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Page "Hopfield network" ¶ 15
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Note and energy
Note that though the ideal gas itself contains no additional energy, the compressed gas does exert an increased pressure.
Note that the previous expression holds true only if the kinetic energy flow rate is conserved between system inlet and outlet.
Like all subatomic particles, hadrons are assigned quantum numbers corresponding to the representations of the Poincaré group: J < sup > PC </ sup >( m ), where J is the spin quantum number, P the intrinsic parity ( or P-parity ), and C, the charge conjugation ( or C-parity ), and the particle's mass, m. Note that the mass of a hadron has very little to do with the mass of its valence quarks ; rather, due to mass – energy equivalence, most of the mass comes from the large amount of energy associated with the strong interaction.
Note that although Be < sub > 2 </ sub > has a bond order of 0 according to MO, there is experimental evidence of a highly unstable Be < sub > 2 </ sub > compound having a bond length of 245 pm and bond energy of 10kJ / mol.
Note that E < sub > 1 </ sub > < E < sub > 2 </ sub > < E < sub > 3 </ sub >; that is, the energy of level 2 lies between that of the ground state and level 3.
Note that in both three-and four-level lasers, the energy of the pumping transition is greater than that of the laser transition.
Note that only the step of substrate unfolding requires energy from ATP hydrolysis, while ATP-binding alone can support all the other steps required for protein degradation ( e. g., complex assembly, gate opening, translocation, and proteolysis ).
Note that it is the I < sub > sp </ sub > improvement that demands the higher energy.
Note that this definition is tied to the critical density of the present cosmological era: the critical density changes with cosmological time, but the energy density due to the cosmological constant remains unchanged throughout the history of the universe.
:: Note: < span id =" linear_bus_note "></ span > The two endpoints of the common transmission medium are normally terminated with a device called a terminator that exhibits the characteristic impedance of the transmission medium and which dissipates or absorbs the energy that remains in the signal to prevent the signal from being reflected or propagated back onto the transmission medium in the opposite direction, which would cause interference with and degradation of the signals on the transmission medium.
Note that the signal-space points for BPSK do not need to split the symbol ( bit ) energy over the two carriers in the scheme shown in the BPSK constellation diagram.
Note that this method does not reduce total radiated energy, and therefore systems are not necessarily less likely to cause interference.
( Note that the same equation applies for recoil energy losses in x-rays, but the photon energy is much less, resulting in a lower energy loss, which is why gas-phase resonance could be observed with x-rays.
Note that the weak van der Waals attraction forms shallow wells with energy about few meV.
Note: despite the statement in the show that teleportation is a major drain of his energy, when Ultraman teleported from Planet R to Earth his warning light was still blue, and this was also after having destroyed Baltans on Planet R.
Note that, there is no dependence on the energy at longer wavelength.
Note in particular that the size of the energy splitting is different for the different orbitals, because the g < sub > J </ sub > values are different.
Note that the invariant mass of a system of particles may be more than the sum of the particles ' rest masses, since kinetic energy in the system center-of-mass frame and potential energy from forces between the particles contribute to the invariant mass.
( Note that potential energy of a spring is always non-negative.
( Note that the energy is already being generated elsewhere to provide the high initial gas pressure-this method simply distributes the energy via a different route.

Note and function
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, however, that currying, while similar, is not the same operation as partial function application.
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.
Note that the result of partial function application in this case is a function that takes two arguments.
Note that is a monotone function in γ and that the solution γ must satisfy.
Note that this derivation does assume that ƒ ( x ) is sufficiently differentiable and well-behaved ; specifically, that ƒ may be approximated by polynomials ; equivalently, that ƒ is a real analytic function of exponential type.
Note that for a Euclidean function that is so established there need not exist an effective method to determine q and r in ( EF1 ).
: is a spherical harmonic function of degree ℓ and order m. Note that the generalized Laguerre polynomials are defined differently by different authors.
Note that the operators operate on elements from the domain and range, respectively, of the " one-to-one " and " onto " function ƒ.
Note that the likelihood function depends only on what actually happened, and not on what could have happened.
Note that parameters of a function are not necessarily in parentheses but separated by spaces.
Note the difference in passport color and function as per passport type.
Note that when N = R, the map dφ < sub > x </ sub >: T < sub > x </ sub > M → R coincides with the usual notion of the differential of the function φ.
Note that the waves shown here are real for illustrative purposes only whereas, in quantum mechanics the wave function is generally complex.
The Preliminary Note of Explanation did not in fact alter the value of the statement on collegiality in the text of Lumen Gentium: it " strengthened the adherence to the doctrine of the First Vatican Council on the primacy, but it did not subsequently strike out anything from the direct divine origin of the episcopal office and its function, and the responsibility of the College of Bishops for the Universal Church.
Note: This function may be integrated into the ET.
Note: The multiplexing function is performed in the D-4 framing structure by interleaving bits of consecutive bytes as they are presented from individual circuits into each D-4 frame.
Note 2: The FCC registration program contains no requirement that accepted terminal equipment be compatible with, or function with, the network.
Note that there exists an instance of Bayes ' theorem for each point in the Domain of a function | domain.
( Note that it is written as a relation, not as a function: T isn't written here as a function of M, L, and g .)
Note that searing in no way " locks in " moisture: moisture loss is simply a function of heat and time.

1.325 seconds.