Other industries had developed by that time to replace it, including the production of mathematical instruments, shoes and cement.

Other Flexowriter characters that were found a use in Atlas Autocode were: in floating-point numbers, e. g. for modern ; to mean " the second half of an Atlas memory word "; for the mathematical pi number.

Other programs can map mathematical formulae and constants to produce sequences of notes.

Other mathematical developments in radar signal processing include time-frequency analysis ( Weyl Heisenberg or wavelet ), as well as the chirplet transform which makes use of the change of frequency of returns from moving targets (" chirp ").

Other curiosities and pastimes of non-trivial mathematical interest:

Other " miscellaneous " research areas in theoretical chemistry include the mathematical characterization of bulk chemistry in various phases ( e. g. the study of chemical kinetics ) and the study of the applicability of more recent math developments to the basic areas of study ( e. g. for instance the possible application of principles of topology to the study of elaborate electronic structure ).

* Other significant contributions to scientific and mathematical understanding were made by Avicenna, who would later publish influential works on medicine, Persian Muslim polymath and scientist Abu Rayhan al-Biruni, Arab Egyptian Muslim mathematician and astronomer Ibn Yunus, Persian Muslim physicist and mathematician Abu Sahl al-Quhi ( Kuhi ) and Persian Muslim astronomer and mathematician, Abu-Mahmud al-Khujandi.

Other examples of mathematical objects might include lines and planes in geometry, or elements and operations in abstract algebra.

Other observables would not lead to that conclusion, but there need not be any problem in defining a mathematical theory for other observables ; see Hyman et al.

Other changes included a chapter by Bryan A. Garner on American English grammar and usage, and a revised treatment of mathematical copy.

Other important mathematical physicists of the seventeenth century included the Dutchman Christiaan Huygens ( famous for having suggested the wave theory of light ), and the German Johannes Kepler ( Tycho Brahe's assistant who discovered the equations for planetary motion ).

Other companies that did not originally use such mathematical and scientific methods most often failed or were forced to adopt the methods pioneered by Equitable.

Other methods of converting phase to amplitude, including mathematical algorithms such as power series can be used, particularly in a software NCO.

Other mathematical fields where projective spaces play a significant role are topology, the theory of Lie groups and algebraic groups, and their representation theories.

Other mathematical objects are also constructed in such a way that the intuitive notion of " equality " agrees with set-level extensional equality ; thus, equal ordered pairs have equal elements, and elements of a set which are related by an equivalence relation belong to the same equivalence class.

Other theorems are obtained by considering different mathematical structures with appropriate notions of ideals, for example, rings and prime ideals ( of ring theory ), or distributive lattices and maximal ideals ( of order theory ).

Other types of proofs — such as proof by induction ( mathematical induction )— are considered more elegant.

Other equations in physics, such as Gauss's law of the electric field and Gauss's law for gravity, have a similar mathematical form to the continuity equation, but are not usually called by the term " continuity equation ", because j in those cases does not represent the flow of a real physical quantity.

Other integral transforms find special applicability within other scientific and mathematical disciplines.

Other, related, mathematical rings are called Hecke algebras, although the link to Hecke operators is not entirely obvious.

Other, self-acknowledged ASTROLOGERS also use mathematical equations of celestial phenomena to make future predictions, using past historical data to guide them in what will happen the next time the same planetary aspects are formed.

** Other mathematical areas:

Other kinds of mathematical coincidence than near-integer reals, such as integers simultaneously satisfying multiple seemingly unrelated criteria or coincidences regarding units of measurement, may also be considered.

Other awards include the ACM Grace Murray Hopper Award ( 1996 ) for outstanding young computer professional of the year and the RSA Award in Mathematics ( 1998 ) for outstanding mathematical contributions to cryptography.

Other principles include responsible government, representation by population, judicial independence, parliamentary supremacy, and an implied bill of rights.

Other important principles include an understanding of the role of humans as components of the ecosystems and the use of adaptive management.

Other guiding principles include the polluter pays principle, the precautionary principle, the principle of sustainable development, environmental procedural rights, common but differentiated responsibilities, intragenerational and intergenerational equity, " common concern of humankind ", and common heritage.

Other principles such as Accountability have sometimes been proposed for addition – it has been pointed out that issues such as Non-Repudiation do not fit well within the three core concepts, and as regulation of computer systems has increased ( particularly amongst the Western nations ) Legality is becoming a key consideration for practical security installations.

Other blotting methods ( i. e., western blot, northern blot, eastern blot, southwestern blot ) that employ similar principles, but using RNA or protein, have later been named in reference to Edwin Southern's name.

Other letters included statements on Bahá ' í beliefs, history, morality, principles, administration and law.

Other sources describes his education in Damascus as having been conducted in accordance with the principles of Hellenic education, termed " secular " by one source and " Classical Christian " by another.

Other criticisms of Struensee are that he did not respect native Danish and Norwegian customs, seeing them as prejudices and wanting to eliminate them in favor of abstract principles.

Other aspects of the Articles provide for rule of law, equality among individuals and protection of civil and creative liberties, which appears to be based on principles found in contemporary Western political theory.

Other OOP principles, inheritance and encapsulation are related both, with methods and attributes.

Other principles, like impartiality, are not explicitly mentioned in the constitution.

* Other principles use magnetic field variation magneto rheological damper which changes its fluid characteristics through an electromagnet.

Other alleged discoveries, such as the construction of early Roman history out of still earlier ballads, have not been equally fortunate ; but if every positive conclusion of Niebuhr's had been refuted, his claim to be considered the first who dealt with the ancient history of Rome in a scientific spirit would remain unimpaired, and the new principles introduced by him into historical research would lose nothing of their importance.

Other libertarians claim libertarian principles such as the non-aggression principle apply to human beings from conception, and that the right to life thus applies to fetuses.

Other problems with the application of the HONcode principles are that HON does not have a means of verifying many of the principles, such as credentials ( medical or otherwise ) as stated on websites displaying the logo, or that copyright or confidentiality is not violated by webmasters.

Other extremal principles of classical mechanics have been formulated, such as Gauss ' principle of least constraint and its corollary, Hertz's principle of least curvature.

Other historians point out Minton's strong commitment to his judicial principles as a valuable attribute.

Other political parties have also promoted social credit principles, including John C. Turmel's Christian Credit Party and Abolitionist Party of Canada, and the short-lived Canada Party.

Other types of servos use hydraulics, pneumatics, or magnetic principles.

Other important principles of the rule of law are the generality and equality of the law, which require that all legal rules apply equally to everybody.

Other fixed wing aircraft configurations may use different control surfaces but the basic principles remain.

Other important principles of Qutbism include: