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 electrode naming for diodes is always based on the direction of the forward current ( that of the arrow, in which the current flows " most easily "), even for types such as Zener diodes or solar cells where the current of interest is the reverse current.

( Note that the sets are open in the subspace topology even though they are not open as subsets of R .)

Note: electrode naming for diodes is always based on the direction of the forward current ( that of the arrow, in which the current flows " most easily "), even for types such as Zener diodes or solar cells where the current of interest is the reverse current.

Note also that even in validating SGML or XML 1. 0 or XML 1. 1 parsers, the external entities referenced by an FPI and / or URI in declared notations are not retrieved automatically by the parsers themselves.

Note that a grid network is not the same as a grid computer ( or computational grid ) ( even though the nodes in a grid network are usually computers, and grid computing obviously requires some kind of computer network to interconnect the computers ).

Note that the orange circles appear of different sizes, even though equal.

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

Note that this applies even if neither S nor T is normal.

Note that the term theory would not be appropriate for describing untested but intricate hypotheses or even scientific models.

Following the Note Crisis, genuine opposition to Kekkonen disappeared, and he acquired an exceptionally strong — later even autocratic — status as the political leader of Finland.

Note that this stuffed bit is added even if the following data bit is 0, which could not be mistaken for a sync sequence, so that the receiver can unambiguously distinguish stuffed bits from normal bits.

The path loss for the first ten kilometers may be 150 -- 190 dB ( Note: These values are very approximate and are given here only as an illustration of the range in which the numbers used to express the path loss values can eventually be, these are not definitive or binding figures -- the path loss may be very different for the same distance along two different paths and it can be different even along the same path if measured at different times.

Note that the Application has no idea what kind of GUIFactory it is given or even what kind of Button that factory creates.

Note that X. 25 provides for virtual calls, so appears to be a circuit switched network, even though in fact the data itself is packet switched internally, similar to the way TCP provides connections even though the underlying data is packet switched.

Note that even unused portions of active processes / tasks ( executing programs ) are eligible for swapping to disk.

( Note that even Liriel Baenre was arguably of evil alignment for the first portion of her life, only shifting to a good alignment after close relationships with several good-aligned characters.

Note that although the above example discussed orchestrating a chord, a melody or even a single note may be orchestrated in this fashion.

Note that for some people, sound may be damaging at even lower levels than 85 dB A. Exposures to other ototoxins ( such as pesticides, some medications including chemotherapy agents, solvents, etc.

Note that it can be windy, cool and clouded over at the summit, even during the summer months.

Note however, that even byte-by-byte inspection will not necessarily uncover such information since it can be easily concealed by encryption, steganography, or simple unfamiliarity.

Note that the tautology problem for positive Boolean formulae remains co-NP complete, even though the satisfiability problem is trivial, as every positive Boolean formula is satisfiable.

Note: This term was obsolete even in 1911, the date of the original version of the text below:

Note that both still have exactly the same slots even though one of them has a different value.

Note that under the tensor product, symmetric tensors are not a subalgebra: given vectors v and w, they are trivially symmetric 1-tensors, but v ⊗ w is not a symmetric 2-tensor.

Note: These models refer to Lie algebras not to Lie groups.

Note that this means that algebraic group is narrower than Lie group, when working over the field of real numbers: there are examples such as the universal cover of the 2 × 2 special linear group that are Lie groups, but have no faithful linear representation.

Note that if G is a Lie group, the Hilbert space also admits underlying smooth and analytic structures.

Note also that the Lie derivative commutes with the contraction.

Note that the antisymmetrized covariant derivative ∇< sub > u </ sub > v − ∇< sub > v </ sub > u, and the Lie derivative L < sub > u </ sub > v differ by the torsion of the connection, so that if a connection is symmetric, then its antisymmetrization is the Lie derivative.

Note that the Lie algebra of the Heisenberg group is nilpotent.

