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

Note that the bilinearity and alternating properties imply anticommutativity, i. e., for all elements x, y in, while anticommutativity only implies the alternating property if the field's characteristic is not 2.

Note: A number of other plants have been suggested by biblical scholars, e. g., Most notably Ginseng which looks similar to the mandrake root and has fertility enhancing properties, for which it was picked by Reuben in the Bible.

Note that we require the domains of G < sub > 2 </ sub >, G < sub > 3 </ sub > to be broad enough to make the above properties meaningful.

Note that a compressed gas also exhibits " elastic " properties, for instance inside an inflated car tire.

Note that congruences alter some properties, such as location and orientation, but leave others unchanged, like distance and angle s. The unchanged properties are called invariant ( mathematics ) | invariant s.

Note that these properties are also satisfied if " interior ", " subset ", " union ", " contained in ", " largest " and " open " are replaced by " closure ", " superset ", " intersection ", " which contains ", " smallest ", and " closed ", respectively.

Note that two natural products were already known with this imidazole riboside structure: substitution at the 5 ' carbon with OH results in pyrazomycin / pyrazofurin, an antibiotic with antiviral properties but unacceptable toxicity, and replacement with an amino group results in the natural purine synthetic precursor 5-aminoimidazole-4-carboxamide-1-β-D-ribofuranoside ( AICAR ), which has only modest antiviral properties.

Note that the matrix defined as above has the following properties:

Note that the above construction of the Galois group for a fifth degree polynomial only applies to the general polynomial, specific polynomials of the fifth degree may have different Galois groups with quite different properties, e. g. has a splitting field generated by a primitive 5th root of unity, and hence its Galois group is abelian and the equation itself solvable by radicals.

Note, any type of board ( such as shortboard or mini-longboard ) can have a fish tail, and these are commonly referred to as a " fish ", but they lack the other properties of a traditional, or " retro ", fish as listed here.

Note that the main symbols of these extensive thermodynamic properties shown here are capital letters.

Note that enhanced antibacterial properties of nanoparticles compared to bulk material is not limited to silver, but has also been demonstrated on other materials such as ZnO

Note that some languages have what are described as " relative pronouns " ( in that they agree with some properties of the head noun, such as number and gender ) but which don't actually indicate the case role of the shared noun in the embedded clause.

Note that there are important physiological differences between nodal cells and ventricular cells ; the specific differences in ion channels and mechanisms of polarization give rise to unique properties of SA node cells, most importantly the spontaneous depolarizations necessary for the SA node pacemaker activity.

( Note that some of the properties of the Lebesgue integral fail here, since our measure is only finitely additive.

Note that this category is for geometrical entities or properties.

Note: All properties refer to the nephroid as parameterized by the first pair of equations above.

Note that the matrix defined as above has the following properties:

Note that the inequality is not really applicable either to electrons or photons, since it builds in no probabilistic properties in the measurement process.

Note that a substance's GWP depends on the timespan over which the potential is calculated.

Note that for the match distance symbols 2 – 29, the number of extra bits can be calculated as.

( Note that this is precisely the error we calculated for the example.

Note that such a perpetual calendar fails to indicate the dates of moveable feasts such as Easter, which are calculated based on a combination of events in the Tropical year and lunar cycles.

( Note that odds can be calculated from, and then converted to, probability.

( Note that 2008 impact factors are actually published in 2009 ; they cannot be calculated until all of the 2008 publications have been processed by the indexing agency.

Note: Higher heating value ( HHV ) is calculated with the product of water being in liquid form while lower heating value ( LHV ) is calculated with the product of water being in vapor form.

Typing a word, assuming a subject ’ s hands are already on the keyboard, would therefore be calculated by multiplying the number of letters in the word by the value given above to “ press a key or button .” Note that categorizing the subject into an accurate typing skill level impacts the estimated measurement greatly.

( Note: cost of goods sold is calculated differently for a merchandising business than for a manufacturer.

As for the territory of present-day Novi Kneževac municipality, 1910 census recorded 18, 513 inhabitants in the area, of which 9, 295 ( 50. 21 %) spoke Serbian and 8, 823 ( 47. 66 %) Hungarian ( Note that this data is calculated on the present-day territory of Novi Kneževac municipality, not on the territory of historical municipality, which included a much larger territory than the modern one in 1910 and in which the Hungarian speakers were more numerous than the Serbian ones ).

Note: following: Image: Satellite Temperatures. png the trends have been calculated from 1983 onwards, although this is somewhat non-standard.

( Note: Because of light leakage from one ultraviolet source to another, the lights are switched by a commutator-like assembly rotated by a synchronous motor.

Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.

Note that flexural strength is not always improved by simply increasing the density, nor is the change always proportional from one formulation to another.

Quite other feelings are evidenced by this style: Af Note the drop to pitch 1 ( the lowest ) on mother with no rise at the end of the sentence ; ;

Note that by Western standards this plan was `` upside down '', as it put North at the bottom and South at the top, with the other directions correspondingly altered ; ;

Most European domestic power supplies run at 230 V, so the current drawn by a particular European appliance ( in Europe ) will be less than for an equivalent American one ( in the United States ).< ref group =" Note "> The formula for power is given by

( Note that by designating cardinal directions for 1 ,-1,, and, complex numbers such as are considered constructible.

Note that, because a name translated to an address, which included a socket number as well as a node number, a name in AppleTalk mapped directly to a service being provided by a machine, which was entirely separate from the name of the machine itself.

Note: in a galvanic cell, contrary to what occurs in an electrolytic cell, no anions flow to the anode, the internal current being entirely accounted for by the cations flowing away from it ( cf drawing ).

In 2007, the Times printed another Editor ’ s Note after Hesser published a review of Vegetable Garden by Patricia Wells without disclosing that in 1999, Wells had contributed a jacket blurb for Hesser ’ s book The Cook and the Garden.

* Note: Botswana does not have a westernmost point as the western section is formed by the 22nd meridian of longitude east of Greenwich.

* Note: technically Chad does not have an easternmost point, the northern section of the border being formed by the 24 ° of latitude

Note: Concentrations of Cr ( VI ) in US municipal drinking water supplies reported by EWG are within likely, natural background levels for the areas tested and not necessarily indicative of industrial pollution ( CalEPA Fact Sheet ), as asserted by EWG.

Note, however, that the Secretary has a reporting line to the Board of Directors, regardless of any other reporting lines conferred by concurrent titles.

Note, however, that the Treasurer has a reporting line to the Board of Directors, regardless of any other reporting lines conferred by concurrent titles.

Note that this is different from the recursive languages which can be decided by an always-halting Turing machine.

( Note: ∇< sup > 2 </ sup > F represents, in this case, the vector formed by the individual Laplacian of each component of the vector in question )

** Note: This was edited by Marker essentially, this film is a 27-minute postscript to Le Joli Mai assembled from leftover footage and organized around a new commentary ( Film Comment ).

** Note: This gem was written by Marker.

** Note: Edited by Marker.

Note that orthography is not a good guide for identifying clitics: clitics may be written as independent words, bound affixes, or separated by special characters ( e. g., apostrophe ).

Note that incomplete forward passes ( those which go out of bounds, or which touch the ground without being first cleanly caught by a player ) result in the end of the play, and are not returnable by either team.