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corrugation and field
A key feature of the evaporation or field ion images is that the data density is highly inhomogeneous, due to the corrugation of the specimen surface at the atomic scale.

corrugation and zone
Random edge corrugation whose amplitude is of the same order as the width of that adjacent Fresnel zone reduces the Arago spot intensity.
Contributions from the parts of the edge whose radius has been increased by the corrugation to about the width of the adjacent Fresnel zone now destructively interfere with those contributions from the parts which have not been affected by the corrugation.

corrugation and .
The simulation includes a regular sinusoidal corrugation of the circular shape of amplitude 10 µm, 50 µm and 100 µm, respectively.
Note, that the 100 µm edge corrugation almost completely removes the central bright spot.
The edge corrugation should not be much more than 10 % of this width to see a close to ideal Arago spot.
Each crease should be parallel to the one before, crossing the hole horizontally, so that together they form a sort of pleat or corrugation.
Today the corrugation process is carried out using the process of roll forming.
In the corrugation process sheet metal is pulled off huge rolls and through rolling dies that form the corrugation.
Many materials today undergo the corrugation process.

gives and rise
As a means of silencing a discussion which ought to have taken place, the statement is an effective one: we sympathize with the universal confusion which gives rise to such convictions.
And this gives rise to an easy camaraderie probably unequaled elsewhere in the Ivy League.
Next consider the sample ( 10 < sup > 8 </ sup > + 4, 10 < sup > 8 </ sup > + 7, 10 < sup > 8 </ sup > + 13, 10 < sup > 8 </ sup > + 16 ), which gives rise to the same estimated variance as the first sample.
Included matter of a green, golden, red, black or other color or combinations embedded in the chalcedony and disposed in filaments and other forms suggestive of vegetable growth, gives rise to dendritic or moss agate.
The site is located in Section 64, on a slight rise, which gives it a view of the Pentagon.
The male gametocyte produces a large number of gametes and the zygote gives rise to an oocyst which is the infective stage.
Even for present-day neuroscience, the mechanisms by which brain activity gives rise to consciousness and thought remain very challenging to understand: despite rapid scientific progress, much about how the brain works remains a mystery.
Every Boolean algebra ( A, ∧, ∨) gives rise to a ring ( A, +, ·) by defining a + b := ( a ∧ ¬ b ) ∨ ( b ∧ ¬ a ) = ( a ∨ b ) ∧ ¬( a ∧ b ) ( this operation is called symmetric difference in the case of sets and XOR in the case of logic ) and a · b := a ∧ b. The zero element of this ring coincides with the 0 of the Boolean algebra ; the multiplicative identity element of the ring is the 1 of the Boolean algebra.
Particularly in team competition there can be a large number of bowls on the green towards the conclusion of the end, and this gives rise to complex tactics.
An identical expression to Einstein's formula for the diffusion coefficient was also found by Walther Nernst in 1888 in which he expressed the diffusion coefficient as the ratio of the osmotic pressure to the ratio of the frictional force and the velocity to which it gives rise.
This process gives rise to an inherent inefficiency in subscalar CPUs.
This requires that the instruction pipeline is filled as often as possible and gives rise to the need in superscalar architectures for significant amounts of CPU cache.
Even if the particles do not have a permanent dipole, fluctuations of the electron density gives rise to a temporary dipole in a particle.
A molecule may contain any number of stereocenters and any number of double bonds, and each gives rise to two possible configurations.
Any accelerating electric charge, and therefore any changing electric current, gives rise to an electromagnetic wave that propagates at very high speed outside the surface of the conductor.
In category theory, currying can be found in the universal property of an exponential object, which gives rise to the following adjunction in cartesian closed categories: There is a natural isomorphism between the morphisms from a binary product and the morphisms to an exponential object.
The introduction of a Riemannian metric or a symplectic form gives rise to a natural isomorphism between the tangent space and the cotangent space at a point, associating to any tangent covector a canonical tangent vector.
In the nonrelativistic case, electron degeneracy pressure gives rise to an equation of state of the form, where P is the pressure, is the mass density, and is a constant.
For example, the conservation of energy follows from the time-invariance of physical systems, and the fact that physical systems behave the same regardless of how they are oriented in space gives rise to the conservation of angular momentum.
This transition from the guild hall to the bourgeois family homes in the Protestant parts of Germany ultimately gives rise to the modern tradition as it developed in the 18th and 19th centuries.
Modern western mysticism and new age philosophy often use the term ' the Divine ' as a noun in this latter sense: a non-specific principle and / or being that gives rise to the world, and acts as the source or wellspring of life.
Modern developmental biology studies the genetic control of cell growth, differentiation and " morphogenesis ", which is the process that gives rise to tissues, organs and anatomy.
This relation gives rise to exactly two equivalence classes: one class consisting of all even numbers, and the other consisting of all odd numbers.
This oscillation at a given frequency gives rise to changing electric and magnetic fields, which then set the electromagnetic radiation in motion.

