( Note that the sets are open in the subspace topology even though they are not open as subsets of R .)

Note though that the value is infinite, for any.

( Note, however, that the term " powder magazine ", a store for gunpowder, as e. g. in the town of Williamsburg, Virginia, restored to its colonial form, would be well understood by current English speakers, though recognized as an archaicism.

Note that a grid network is not the same as a grid computer ( or computational grid ) ( even though the nodes in a grid network are usually computers, and grid computing obviously requires some kind of computer network to interconnect the computers ).

Note that the orange circles appear of different sizes, even though equal.

Note that the shuffling machines have to be carefully designed, as they can generate biased shuffles otherwise: the most recent shuffling machines are computer-controlled, though they have not yet fully been integrated into gaming.

( Note that the earliest episodes took place in 2099, though most following stories have taken place in the 22nd century, usually 122 years after real-world publication ( so a story published in the comic in 2008 would take place in 2130 ).

( Note, however, that Norwegian både, for example, though cognate with English both, can be used with more than two things, as in X sparer både tid, penger, og arbeid, literally " X saves both time, money, and labour ".

Note that X. 25 provides for virtual calls, so appears to be a circuit switched network, even though in fact the data itself is packet switched internally, similar to the way TCP provides connections even though the underlying data is packet switched.

Note, dai ( and ), though both spelled ได ้, convey two separate meanings.

Note that knowing that alters the variance, though the new variance does not depend on the specific value of a ; perhaps more surprisingly, the mean is shifted by ; compare this with the situation of not knowing the value of a, in which case x < sub > 1 </ sub > would have distribution

Note that the tautology problem for positive Boolean formulae remains co-NP complete, even though the satisfiability problem is trivial, as every positive Boolean formula is satisfiable.

Note, for example, that the time zone GMT + 14 will be at the same time of day as GMT − 10, though the former is one day ahead of the latter.

Note that both still have exactly the same slots even though one of them has a different value.

Note that this equation only holds when the density operator is taken to be in the Schrödinger picture, even though this equation seems at first look to emulate the Heisenberg equation of motion in the Heisenberg picture, with a crucial sign difference:

Note: many American texts have B. pendula and B. pubescens confused, though they are distinct species with different chromosome numbers.

Note, however, that the young gentlemen might also be rated as seamen rather than midshipmen on the ship's books ; though they were still considered the social superiors of the seamen, petty officers ( excluding other young gentlemen ) and most warrant officers and could be given authority over them.

( Note that the term " equinox " here refers to a point on the celestial sphere so defined, rather than the moment in time when the Sun is overhead at the Equator, though the two meanings are related.

Note that it is possible — though unlikely — to have this hand and still lose money.

Note that the ( trivial ) copy function ' c ' is necessary because though the universal constructor ' u '

The Blue Note sessions have also been remastered and reissued as individual CDs and are arguably better ( though the Roost material is not included ).

( Note: each of the scientists shown was working on something which still has not been solved to date, even though each one expected solid results in only a few years.

( Note, for example, that we write " ads " where the morphology is transparent, and " adze " where it is not, even though the pronunciation is the same.

Note that the above formula is only applicable to classical ideal gases and not Bose – Einstein or Fermi gases.

Note however that this is only correct for ideal solutions.

Note the similarity of the above formula to the ideal gas law and also that osmotic pressure is not dependent on particle charge.

Note that this is only the case if the source is close to an ideal point source.

Note that it is possible to convert heat completely into work, such as the isothermal expansion of ideal gas.

A principal fractional ideal is one of the form for some nonzero x in K. Note that each principal fractional ideal is invertible, the inverse of being simply.

Note that there are effectively two different types of deviation from this phonemic ideal.

Note: For a calorically ideal gas is a constant and for a thermally ideal gas is a function of temperature.

Note that the term " Demon " ( akuma ) in the Megaten games is a catch-all term, similar to daemon ; in contrast to the more conventional, malevolent demons, anything from a folktale creature ( such as a Pixie ) to an ideal Judeo-Christian Angel ( such as Michael ) is referred to as a demon.

Note that minimizing the difference ( usually the squared difference ) between euclidean and ideal distances between nodes is then equivalent to a metric multidimensional scaling problem.

Note that this free energy of mixing is always negative ( since each is positive and each must be negative ) i. e. ideal solutions are always completely miscible.

Note that this does not mean that m ( t ) must be continuous ; in fact, most ideal digital data waveforms contain discontinuities.

Van Gelder's engineering was an ideal complement to the " hard bop ," or " soul jazz " and East Coast " funk " associated with the storied Blue Note label.

Note also that for manufacturing reasons, a perfect lens has a spherical ( or toroidal ) surface shape though, theoretically, the ideal surface would be aspheric.

Note that if all codewords are equally likely to be sent then this scheme is equivalent to ideal observer decoding.

Note: The population figures below are for Doxiadis ' ideal future ekistic units for the year 2100 at which time he estimated ( in 1968 ) that Earth would achieve zero population growth at a population of 50, 000, 000, 000 with human civilization being powered by fusion energy.

Note that this pressure increase is more than a simple 10: 1 compression ratio would indicate ; this is because the gas is not only compressed, but the work done to compress the gas has also heated the gas and the hotter gas will have a greater pressure even if the volume had not changed.

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 that a compressed gas also exhibits " elastic " properties, for instance inside an inflated car tire.

In 1815, he published Mémoire sur les masses relatives des molécules des corps simples, ou densités présumées de leur gaz, et sur la constitution de quelques-uns de leur composés, pour servir de suite à l ' Essai sur le même sujet, publié dans le Journal de Physique, juillet 1811 (" Note on the Relative Masses of Elementary Molecules, or Suggested Densities of Their Gases, and on the Constituents of Some of Their Compounds, As a Follow-up to the Essay on the Same Subject, Published in the Journal of Physics, July 1811 ") (), about gas densities.

Note that in turbulent motion, where is the velocity of turbulent cells relative to the mean gas motion, and is the size of the largest turbulent cells, which is estimated as and, where is the Keplerian orbital angular velocity, is the radial distance from the central object of mass.

Note that Mach 1 can be a very high speed for a hot gas, since the speed of sound varies as the square root of absolute temperature.

( Note that the energy is already being generated elsewhere to provide the high initial gas pressure-this method simply distributes the energy via a different route.

Note that the Mach 1 can be a very high speed for a hot gas ; since the speed of sound varies as the square root of absolute temperature.

Note that all metallic systems in a building are to be bonded to the building grounding system, such as water, natural gas, HVAC piping, and others.

Note that where the pressure-volume product is part of a safety standard, any incompressible liquid in the vessel can be excluded as it does not contribute to the potential energy stored in the vessel, so only the volume of the compressible part such as gas is used.

Note that the cephalopod does not pump up the shell ; the gas moving into the chamber is a passive process, instead the energy is used in absorbing the water from the chamber. An image showing the siphuncle, the tube which connects the current living shell to the previous ones.

Note that even a perfect heat exchanger will not affect the entrance temperature T < sub > i </ sub > of the gas.

Note that coal, oil and natural gas are primary energy sources which are extracted from the earth ( fossil fuels ).

Note: Mar-Vell collapsed from the gas and was comatose until he was given an antidote to the gas.