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Page "Lagrange's theorem (group theory)" ¶ 12
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Note and 3
Note that there are 3 trials of interest.
Note that chemists often write H < sup >+</ sup >( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >.
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.
Although siblinghood is symmetric ( if A is a sibling of B, then B is a sibling of A ) and transitive on any 3 distinct people ( if A is a sibling of B and C is a sibling of B, then A is a sibling of C, provided A is not C ( Note that " is a sibling of " is NOT a transitive relation, since A R B, and B R A implies A R A by transitivity )), it is not reflexive ( A cannot be a sibling of A ).
Note: John 3: 16.
Note, however, that II Peter 3: 1 and 3: 8 address the " beloved ," which are assumed to be the elect, or Christians.
Note that E < sub > 1 </ sub > < E < sub > 2 </ sub > < E < sub > 3 </ sub >; that is, the energy of level 2 lies between that of the ground state and level 3.
Note that the actual image ( be it 4: 3 or 16: 9 ) is always contained in the center 704 horizontal pixels of the digital frame, regardless of how many horizontal pixels ( 704 or 720 ) are used.
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 as well that points A and B on the rotor and e-shaft turn at different speed, point B moves 3 times faster than point A, so that one full orbit of the rotor equates to 3 turns of the e-shaft.
Note: 2. x / 3. x ( for Series 600 / 800 ) were developed in parallel with 5. x / 6. x ( for Series 200 / 300 / 400 ), so, for example, 3. x was really contemporary with 6. x.
## If not, send F + 1 backwards in time on channel c. Note that this results in a paradox, as the number received in step 3 above is not the same as that sent in this step.
Note that if N is itself prime, i. e., there is no such prime F ≠ N, then some event will prevent the execution of step 3 that receives the value F from the future.
Note 3: The acronym CCS ( Centum Call Seconds ) is often used to describe 100 call-seconds.
Note 3: The DTG may indicate either the date and time a message was dispatched by a transmitting station or the date and time it was handed into a transmission facility by a user or originator for dispatch.
Note 3: A duplexer must provide sufficient isolation to prevent receiver desensitization.
Note 2: " 3 kHz flat weighting " and " 15 kHz flat weighting " are based on amplitude-frequency characteristics that are flat between 30 Hz and the frequency indicated.
Note 3: The FTS2000 contractors will be required to provide service directly to an agency's terminal equipment interface.
Note 3: The interruption is always for an integral number of unit intervals.
Note: High frequency ( HF ) modems are limited to operation over a voice channel with a nominal 3 kHz bandwidth.

Note and is
( Note: So far as State Police cars are concerned, only their replacement is under this division ).
Note, however, that it is six inches shorter at the forward end.
Note another piece of wood six inches wide is fastened to the transom between these pieces.
Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.
Note that the mass threshold is four times that of 1958 Alpha and that the flux is one fifth as large.
Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;
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.
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 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.
Note: This list is limited to linguists who have worked specifically on the Altaic problem since the publication of the first volume of Ramstedt's Einführung in 1952.
Note that any model of ZF ¬ C is also a model of ZF, so for each of the following statements, there exists a model of ZF in which that statement is true.
Note that there is no directly corresponding concept in the German language.
Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.
Note that the above formula is only applicable to classical ideal gases and not Bose – Einstein or Fermi gases.
Note that this pressure increase is more than a simple 10: 1 compression ratio would indicate ; this is because the gas is not only compressed, but the work done to compress the gas has also heated the gas and the hotter gas will have a greater pressure even if the volume had not changed.
Note that this is not the same as a monophyly in which all descendants of a common ancestor are included.
Note: because Solar System bodies are never perfect diffuse reflectors, astronomers use empirically derived relationships to predict apparent magnitudes when accuracy is required.
Note that this is subtly different to the ' thanks ' list in the original BBC Model B.

Note and factor
Note that pot odds do not matter in this situation, because the factor here is whether it is more profitable to raise or call, rather than to call or fold.
Note in particular the ' deep fades ' where signal strength can drop by a factor of several thousand, or 30-40 dB.
Note that the subproblems must be only slightly smaller ( typically taken to mean a constant additive factor ) than the larger problem ; when they are a multiplicative factor smaller the problem is no longer classified as dynamic programming.
Note however that the existence of f has to be assumed from the start ; two objects B and B ′ that simply have isomorphic sub-and factor objects need not themselves be isomorphic ( for example, in the category of abelian groups, B could be the cyclic group of order four and B ′ the Klein four-group ).
Note: Because the refresh rate has been slowed down by a factor of three, and the resolution is less than half that of typical interlaced video, the flicker in the simulated interlaced portions and also the visibility of the black lines in this image are exaggerated.
Note, however, that because the quaternions are not commutative, the order of the factors in the multiplication formula becomes important — if the last factor in the multiplication formula were rather than
( Note that we no longer have the multiplication by 1 / 2, because the IMDCT normalization differs by a factor of 2 in the windowed case.
Note that in this case of Limit states design, we would refer to the factor as a load factor rather than a safety factor to try to eliminate possible confusion between Limit states design and the older Allowable stress design.
Note that for any orthogonal matrix if we set and, the criteria for being factors and factor loadings still hold.
Note, however, that the direction of the shift is modified by the exponential phase factor.
Note: the normalizing factor of: is present whenever angular frequency ( radians ) is used, but not when ordinary frequency ( cycles ) is used.
It was also a central idea of Jean Metzinger's Note sur la Peinture, 1910 ; Indeed, prior to Cubsim painters worked from the limiting factor of a single view-point.
Note also that a factor consisting of a sum where both types of variables are involved ( e. g. a factor of the form ) cannot be factorized in this fashion ( except in some cases where occurring directly in an exponent ); this is why, for example, the Cauchy distribution and Student's t distribution are not exponential families.
Note that, if the inductance of the two partial coils and is given ( e. g. in a simulator ), the total effective inductance that determines the frequency of the oscillation is ( coupling factor ):
Note that the player's connection is not the only factor ; the entire network path to the server is relevant, and some servers are slower than others.
Note that this ratio is the cube root of the ratio of the volume of one octant of a 3-dimensional sphere to the volume of the cube that contains it, which is just the correction factor used by Debye when approximating the energy integral above.
Note that this location adjustment applies only to the WP factor and not the OWP and OOWP factors.
Note that in this simplified model, labour is the only factor of production.
Note that the cross section is simply proportional ( by a numerical factor ) to the square of the classical radius of a point particle of mass m and charge q:

0.925 seconds.