Note that unlike Hypatia he did not study ' mathematics, philosophy and astronomy ', thus he and his followers came into conflict with the ancient University of Alexandria which pursued all forms of knowledge including science and human anatomy, politics and history according to the model inaugurated by Alexander the Great, the founder of Alexandria.

These polar unit vectors can be expressed in terms of Cartesian unit vectors in the x and y directions, denoted i and j respectively :< ref > Note: unlike the Cartesian unit vectors i and j, which are constant, in polar coordinates the direction of the unit vectors u < sub > r </ sub > and u < sub > θ </ sub > depend on θ, and so in general have non-zero time derivatives .</ ref >

Note however that working with the current two form itself and the exterior derivative is usually easier than working with the vector field and divergence, because unlike the divergence, the exterior derivative commutes with a change of ( curvilinear ) coordinate system.

Note, however, that unlike the general Hamiltonian path problem, the knight's tour problem can be solved in linear time.

Note that with this definition, unlike SNR, a SINAD reading can never be less than 1 ( i. e. it is always positive when quoted in dB ).

Note that unlike in the picture, the triangular setup in the cue game of eight-ball corresponds to an arithmetic progression 1 + 2 + 3 + 4 + 5 = 15.

Note that unlike the other two formulae ( the Euler product and the divisor sum ) this one does not require knowing the factors of n.

( Note: " plebeian secession " was a tactic used by the Roman plebs of vacating a city entirely and leaving its ruling elite to fend for itself, thus an even more radical action than a " general strike ", yet unlike the latter term, it does not pertain to withholding labor within a wage-system.

Note that unlike Cat 4 and Cat 5 cables, Cat 3 is still recognized by TIA / EIA-568-B, its defining standard.

Note that unlike the liar paradox or Russell's paradox, this paradox does not depend on what model of negation is used, as it is completely negation-free.

Note that unlike Judeo-Christian religions Shinto due to its nature does not require the same admission of faith, instead merely participating in certain aspects of Shinto is generally considered enough for association.

Note, however, unlike the other systems the force unit is not equal to the mass unit multiplied by the acceleration unit — the use of Newton's Second Law, F

Note that unlike the word émigré, Emigre is officially spelled without accents.

Note that unlike Greece and Turkey, there are suites of four karsilama dances, different for men and women, some of them other than the standard 9 / 8 tempo.

) Note also that unlike the Say's law story above, there are interactions between different markets ( and their gluts and shortages ) that go beyond the simple price mechanism, to limit the quantity of jobs supplied and the quantity of products demanded.

Note that unlike the general linear group, which is generally defined axiomatically as " invertible functions preserving the linear ( vector space ) structure ", the projective linear group is defined constructively, as a quotient of the general linear group of the associated vector space, rather than axiomatically as " invertible functions preserving the projective linear structure ".

Note that, unlike fresh water, seawater does not have a density maximum at 4 ° C but gets denser as it cools all the way to its freezing point of approximately − 1. 8 ° C.

Note that the British 405-line system A, unlike all the other systems, suppressed the upper sideband rather than the lower — befitting its status as the oldest operating television system to survive into the color era ( although was never officially broadcast with color encoding ).

In March 1862, the first $ 2 bill was issued as a Legal Tender Note ( United States Note ) with a portrait of Alexander Hamilton ; the portrait of Hamilton used was a profile view and is unlike the portrait used currently for the $ 10 bill.

Note the projecting keyboard, unlike the inset Flemish examples.

Note that in First-Person Shooters, unlike the children's game, players can be harmed irrespective of whether they are in their own base.

Note that it is only " possible " that high order polynomials will be lumpy ; they could also be smooth, but there is no guarantee of this, unlike with low order polynomial curves.

Note that unlike Platonic solids and Archimedean solids, the faces of Catalan solids are not regular polygons.

Note that this premise uses the phrase " is not ", a form of " to be "; this and many other examples show that he did not intend to abandon " to be " as such.

* In the Star Wars prequels, the galactic capital planet Coruscant has buildings many miles tall, and approaches the completely built-over condition of Trantor in Isaac Asimov's classic Foundation trilogy ( Note: due to this, Coruscant was originally to be named Jhantor but was eventually renamed Coruscant ).

Note, however, that many municipal bonds are callable, and that this imposes substantial additional risks to the strategy.

The Hollys frequented many of New York's music venues, including The Village Gate, Blue Note, Village Vanguard, and Johnny Johnson's.

Note that in many cases, digital cable telephone service is separate from cable modem service being offered by many cable companies and does not rely on Internet Protocol ( IP ) traffic or the Internet.

( Note that anti-trust regulation does take into account cases when only large companies are viable because of the nature of an industry, but favors many participants over few, whenever possible.

Notable jazz bassists from the 1940s to the 1950s included bassist Jimmy Blanton ( 1918 – 1942 ) whose short tenure in the Duke Ellington Swing band ( cut short by his death from tuberculosis ) introduced new melodic and harmonic solo ideas for the instrument ; bassist Ray Brown ( 1926 – 2002 ), known for backing Beboppers Dizzy Gillespie, Oscar Peterson, Art Tatum and Charlie Parker, and forming the Modern Jazz Quartet ; hard bop bassist Ron Carter ( born 1937 ), who has appeared on 3, 500 albums make him one of the most-recorded bassists in jazz history, including LPs by Thelonious Monk and Wes Montgomery and many Blue Note Records artists ; and Paul Chambers ( 1935 – 1969 ), a member of the Miles Davis Quintet ( including the landmark modal jazz recording Kind of Blue ) and many other 1950s and 1960s rhythm sections, was known for his virtuosic improvisations.

Note that materialism does not necessarily imply egoism, as indicated by Karl Marx, and the many other materialists who espoused forms of collectivism.

* Texts on Ancient Mathematics and Mathematical Astronomy PDF scans ( Note: many are very large files ).

Note: On many printed calendars of Year II ( 1793 – 94 ), the month of Thermidor was named Fervidor.

Note that this property is itself positive, since it is the conjunction of the ( infinitely many ) positive properties.

Note that many of the basic chemical compounds used as detergents ( example: calcium sulfonate ) serve the purpose of the first seven items in the list as well.

#* Note: This fact provides a proof of the infinitude of primes distinct from Euclid's Theorem: if there were finitely many primes, with p being the largest, we reach an immediate contradiction since all primes dividing 2 < sup > p </ sup > − 1 must be larger than p .</ li >

Note that this also differs subtly from the molecular mass in that the choice of isotopes is defined and thus is a single specific molecular mass of the many possible.

Note that many of the assumptions made by management have come under attack from business ethics viewpoints, critical management studies, and anti-corporate activism.

: Note this model assumes the particle is a point mass, which is certainly known to be false in many cases in which we use this model ; for example, as a model of planetary motion.

Note that, botanically, what appears to be a single globular flower is actually a cluster of many individual ones.

( Note that many giant-sized characters have a limited ability to manipulate gravity to handle their increased weight.

Note that many vendors sell or have sold multiple architectures.

Note this does not restrict dormant forms of life to these environments, so this argument only contradicts the widest interpretation of panspermia — that life is ongoing and is spread across many different environments throughout the Universe — and presupposes that any life needs those elements, which the proponents of alternative biochemistries do not consider certain.

Note that many of the common polyatomic anions are conjugate bases of acids derived from the oxides of non-metallic elements.

Note that an eight-dimensional vector can be specified in many different ways depending on what basis is chosen for the space.

Note that the " regular expression " features provided with many programming languages are augmented with features that make them capable of recognizing languages that