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Page "Minimal surface" ¶ 10
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Some Related Sentences

Note and bubbles
Note also that the visible bubbles in carbonated water are not the dissolved gas, but only an effervescence of carbon dioxide that has come out of solution ; the dissolved gas itself is not visible since it is dissolved on a molecular level.

Note and are
( Note: So far as State Police cars are concerned, only their replacement is under this division ).
( Note how strongly the upper lats and serratus are worked in this fine exercise because of the pin-point concentration of force which the dumbbell variation affords ).
( Note: Because of light leakage from one ultraviolet source to another, the lights are switched by a commutator-like assembly rotated by a synchronous motor.
Note that there are 3 trials of interest.
Quite other feelings are evidenced by this style: Af Note the drop to pitch 1 ( the lowest ) on mother with no rise at the end of the sentence ; ;
Note that the scripts mentioned above are not considered proper alphabets, as they all lack characters representing vowels.
( Note that by designating cardinal directions for 1 ,-1,, and, complex numbers such as are considered constructible.
Examples of algebraic integers are,, and ( Note, therefore, that the algebraic integers constitute a proper superset of the integers, as the latter are the roots of monic polynomials for all
Note, however, that the fifth article did not completely deny perseverance of the saints ; Arminius, himself, said that " I never taught that a true believer can … fall away from the faith … yet I will not conceal, that there are passages of Scripture which seem to me to wear this aspect ; and those answers to them which I have been permitted to see, are not of such as kind as to approve themselves on all points to my understanding.
* Note that most ancient Roman sources are quite critical of Agrippina the Younger, because she was seen as stepping outside the conservative Roman ideals regarding the roles of women in society.
Note that this is not the same as a monophyly in which all descendants of a common ancestor are included.
Note: because Solar System bodies are never perfect diffuse reflectors, astronomers use empirically derived relationships to predict apparent magnitudes when accuracy is required.
Note that the 64x16 TRS-80 mode screen uses only a small part of the monitor screen, because the letters are the same size as the 80 × 25 CP / M screen, this was one of the things that was soon after fixed with the redesign to a commercial product
Note that it is often rational to improve a system in an order that is " non-optimal " in this sense, given that some improvements are more difficult or consuming of development time than others.
Note, however, that many municipal bonds are callable, and that this imposes substantial additional risks to the strategy.
Note: This table represents active equipment only ; there are large numbers of equipment in reserve status.
Note however that both in algebra and model theory the binary operations considered are defined on all of S × S.
Note that the requirement that the maps be continuous is essential ; if X is infinite-dimensional, there exist linear maps which are not continuous, and therefore not bounded.
Note: Concentrations of Cr ( VI ) in US municipal drinking water supplies reported by EWG are within likely, natural background levels for the areas tested and not necessarily indicative of industrial pollution ( CalEPA Fact Sheet ), as asserted by EWG.
Note that arrows between categories are called functors, subject to specific defining commutativity conditions ; moreover, categorical diagrams and sequences can be defined as functors ( viz.
Note that although the carbonate salts of most metals are insoluble in water, the same is not true of the bicarbonate salts.
Note the position of the hydroxyl group ( red or green ) on the anomeric carbon relative to the CH < sub > 2 </ sub > OH group bound to carbon 5: they are either on the opposite sides ( α ), or the same side ( β ).
( Note that the sets are open in the subspace topology even though they are not open as subsets of R .)

Note and minimal
Note: Step ( in the description below ) is defined as: a transfer / change of weight to the opposite foot while hopping ( this is usually minimal ; almost more of a scoot than a literal hop ).
Note that this kind of " rationality " does not say that the individual's actual goals are " rational " in some larger ethical, social, or human sense, only that he tries to attain them at minimal cost.
Note, they have a minimal effect on the contractile forces of the ventricular muscle due to sparse innervation of the ventricles from the parasympathetic nervous system.
The promised geometric property of reflexive Banach spaces is the following: if C is a closed non-empty convex subset of the reflexive space X, then for every x in X there exists a c in C such that || x − c || minimizes the distance between x and points of C. ( Note that while the minimal distance between x and C is uniquely defined by x, the point c is not.
Note that, in a minimal k-coloring of any graph G, contracting each color class of the coloring to a single vertex will produce a complete graph K < sub > k </ sub >.

Note and surfaces
Note that these depictions of two-dimensional surfaces are merely easily visualizable analogs to the 3-dimensional structure of ( local ) space.
Note that for orientable compact surfaces without boundary, the Euler characteristic equals, where is the genus of the surface: Any orientable compact surface without boundary is topologically equivalent to a sphere with some handles attached, and counts the number of handles.
Note that this property is local: there might exist other surfaces that minimize area better with the same global boundary.
Note that the ( partial ) derivatives of curves and surfaces are vectors that have a direction and a magnitude.
Note that because of the presence of the cross product, the above formulas only work for surfaces embedded in three dimensional space.
Note that while this discussion was in terms of 2D curves, much of this logic also extends to 3D surfaces, each patch of which is defined by a net of curves in two parametric directions, typically called u and v. A surface may be composed of one or more surface patches in each direction.
( Note: friction force OPPOSES sliding of two surfaces in contact.
A Post-it note ( or Sticky Note ) is a piece of stationery with a re-adherable strip of adhesive on the back, designed for temporarily attaching notes to documents and other surfaces.
Note that the generic surface is of general type: in the moduli space of surfaces, 2 components have Kodaira dimension below 1, while all other components have Kodaira dimension 1.
Note this method of always sampling a random ray in the normal's hemisphere only works well for perfectly diffuse surfaces.
Note that if and are functions of three variables instead of two, the equation above will be nonlinear and will specify orthogonal surfaces.
Note that with this formula, if is a function of three variables its level sets are surfaces, and the family of curves are orthogonal to the surfaces.

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