( 3 ) For anionics, these micelles appear to be roughly spherical assemblages in which the hydrocarbon tails come together so that the polar groups ( the ionized ends ) face outward towards the aqueous continuous phase.

For this reason, many social philosophers have considered coercion as the polar opposite to freedom.

For example, most species of bears are actually omnivorous, except for the giant panda, which is almost exclusively herbivorous, and the carnivorous polar bear.

For example, a point on the unit circle in the plane can be specified by two Cartesian coordinates, but one can make do with a single coordinate ( the polar coordinate angle ), so the circle is 1-dimensional even though it exists in the 2-dimensional plane.

For thousands of years, the polar bear has been a key figure in the material, spiritual, and cultural life of Arctic indigenous peoples, and polar bears remain important in their cultures.

In Method of Fluxions ( written 1671, published 1736 ), Sir Isaac Newton examined the transformations between polar coordinates, which he referred to as the " Seventh Manner ; For Spirals ", and nine other coordinate systems.

For example, if r and θ are polar coordinates and

For example, fluorosurfactants powerfully reduce surface tension by concentrating at the liquid-air interface due to the lipophobicity of fluorocarbons, due to the polar functional group added to the fluorocarbon chain.

For example, human food webs, agricultural food webs, detrital food webs, marine food webs, aquatic food webs, soil food webs, Arctic ( or polar ) food webs, terrestrial food webs, and microbial food webs.

For polar orbits and Molniya orbits this does not apply.

For an oblate ellipsoid, the polar radius of curvature is larger than the equatorial

For example, OH < sup >-</ sup > is a better nucleophile than water, and I < sup >-</ sup > is a better nucleophile than Br < sup >-</ sup > ( in polar protic solvents ).

For multi-loop integrals that will depend on several variables we can make a change of variables to polar coordinates and then replace the integral over the angles by a sum so we have only a divergent integral, that will depend on the modulus and then we can apply the zeta regularization algorithm, the main idea for multi-loop integrals is to replace the factor after a change to hyperspherical coordinates so the UV overlapping divergences are encoded in variable r. In order to regularize these integrals one needs a regulator, for the case of multi-loop integrals, these regulator can be taken as so the multi-loop integral will converge for big enough's ' using the Zeta regularization we can analytic continue the variable's ' to the physical limit where s = 0 and then regularize any UV integral.

For eight years, Beaufort directed the Arctic Council during its search for the explorer, Sir John Franklin, lost in his last polar voyage to search for the legendary Northwest Passage.

For example, in a polar covalent bond like HCl, the shared electron oscillates between the bonded atoms.

For observers at moderate latitudes, who can see the sky near the celestial pole of their hemisphere better than that nearer the horizon, this may be a good reason to prefer a planisphere made with the polar azimuthal equidistant projection method.

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, the incidence of < sup > 18 </ sup > O ( the heavy isotope of oxygen ) can be used as an indicator of polar ice sheet extent, and boron isotopes are key indicators of the pH and CO < sub > 2 </ sub > content of oceans in the geologic past.

For example, if the same covariant derivative is written in polar coordinates in a two dimensional Euclidean plane, then it contains extra terms that describe how the coordinate grid itself " rotates ".

For goods with Marshallian demand function generated from a utility function of Gorman polar form, the Engel curve has a constant slope.

For Australia to be in its current position, the polar shift theory of a northern boundary in the east would have to be put into effect.

For example, Chakalov published an article titled “ Our Father ” soon after becoming the first person to fly from Moscow to the United States via a polar route.

For each of twenty pairs of polar opposite trait terms ( e. g. “ friendly — unfriendly ”) subjects either ranked the person on a discrete scale or chose “ depends on the situation ”, allowing the subject to “ not make a dispositional ascription .” Based on third-party Q-Sort personality descriptions of the subjects, certain negative personality traits were correlated with those subjects who tended to ascribe dispositions to others, while traits such as “ charming ”, “ interesting ”, and “ sympathetic ” were associated with those who preferred not to ascribe traits.

For example, when liquid water starts freezing, the phase change begins with small ice crystals that grow until they fuse, forming a polycrystalline structure.

For example, selenite crystals in excess of 10 meters are found in the Cave of the Crystals in Naica, Mexico.

For historical reasons, many point defects, especially in ionic crystals, are called centers: for example a vacancy in many ionic solids is called a luminescence center, a color center, or F-center.

For example, air hoar is a deposit of hoar frost on objects above the surface, such as tree branches, plant stems, wires ; surface hoar is formed by fernlike ice crystals directly deposited on snow, ice or already frozen surfaces ; crevasse hoar consists of crystals that form in glacial crevasses where water vapour can accumulate under calm weather conditions ; depth hoar refers to cup shaped, faceted crystals formed within dry snow, beneath the surface.

For basis vector in the context of crystals, see crystal structure.

For example, lead zirconate titanate crystals will generate measurable piezoelectricity when their static structure is deformed by about 0. 1 % of the original dimension.

For the non-polar, but piezoelectric crystals, on the other hand, a polarization P different from zero is only elicited by applying a mechanical load.

For single crystals of sufficient purity and regularity, X-ray diffraction data can determine the mean chemical bond lengths and angles to within a few thousandths of an angstrom and to within a few tenths of a degree, respectively.

For these crystals the series resistance is specified (< 100 Ω ) instead of the parallel capacitance.

For crystals operated at series resonance or pulled away from the main mode by the inclusion of a series inductor or capacitor, significant ( and temperature-dependent ) spurious responses may be experienced.

For long distance fibre communication, typically at 1310 nm or 1550 nm, yttrium iron garnet crystals are used ( YIG ).

For example, this is the case with macroscopic crystals of calcite, which present the viewer with two offset, orthogonally polarized images of whatever is viewed through them.

For instance, the small calcite crystals in the sedimentary rock limestone and chalk change into larger crystals in the metamorphic rock marble, or in metamorphosed sandstone, recrystallization of the original quartz sand grains results in very compact quartzite, also known as metaquartzite, in which the often larger quartz crystals are interlocked.

For the special case of simple cubic crystals, the lattice vectors are orthogonal and of equal length ( usually denoted a ); similarly for the reciprocal lattice.

For cubic crystals with lattice constant a, the spacing d between adjacent ( ℓmn ) lattice planes is ( from above ):

: For the Cannabis-related crystals, see Kief.

For example, nanosized beta carbon nitride crystals and nanorods of this material were prepared by means of an approach involving mechanochemical processing.

For instance, PS presence on the extracellular membrane face of erythrocytes is a marker of cell apoptosis, whereas PS in growth plate vesicles is necessary for the nucleation of hydroxyapatite crystals and subsequent bone mineralization.

For example, ash collected from Hawaiian lava fountains consists of sideromelane ( light brown basaltic glass ) pyroclasts which contain rare microlites ( small quench crystals ) and phenocrysts.

For seasoning and decoration various glazes, salt crystals, sugar and various seeds or nuts can be used.