Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.

In their names, S stands for substitution, N for nucleophilic, and the number represents the kinetic order of the reaction, unimolecular or bimolecular.

* The cofinality of the real numbers with their usual ordering is ℵ < sub > 0 </ sub >, since N is cofinal in R. The usual ordering of R is not order isomorphic to c, the cardinality of the real numbers, which has cofinality strictly greater than ℵ < sub > 0 </ sub >.

* The set of natural numbers N with the ordinary order ≤ is a directed set ( and so is every totally ordered set ).

The complexity of such a system is specified by its order N. N is often a constraint on the design of a transfer function since it specifies the number of reactive components in an analog circuit ; in a digital IIR filter the number of computations required is proportional to N.

The convolution integral ( or summation ) above need only extend to the full duration of the impulse response T, or the order N in a discrete time filter.

The complexity of any such filter is given by the order N, which describes the order of the rational function describing the frequency response.

A discrete-time FIR filter of order N. The top part is an N-sample delay line ; each delay step is denoted z < sup >- 1 </ sup >.

An N < sup > th </ sup > order FIR filter can be implemented in a discrete time system using a computer program or specialized hardware in which the input signal is subject to N delay stages.

When the news of Ribbentrop's remarks was leaked to the Polish press despite Colonel Beck's order to the censors on 27 March, it caused anti-German riots in Poland with the local N. S. D. A. P headquarters in the ethnically mixed town of Lininco destroyed by a mob.

For example, N < sub > 2 </ sub >, with eight electrons in bonding orbitals and two electrons in antibonding orbitals, has a bond order of three, which constitutes a triple bond.

It is the simplest numeral system to represent natural numbers: in order to represent a number N, an arbitrarily chosen symbol representing 1 is repeated N times.

He suggested that the United States should be prepared to go to war with the United Kingdom in order to annex the entire Oregon Country up to Russian-owned Alaska at latitude 54 ° 40 ′ N.

( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.

`` I have just come from viewing a man who had made the fortune of his country, but now is working all night in order to support his family '', he reflected.

A new order is thrusting itself into being.

As his disciples boast, even though his emphasis is elsewhere, Faulkner does show his awareness of the changing order of the South quite keenly, as can be proven by a quick recalling of his Sartoris and Snopes families.

Yet his concern even here is with a slowly changing socio-economic order in general, and he never deals with such specific aspects of this change as the urban and industrial impact.

The resulting picture might appear a maze of restless confusions and contradictions, but it is more true to life than a portrait of an artificially contrived order.

An order can be chanced rather than chosen, and this approach produces an experience that is `` free and discovered rather than bound and remembered ''.

The `` approximate '' is important, because even after the order of the work has been established by the chance method, the result is not inviolable.

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.

Accordingly, it is the aim of this essay to advance a new theory of imitation ( which I shall call mimesis in order to distinguish it from earlier theories of imitation ) and a new theory of invention ( which I shall call symbol for reasons to be stated hereafter ).

In order to exonerate himself, he is compelled to find the real criminal, who happens to be his girl friend.

For this change is not a change from one positive position to another, but a change from order and truth to disorder and negation.

For paradigmatic history `` breaks '' rather than unfolds precisely when the movement is from order to disorder, and not from one order to a new order.

Seemingly, order is perceived as a kind of subsistent entity now covered by adventitious accretions.

The problem is to remove the accretions and thereby uncover the order that was always there.

Such a response, of course, misses the point that in crisis order is going out of existence.

Moreover its posture of stubborn but simple resistance is doomed to failure because of the metaphysical weakness of the existent form of order, once the activation of change has reached visible proportions.

It is not implied that formal principles and procedures are so firmly entrenched within the public order of the world community or even of free commonwealths that they will control in all circumstances involving Jews and Gentiles during coming years.

At this point a working definition of idea is in order, although our first definition will have to be qualified somewhat as we proceed.

Here an important caveat is in order.

It is not possible to reconstruct fully the arrangements whereby these honors lists were then made up or even how the names that they contained assumed the order in which we find them.

