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Page "Hausdorff dimension" ¶ 9
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For and fractals
For instance, the idea of turtle graphics is also useful in Lindenmayer system for generating fractals.
For example, since the 1970s fractals have been studied also as models for algorithmic composition.

For and occur
For example, as in pin and as in spin are allophones for the phoneme in the English language because they cannot distinguish words ( in fact, they occur in complementary distribution ).
For example, an audio amplifier with a gain given as 20 dB will have a voltage gain of ten ( but a power gain of 100 would only occur in the event the input and output impedances were identical ).
Need for presence of double coincidence of wants: For barter to occur between two people, both would need to have what the other wants.
For example, the broch ' villages ' which occur at a few places in Orkney have no parallel in the Western Isles.
For example, atmospheric air is primarily a mixture of nitrogen, oxygen, and argon, and native solid elements occur in alloys, such as that of iron and nickel.
For boiling to occur, either the dimer bonds must be broken, or the entire dimer arrangement must be vaporised, both of which increase enthalpy of vaporisation requirements significantly.
For this to occur, energy is required, as in the semiconductor the next higher states lie above the band gap.
For certain genetic strains of cholera, such as the one present during the 2010 epidemic in Haiti and the 2004 outbreak in India, death can occur within two hours of becoming ill.
* Antiphase boundaries occur in ordered alloys: in this case, the crystallographic direction remains the same, but each side of the boundary has an opposite phase: For example, if the ordering is usually ABABABAB, an antiphase boundary takes the form of ABABBABA.
For example, diodes are used in ( stepper motor and H-bridge ) motor controller and relay circuits to de-energize coils rapidly without the damaging voltage spikes that would otherwise occur.
For a map, the bifurcation will occur when there are eigenvalues of DF < sub > μ </ sub > on the unit circle.
For a flow, it will occur when there are eigenvalues on the imaginary axis.
For iron rust to occur the metal has to be in contact with oxygen and water, although chemical reactions for this process are relatively complex and not all of them are completely understood, it is believed the causes are the following:
For most organisms, the resting period is a stage of preparation during which the secretion of fluid from the moulting glands of the epidermal layer and the loosening of the underpart of the cuticle occur.
For example, if 71 events occur within 15 seconds the frequency is:
For the purposes of this article then, a fugue state would occur while one is acting out a Dissociative Fugue.
For permineralization to occur, the organism must become covered by sediment soon after death or soon after the initial decaying process.
For any given location, about half of these absolute maximum full moons will be potentially visible, as the other half occur during the day, when the full moon is below the horizon.
For the circulatory system and bone marrow in which cells can occur in a liquid suspension and not bound up in solid tissue, it makes sense for them to communicate by soluble, circulating protein molecules.
For example, illegal insider trading would occur if the chief executive officer of Company A learned ( prior to a public announcement ) that Company A will be taken over, and bought shares in Company A knowing that the share price would likely rise.
For seven months of the year, intense cold prevails, varied by furious snow storms which begin in September and occur at intervals until May.
For the Leader and Follower to interact with each other, communication needs to occur between the dance couple.
For example, in the Homininae, two chromosomes fused to produce human chromosome 2 ; this fusion did not occur in the lineage of the other apes, and they retain these separate chromosomes.
For example, one pathway may be responsible for the synthesis of a particular amino acid, but the breakdown of that amino acid may occur via a separate and distinct pathway.

For and nature
For this love of the boy for his mother is a hopeless and forbidden love, doomed by its nature.
For a dawning sense of illumination occurs in consequence of two events which, as so often in Malraux, suddenly confront a character with the existential question of the nature and value of human life.
For example, Boas studied immigrant children to demonstrate that biological race was not immutable, and that human conduct and behavior resulted from nurture, rather than nature.
For Hume, philosophy can be split into two general parts: natural philosophy and the philosophy of human nature ( or, as he calls it, " moral philosophy ").
For Hume, we assume that experience tells us something about the world because of habit or custom, which human nature forces us to take seriously.
For example, the number of solutions of an equation over a finite field reflects the topological nature of its solutions over the complex numbers.
For Friedrich Schiller aesthetic appreciation of beauty is the most perfect reconciliation of the sensual and rational parts of human nature.
For Friedrich Wilhelm Joseph Schelling, the philosophy of art is the " organon " of philosophy concerning the relation between man and nature.
For many applications where one is only concerned about rotation around one axis, it is sufficient to discard the pseudovector nature of angular momentum, and treat it like a scalar where it is positive when it corresponds to a counter-clockwise rotation, and negative clockwise.
: The Sabbath: Its Meaning For Modern Man is a work on the nature and celebration of Shabbat, the Jewish Sabbath.
If nature cannot err, then there are no paradoxes in it ; to Hobbes, the paradox is a form of the absurd, which is inconsistency: " Natural sense and imagination, are not subject to absurdity " and " For error is but a deception ...
For example, both works are soteriological and possess a high Christology, stressing Jesus ' divine nature as opposed to the human nature stressed by the Synoptic Gospels.
For example, the nature of the business entity may be one that is traded on a public market ( public company ), not traded on a public market ( a private, limited or closely held company ), owned by family members ( a family business ), or exempt from income taxes ( a non-profit, not for profit, or tax-exempt entity ).
For clarity it should be stated that SDA understanding of Soul is not that of Calvin, by " soul " SDA theologians mean the physical person ( monism ), and that no component of human nature survives death, therefore each human will be " re_created " at resurrection.
For this reason and others, many modern scientists who deal with carbon transformations are sceptical that there is a " super-charged " way to get nature to make compost rapidly.
" For classical liberalism, rights are of a negative nature — rights that require that other individuals ( and governments ) refrain from interfering with individual liberty, whereas social liberalism ( also called modern liberalism or welfare liberalism ) holds that individuals have a right to be provided with certain benefits or services by others.
For example, philosopher John D. Kenyon writes: Reason might manage to raise a doubt about the truth of a conclusion of natural inductive inference just for a moment in the study, but the forces of nature will soon overcome that artificial skepticism, and the sheer agreeableness of animal faith will protect us from excessive caution and sterile suspension of belief.
For all his successes, the nature of his proof stirred up more trouble than Hilbert could have imagined at the time.
" For the full content of divine nature lives in Christ.
For Deists, human beings can only know God via reason and the observation of nature, but not by revelation or supernatural manifestations ( such as miracles ) – phenomena which Deists regard with caution if not skepticism.
For example, it is highly US-centric because of the nature of the system, and it has been translated into far fewer languages than DDC and UDC.
For alcoholics, but not generally, it allows the use of mustum ( grape juice in which fermentation has begun but has been suspended without altering the nature of the juice ), and it holds that, " since Christ is sacramentally present under each of the species, communion under the species of bread alone makes it possible to receive all the fruit of Eucharistic grace.
They are self-conscious about speaking formally and their rhetoric is shown to be flawed, as if Euripides was exploring the problematical nature of language and communication: " For speech points in three different directions at once, to the speaker, to the person addressed, to the features in the world it describes, and each of these directions can be felt as skewed.
For the most part, the letter is personal in nature, with only the final two chapters spent addressing issues of doctrine, almost as an aside.

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