For instance, a large body of water that may be referred to as a " lake " elsewhere, can often ( but not uniformly ) be referred to as a pond.

For instance, any isometry ( distance-preserving map ) between metric spaces is uniformly continuous.

For Newton, " the common centre of gravity of the Earth, the Sun and all the Planets is to be esteem'd the Centre of the World " ( Proposition 12, corollary ), and that this centre " either is at rest, or moves uniformly forward in a right line " ( Proposition 11 & preceding Hypothesis ).

For proper bonding of the toner, the fuser roller must be uniformly hot.

For example, if a glass of water has sodium ions ( Na < sup >+</ sup >) dissolved uniformly in it, and an electric field is applied across the water, then the sodium ions will tend to get pulled by the electric field towards one side.

For example, if X is a continuous random variable uniformly distributed on 1 and Y

For small Biot numbers, the approximation of spatially uniform temperature within the object can be used: it can be presumed that heat transferred into the object has time to uniformly distribute itself, due to the lower resistance to doing so, as compared with the resistance to heat entering the object.

For Newton it was not precisely the centre of the Sun or any other body that could be considered at rest, but " the common centre of gravity of the Earth, the Sun and all the Planets is to be esteem'd the Centre of the World ", and this centre of gravity " either is at rest or moves uniformly forward in a right line " ( Newton adopted the " at rest " alternative in view of common consent that the centre, wherever it was, was at rest )

For those interested in the mathematics, the following is a very approximate order-of-magnitude estimate of the likelihood of alignments, assuming a plane covered with uniformly distributed " significant " points.

For example, a molecule of water is polar because of the unequal sharing of its electrons between oxygen and hydrogen in which the former has larger electronegativity than the latter, resulting in a " bent " structure, whereas methane is considered nonpolar because the carbon shares the electrons with the hydrogen atoms almost uniformly.

For example, suppose that ƒ < sub > 1 </ sub >, ƒ < sub > 2 </ sub >, ... is a sequence of holomorphic functions, converging uniformly to a continuous function ƒ on an open disc.

For effective sterilization, steam needs to penetrate the autoclave load uniformly, so an autoclave must not be overcrowded, and the lids of bottles and containers must be left ajar.

For example, G. esculenta collected from Europe is " almost uniformly toxic ", compared to rarer reports of toxicity from specimens collected from the US west of the Rocky Mountains.

* For X a compact smooth manifold, π < sup > p </ sup >( X ) is isomorphic to the set of homotopy classes of smooth maps X → S < sup > p </ sup >; in this case, every continuous map can be uniformly approximated by a smooth map and any homotopic smooth maps will be smoothly homotopic.

For most of the 19th and 20th centuries, the United Kingdom uniformly used the long scale, while the United States of America used the short scale, so that the two systems were often referred to as British and American in the English language.

For a function between metric spaces, it is equivalent to admit a modulus of continuity that is either concave, or subadditive, or uniformly continuous, or sublinear ( in the sense of growth ).

* In general, the modulus of continuity of a uniformly continuous function on a metric space needs to take the value For instance, the function such that is uniformly continuous with respect to the discrete metric on, and its minimal modulus of continuity is for any positive integer, and otherwise.

For example, the Hölder real-valued functions on a metric space are characterized as those functions that can be uniformly approximated by Lipschitz functions with speed of convergence while the almost Lipschitz functions are characterized by an exponential speed of convergence

For uniformly random point sets it is possible to compute minimum spanning trees as quickly as sorting.

For Delisle, Quebecers were not uniformly anti-semitic ; anti-semitism was a disease of Quebec intellectuals rather than of the common people, part and parcel of their condemnation of the vices of liberalism, modernity, urbanism, not to mention movies and jazz music and other aspects of American culture, all of which they saw as dangers to their conception of the ideal Quebec society.

For instance, if f: → R is a continuous function, then it is uniformly continuous.

