be required.

Why did I choose to fill these pages in this particular issue with this mixture of rather tenuous reflections and autobiography??

Molotov, in particular, is being charged with all kinds of sins -- especially with wanting to cut down free public services, to increase rents and fares ; ;

The young banker looked at him with a certain surprise, and then he said flatly: `` I'm afraid I can't tell you anything in particular about Kent House.

In particular he sought the gentle, sweet-faced nuns, with head coverings and veils coming to the middle of their foreheads, remembering their expressions until he reached home and set them down on paper.

On Sundays he would walk miles into the campagna to visit with them, and in particular to see their horses.

Second, we can make assistance for particular projects conditional on the consistency of such projects with the program.

Families with children will have particular problems.

The District Courts, in the framing of equitable decrees, are clothed ' with large discretion to model their judgements to fit the exigencies of the particular case.

Perhaps the outstanding standard bearer of Mr. Brown's tradition for accuracy was Mr. Oscar J. Beale, whose mechanical genius closely paralleled that of Mr. Brown, and whose particular forte was the development of the exceedingly accurate measuring machinery that enabled Brown & Sharpe to manufacture gages, and therefore its products, with an accuracy exceeding anything then available elsewhere in the world.

The violinist, in particular, is very indulgent with swoops and slides, and his tone is pinched and edgy.

You will find a chart giving the various speed ratios available with your particular drill press somewhere in the instruction booklet that came with the tool.

By dealing with common landscape in an uncommon way, Roy Mason has found a particular niche in American landscape art.

With due consideration for the limits of precision in assessing, expected rate of change in ossification of girls age 2 years, and the known variations in rate of ossification of these children as described in our preceding paper in the Supplement, each arrow with a `` shaft length '' of four months or less was selected as indicating `` same schedule '' at Onset and Completion, for this particular epiphysis.

A number of strong independent agencies, established in some cases with governmental or royal support, have conducted large medical, social, educational and research operations in particular parts of the Congo and Ruanda-Urundi.

What with traders trading for so many different objectives, and what with there being so many unique and individualized market theories and trading techniques in use, and more coming into use all the time, it is hard to imagine how any particular theory or technique could acquire enough `` fans '' to invalidate itself.