gives and strong
Treatment of terminal alkynes with a strong base gives the corresponding metal acetylides:
The film was a success, and The New York Times Bosley Crowther singled its star out for praise: " It is Mr. Cagney's performance, controlled to the last detail, that gives life and strong, heroic stature to the principal figure in the film.
The reaction with a strong base gives the corresponding enolate, often by deprotonation of the enol.
For this reason, the Ratnatraya gives a very strong emphasis to samyak dhyan ( rationality in thoughts ) and " samyak darshan " ( rationality in perception ) and not just " samyak charitra " ( rationality in conduct ).
Although moderated somewhat under Ta ' if, the Constitution gives the President a strong and influential position.
Be it the mischievous but strong minded independent girl who gives it to Prem as good as she gets or the woman willing to sacrifice her love believing she is doing the right thing, Madhuri is absolutely spot on creating one of the more memorable female characters of Hindi Cinema.
This climate is influenced by the monsoons originating from the South Atlantic ocean, which is brought into the country by the ( maritime tropical ) MT airmass, a warm moist sea to land seasonal wind. Its warmth and high humidity gives it a strong tendency to ascend and produce copious rainfall, which is a result of the condensation of water vapour in the rapidly rising air.
His reasoning for this is twofold: First, a failed check-raise gives other players the chance to see free cards that may improve their hand ; second, it makes it obvious to other players that you potentially have a very strong hand.
Straight or Flush with one pair: If you can play a face pair with an ace-face top when the straight or flush gives only a Q-x or lower top, play the strong pair with an ace-face top.
White wines from the island are extremely dry with a strong, citrus scent and mineral and iodide salt aromas contributed by the ashy volcanic soil, whereas barrel aging gives to some of the white wines a slight frankincense aroma, much like Vinsanto.
A 1989 survey found that virtually all literature promoting creation science presented the design argument, with John D. Morris saying " any living thing gives such strong evidence for design by an intelligent designer that only a willful ignorance of the data ( II Peter 3: 5 ) could lead one to assign such intricacy to chance.
This norm gives rise to a topology, called the strong topology, on X *.
The strong temperature contrast between polar and tropical air gives rise to the jet stream.
The strong temperature contrast between polar and tropical air gives rise to the jet stream.
" Moran said Vader's admonition specifically to Fett in The Empire Strikes Back — " No disintegrations " — gives Fett credibility ; he was interested in Fett because the character is " strong, silent, brutal ".
My feeling is that with Ryan Freel out there, it gives us strong defense up the middle.
Thus, treatment of concentrated solutions of ammonium salts with strong base gives ammonia.
Louis-Dreyfus played the sister of a self-involved therapist who gives her therapy online, and her performance earned her strong reviews.
This magnetic field gives rise to very strong and characteristic bursts of X-rays and gamma rays.
The crystal alignment gives the fiber high strength-to-volume ratio ( makes it strong for its size ).
Herschbach has been a strong proponent of science education and science among the general public, and frequently gives lectures to students of all ages, imbuing them with his infectious enthusiasm for science and his playful spirit of discovery.
Their habit of wedging a large food item in a crevice and then hacking at it with their strong bills gives this group its English name.
Walther was, in fact, a man of strong views ; and it is this which gives him his main significance in history, as compared to his place in literature.
These trees are intended to be grown in small gardens, and their strong apical dominance combined with a dwarfing rootstock gives a compact narrow tree with very short fruiting side branches.

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