Note derivative is positive number | positive where green line appears, negative number | negative where red line appears, and zero ( number ) | zero where black line appears.

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 derivative is positive number | positive where green, negative number | negative where red, and zero ( number ) | zero where black

The other maxima occur at angles which are represented by non-zero integers m. Note that m can be positive or negative, resulting in diffracted orders on both sides of the zero order beam.

Note the difference between the positive and negative ranges.

Note that a positive phase shift, at a given moment of time, shifts the wave in the negative x-axis direction.

Note that this definition of the negative binomial distribution does not easily generalize to a positive, real parameter r.

( Note that (*) guarantees that either all three of U, V, W are positive, or else exactly two are negative.

Note that the magnetic flux is the net number of field lines passing through that surface ; that is, the number passing through in one direction minus the number passing through in the other direction ( see below for deciding in which direction the field lines carry a positive sign and in which they carry a negative sign ).

Note that the flux of E through a closed surface is not always zero ; this indicates the presence of " electric monopoles ", that is, free positive or negative charges.

Note that the above equation is flawed — as the temperature approaches zero, the entropy approaches negative infinity, in contradiction to the third law of thermodynamics.

Note that in order to act near optimally, the agent must reason about the long term consequences of its actions: In order to maximize my future income I better go to school now, although the immediate monetary reward associated with this might be negative.

Note the branch cut along the negative real axis, ending at − 1 / e.

Note that the reason we can discard the absolute value sign is that, as we observed earlier, ( x − 4 )< sup > 2 </ sup > + 9 can never be negative.

Note that a negative number with greater magnitude is considered less.

( Note however that the formula is not valid when is a negative integer or zero.

Note that negative polarity can be triggered not only by direct negatives such as " not " or " never ", but by words such as " doubt " or " hardly " (" I doubt he has ever owed anything to anyone " or " He has hardly ever owed anything to anyone ").

Note that the ( negative ) gradient at a point is orthogonal to the contour line going through that point.

" The World Council of Churches in The Challenge of Proselytism and the Calling to Common Witness states the following: ( Note: this document uses proselytism in the negative sense only.

Note that there is no value judgment attached to the terms negative or positive.

Note that there is also a small component of force in the negative y direction ( F < sub > y </ sub >).

Note that ( as shown above ) the signs of reactances become reversed in the admittance domain, i. e. capacitive susceptance is positive and inductive suceptance is negative.

Note also that while an anti de Sitter space would describe general relativity with a negative cosmological constant in five dimensions ( four for spacetime and one for the effect of the cosmological constant ), the idea is actually more general.

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 that the even subalgebra of a Lie superalgebra forms a ( normal ) Lie algebra as all the signs disappear, and the superbracket becomes a normal Lie bracket.