According to Bloch, other elements of society can be seen in feudal terms ; all the aspects of life were centered on " lordship ", and so we can speak usefully of a feudal church structure, a feudal courtly ( and anti-courtly ) literature, and a feudal economy.

According to R. Howard Bloch, fabliaux are the first expression of literary realism in Europe.

According to Dr. Bloch, who treated her, she was a very quiet, sweet, and affectionate woman.

According to Bloch, social justice could not be realized without seeing things fundamentally differently.

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

According to (), the first historical mention of the statement of this theorem appears in ().

According to Birkhoff's theorem, it is the only vacuum solution that is spherically symmetric.

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

According to the theorem, it is possible to expand any power of x + y into a sum of the form

According to Noether's theorem, the conservation of energy is a consequence of the fact that the laws of physics do not change over time.

According to the theorem, within every sufficiently powerful logical system ( such as Principia ), there exists a statement G that essentially reads, " The statement G cannot be proved.

* According to a theorem of Nikolay Nikolov and Dan Segal, in any topologically finitely-generated profinite group ( that is, a profinite group that has a dense finitely-generated subgroup ) the subgroups of finite index are open.

According to the spin-statistics theorem, particles with integer spin occupy symmetric quantum states, and particles with half-integer spin occupy antisymmetric states ; furthermore, only integer or half-integer values of spin are allowed by the principles of quantum mechanics.

According to Rice's theorem, if there is at least one computable function in a particular class C of computable functions and another computable function not in C then the problem of deciding whether a particular program computes a function in C is undecidable.

According to the Rouché – Capelli theorem, the system is inconsistent if the rank of the augmented matrix is greater than the rank of the coefficient matrix.

According to the optical Raychaudhuri's theorem, this requires a violation of the averaged null energy condition.

According to the theorem, the reconstructed signal will match the original signal provided that the original signal contains no frequencies at or above this limit.

According to the Nyquist theorem, error-free detection of the line code requires a channel bandwidth of at least the Nyquist rate, which is half the line code pulse rate.

According to Shannon's source coding theorem, the optimal code length for a symbol is − log < sub > b </ sub > P, where b is the number of symbols used to make output codes and P is the probability of the input symbol.

According to the CPT theorem of particle physics, antihydrogen atoms should have many of the characteristics regular hydrogen atoms have ; i. e., they should have the same mass, magnetic moment, and transition frequencies ( see atomic spectroscopy ) between their atomic quantum states.

According to Liouville's theorem, any bounded complex analytic function defined on the whole complex plane is constant.

According to Allen Weiss, in Mirrors of Infinity, this optical effect is a result of the use of the tenth theorem of Euclid ’ s Optics which asserts that “ the most distant parts of planes situated below the eye appear to be the most elevated .” In Fouquet ’ s time, interested parties could cross the canal in a boat, but walking around the canal provides a view of the woods that mark what is no longer the garden and shows the distortion of the grottos previously seen as sculptural.

According to the virial theorem, the gravitational binding energy of a star is about two times its internal thermal energy.

According to the correspondence principle and Ehrenfest's theorem as a system becomes larger or more massive ( action >> Planck's constant ) the classical dynamics tends to emerge, with some exceptions, such as superfluidity.

According to the Kutta – Joukowski theorem, lift is the product of circulation, airspeed, and air density.

According to the Shannon – Hartley theorem, the channel capacity of a properly-encoded signal is proportional to the bandwidth of the channel and the logarithm of the signal-to-noise ratio ( SNR ) ( assuming the noise is additive white Gaussian noise ).

According to Ptolemy's second theorem,

According to the inverse function theorem, the matrix inverse of the Jacobian matrix of an invertible function is the Jacobian matrix of the inverse function.

According to one leading historian of statistics, he may have been the earliest discoverer of Bayes theorem.

According to Lenz's law, the field of these electrons will oppose the magnetic field changes provided by the applied field.

According to Bohr's model of the atom, electrons have a high velocity, and the larger the nucleus they are orbiting the faster they would need to move.

According to the theory, as the Universe cooled after the big bang it eventually became possible for common subatomic particles as we know them ( neutrons, protons and electrons ) to exist.

According to the researchers, three " wires " converge on a central " island " which can house one or two electrons.

According to Poisson statistics the actual number of electrons in any nanosecond would vary by 10 electrons rms, so that one sixth of the time less than 90 electrons would pass a point and one sixth of the time more than 110 electrons would be counted in a nanosecond.

According to the laws of quantum mechanics, an energy is associated with each electron configuration and, upon certain conditions, electrons are able to move from one orbital to another by emission or absorption of a quantum of energy, in the form of a photon.

According to the octet rule, the atoms immediately before and after neon in the periodic table ( i. e. C, N, O, F, Na, Mg and Al ), tend to attain a similar configuration by gaining, losing, or sharing electrons.

According to the Pauli principle, at most two electrons can occupy a given orbital, and if an orbital contains two electrons they must be in opposite spin states.

According to the Bohr model of the atom, electrons exist in quantized energy levels surrounding the atom's nucleus.

According to the classical Drude model, metallic electrons act as a nearly ideal gas, and so they should contribute ( 3 / 2 ) N < sub > e </ sub > k < sub > B </ sub > to the heat capacity by the equipartition theorem, where N < sub > e </ sub > is the number of electrons.

According to its definition is the number of ionizations per length of path and thus the relation of the probability that there was no collision in the mean free path of the ions, and the mean free path of the electrons:

According to the Standard Model of particle physics, the particles that make up an atom — quarks and electrons — are point particles: they do not take up space.

According to the model, spatial color distribution of luminous balls commonly observed in HL phenomenon are produced by electrons accelerated by electric fields during rapid fracture of piezoelectric rocks under the ground.

According to the Pauli exclusion principle, each phase space element ( Δk )< sup > 3 </ sup >( Δx )< sup > 3 </ sup > can be occupied only by two electrons ( one per spin quantum number ).

According to the Pauli principle, the electrons in the ground state occupy all the lowest-energy states, up to some Fermi energy.

According to MO theory, the central atom of penta-and hexacoordinated molecules would be sp < sup > 3 </ sup > d and sp < sup > 3 </ sup > d < sup > 2 </ sup > hybridized, which requires the promotion of central atom electrons to unoccupied d-orbitals.

According to CFT, the interaction between a transition metal and ligands arises from the attraction between the positively charged metal cation and negative charge on the non-bonding electrons of the ligand.

According to the orbital hybridisation theory, the valence electrons in methane should be equal in energy but its photoelectron spectrum shows two bands, one at 12. 7 eV ( one electron pair ) and one at 23 eV ( three electron pairs ).

According to Mr. Toshi Oyama, Ph. D. R & D Manager, WESGO Metals, " the thermal conductivity of CuSil was calculated from electrical conductivity, which is reasonable since both are controlled by free electrons in metals.