Note that symplectic maps are volume-preserving, orientation-preserving, and are vector space isomorphisms.

Note however that knowledge of F is usually not enough to reconstruct G and the natural isomorphisms: there may be many choices ( see example below ).

Note: The second and third of these isomorphisms intertwine to give the 8-fold periodicity results:

Note another piece of wood six inches wide is fastened to the transom between these pieces.

Note also that antibodies tend to discriminate between the specific molecular structures presented on the surface of the antigen ( as illustrated in the Figure ).

Note that the continuous crossover between the dilute and dense regimes of attracting pairs of fermions is still an open problem, which now attracts a lot of attention within the field of ultracold gases.

Note that arrows between categories are called functors, subject to specific defining commutativity conditions ; moreover, categorical diagrams and sequences can be defined as functors ( viz.

Note that overuse is a relative term, and capacity varies greatly between individuals.

Note that in other fields, a lower division between high and ultra-high vacuum is common, often 10 < sup >− 7 </ sup > Pa.

Note that the number of points used in braille computing is not 6, but 8, as this allows the user, among other things, to distinguish between small and capital letters, as well as identify the position of the cursor.

** Note: In a 1995 interview Resnais states that the final version of the commentary was a collaboration between Marker and Jean Cayrol ( source: Film Comment ).

Note that the border between Eritrea and Ethiopia is disputed.

Note the difference between MSE and variance.

Note that because of historical accident, students encounter a source of possible confusion between the terminology of physics and biology.

Note that the previous expression holds true only if the kinetic energy flow rate is conserved between system inlet and outlet.

Note that because of historical accident, students encounter a possible source of confusion between the terminology of physics and biology.

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 chair does not change form between " the chair is here " ( subject ) and " I saw the chair " ( direct object ), a distinction made by word order and context.

Note: Hungary and Austria jointly manage the cross-border standard-gauge railway between Győr – Sopron – Ebenfurt ( GySEV / ROeEE ), a distance of about 101 km in Hungary and 65 km in Austria.

Note that, as shown in the graphic, there is no implied ordering between siblings or cousins and no implied sequence for an in-order traversal ( as there would be in, e. g., a binary search tree ).

Note that misidentifying the boundaries between the exons and intron by even a single letter will result in a nonsensical message.

Note that this " high temperature " approximation does not distinguish between fermions and bosons.

Note that the dipole – dipole interaction between two atoms is usually zero, because atoms rarely carry a permanent dipole.

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 that the Kuchurhan crossing as well as the Tighina – Tiraspol – Kuchurhan segment are under the control of the Transnistrian separatist authorities, the circulation of trains on the route depending on the level of political tensions between the separatists and the Government of Moldova.

( Note that these relations are true for theoretical and experimental values, but not between experimental and theoretical values.

Note that while the associations indicated between the concepts in each item in that list is very strong, it is not absolute.

Note that the electric and magnetic fields in such a wave are in-phase with each other, reaching minima and maxima together

Note that there is also the " theory of fields " which constitutes a separate discipline in physics, formally treated as distinct from mechanics, whether classical fields or quantum fields.

( Note: Astronomy should not be confused with astrology, which assumes that people's destiny and human affairs in general are correlated to the apparent positions of astronomical objects in the sky -- although the two fields share a common origin, they are quite different ; astronomers embrace the scientific method, while astrologers do not.

Note that the Apple ISO 9660 Extensions do not technically follow the SUSP standard ; however the basic structure of the AA and AB fields defined by Apple are forward compatible with SUSP ; so that, with care, a volume can use both Apple extensions as well as RRIP extensions.

Note that there is no distinction in Self between fields and methods: everything is a slot.

Note also that in some fields, the terminology is different: For example, in community ecology, the term " classification " is used to refer to what is commonly known as " clustering ".

( Note that the leading zeros of the linear address, segmented addresses, and the segment and offset fields, which are usually neglected, were shown here for clarity.

Note that this format differs from the UUID standard only in the byte order of the first 3 fields.

Note that many fields of inquiry do not have specific named theories, e. g. genetics and developmental biology.

Note the two primary debris fields, the ring of objects in GEO, and the cloud of objects in low earth orbit ( LEO ).

Note: The highland maids would like to make up their hair with castor and camelia oils and go love-making instead of going to work in the soya-bean fields.

Note that if there are no currents or time-varying electrical fields and the two expressions agree.

Note that in abelian gauge theories ( such as quantum electrodynamics ) the ghosts do not have any effect since and, consequently, the ghost particles do not interact with the gauge fields.

Note that when wrapped in 6to4 with the subnet and hosts fields set to zero this IPv4 address (< tt > 192. 88. 99. 1 </ tt >) becomes the IPv6 address < tt > 2002: c058: 6301 ::</ tt >.

Note: “ Three-octet values occupying the same fields as OUIs can occupy, but with the next-to-LSB of the first octet set to 1, are locally assigned and have no relationship to the IEEE-assigned values ...”.

Note that although solar heating is responsible for the largest-amplitude atmospheric tides, the gravitational fields of the Sun and Moon also raise tides in the atmosphere, with the lunar gravitational atmospheric tidal effect being significantly greater than its solar counterpart.

Note that in the presence of spinor fields, the Palatini action implies that d < sub > A </ sub > e is nonzero, that is, have torsion.

Note: this category is for types of occupations within or relating to the sciences ; it is not meant for the various fields and sub-fields of science, which are grouped under: Category: Scientists.

Note that, in some fields, such as natural language processing, the categorical and multinomial distributions are conflated, and it is common to speak of a " multinomial distribution " when a categorical distribution is actually meant.

( Note that in many fields, such as in natural language processing, categorical variables are often imprecisely called " multinomial variables ".

Note: Clinical testing of visual fields ( by confrontation ) can produce false positive result ( particularly in inferior nasal quadrants ).