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

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, although rarely occurring, if a runner tags and advances from second base ( or, theoretically, from first base ) all the way to home and scores ( without an intervening error ) the batter is credited with a sacrifice fly.

Note that the requirement that the maps be continuous is essential ; if X is infinite-dimensional, there exist linear maps which are not continuous, and therefore not bounded.

Note that if we regard the product as a vector space, then B is not a linear transformation of vector spaces ( unless or ) because, for example.

Note that the validity of a conditional proof does not require that the CPA is actually true, only that if it is true it leads to the consequent.

( Note that, technically, Wisda's damages would be the lost profits only — if Wisda would have had $ 35 per hour in wages, materials and other expenses, its actual damages are only $ 15 per hour

Note that this document type declaration can only appear after the optional XML declaration, and before the document body, if the document syntax conforms to XML.

Note that if the operations are performed in a colour space where γ is not equal to 1 then the operation will lead to non-linear effects which can potentially be seen as aliasing artifacts ( or ' jaggies ') along sharp edges in the matte.

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, however, that if the MSE is relatively low, then the arrows are likely more highly clustered ( than highly dispersed ).

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

Then, once this claim ( expressed in the previous sentence ) is proved, it will suffice to prove " φ is either refutable or satisfiable " only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ ( i. e., ( φ ≡ ψ ) is provable ), then it is indeed the case that " ψ is either refutable or satisfiable " → " φ is either refutable or satisfiable " ( the soundness theorem is needed to show this ).

Note that these drugs do not treat hyperthyroidism or any of its long-term effects if left untreated, but, rather, they treat or reduce only symptoms of the condition.

Note that if n < sub > 1 </ sub > and n < sub > 2 </ sub > are the same, the antisymmetric expression gives zero, which cannot be a state vector as it cannot be normalized.

Note: if the product resulting from the labor process is homogeneous ( all similar in quality and traits, for example, all cups of coffee ) then the value of the period ’ s product can be divided by the total number of items ( use-values ) produced to derive the unit value of each item.

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: This fact provides a proof of the infinitude of primes distinct from Euclid's Theorem: if there were finitely many primes, with p being the largest, we reach an immediate contradiction since all primes dividing 2 < sup > p </ sup > − 1 must be larger than p .</ li >

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

Note that if you graph the functions the axes represent quantities.

Note that a device designed primarily as a comparator may be better if, for instance, speed is important or a wide range of input voltages may be found, since such devices can quickly recover from full on or full off (" saturated ") states.

Note that the non-inverting input of the operational amplifier will need a path for DC to ground ; if the signal source might not give this, or if that source requires a given load impedance, the circuit will require another resistor — from input to ground.

* * Note: if submerged reefs are included then Velasco reef is Palau's northern-most point

( 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 that " offshoring " is not synonymous with " outsourcing ", which means " to subcontract from an outside supplier or source ", such as when a business outsources its bookkeeping to an accounting firm.

( Note: Dates of capitulation differ slightly depending on source ).

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

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

Note that is positive while is negative ; in any reversible work-extracting process, entropy is overall not increased, but rather is moved from a hot ( high-entropy ) system to a cold ( low-entropy one ), decreasing the entropy of the heat source and increasing that of the heat sink.

( Note that the source should have a polarity that is aligned with the initial current )

Note that a system need not include source code derived in any way from AT & T Unix to meet the specification.

Note that the earth itself has no role in this fault-clearing process since current must return to its source, not the earth as is sometimes believed ( see Kirchhoff's circuit laws ).

Note that one can only speak of the noise temperature of a component or source whose impedance has a substantial ( and measurable ) resistive component.

Note: The carrier wave may continue unmodulated or it may be modulated by another signal source, such as a subcarrier.

Note that this is only the case if the source is close to an ideal point source.

Note: Gate, source and drain contacts are not normally in the same plane in real devices, and the diagram is not to scale.

Note also the confusing term " System / 370-compatible ", which appeared in IBM source documents to describe certain products.

Note: Canon sources are mixed as to whether R2-D2 has a gender, but Wallace ( an official source ) indicates that the droid has masculine programming.

Note that an air source heat pump is more efficient in hotter climates than cooler ones, so when the weather is much warmer the unit will perform with a higher COP ( as it has less work to do ).

Note: the Greek Septuagint ( LXX ) of Genesis includes an additional son of Japheth, " Elisa ", in between Javan and Tubal ; however, as this name is found in no other ancient source, nor in I Chronicles, he is almost universally agreed to be a duplicate of Elisha, son of Javan.

Note systems involve the use of sequential numbers in the text which refer to either footnotes ( notes at the end of the page ) or endnotes ( a note on a separate page at the end of the paper ) which gives the source detail.

Note that W, and consequently its infinitesimal increment dW, represents the only source of uncertainty in the price history of the stock.

Note that the first quote above is not attested in any Mormon source, but first appeared in a derisive article in the New York Times on May 15, 1860.

... For a source to be considered acceptable to this project it must comply with the following standards: ( 1 ) site updated at least daily ; ( 2 ) all stories separately archived on the site, with a unique url ( see Note 1 below ); ( 3 ) source widely cited or referenced by other sources ; ( 4 ) English Language site ; ( 5 ) fully public ( preferably free ) web-access.