For values with imaginary part between-1 and 1, the arctangent function is holomorphic, and it is easily seen that the series converges uniformly on compact sets in the region with imaginary part between-1 / 2 and 1 / 2, leading to a holomorphic function on this domain.

For a given set X, two metrics d < sub > 1 </ sub > and d < sub > 2 </ sub > are called topologically equivalent ( uniformly equivalent ) if the identity mapping

For example, tickets are printed or magnetized on the spot, and coffee is freshly concocted.

For example, in 1785, Christoph Wilhelm Hufeland, a medical practitioner living in Weimar – where he became part of Goethe ’ s intellectual circle – concerns himself with Mesmer und sein Mesmerismus ; a quarter of a century later, while he is the medical head at Berlin ’ s Charité and chief physician of Frederick William III, Hufeland writes about the existence of a Sympathie which, in nature, has " the effect of connecting everything together, in so doing going on to also explain the most unique relationship which holds together magnetizing therapist and magnetized patient.

For a vector expressed in cylindrical coordinates as

For objects and scalar fields the cylindrical symmetry implies vertical planes of reflection.

For a D whistle, this includes notes from the second D above middle C to the fourth D above middle C. It is possible to make sounds above this range, by blowing with sufficient force, but, in most musical contexts, the result will be loud and out of tune due to a cylindrical bore.

For some of the longer guns, the exterior of the cartridge is conveniently made in a cone shape, the coned form being produced by building up layers outside a cylindrical core.

For example, with standard loads, the 458 Winchester Magnum ( 45-caliber, cylindrical, 3. 36-inches overall length ) is about twice as powerful as the 45-90-120 Sharps ( 45-caliber, cylindrical, 4. 16-inches overall length ).

For example we have a cylindrical object for instance a finger and wish to compute the normal on a line on the object.

For example, as thicker insulation is added to a cylindrical pipe, the outer radius of the pipe-and-insulation system increases, and therefore surface area increases.

For the case of a sphere in a uniform far field flow, it is advantageous to use a cylindrical coordinate system ( r, φ, z ).

For protection from the high temperatures produced and to stabilize the airflow, a cylindrical glass shield called the globe or chimney is placed around the mantle.

For example, the Gaussian curvature of a cylindrical tube is zero, the same as for the " unrolled " tube ( which is flat ).

For example, in ( early ) tensor analysis elasticity, namely Young's Modulus, should not change simply because we measure it with tensile testing of a rectangular object ( a bar ) or cylindrical one ( a rod ).

For a simple cylindrical lens, the surfaces of the lens are portions of a cylinder's surface.

For an unknown reason, when the chemical composition of the water is slightly altered, the single crystal structure can change from a cylindrical shape to a conical one.

* For SAAM ( 2007 ), Holzer's first cylindrical column of light and text created from white electronic LEDs, featuring texts from four of the artist's series — Truisms, Living ( selections ), Survival ( selections ) and Arno -; commissioned by the Smithsonian American Art Museum

For example, the flat Hister beetles are found under bark, while the cylindrical beetles are not.

For instance, if the delay is set to a few milliseconds, a comb filter can be used to model the effect of acoustic standing waves in a cylindrical cavity or in a vibrating string.

For vectors ( in particular the current density ) we have symmetry in every plane perpendicular to the cylinder, as well as cylindrical symmetry.

For drawn metal wires the cylindrical fiber axis turned out as the sample direction around which preferred orientation is typically observed ( see below ).

For cylindrical pressure vessels, the normal loads on a wall element are the longitudinal stress, the circumferential ( hoop ) stress and the radial stress.

For example, in the case of cylindrical Couette flow with positive Rayleigh discriminant, there are no axisymmetric instabilities.

For cylindrical or rectangular necks, we have

For dams or foundation construction, cylindrical metal structures are used.

For an appropriate choice of almost complex structure, punctured holomorphic curves ( of finite energy ) in it have cylindrical ends asymptotic to the loops in the mapping torus corresponding to fixed points of the symplectomorphism.