1. What’s so funny ‘bout applied mathematics? Modelling, theory, and methods

Author(s):  
Alain Goriely

What is applied mathematics and how is it different from mathematics or any other scientific discipline? ‘What’s so funny ‘bout applied mathematics? Modelling, theory, and methods’ argues that applied mathematics includes the modelling of natural phenomena and human endeavours, the study of mathematical ideas originating from these models, and the systematic development of theoretical and computational tools to probe models, handle data, and gain insight into any problem that has been properly quantified. Applied mathematics is best characterized by three intertwined areas: modelling, theory, and methods. Any work in applied mathematics fits in one of these three categories or combines them judiciously.

CrystEngComm ◽  
2021 ◽  
Author(s):  
Mainak Karmakar ◽  
Antonio Frontera ◽  
Shouvik Chattopadhyay

The formation of an infinite 1D assembly is governed by the H-bonding interactions in the solid state structure of the two zinc complexes. It has been analyzed energetically using DFT calculations and several computational tools.


2001 ◽  
Author(s):  
Manjunath Pappur ◽  
M. M. Khonsari

Abstract This paper deals with a systematic development of theory of powder lubrication with the appropriate formalism based on the fundamentals of fluid mechanics. The theory is capable of predicting flow velocity, fluctuation (pseudo-temperature), powder volume fraction, and slip velocity at the boundaries. An extensive set of parametric simulations covering particle size, surface roughness, volumetric flow, load and speed are performed to gain insight into the performance of a powder lubricated thrust bearing. The results of simulations are compared to the published experimental results. Good agreement between the theory and experiment attests to the capability of the model and its potential for design of powder lubricated bearings.


2015 ◽  
Vol 69 (1-2) ◽  
pp. 101-110
Author(s):  
Nikola Krstic ◽  
Mirjana Lazarevic-Macanovic ◽  
Branislava Mitrovic ◽  
Marko Mitrovic

Dental diseases in dogs and cats are of increasing importance in veterinary practice. If not diagnosed and treated on time, they can significantly affect the quality of life and pet health as well. Roentgenography of orofacial system, as a part of veterinary dentistry, is an important diagnostic tool that provides insight into diseases and irregularities of the teeth, shows macrostructure of bone parts, and also may indicate the etiology and genesis of various pathological conditions of the teeth. The objective of this paper is to point out to most common pathologies which small animal veterinary dentistry daily meets, as well as to foster the systematic development in this area in order to find more quality to both diagnostic and therapeutic procedures.


Author(s):  
Alain Goriely

Models are central to the world of applied mathematics. In its simplest sense, a model is an abstract representation of a system developed in order to answer specific questions or gain insight into a phenomenon. In general, we expect a model to be based on sound principles, to be mathematically consistent, and to have some predictive or insight value. Models are the ultimate form of quantification since all variables and parameters that appear must be properly defined and quantified for the equations to make sense. ‘Do you believe in models? Simplicity and complexity’ discusses the complexity of models; the steps involved in developing mathematical models—the physics paradigm; and collaborative mathematical modelling.


Synthese ◽  
2020 ◽  
Author(s):  
Philipp Klar

Abstract Neurophilosophy is a controversial scientific discipline lacking a broadly accepted definition and especially a well-elaborated methodology. Views about what neurophilosophy entails and how it can combine neuroscience with philosophy, as in their branches (e.g. metaphysics, epistemology, ethics) and methodologies, diverge widely. This article, first of all, presents a brief insight into the naturalization of philosophy regarding neurophilosophy and three resulting distinguishable forms of how neuroscience and philosophy may or may not be connected in part 1, namely reductive neurophilosophy, the parallelism between neuroscience and philosophy which keeps both disciplines rather strictly separated and lastly, non-reductive neurophilosophy which aims for a bidirectional connection of both disciplines. Part 2 presents a paradigmatic example of how these three forms of neuroscience and philosophy approach the problem of self, mainly concerning its ontological status (existence and reality). This allows me to compare all three neurophilosophical approaches with each other and to highlight the benefits of a non-reductive form of neurophilosophy. I conclude that especially non-reductive neurophilosophy can give full justice to the complementary position of neurophilosophy right at the intersection between neuroscience, philosophy, and psychology.


2020 ◽  
Vol 8 (5) ◽  
pp. 723
Author(s):  
Guillermo Blanco ◽  
Lorena Ruiz ◽  
Hector Tamés ◽  
Patricia Ruas-Madiedo ◽  
Florentino Fdez-Riverola ◽  
...  