Like ours, the economy of the space merchants must constantly expand in order to survive, and, like ours, it is based on the principle of `` ever increasing everybody's work and profits in the circle of consumption ''.

A friend of mine in New Mexico said the Court order had caused no particular trouble out there, that all had gone as merry as a marriage bell.

The potters, in particular, had virtually eschewed freehand drawing, elaborate motifs, and the curving lines of nature, while yet expressing a belief that there was order in the universe.

Emerson, in his lecture, refers to the `` startling experience which almost every person confesses in daylight, that particular passages of conversation and action have occurred to him in the same order before, whether dreaming or waking, a suspicion that they have been with precisely these persons in precisely this room, and heard precisely this dialogue, at some former hour, they know not when ''.

Some alphabets today, such as the Hanuno ' o script, are learned one letter at a time, in no particular order, and are not used for collation where a definite order is required.

Christie made a point of having Poirot supply false or misleading information about himself or his background in order to assist him in obtaining information relevant to a particular case.

We do not know whether this case resulted in a successful prosecution or not ; moreover, Poirot is not above lying in order to produce a particular effect in the person to whom he is speaking, so this evidence is not reliable.

Other researchers relate archaeoastronomy to the history of science, either as it relates to a culture's observations of nature and the conceptual framework they devised to impose an order on those observations or as it relates to the political motives which drove particular historical actors to deploy certain astronomical concepts or techniques.

In parallel with these philosophies Thomism continued under the protection of the Catholic Church ; in particular, the Jesuit order.

For the most part, Bayer assigned Greek and Latin letters to stars in rough order of apparent brightness, from brightest to dimmest, within a particular constellation.

In no particular order, here are at least some items that have been regarded as categories of being by someone or other:

Of particular note, programs that were placed within the top 10 % of all size programs in that field based on an average of the R95 and S95 rank order include Aeronautics, Astrophysics, Biochemistry and Molecular Biophysics, Bioengineering, Biology, Chemical Engineering, Chemistry, Electrical Engineering, Environmental Science and Engineering, Geology, Geophysics, Materials Science, Mechanical Engineering, Physics, Planetary Science, and Social Science ( Economics ).

In order to achieve credible improvisation in particular style, machine improvisation uses machine learning and pattern matching algorithms to analyze existing musical examples.

The superficial consistency of most beetles ' morphology, in particular their possession of elytra, has long suggested that the Coleoptera are monophyletic, but there is growing evidence that this is unjustified, there being arguments for example, in favour of allocating the current suborder Adephaga their own order, or very likely even more than one.

Sizing is categorized by the diameter of the hook's shaft, and a crafter aims to create stitches of a certain size in order to reach a particular gauge specified in a given pattern.

This can serve to apply the correct conventions used for alphabetical ordering in the language in question, dealing properly with differently cased letters, modified letters, digraphs, particular abbreviations and so on, as mentioned above under Alphabetical order, and in detail in the Alphabetical order article.

* A set is an abstract data structure that can store specific values, without any particular order, and no repeated values.

Around 1900, Germany in particular was taking a more aggressive stance towards the territory and was accused of sabotage and of obstructing the administrative process in order to force the issue.

In order to solve such problems it is above all necessary that capital be withdrawn from particular undertakings and applied in other lines of production ... is essentially a matter of the capitalists who buy and sell stocks and shares, who make loans and recover them, who speculate in all kinds of commodities ”

1 Esdras, probably from the late 2nd / early 1st centuries BCE, preserves a Greek text of Ezra and a part of Nehemiah distinctly different from that of Ezra-Nehemiah-in particular it eliminates Nehemiah from the story and gives some of his deeds to Ezra, as well as telling events in a different order.

In Scots Law, Davie v Magistrates of Edinburgh ( 1953 ) provides authority that where a witness has particular knowledge or skills in an area being examined by the court, and has been called to court in order to elaborate on that area for the benefit of the court, that witness may give evidence of his opinion on that area.