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

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 acid can be the charged species and the conjugate base can be neutral in which case the generalized reaction scheme could be written as HA < sup >+</ sup > H < sup >+</ sup > + A.

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, however, that the fifth article did not completely deny perseverance of the saints ; Arminius, himself, said that " I never taught that a true believer can … fall away from the faith … yet I will not conceal, that there are passages of Scripture which seem to me to wear this aspect ; and those answers to them which I have been permitted to see, are not of such as kind as to approve themselves on all points to my understanding.

Note that wav files can also be encoded with the gsm codec.

Note that arrows between categories are called functors, subject to specific defining commutativity conditions ; moreover, categorical diagrams and sequences can be defined as functors ( viz.

Note that this is different from the recursive languages which can be decided by an always-halting Turing machine.

Note that for any fixed w the function f ( x ) = F ( w x ) is computable ; thus the universality property states that all computable functions of one variable can be obtained in this fashion.

Note that the chocolate pictured here is soft, can easily be crumbled by hand, and already has sugar added.

Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").

These polar unit vectors can be expressed in terms of Cartesian unit vectors in the x and y directions, denoted i and j respectively :< ref > Note: unlike the Cartesian unit vectors i and j, which are constant, in polar coordinates the direction of the unit vectors u < sub > r </ sub > and u < sub > θ </ sub > depend on θ, and so in general have non-zero time derivatives .</ ref >

Note that completeness is a property of the metric and not of the topology, meaning that a complete metric space can be homeomorphic to a non-complete one.

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 a dominatrix does not necessarily dominate a male partner ; a dominatrix may well have female submissives, nor must the role of a dominatrix involve pain toward the submissive ; her domination can be verbal, involving humiliating tasks and servitude.

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.

: Note that the equivalence relation generated in this manner can be trivial.

Note that by reversing the equation, we can swap < math > < </ math > and, for example:

Note that one can also define a contravariant functor as a covariant functor on the dual category.

Note: Many of the essays found in these works have been individually translated and can be found in the English collections.

It is unclear which version of the paradox is stronger .< ref group =" Note "> Let be the number of civilizations ( per unit volume ) that can be seen at a radius.

Hunters use the clues to try to find the benchmark ; the benchmark can be logged as Found, Not Found, Note, or Destroyed.

Note that due to the reduced number of colors in the image, there are obvious display issues. GIF is palette-based: the colors used in an image ( a frame ) in the file have their RGB values defined in a palette table that can hold up to 256 entries, and the data for the image refer to the colors by their indexes ( 0 – 255 ) in the palette table.

Note also that ' br ' is an empty element in that, while it may have attributes, it can take no content and it may not have an end tag.

Note that the maximum value of the angular momentum quantum number is limited by the principal quantum number: it can run only up to n − 1, i. e..