Bifidobacteria are among the most abundant microorganisms inhabiting the intestine of humans and many animals. Within the genus Bifidobacterium, several beneficial effects have been attributed to strains belonging to the subspecies Bifidobacterium longum subsp. longum and Bifidobacterium longum subsp. infantis, which are often found in infants and adults. The increasing numbers of sequenced genomes belonging to these two subspecies, and the availability of novel computational tools focused on predicting glycolytic abilities, with the aim of understanding the capabilities of degrading specific carbohydrates, allowed us to depict the potential glycoside hydrolases (GH) of these bacteria, with a focus on those GH profiles that differ in the two subspecies. We performed an in silico examination of 188 sequenced B. longum genomes and depicted the commonly present and strain-specific GHs and GH families among representatives of this species. Additionally, GH profiling, genome-based and 16S rRNA-based clustering analyses showed that the subspecies assignment of some strains does not properly match with their genetic background. Furthermore, the analysis of the potential GH component allowed the distinction of clear GH patterns. Some of the GH activities, and their link with the two subspecies under study, are further discussed. Overall, our in silico analysis poses some questions about the suitability of considering the GH activities of B. longum subsp. longum and B. longum subsp. infantis to gain insight into the characterization and classification of these two subspecies with probiotic interest.


2011 ◽  
Vol 92 (5) ◽  
pp. 583-592 ◽  
Author(s):  
Matthew D. Therrell ◽  
Makayla J. Trotter

Pictographic calendars called waniyetu wówapi or “winter counts” kept by several Great Plains Indian cultures (principally the Sioux or Lakota) preserve a record of events important to these peoples from roughly the seventeenth through the nineteenth centuries. A number of these memorable events include natural phenomena, such as meteor storms, eclipses, and unusual weather and climate. Examination of a selection of the available winter count records and related interpretive writings indicates that the Lakota and other native plains cultures recorded many instances of unusual weather or climate and associated impacts. An analysis of the winter count records in conjunction with observational and proxy climate records and other historical documentation suggests that the winter counts preserve a unique record of some of the most unusual and severe climate events of the early American period and provide valuable insight into the impacts upon people and their perceptions of such events in the ethnographically important region of the Great Plains.


2020 ◽  
Vol 13 ◽  
pp. 72-82
Author(s):  
Stephen Perry ◽  

When we mathematically model natural phenomena, there is an assumption concerning how the mathematics relates to the actual phenomenon in question. This assumption is that mathematics represents the world by “mapping on” to it. I argue that this assumption of mapping, or correspondence between mathematics and natural phenomena, breaks down when we ignore the fine grain of our physical concepts. I show that this is a source of trouble for the mapping account of applied mathematics, using the case of Prandtl’s Boundary Layer solution to the Navier-Stokes equations.


2010 ◽  
Vol 663 ◽  
pp. 1-1
Author(s):  
Grae Worster

The tenth anniversaries of the deaths of George Batchelor and David Crighton occurred, respectively, in March and April this year. In commemoration and celebration of their lives and works, an afternoon of talks was held in the Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge on 19 April 2010. Three of those talks are summarised here: Keith Moffatt and Shon Ffowcs-Williams give impressions of the lives and spirits of these two prominent figures in the history of Jfm – George its founder and David its Editor from 1996, having been an associate editor since 1979; John Hinch gives insight into MicroHydrodynamics, a term coined by George to describe the research area that dominated the second half of his career.


Museum Worlds ◽  
2016 ◽  
Vol 4 (1) ◽  
pp. 95-110
Author(s):  
April M. Beisaw ◽  
Penelope H. Duus

ABSTRACTAt the turn of the twentieth century, American museums helped to legitimize archaeology as a scientific discipline. By the next century, repatriation legislation had forced archaeologists to confront the dehumanization that can take place when bodies and sacred objects are treated as scientific specimens. Charting the future(s) of archaeology-museum relationships requires us to (1) recognize where, when, and how harm has been done, (2) confront those harmful precedents, and (3) restructure collections and exhibits in ways that heal wounds and advance research. Current research on the 1916 Susquehanna River Expedition, an archaeology-museum project funded by George Gustav Heye, provides insight into how our predecessors viewed their work. Using the expedition project as backdrop, an archaeology professor and an undergraduate student engage in a dialogue that explores the changing roles of American museums as the public faces of archaeology, training grounds for young professionals, and cultural centers for us all.


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