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...linkinghub.elsevier.com/retrieve/pii/S002192581889857X |journal=Journal of Biological Chemistry |language=en |volume=259 |issue=22 |pages=14068–14075 |doi=10.101 == Branch point theorems == ...

...trol analysis in a nutshell |date=2001 |s2cid=17007756 }}</ref> Equivalent theorems have not been found, for example, in electrical or economic systems. ...ne the control coefficients using enzyme concentration, then the summation theorems are written as: ...

* Fieller, EC. (1940) "The biological standardisation of insulin". ''[[Journal of the Royal Statistical Society]] ...t1 = EC | year = 1944 | title = A fundamental formula in the statistics of biological assay, and some applications | journal = Quarterly Journal of Pharmacy and ...

[[Category:Biological theorems]] ...

...7,<ref>BARTLETT, Mi S. On theoretical models for competitive and predatory biological systems. ''Biometrika'', 1957, vol. 44, no 1/2, pp. 27–42.</ref> who later ...

...}</ref> Snell earned his Ph.D. in 1951 ("Applications of Martingale System Theorems"), with Doob as his supervisor. ...They found "the basic ideas of finite mathematics were easier to state and theorems about them considerably easier to prove than their infinite counterparts." ...

[[Category:Biological theorems]] ...

...ic models of evolution that go beyond the classical tree model, to address biological processes such as hybridization, recombination, and [[horizontal gene trans ...d students explored the use of Satisfiability-solvers to efficiently solve biological problems where integer programming was not effective. ...

...bas}} [[Huisken's monotonicity formula]] is covered, as are the regularity theorems of Brakke and White according to which the flow is almost-everywhere smooth ...artial differential equation]]s. Their uses include modeling the growth of biological cells, metallic crystal grains, bubbles in foams,{{r|ni}} and even "the def ...

...man]] ability to see the truth of formal systems' [[Gödel's incompleteness theorems|Gödel sentences]], it is argued that the human mind cannot be computed on a ...we assume that we can replace Lucas' reasoning with a formal system whose theorems can be listed by an algorithm that has a Gödel sentence, but the Penrose-Lu ...

...h;a high concentration of a key chemical at steady state could represent a biological process being "switched on" whereas a low concentration would represent bei ...y of complex isothermal reactors—I. The deficiency zero and deficiency one theorems. Chemical Engineering Science. 1987 31, 42(10), 2229-2268.</ref> and the ' ...

...here was some x such that x was a ψ" or <math>(\exists x) (\psi x)</math>. Theorems 8 to 10 showed that neural nets with loops can encode all [[First-order log ...], who in 1941 published an abstract model of the steady-state activity of biological neural networks. The model, in modern language, is an artificial neural net ...

...l revisit certain fundamental genetic terminology. The motivation for the theorems presented in this article, is that they concur with the Nussinov - Jacobson ...wever, pairing of mismatching bases does occur at times due to [[Mutations|biological mutations]]. ...

...first2=C. | last3=Frosini | first3=P. | last4=Ferri | first4=M. | journal=Biological Cybernetics | volume=70 | issue=2 | pages=99–107 | s2cid=39065932 }}</ref> Each of these two theorems allows us to uniquely represent the persistent homology of a filtered simpl ...

==Biological examples== .... M. | last2 = Zweifel | first2 = P. F. | title = Existence and Uniqueness Theorems for the Neutron Transport Equation | journal = Journal of Mathematical Phys ...

...eness quantification|uniqueness]] and [[approximation theory|approximation theorems]] for the various problems he studied, and also a high consideration of the ...dels]] where an existence '''and''' [[uniqueness quantification|uniqueness theorems]] can be proved in such a way that the proof does not rely on an implicit c ...

...h>(V, \| \cdot \|_V )</math> using the [[Sobolev space|Sobolev]] embedding theorems so that each element <math>v_i \in H_0^3, i=1,2,3,</math> has 3-square-inte ...tle=Amygdala Volume Analysis in Female Twins with Major Depression|journal=Biological Psychiatry|volume=62|issue=5|pages=415–422|doi=10.1016/j.biopsych.2006.11.0 ...

;[[Isomorphism theorems]] ...other [[algebraic structure]]s. In [[universal algebra]], the isomorphism theorems can be generalized to the context of algebras and congruences. ...

...dioxide]] in the [[Atmosphere of Mars|Martian atmosphere]], a discovery of biological significance because it is a principal [[gas]] in the process of [[photosyn ==== Biological nitrogen fixation (1885) ==== ...

...AND experiments.<ref>{{Cite book|title=Hands: a pattern theoretic study of biological shapes|url=https://books.google.com/books?id=zelRAAAAMAAJ|publisher=Springe ...th>(V, \|\cdot \|_V )</math> using the [[Sobolev space|Sobolev]] embedding theorems so that each element <math>v_i \in H_0^3, i=1,2,3,</math> has 3-times squar ...