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< ol >< li value =" 4 "> Pasch's Axiom: Let A, B, C be three points not lying in the same straight line and let a be a straight line lying in the plane ABC and not passing through any of the points A, B, C. Then, if the straight line a passes through a point of the segment AB, it will also pass through either a point of the segment BC or a point of the segment AC .</ li ></ ol >
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< ol type =" a ">< li > Living in celibacy at a time when a person ought to be married to provide the state with citizens.
< ol type =" a ">< li > If a magistrate acted in a manner not befitting his dignity as an officer, if he was accessible to bribes, or forged auspices.
< li > The keeping of the equus publicus ( a horse kept by patrician equestrian militia at public expense ) in bad condition .</ ol >
< ol style =" list-style-type: upper-alpha ;"> < li > Sawdust ( or any other type of absorbent material ) soaked in nitroglycerin .</ li > < li > Protective coating surrounding the explosive material .</ li > < li > Blasting cap .</ li > < li > Electrical cable ( or Fuse ( explosives ) | fuse ) connected to the blasting cap .</ li > </ ol >
Some knots < ol > < li > Yarn knot The Ashley Book of Knots | ABoK # 2688 </ li > < li > Manrope knot </ li > < li > Granny knot </ li > < li > Rosebud stopper knot (?
)</ li > < li > Matthew Walker's knot </ li > < li > Shroud knot </ li > < li > Turks head knot </ li > < li > Overhand knot, Figure-eight knot ( ropes ) | Figure-of-eight knot </ li > < li > Reef knot, Square knot </ li > < li > Two half hitches </ li > </ ol >
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# H < sub > 3 </ sub > O < sup >+</ sup >( aq ) + Cl < sup >−</ sup >( aq ) + NH < sub > 3 </ sub > → Cl < sup >−</ sup >( aq ) + NH < sub > 4 </ sub >< sup >+</ sup >( aq )
< center > Articles of Confederation 200th Anniversary commemorative stamp </ center >< center > First issued in York, Penn., 1977 </ center >
A line running from Cape Aspro ( 28 ° 16 ' E ) in Asia Minor, to Cum Burnù ( Capo della Sabbia ) the Northeast extreme of the Island of Rhodes, through the island to Cape Prasonisi, the Southwest point thereof, on to Vrontos Point ( 35 ° 33 ' N ) in Skarpanto < nowiki >< nowiki ></ nowiki >, through this island to Castello Point, the South extreme thereof, across to Cape Plaka ( East extremity of Crete ), through Crete to Agria Grabusa, the Northwest extreme thereof, thence to Cape Apolitares in Antikithera Island, through the island to Psira Rock ( off the Northwest point ) and across to Cape Trakhili in Kithera Island, through Kithera to the Northwest point ( Cape Karavugia ) and thence to Cape Santa Maria () in the Morea.
Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.
Carboxylic acid groups (− CO < sub > 2 </ sub > H ) can be deprotonated to become negative carboxylates (− CO < sub > 2 </ sub >< sup >−</ sup > ), and α-amino groups ( NH < sub > 2 </ sub >−) can be protonated to become positive α-ammonium groups (< sup >+</ sup > NH < sub > 3 </ sub >−).
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< li > In November 2010, an Apple I with serial number 82 sold for £ 133, 250 ($ 210, 000 ) at Christie's auction house in London.
< li > On June 15, 2012, a working Apple I was sold at auction by Sotheby's for a record $ 374, 500, more than double the expected price .</ li >
< li > Improper conduct towards one's wife or children, as well as harshness or too great indulgence towards children, and disobedience of the latter towards their parents.
< li > Offences committed in public life, either in the capacity of a public officer or against magistrates,
< li > Improper conduct towards a magistrate, or the attempt to limit his power or to abrogate a law which the censors thought necessary.
< li > A variety of actions or pursuits which were thought to be injurious to public morality, might be forbidden by an edict, and those who acted contrary to such edicts were branded with the nota and degraded.
Various linguists have seen these North Eurasian languages as part of: < ul >< li > a Ural – Altaic language family ( popular until 1960s )</ li >< li > a Uralic and an Altaic family ( Anna V. Dybo | Dybo, Roy Andrew Miller | Miller, Nicholas Poppe | Poppe )</ li >< li > separate Uralic, Turkic languages | Turkic and Mongolian language | Mongolian families ( Gerard Clauson | Clauson, Gerhard Doerfer | Doerfer, Stefan Georg | Georg )</ li >< li > a Eurasiatic or Nostratic macrofamily ( Joseph Greenberg | Greenberg, Sergei Starostin | Starostin, Allan Bomhard | Bomhard )</ li ></ ul >
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* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.
The numerical value of K < sub > a </ sub > is equal to the concentration of the products divided by the concentration of the reactants, where the reactant is the acid ( HA ) and the products are the conjugate base and H < sup >+</ sup >.
As the speed of light in meters per second ( c < sub > 0 </ sub >) is fixed in the International System of Units, this measurement of the speed of light in AU / d ( c < sub > AU </ sub >) also determines the value of the astronomical unit in meters ( A ):
Neither G nor M < sub >☉</ sub > can be measured to high accuracy in SI units, but the value of their product is known very precisely from observing the relative positions of planets ( Kepler's Third Law expressed in terms of Newtonian gravitation ).
Since n grows faster than log < sub > 2 </ sub >( n ), there must exist a value n < sub > 0 </ sub > such that
The U. S. survey acre is about 4, 046. 872 609 874 252 square metres ; its exact value ( m < sup > 2 </ sup >) is based on an inch defined by 1 metre = 39. 37 inches exactly, as established by the Mendenhall Order.
) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is
Because of this keyword stropping, it was possible for AA to allow spaces in variable names, such as < code >< u > integer </ u > previous value </ code >.
Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.
Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.
Between 70 K and room temperature, berkelium behaves as a Curie – Weiss paramagnetic material with an effective magnetic moment of 9. 69 Bohr magnetons ( µ < sub > B </ sub >) and a Curie temperature of 101 K. This magnetic moment is almost equal to the theoretical value of 9. 72 µ < sub > B </ sub > calculated within the simple atomic L-S coupling model.
Small could mean less than 3 dB below ( i. e., power output < 1 / 2 or voltage output < 0. 707 of ) the maximum value, or more rarely 10 dB below, or it could mean below a certain absolute value.
Most commonly, bandwidth refers to the 3-dB bandwidth, that is, the frequency range within which the spectral density ( in W / Hz or V < sup > 2 </ sup >/ Hz ) is above half its maximum value ( or the spectral amplitude, in V or V / Hz, is more than 70. 7 % of its maximum ); that is, above − 3 dB relative to the peak.
* BCS theory predicts the dependence of the value of the energy gap E at temperature T on the critical temperature T < sub > c </ sub >.
0.239 seconds.