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Page "Bertrand paradox (economics)" ¶ 10
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follows and from
These publications may be secured as follows: The Annual Catalog from the Director of Admissions and other issues from the Publications Office.
In type 1 the pulmonary vein closely follows the course of the bronchus and the pulmonary artery from the periphery to the hilum.
The specificity of staining with Af was established as follows: Af specifically stained tumor sections but not sections of healthy sweet clover stems or of crown gall tumor tissue from sweet clover.
It was assumed that the shift in autonomic hypothalamic balance occurring spontaneously in neuropsychiatric patients from the application of certain therapeutic procedures follows the pattern known from the sleep-wakefulness cycle.
It then follows that Af is large enough, but this is not obvious from the above expression.
The fact that there can not be any limit points of the set except in closed intervals follows from the argument used in Lemma 1, namely, that near any tangent point in the C-plane the curves C and Af are analytic, and therefore the difference between them must be a monotone function in some neighborhood on either side of the tangent point.
Since the complex of singular lines is of order K and since there is no complex of invariant lines, it follows from the formula Af that the order of the involution is Af.
A final class of exceptional lines is identifiable from the following considerations: Since no two generators of Af can intersect, it follows that their image curves can have no free intersections.
Consider what follows from the positivist view.
Our staff man cabled from Turin as follows --
The configuration of these electrons follows from the principles of quantum mechanics.
For finite sets X, the axiom of choice follows from the other axioms of set theory.
And the axiom of global choice follows from the axiom of limitation of size.
This belief follows the theology of St. Paul: For it is by grace you have been saved, through faith — and this not from yourselves, it is the gift of God, not by works, so that no one can boast.
Although Dirac did not himself use the term antimatter, its use follows on naturally enough from antielectrons, antiprotons, etc.
For Hume, every effect only follows its cause arbitrarily — they are entirely distinct from one another.
The book of Acts follows just the opposite motion, taking the scene from Jerusalem ( chs.
The distance formula on the plane follows from the Pythagorean theorem.
Today, Methodism follows this ancient Alexandrian practice as bishops are elected from and by the order of the presbyterate: the Discipline of the Methodist Church, in ¶ 303, affirms that " ordination to this ministry is a gift from God to the Church.
This conservation law mathematically follows from continuous directional symmetry of space ( no direction in space is any different from any other direction ).
The debate might be framed starkly as follows: on the one hand, we can hypothesise a poem put together from various tales concerning the hero ( the Grendel episode, the Grendel's mother story, and the firedrake narrative ).

follows and repeated
*" I once put it rather pungently, and I was flattered that the British Foreign Secretary repeated this, as follows: ... namely, in early times, it was easier to control a million people, literally it was easier to control a million people than physically to kill a million people.
Isidore of Seville ( c. 560 – 636 AD ) described the use of the symbol as follows: " The obelus is appended to words or phrases uselessly repeated, or else where the passage involves a false reading, so that, like the arrow, it lays low the superfluous and makes the errors disappear ...
The plot follows the downfall of Xaver Bolwieser, a railway stationmaster submitted to the will of his domineering unfaithful wife, whose repeated infidelities completely ruin Bolwiser ’ s life.
which can be rewritten as follows, using the chain rule for repeated applications of the definition of conditional probability:
Sensitisation is an example of non-associative learning in which the progressive amplification of a response follows repeated administrations of a stimulus ( Bell et al., 1995 ).
A list, ordered by date of birth ( and, if the date is either unspecified or repeated, ordered alphabetically by surname ) of births in 1900 of literary figures, authors of written works or literature-related individuals follows, including nationality and year of birth.
A list, ordered by date of death ( and, if the date is either unspecified or repeated, ordered alphabetically by surname ) of deaths in 1900 of literary figures, authors of written works or literature-related individuals follows, including nationality and year of birth.
A codetta follows to conclude the exposition, then the exposition is repeated.
More generally, if an irreducible ( non-zero ) polynomial f in F does not have distinct roots, not only must the characteristic of F be a ( non-zero ) prime number p, but also f ( X )= g ( X < sup > p </ sup >) for some irreducible polynomial g in F. By repeated application of this property, it follows that in fact, for a non-negative integer n and some separable irreducible polynomial g in F ( where F is assumed to have prime characteristic p ).
The plot primarily follows the adventures of a character known only as Our Heroine as she attempts to solve the mystery of her friend's murder while repeated flashbacks detail her family's past adventures in the underground Icelandic kingdom of Vanaheim.
What follows is a more extended transition featuring three repeated eighth-notes as in the opening of the Allegro.
Results of the repeated second round are as follows:
Al-Baghdaadi described an early scientific method emphasizing repeated experimentation, influenced by Ibn Sina, as follows:
The story follows the repeated clashing of the four groups as the siblings, who can be called the main characters, try to figure out who to trust ( the Gilgamesh who appear to want a better world, the Countess and the Orga-Superior, who are fighting the Gilgamesh and trying to prevent what they believe is the end of humanity, or the Mitleid Corporation who are the only ones trying to tell the children the truth ).
The rhyme scheme and stanzaic structure are as follows ( a capitalized letter indicates a line repeated verbatim ):
It should be noted, however, that the performance accurately follows the printed score, and undergoes no such " sweeping transformations ", its only three cuts being of a minor nature, namely the first presentation of " Another temple waits Thee, Lord divine " by the Trebles, " Come unto Him, all ye that labour " by the Baritone soloist, and the organ " March to Calvary ", music which in each case is later repeated by the chorus.
" The song follows a traditional verse-chorus-verse structure ; when Kiedis begins singing, Frusciante jumps into a funk-oriented riff that is repeated throughout the verse while Flea plays a complex bass-line that makes use of virtually the entire fretboard.
The prayer that follows has been repeated word for word millions of times, but some scholars believe that Jesus was here giving a general guideline for what prayers should contain rather than a specific prayer.
A tam-tam hit follows the coda, at the end of which the grupetto, played by the strings in a slower time, is repeated with a prophetic insistence, strengthened by the brass and percussion instruments.

