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, 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 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: Apparently this only goes for religions that are widely practiced today, since gods and goddesses of ancient religions are obviously acceptable to the IAU.

Note: To forestall disputes among editors, religions and religious figures are excluded from inclusion in this category, although this may be disputed by some editors.

* 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 that such engines may not produce their full rated power using 87 octane gasoline under all circumstances due to the delayed ignition timing.

Note that due to the reduced number of colors in the image, there are obvious display issues. GIF is palette-based: the colors used in an image ( a frame ) in the file have their RGB values defined in a palette table that can hold up to 256 entries, and the data for the image refer to the colors by their indexes ( 0 – 255 ) in the palette table.

Like all subatomic particles, hadrons are assigned quantum numbers corresponding to the representations of the Poincaré group: J < sup > PC </ sup >( m ), where J is the spin quantum number, P the intrinsic parity ( or P-parity ), and C, the charge conjugation ( or C-parity ), and the particle's mass, m. Note that the mass of a hadron has very little to do with the mass of its valence quarks ; rather, due to mass – energy equivalence, most of the mass comes from the large amount of energy associated with the strong interaction.

Note that this is not the ionic polarization effect which refers to displacement of ions in the lattice due to the application of an electric field.

Note that the " Zero Frame " dot is placed above the first character due to the smaller size of 16mm.

( Note: if 19a or 19b is answered " NO " that ends the due process analysis-the totality of circumstances test is not reached )

Note that the presence of the solute decreases the potential due to being smaller than 1.

Note that the fronted variant caused by umlaut was originally allophonic ( i. e. a variant sound automatically predictable due to the context ), but later became phonemic ( a separate sound in its own right ) when the context was lost but the variant sound remained.

Throughout the Marvel Universe there have been a few incidents that resulted due to the presence of vibranium including: ( Note: Wakandan variety vibranium is referred to as vibranium and Antarctic variety vibranium is referred to as Anti-Metal )

Note that due to the fact that one can always transform non-normalized weights to normalized weights all formula in this section can be adapted to non-normalized weights by replacing all by.

Note that this definition is tied to the critical density of the present cosmological era: the critical density changes with cosmological time, but the energy density due to the cosmological constant remains unchanged throughout the history of the universe.

Note that the phase of the sine wave is different for the lowpass and the highpass cases, due to the phase distortion of the filters.

Note how the satellites are pinpoint, while stars have created small trails due to the Earth's rotation.

Note that the arguments of the binomial coefficient are decremented due to order: the last " failure " must occur last, and so the other events have one fewer positions available when counting possible orderings.

Note that women usually get higher benefits due to their greater longevity.

Note that phases overlap due to variability between cases.

Note that due to the long period of language evolution, such component " hints " within characters as provided by the radical-phonetic compounds are sometimes useless and may be misleading in modern usage.

Note: Population has less than 100 permanent residents, but grows to 900 every summer months, due to seasonal migrant labor stays there ( Hispanics are the main contributor ) and forms the hub of the Mexican community of the Sevier Desert.

Note that due to the length of the bit-lines there is a fairly long propagation delay for the charge to be transferred back to the cell's capacitor.

Note: due to the large number of historic regimes that could arguably be classed as military dictatorships, this list is limited to those administrations in power from the 19th century onwards.

Note this has been cancelled due to government cutbacks.

Plug's " Drum and Bass for Papa " included an extra disc of tracks from earlier EPs, and The Bowling Green's " One Pound Note " omitted one track from the UK release due to problems with sample clearance.

* Note the non-linear shell ordering, which comes about due to the different energies of smaller and larger shells.

Note that a soft ductile material may sometimes exhibit brittle failure during shock due to time-temperature superposition.