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...e of multiplier uncertainty, it is no longer redundant to have more policy tools than there are targeted economic variables. (3) [[certainty equivalence pri ...have more policy tools than targets: with multiplier uncertainty, the more tools are available the lower expected loss can be driven. ...

...l such as [[Markov chains]] or differential equations, or be treated using tools that directly work on the rule-set in place of a translated model, as the l ...eerx=10.1.1.323.9577}}</ref> is a suite of software tools used to generate mathematical models consisting of [[ordinary differential equation]]s without generating ...

...Catastrophe modeling]], [[Systematic risk]] or risk aggregation statistics tools are more important. ...

* guaranteed performance even with [[mathematical model|model]] uncertainties, when the model structure does not match perfec ==Tools== ...

...ue to its generic structure can be applied in other platforms and modeling tools for encoding and annotation of diverse models applicable to discrete (e.g. * [[LaTeX]] and [[R (programming language)|R]] code for mathematical functions. ...

...07/1998301 |mr=552263 | year=1980 | journal=[[Transactions of the American Mathematical Society]] | issn=0002-9947 | volume=257 | issue=2 | pages=359–369| jstor=19 ...theorist) |year=2007 |title=Number Theory – Volume II: Analytic and Modern Tools|isbn= 978-0-387-49893-5|publisher=[[Springer-Verlag]]|series=[[Graduate Tex ...

The tools of ridit analysis were developed and first applied by Bross,<ref>Bross, Irw ==A mathematical approach== ...

...wski]], who made comments arguing that it "''does meet the requirements of mathematical esthetics''".<ref>Stevenhagen et al., 1996</ref> | journal=The Mathematical Intelligencer ...

...is known for his work in [[low-dimensional topology]] using computational tools and [[hyperbolic geometry]], being one of the inspirations for [[William Th ==Mathematical work== ...

...he basic notions. In algebraic geometry, the theory is among the essential tools to extract detailed information about the behaviors of [[blowing up|blow-up ...er=[[Cambridge University Press]] | location=Cambridge, UK | series=London Mathematical Society Lecture Note Series | isbn=978-0-521-68860-4 | mr=2266432 | year=20 ...

...some,{{who|date=July 2024}} the theory aims to unify various [[mathematics|mathematical]] subfields, including [[topology]], [[complex geometry]], and [[algebraic ...sed abelian groups is an [[abelian category]], which allows for the use of tools from [[homological algebra]] in the study of those structures. ...

...ions and can easily be identified while requiring no advanced mathematical tools. Moreover, even when a model is already identified, the analysis of the HOS ...

...t be inferred. The measurements that are obtained by means of the analysis tools present the activity level as a sum of the contributions of phenomena due t Several mathematical and statistical tools have been proposed for the characterization of the activity of a dynamic sp ...

In the mathematical [[order theory|study of order]], a '''metric lattice''' {{mvar|L}} is a [[l ...ce.<ref name=FuzzyLogic>Kaburlasos, V. G. (2004). "FINs: Lattice Theoretic Tools for Improving Prediction of Sugar Production From Populations of Measuremen ...

...ters from root system functional and structural traits| journal=Journal of Mathematical Biology| volume=75| issue=5| pages=1133–1170|year = 2017|last1 = Meunier|fi [https://plantmodelling.shinyapps.io/marshal/ MARSHAL] is a set of online tools developed<ref>{{Cite journal | url=https://www.biorxiv.org/content/early/20 ...

...precisely, [[Functional analysis|functional]]s that serve as mathematical tools for studying either [[point process]]es or [[concentration of measure]] pro ...ps from the positive real line to the positive (extended) real line, or in mathematical notation: ...

== Online tools == [[Category:Mathematical optimization]] ...

...field]]s where a more detailed analysis can be carried out with the aid of tools such as [[ramification group]]s. ...Cassels | authorlink=J. W. S. Cassels | title=Local Fields | series=London Mathematical Society Student Texts | volume=3 | publisher=[[Cambridge University Press]] ...

.../file/be83ab3ecd0db773eb2dc1b0a17836a1-Paper-round2.pdf |title = Measuring Mathematical Problem Solving With the MATH Dataset}} ...this experimental set up is to see if the model can correctly decide which tools to use and how without users' directions. ...

.../szabo.pdf] Simulation governance: New technical requirements for software tools in computational solid mechanics International Workshop on Verification and ...ulation models#Verification|verification]] procedures, and (e) revision of mathematical models in the light of new information collected from physical experiments ...