follows and interaction
The bidirectional reflectance distribution function ( BRDF ) expresses a simple model of light interaction with a surface as follows:
For the QED interaction Lagrangian,, describing the interaction of a fermionic field with a bosonic gauge field, the Feynman rules can be formulated in coordinate space as follows:
The theoretical interaction of pulse width and dead zone can be summarised as follows:
The theory is that a stimulus follows its individual dedicated neural path in the early stages of visual processing, and that intense or repetitive activity in that or interaction with active adjoining channels cause a physiological imbalance that alters perception.
This follows from a previous result for the free electron gas, which is a model of non-interacting electrons, whereas the fluid which we are studying contains a Coulomb interaction.
The gameplay in Kimi ga Nozomu Eien follows a branching plot line which offers pre-determined scenarios with courses of interaction, and focuses on the appeal of the eight female main characters by the player character.
It follows that the mean potential energy associated to the interaction of the given particle with the rest of the gas is
While motion-based, often reflexive, actions are required, the gameplay still follows a number of adventure game genre tropes ( gathering items, exploration of and interaction with one's environment, often including an overworld connecting areas of importance, and puzzle-solving ).
Since the interaction energies between A and B are almost equal, it follows that there is a very small overall energy ( enthalpy ) change when the substances are mixed.
The gameplay in To Heart follows a plot line which offers pre-determined scenarios with courses of interaction, and focuses on the appeal of the eight female main characters.
At this point Einstein brings into play the first screen as well and argues as follows: since the incident particles have velocities ( practically ) perpendicular to the screen S < sub > 1 </ sub >, and since it is only the interaction with this screen that can cause a deflection from the original direction of propagation, by the law of conservation of impulse which implies that the sum of the impulses of two systems which interact is conserved, if the incident particle is deviated toward the top, the screen will recoil toward the bottom and vice-versa.
The analysis that follows illustrates the difficulty caused by the nonlinearity, namely, that it causes interaction between large and small scales, preventing separation of scales.
Elbow ’ s reasoning behind this concept of multiple drafts follows the idea that, “ if he learns to maximize the interaction among his own ideas or points of view, he can produce new ones that didn ’ t seem available to him .”
Teaching at International House schools follows the " communicative method ", which focuses on student to student interaction and use of new structures and vocabulary, as opposed to the teacher-centred approach of traditional language teaching.
Forms of relation and interaction in sociology and anthropology may be described as follows: first and most basic are animal-like behaviors, i. e. various physical movements of the body.
The areas of interaction are as follows:
The gameplay in To Heart 2 follows a branching plot line with multiple endings, which offers pre-determined scenarios and courses of interaction based on the player's decisions.
The movie follows a member of the motorcycle club, and his interaction with his parents after he gets in trouble with the police.
He follows the writings of the French social psychologist, Gabriel Tarde, in conceptualizing the public sphere as an arena of interaction among media, conversation, opinion and action.
Humans willingly ascribe social awareness to computers, and thus interaction with embodied agents follows social conventions, similar to human / human interactions.
The gameplay in Da Capo follows a plot line which offers pre-determined scenarios with courses of interaction, and focuses on the appeal of the seven female main characters.

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