Search results

...he particles have no internal degrees of freedom and move independently of one another. Equipartition therefore predicts that the average total energy of ...fness of the spring and ''q'' is the deviation from equilibrium. If such a one dimensional system has mass ''m'', then its kinetic energy ''H''<sub>kin</s ...

...ll|year=1983|publisher=Cambridge University Press|isbn=0521287634}}</ref> One must also choose a unique azimuth for the pole, e.g. θ&nbsp;=&nbsp;0. ...[-π/2,+3π/2) = [−90°,+270°). To obtain θ in the interval [0, 2π) directly, one may use instead ...

...allows astronomers to determine the relative orbital velocity of at least one of the stars even though they are unable to resolve the individual componen ...the core a helium-burning shell formed in addition to the hydrogen-burning one and the star moved to what astronomers term the [[asymptotic giant branch]] ...

...t. From this he deduced that the number of stars steadily increased toward one side of the sky, in the direction of the [[Milky Way]] [[Galactic Center|co ...of a large star cluster containing hundreds of thousands of stars located one billion light years away<ref>{{cite news ...

...een so as not to harm his study of [[Latin]] and [[Greek language|Greek]]. One day, however, Étienne found Blaise (now twelve) writing an independent proo ...is neighbor Madame Sainctot, a great beauty with an infamous past who kept one of the most glittering and intellectual salons in all France. It was only w ...

...magnetic striping|alternating bands found on the ocean floors of Earth]]. One theory, published in 1999 and re-examined in October 2005 (with the help of ...billion years ago, the northern hemisphere of Mars was struck by an object one-tenth to two-thirds the size of [[the Moon]]. If validated, this would make ...

...each step, the smaller number is subtracted from the larger number, until one number is reduced to zero. The remaining number is the GCD.]] ...s reduced, repeating this process gives successively smaller numbers until one of them is zero. When that occurs, the GCD is the remaining nonzero number. ...

...Apollonius: for instance solution circles generically occur in pairs, with one solution enclosing the given circles that the other excludes (Figure 2). [[ ...blem iteratively in this case leads to the [[Apollonian gasket]], which is one of the earliest [[fractal]]s to be described in print, and is important in ...

...] typing at random would, as part of its output, [[almost surely]] produce one of Shakespeare's plays.]] ...ions of [[statistical mechanics]]. Various [[Christian apologists]] on the one hand, and [[Richard Dawkins]] on the other, have argued about the appropria ...

...a distance of 11.9 [[light-year]]s. This makes it [[List of nearest stars|one of the closest]] star systems to the Sun, and the next-closest [[Stellar cl | title=The One Hundred Nearest Star Systems ...

...= The action of a Caesar cipher is to replace each plaintext letter with one a fixed number of places down the alphabet. This example is with a shift of ...''', the '''shift cipher''', '''Caesar's code''' or '''Caesar shift''', is one of the simplest and most widely known [[encryption]] techniques. It is a ty ...

...rch of a new car, the player picks a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player pi ...goat behind it. If both remaining doors have goats behind them, he chooses one randomly. After Monty Hall opens a door with a goat, he will ask you to dec ...

! colspan=4 align="center"|One adult household ...[[President's Advisory Panel for Federal Tax Reform]] cited the rebate as one of their chief concerns when analyzing their national sales tax, stating th ...

...ar, its [[angular diameter]] can be measured directly, yielding a diameter one-seventh that of the Sun.<ref name="ESO2003"/> Proxima Centauri's mass is ab ...t that the chance of the observed alignment being a coincidence is roughly one in a million.<ref>{{cite journal ...

...ntent of this article is well-established. If you have an argument against one or more of the proofs listed here, please read the FAQ on [[Talk:0.999...]] ...otes a [[real number]] [[equality (mathematics)|equal]] to '''[[1 (number)|one]]'''. In other words, the notations ''0.999…'' and ''1'' represent the same ...

...ccount for the acceleration experienced by himself and objects around him. One example, the force pressing the driver of an accelerating car into his or h ...ects accelerate in the opposite direction, falling "downward". Assume that one of the observers is "higher up" than the other. When the lower observer se ...

...[light-years]] from [[Earth]], and, together with Arcturus and [[Sirius]], one of the most [[luminosity|luminous]] stars in the [[Sun]]'s neighborhood. ...ating the [[Photometry (astronomy)|photometric]] brightness scale, and was one of the stars used to define the mean values for the [[UBV photometric syste ...

..., and [[Europa (moon)|Europa]].<ref name=Galilei/> Callisto is named after one of [[Zeus]]'s many lovers in [[Greek mythology]]. [[Callisto (mythology)|Ca ...the orbital motion{{Ref_label|G|g|none}}&mdash;is darker than the trailing one. This is different from other [[Galilean satellites]], where the reverse is ...

...isks encounters some problems.<ref name=Wurchterl2004/> The most important one is how the material, which is accreted by the protostar, loses its [[angula ...small planetesimals&mdash;about 1&nbsp;km in diameter&mdash;have formed by one way or another, ''runaway accretion'' begins.<ref name=Kokubo2002/> It is c ...

...ulation|major cities]], where the vehicle may be weighed and measured. The one exception to the formula allows a standard five-axle semi-truck configurati ...f name=mpr/> National Pavement Cost Model (NAPCOM) estimates indicate that one {{convert|80000|lb|adj=on}} truck does as much damage to roads as 750 {{con ...