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, however, that if the MSE is relatively low, then the arrows are likely more highly clustered ( than highly dispersed ).

Note that both arrows point in the same direction.

Note: On this way, many arrows help in indicating the way.

Note the use of negative space to create arrows pointing outward.

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 if you graph the functions the axes represent quantities.

Note that in between some cases, the roles and labels of the nodes are exchanged, but in each case, every label continues to represent the same node it represented at the beginning of the case.

Note: The circuit noise level is usually expressed in dBrn0, signifying the reading of a circuit noise meter, or in dBa0, signifying circuit noise meter reading adjusted to represent an interfering effect under specified conditions.

Note: A managed object may represent a physical entity, a network service, or an abstraction of a resource that exists independently of its use in management.

Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number.

The Julia set of a function ƒ is commonly denoted J ( ƒ ), and the Fatou set is denoted F ( ƒ ).< ref > Note that for other areas of mathematics the notation can also represent the Jacobian matrix of a real valued mapping between smooth manifolds .</ ref > These sets are named after the French mathematicians Gaston Julia and Pierre Fatou whose work began the study of complex dynamics during the early 20th century.

Note that the various Names of God in Judaism, generally, correspond to the “ attributes of action ” — in that they represent God as he is known.

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 that running time is measured in terms of the size of the input, which in this case is ~ log n, that being the number of bits needed to represent the number n .) The elliptic curve primality test can be proven to run in O (( log n )< sup > 6 </ sup >), but only if some still unproven ( but widely assumed to be true ) statements of analytic number theory are used.

Note that Svedberg units are not directly additive, since they represent a rate of sedimentation, not weight.

Note: In some cases, or can be used to represent the adiabatic lapse rate in order to avoid confusion with other terms symbolized by, such as the specific heat ratio or the psychrometric constant.

Note that a reversed apostrophe is sometimes used to represent aspiration, as in Armenian linguistics ⟨⟩; this usage is obsolete in the IPA.

Note that the current council moved into " caretaker mode " on Tuesday 25 September 2012 and following the 2012 Victorian Local Government Elections on Saturday 27 October 2012, the Geelong Council will comprise thirteen ( 13 ) councillors ; consisting of one directly elected Mayor and twelve councillors, each elected to represent one of the twelve existing wards.

Note that while the ISO 3166-1 alpha-2 code < tt > CS </ tt > was used to represent Czechoslovakia before it was dissolved in 1993, this predated the first publication of ISO 3166-2 in 1998.

Note that the letters,, ( apostrophe ),,,,,, Ъ, Ь, and do not occur word initially, either because the letters mark features of preceding consonants or the sounds they represent do not occur word initially.

Note that the shorthand form Na < sub > 4-x </ sub > H < sub > x </ sub > Y can be used to represent any species of EDTA, with x designating the number of acidic protons bonded to the EDTA molecule.

Note the issue of legal consent which may or may not represent a defense to criminal liability for any injuries caused.

Note that the red lines represent the depolarization wave, not blood flow.

Note that the user has manipulated the heaven beads and earth beads to represent the number 1234567890

Note: This is an incomplete listing which should not be taken to represent the netznetz community as a whole.

( Note that the right hand side of the equation is simply another way to represent a complex number.

Note that the vowels below represent the phonetic inventory, meaning the set of all ( or most ) sounds in the language ; the phonemic inventory, those sounds which contrastively mark differences in meaning, are highlighted in the list below the vowel charts.

Note that there is limited research regarding reading in special needs, but this article attempts to represent the most current evidence on this topic.

Note that the scalar momentum of the electron ( formerly zero ) must exceed the momentum lost by the photon:

Note in the second equation that if instead of planck masses the electron mass were used, the equation would no longer be unitary and instead equal a gravitational coupling constant, analogous to how the equation of the fine-structure constant operates with respect to the elementary charge and the Planck charge.

Note: Recently, another foundation to construct the DFT without the Hohenberg – Kohn theorems is getting popular, that is, as a Legendre transformation from external potential to electron density.

Note in the left-most image of aniline, high electron densities are associated with the carbons and nitrogen, but the hydrogens with only one proton in their nuclei, are not visible.

Note that in these experiments, the only quantity that affects the result is the difference in phase between the two parts of the electron wave.

Note that the image is not to scale ; in reality the nucleus is vastly smaller than the electron shell.

Note that the unpaired electron does not imply charge-free radicals can be positively charged, negatively charged, or neutral.

Note that for silicon, the top of the valence band is not directly below the bottom of the conduction band ( E < sub > v </ sub > is for an electron traveling in direction Γ, E < sub > c </ sub > in direction X ), so silicon is called an indirect gap material.

Note that, if is electron mass, plasma frequency depends only on physical constants and concentration of electrons.

Note that the geometries are named according to the atomic positions only and not the electron arrangement.

Note that the alignment of electron spins at a given magnetic field and temperature is described by the Boltzmann distribution under the thermal equilibrium ( see figure ).

Note that this is quite different from the Mott-Hubbard insulator model because there is no electron transfer between unit cells, only within a unit cell.

Note that the smaller coupling constant ( smaller line spacing ) is due to the three methoxy hydrogens, while the larger coupling constant ( line spacing ) is from the two hydrogens bonded directly to the carbon atom bearing the unpaired electron.