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 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 that it is the nature of all screws and helices that it does not matter in which direction you point your thumb when determining its handedness.

Note that you will need a font that supports the Unicode IPA Extensions to see the IPA characters.

" Note that in a cryptic clue, there is almost always only one answer that fits both the definition and the wordplay, so that when you see the answer, you know it is the right answer-although it can sometimes be a challenge to figure out why it is the right answer.

Note that the verb " see " can often be used instead of " call ": " Bob saw Carol's bet ", although the latter can also be used with the bettor as the object: " I'll see you " means ' I will call your bet '.

Note that the journey through space-time continuum could age you backwards, or wipe you from existence.

Note that in this last sentence, the plurality of it (-) is obscured ; the meaning can be either I give < u > it </ u > to you all or I give < u > them </ u > to you all.

Note that you have to measure the amounts in the same unit that was used to calculate the intensive property from the extensive property.

Note that when you integrate along an axis other than the, the further axis may not be that obvious.

Note that this operationalization does not work if you believe the opponent has a different belief than you.

Note this is the total number of holes, if you count 6 holes on one side you have 12 holes ( 150cm ).

Note that some pages may continue to be displayed as if you were still logged in ; this can be fixed by clearing your browser cache.

Note: Choosing the right search terms is the key to finding the information you need.

** Note: sometimes you can see this button only if you put your mouse over the drop-down arrow to the right of the " Edit " and " View history " buttons

Note, however, that despite the absence of border controls, when travelling from one to another European Union country, you need to carry with you some sort of identity document ( ID card or passport ).

:: Note: The image comment is displayed above the picture when you click on any thumbnail, and is embedded in the JPG or GIF file.

Note that whether a transaction is framed as a loss or as a gain is very important to this calculation: would you rather get a $ 5 discount, or avoid a $ 5 surcharge?

From the up-tempo Latin groove of “ Evanly ” with its vocal out chorus ; the mid tempo swing of “ No Way LA ” & “ Ten Minutes To Twelve ”; the Lunceford-like band vocals on “ Stompin ’ @ The Savoy ” & “ It Don ’ t Mean a Thing ( If It Ain ’ t Got that Swing )”; to Hamilton ’ s vocalizing on “ Every Time I Smile ”; the pastoral melodic beauty of “ You ’ re Note Alone ”; the up-tempo funk of “ Black Eyed Peas ”; and the bossa funkiness of “ Foot Prints in the Sand ” with its starkly beautiful vocal out chorus-every track is like turning a page in a book that ’ s holding you on the edge of your seat, your rapt attention dying to know what ’ s next to be revealed.

: Note: For ease of understanding, this discussion uses the terms intersection, road and map — however, formally these terms are vertex, edge and graph, respectively.

Note that this graph does not show the forward curve ( which plots against maturities on the horizontal ).

Note that this graph does not show the forward curve ( which plots against maturities on the horizontal ).

Note that although a function is always identified with its graph, they are not the same because it will happen that two functions with different codomain could have the same graph.

Note: may vary between and, depending on known estimates of the number of graph edges.

Note that in the graph here, there is still a small but positive lift coefficient with angles of attack less than zero.

Note that the excursion is understated in this graph due to the smoothing of data.

The incidence matrix of a directed graph D is a p × q matrix where p and q are the number of vertices and edges respectively, such that if the edge leaves vertex, if it enters vertex and 0 otherwise ( Note that many authors use the opposite sign convention.

Note: Many terms used in this article are defined in Glossary of graph theory.

' Note – From 1920 – 1958 the 3rd tier was split into North and South divisions, graph indicates Brentford's position in the South division

Note that the unigrams placed in the graph can be filtered by part of speech.

Note that this line is a secant or chord of the graph of the function f. In point-slope form, it can be defined as

Note that any coloring of a graph with the minimum number of colors must be a complete coloring, so minimizing the number of colors in a complete coloring is just a restatement of the standard graph coloring problem.

Note however that each linear program may have size that is exponential in the number of vertices of G, and that computing the fractional chromatic number of a graph is NP-hard.

Note that in the calculations used to make this graph, the activation of fission products was ignored and the fission was assumed to occur in a single moment rather than a length of time.

Note that Figure 2 plots the independent and response variables in the opposite axes to those normally used, so that it may be superimposed onto the previous graph, to show the Nash equilibria at the points where the two player's best responses agree in Figure 3.

Note: Data on this graph is plotted on a logarithmic vertical axis.

Note that the nD version, which is based on the graph generalization of the Laplacian, assumes all neighbors to be at an equal distance, and hence, leads to the following 2D-filter with diagonals included, rather than the version above:

Note that by definition of graph theoretic distances, the classic closeness centrality of all nodes in an unconnected graph would be 0.

Note that c < sub > R </ sub > is a search problem while # R is a decision problem, however c < sub > R </ sub > can be C Cook reduced to # R ( for appropriate C ) using a binary search ( the reason # R is defined the way it is, rather than being the graph of c < sub > R </ sub >, is to make this binary search possible ).

Note that the graph of a partial function is a binary relation, and if T calculates a partial function then there is at most one possible output.