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: ∇< sup > 2 </ sup > F represents, in this case, the vector formed by the individual Laplacian of each component of the vector in question )

( Note that we are imagining the vector field to be like the velocity vector field of a fluid ( in motion ) when we use the terms flow, sink and so on.

Note however that working with the current two form itself and the exterior derivative is usually easier than working with the vector field and divergence, because unlike the divergence, the exterior derivative commutes with a change of ( curvilinear ) coordinate system.

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 one can normally use the vector identity

Note that an eight-dimensional vector can be specified in many different ways depending on what basis is chosen for the space.

Note that the expression ( 1 ) for a vector rotation through an angle θ, the angle appearing in γ was halved.

Note that in this equation, both force and displacement are vector quantities.

Note that this definition of V depends on the gauge choice for the vector potential A ( the gradient of any scalar field can be added to A without changing B ).

( Note that on the 80186 and earlier, the first kibibyte of the address space, starting at address 0, is the permanent, immovable location of the interrupt vector table.

Note that this means that two non-equal points can be used to define a plane so long as they are ordered and used according to an agreed convention: for example, the first point sits on the plane and the normal vector is defined implicitly from (-).

Note that the zero on the right is the zero vector, not the number zero.

Note however that there is no correspondence with regards to perpendicular planes, because vectors in subspaces start from the origin ( definition of vector subspace ).

Note that at point the curve is parallel to the flow velocity vector, where the velocity vector is evaluated at the position of the particle at that time.

Note that an arbitrary initial separation vector will typically contain some component in the direction associated with the MLE, and because of the exponential growth rate, the effect of the other exponents will be obliterated over time.

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

Note that the concept of feature in GML is a very general one and includes not only conventional " vector " or discrete objects, but also coverages ( see also GMLJP2 ) and sensor data.

Note that the theoretical curves and the observed curves are not plotted at the same scale: the dotted curves, in fact, represent only one-eighth of the theoretical displacements.

Note the dot between 1 and 2 ; this indicates that the S-expression is a " dotted pair ," rather than a " list.

Note that in Turkish orthography the letter I is the majuscule of dotless ı, whereas İ is the majuscule of dotted i.

Note dotted black line denoting boundary of Twickenham Parish, within which Syon I was situated

Note that dotted and dotless I are separate letters, each with its own uppercase and lowercase form.

Quite other feelings are evidenced by this style: Af Note the drop to pitch 1 ( the lowest ) on mother with no rise at the end of the sentence ; ;

Note that by Western standards this plan was `` upside down '', as it put North at the bottom and South at the top, with the other directions correspondingly altered ; ;

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

Note that the 64x16 TRS-80 mode screen uses only a small part of the monitor screen, because the letters are the same size as the 80 × 25 CP / M screen, this was one of the things that was soon after fixed with the redesign to a commercial product

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

In 2004, she accorded three stars to chef Jean-Georges Vongerichten ’ s Spice Market restaurant after Vongerichten gave her book Cooking for Mr. Latte a positive blurb ; the Times spotlighted the incident with an Editor ’ s Note.

Note that the constituency boundaries do not align exactly with those of the district of the same name.

Note however that Korean is nearly universally transcribed as vs., with the details of voice onset time given numerically.

( 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 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 K is the SI unit for temperature ( kelvin ) and should not be confused with k, the SI prefix for kilo.

( Note, however, that a GC stacking interaction with the next base pair is geometrically different from a CG interaction.

" ( KJV ) The Watchtower states: " Note that Jesus first got baptized with water.

Note that this approach falters, in part, with the verb " to appear ".

Note: it is reported in the scientific literature that some " shock " features, such as small shatter cones, which are often reported as being associated only with impact events, have been found in terrestrial volcanic ejecta.

Note that after calling, we are left with a function that takes a single argument and returns another function, not a function that takes two arguments.

Years are usually counted from a particular starting point, usually called the epoch, with era referring to the particular period of time ( Note the different use of the terms in geology ).

Note that this brain-in-a-vat argument conflates cyberspace with reality, while the more common descriptions of cyberspace contrast it with the " real world ".

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: Version 1. 6 effectively coincided with the release of Valve Software's Steam content delivery system on September 12, 2003.

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 ").

Note that a mixture with a given composition has one boiling point at a given pressure, when the components are mutually soluble.