Note that the quantity being traced over is an element of the gauge Lie group and the trace is really the character of this element with respect to one of the infinitely-many irreducible representations, which implies that the operators don't need to be restricted to the " trace class " ( thus with purely discrete spectrum ), but can be generally hermitian ( or mathematically: self-adjoint ) as usual.

Note that in the Lie algebra L ( V ) of linear operators on V, the identity operator I < sub > V </ sub > is ad-nilpotent ( because ) but is not a nilpotent operator.

Note that the centrality of the series ensures the commutator gives the bracket operation the appropriate Lie theoretic properties.

Note that if e < sub > a </ sub > are the basis vectors for the Lie algebra, then are the structure constants of the Lie algebra.

Note that strengthened negations may be compatible with weakened forms of AC.

Note that unlike Hypatia he did not study ' mathematics, philosophy and astronomy ', thus he and his followers came into conflict with the ancient University of Alexandria which pursued all forms of knowledge including science and human anatomy, politics and history according to the model inaugurated by Alexander the Great, the founder of Alexandria.

Note that materialism does not necessarily imply egoism, as indicated by Karl Marx, and the many other materialists who espoused forms of collectivism.

Note this does not restrict dormant forms of life to these environments, so this argument only contradicts the widest interpretation of panspermia — that life is ongoing and is spread across many different environments throughout the Universe — and presupposes that any life needs those elements, which the proponents of alternative biochemistries do not consider certain.

Note that the letter ' h ' in both the transcription and transliteration forms should logically be omitted.

( Note that many of these languages have also borrowed forms such as " vampir / wampir " subsequently from the West ; these are distinct from the original local words for the creature.

Note that his coat of arms forms the template for Seal of Pittsburgh, Pennsylvania | that of Pittsburgh, Pennsylvania and the University of Pittsburgh.

Note that the Schwarzschild metric describes an idealized black hole that exists eternally from the perspective of external observers ; a more realistic black hole that forms at some particular time from a collapsing star would require a different metric.

Note: in the following, assumed phonological or morphological forms are presented between slashes //, while plain text is used for the standard Assyriological transcription of Sumerian.

Note that the weak van der Waals attraction forms shallow wells with energy about few meV.

Note: Population has less than 100 permanent residents, but grows to 900 every summer months, due to seasonal migrant labor stays there ( Hispanics are the main contributor ) and forms the hub of the Mexican community of the Sevier Desert.

Note: Balius and Xanthus are the Latin forms of the Greek names Balios and Xanthos.

Note that such forms should logically keep the capital for the " genus " name — i. e., < u > H </ u > omo economicus rather than < u > h </ u > omo economicus.

Historically, Blue Note has principally been associated with the " hard bop " style of jazz ( mixing bebop with other forms of music including soul, blues, rhythm and blues and gospel ).

Note that this is a list of features of the main forms of Valencian as a group of dialectal varieties that differ from those of other Catalan dialects, particularly from the Central variety of the language.

Note: Ultra Seven, Ultraman Leo, Ultraman 80 and Ultraman Mebius used their powers to create human forms for their use and did not share their existences with any human host.

Note that safety and consent are of paramount importance in the practice of more intense forms of sensation play.

Note that in physics, speeding, braking, and turning right or left all are forms of " acceleration ", represented by one vector.

Note that in 3D applications basic geometric shapes and forms are considered to be primitives rather than the above list.

Note that the maximally extended Schwarzschild metric describes an idealized black hole / white hole that exists eternally from the perspective of external observers ; a more realistic black hole that forms at some particular time from a collapsing star would require a different metric.

Note that quadratic functions, such as in the one variable case, are not quadratic forms, as they are typically not homogeneous ( unless b and c are both 0 ).

Note that some languages differentiate between these two forms of identity.

Note bending and some forms of extended playing techniques are also complicated by the presence of doubled strings.

Note: the negative jussive forms may also be ( in Eastern Armenian ) ch ' piti sirem, ch ' piti sires, etc ; ch ' piti sirei, ch ' piti sireir, etc.