According to the report, there were aircraft components factories ; a poison gas factory ( Chemische Fabrik Goye and Company ); an anti-aircraft and field gun factory ( Lehman ); an optical goods factory ( Zeiss Ikon AG ); as well as factories producing electrical and X-ray apparatus ( Koch & Sterzel AG ); gears and differentials ( Saxoniswerke ); and electric gauges ( Gebrüder Bassler ).

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 Gibson, one determines the optical flow ( which can be described as the apparent flow of the movement of objects in the visual field relative to the observer ) using the pattern of light on the retina.

According to a 2000 ESA bulletin, all spacecraft components in the optical path would have to be passively cooled to 40 kelvins to allow infrared observations to take place.

According to the principle of PECs, the two basic requirements for materials used as photo-electrodes are optical function, required to obtain maximal absorption of solar energy, and catalytic function, required for other reactions such as water decomposition.

According to Baade, he had abandoned at least one solution already, when finally he hit upon his ultimate design, which involved a novel, indeed bold departure from traditional optical designs.

According to some authors, it can be used to train the muscles and nerves of the optical system, correcting visual problems.

According to some sources, the similarities between the E-50 and the E-75 went further ; they were to be equipped with the same turret and 88mm L / 71 or L / 100 gun, along with an optical rangefinder for increased long range accuracy ( German scientists and engineers had successfully designed a ' schmal ' or narrow turret and infra-red lighting and sights for use on the prototypes of the Panther F as the war drew to a close ).

According to Maxwell all optical and electrical phenomena propagate in a medium.

According to this reconstruction, " the conversation that many have assumed was transpiring between the barmaid and gentleman is revealed to be an optical trick — the man stands outside the painter's field of vision, to the left, and looks away from the barmaid, rather than standing right in front of her.

According to Aphex, the Model 204 updates the Aural Exciter and Big Bottom processor blocks with improved circuitry, including an optical gain-control element for the Big Bottom compressor.

According to an IBM history, he had been previously employed as an optical engineer in defense industry and was eager to return to research.

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 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 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 Steven H Silver, alternate history requires three things: 1 ) the story must have a point of divergence from the history of our world prior to the time at which the author is writing, 2 ) a change that would alter history as it is known, and 3 ) an examination of the ramifications of that change.

According to the argument, the existence of the Universe requires an explanation, and the creation of the Universe by a First Cause, generally assumed to be God, is that explanation.

According to Chalmers, a naturalistic account of property dualism requires a new fundamental category of properties described by new laws of supervenience ; the challenge being analogous to that of understanding electricity based on the mechanistic and Newtonian models of materialism prior to Maxwell's equations.

According to René Descartes, rationality is built first upon the realization of the absolute truth " I think therefore I am ", which requires no faith.

According to the utilitarian, justice requires the maximization of the total or average welfare across all relevant individuals.

According to Weber's theses, social research cannot be fully inductive or descriptive, because understanding some phenomenon implies that the researcher must go beyond mere description and interpret it ; interpretation requires classification according to abstract " ideal ( pure ) types ".

According to Rand, attaining knowledge beyond what is given in perception requires both volition ( or the exercise of free will ) and adherence to a specific method of validation through observation, concept-formation, and the application of inductive reasoning and deductive reasoning.

According to Lambert and Cooper ( 2000 ), operating an integrated supply chain requires a continuous information flow.

According to military doctrine, to be successful an attacker generally requires a 3: 1 ratio of numerical superiority over the defender for foot soldiers ; in mountain warfare this ratio should be considerably higher as the terrain favours defence.

According to this argument, any proposition requires a justification.

According to museum professionals Hugh H. Genoways and Lynne M. Ireland, “ Administration of the organization requires skill in conflict management, interpersonal relations, budget management and monitoring, and staff supervision and evaluation.

According to ISO / IEC 2382-01, Information Technology Vocabulary, Fundamental Terms, interoperability is defined as follows: " The capability to communicate, execute programs, or transfer data among various functional units in a manner that requires the user to have little or no knowledge of the unique characteristics of those units ".

According to Boisot and Boland and Tenkasi, meaningful communication requires at least some sharing context between the parties to such exchange.

According to Quebec law, Montreuil could not change her record of sex because this requires proof of a completed sex reassignment surgery, which she has not had.

According to Elbert, “ democratic domesticity requires maturity, strength, and above all a secure identity that Meg lacks .”

According to some authorities, however, a child whose mother is a Bat Kohen and whose father is a non-Jew requires a Pidyon HaBen ceremony.

According to these doctrines bodhi is always there within one's mind, but requires the defilements to be removed.

According to this, happiness should coincide with the consciousness of virtue, though its reference to the relations of human life requires the additional condition, that it is only in the enjoyment of the good things and circumstances originally designed for it by nature that it attains to completion ; to these good things, however, sensuous gratification does not belong.

According to Christine L. Kettel, it is deemed problematic by those who suggest that Islamic belief requires all Muslims to be fundamentalists, and by others as a term used by outsiders to describe perceived trends within Islam.

According to Aristotle, eudaimonia actually requires activity, action, so that it is not sufficient for a person to possess a squandered ability or disposition.

According to the FAQ about Nutch, an open-source search engine website, the savings in bandwidth by distributed web crawling are not significant, since " A successful search engine requires more bandwidth to upload query result pages than its crawler needs to download pages ...".

According to the UPCI, repentance requires the repentant sinner to take the next biblical steps toward forgiveness and reconciliation to God: water baptism and the baptism of the Holy Ghost. See under headings " Repentance and Emotion " and " Relationship to Water and Spirit Baptism " in Bernard, David K. Furthermore, repentance must be accompanied by " Godly sorrow ".

According to the Theravada school, after rediscovering the path on their own, Paccekabuddhas are unable to teach the Dhamma, which requires the omniscience and supreme compassion of a Sammasambuddha, and even He hesitates to attempt to teach.