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 many other computer-related units, 1 kbit / s is traditionally defined as 1, 000-bit / s, not 1, 024-bit / s, etc., also before 1999 when SI prefixes were introduced for units of information in the standard IEC 60027-2.

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 the mass scale is one to two orders of magnitude greater than some previously used ; ;

Note that it is often rational to improve a system in an order that is " non-optimal " in this sense, given that some improvements are more difficult or consuming of development time than others.

( Note that prior to the 1995 renovations, some of these houses, particularly North and Caven, ' traditionally ' sat elsewhere )

: Note: Individual casinos may pay some of these bets at different payout ratios than those listed below.

Note: it is reported in the scientific literature that some " shock " features, such as small shatter cones, which are often reported as being associated only with impact events, have been found in terrestrial volcanic ejecta.

Note that outside of the US military and some US government agencies, including the Internal Revenue Service, this format is usually referred to as " ordinal date ", rather than " Julian date "

Note: There is some confusion about the term ' compression ratio ', particularly outside academia and commerce.

Note that congruences alter some properties, such as location and orientation, but leave others unchanged, like distance and angle s. The latter sort of properties are called invariant ( mathematics ) | invariant s and studying them is the essence of geometry.

Note: The all or none principle is met when all patients died before the Rx became available, but some now survive on it ; or when some patients died before the Rx became available, but none now die on it.

Note that reflection by a window is from the front side as well as the back side, and that some of the light bounces back and forth a number of times between the two sides.

Note that not all worlds have the same objects: some objects exist in some worlds and not in others.

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 ).

The Village Gate, the Village Vanguard and The Blue Note ( since 1981 ), hosted some of the biggest names in jazz on a regular basis.

( Note: Revenue collected from Karachi includes revenue from some other areas since the Large Tax Unit ( LTU ) Karachi and Regional Tax Offices ( RTOs ) Karachi, Hyderabad, Sukkur & Quetta cover the entire province of Sindh and Balochistan ).

Note that these arguments may indeed have validity, but they require some independent justification of the connection between their terms: otherwise the argument ( as a logical tool ) remains fallacious.

Note: These totals include some foreign-owned ships registered here as a flag of convenience: Denmark 13 ( 2002 est.

Note: The name of the book appears next to some author references.

Note that some metres have an overall rhythmic pattern to the line that cannot easily be described using feet.

Note that some of these tasks have direct real-world applications, while others more commonly serve as subtasks that are used to aid in solving larger tasks.

Note that some languages have more such ambiguity than others.

Note that most of these verses do not distinguish between the conditional election ( Arminian ) and unconditional election ( Calvinist ), but are simply evidence of some type of election.

After some time spent inactive, he was asked to play the famous Half Note in New York City in 1971 by guitarist Jim Hall.

Note that the set-theoretic union, in some contexts closely related to logical disjunction ( or ), is used here for sets of statements in such a way that it is more related to logical conjunction ( and ).