Science topics: Mathematics
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Mathematics - Science topic

Mathematics, Pure and Applied Math
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I am working on parental beliefs about mathematics and it teaching and learning and want to investigate, in which ways parents support their children with their mathematics education. Therein I am focusing on early secondary school (11-12 year old students). 
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I am writing a paper assessing unidimensionality of multiple-choice mathematics test items. The scoring of the test was based on right or wrong answers which imply that the set of data are in nominal scale. Some earlier research studies that have consulted used exploratory factor analysis, but with the little experience in data management, I think factor analysis may not work. This unidimensionality is one of the assumptions of dichotomously scored items in IRT. Please sirs/mas, I need professional guidance, if possible the software and the manual.
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As applied to physics, the source is a mathematically described process and the target is one without a mathematically described process or without a mathematically described process known to the student. Analogy can suggest a mathematical model to a researcher. Analogy assists the student by demonstrating that knowledge already acquired can help in understanding a new subject. Thus analogy can be an investigative tool and a pedagogical tool. John Holland in his book on Emergence from Chaos to Order attributes the source-target characterization to Maxwell (p. 210) but I have not been able thus far to locate Maxwell’s employment of that characterization. Maxwell spoke about analogy as a useful pedagogical tool in an 1870 address to the Mathematical and Physical Sections of the British Association included in his collective works, volume 2, page 215. At page 219: Analogy `is not only convenient for teaching science in a pleasant and easy manner, but the recognition of the formal analogy between the two systems of ideas leads to a knowledge of both, more profound than could be obtained by studying each system separately.’
Do you know the origin of the source-target analogy?
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Dear researchers,
Regarding assumptions of linear regression, can I replace scatter plots with mathematical equations in my article and claim that there is a linear relationship between two variables on the basis of equations. I want to conserve space in my article without presenting scatter plots. Please advise. Thank you.
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I'm not sure why there's any discussion here. The equation of a straight line is y = mx + c. This is an inviolate mathematical formula. The equation itself justifies nothing - it's perfect. Data sets are fitted with an appropriate model which in the case of a linear fit is usually a least squares procedure. The equation itself tells you nothing about the data going into that best fitting procedure. The 'goodness' of the model is assessed by deviations from that model. Here correlation coefficients (e.g. R2) can be employed. So, the equation on its own tells you nothing about whether that model is appropriate or not. How close theory and practice are, however, tells you something about the appropriateness of the model. Be careful with 2 things:
  • Inappropriate correlations. This is where an understanding of the basis of the model is so important. I've shown a couple above
  • Over-complicating the situation. n points on a p;lot can be fitted perfectly by an equation of (n - 1)th degree. This definitely does not mean that the more complicated model explains more. On the contrary, it's basically an empirical fitting...
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The new Education Act (LOMLOE) that is now being prepared in Spain intends to make Mathematics an optional subject. The Mathematics Institute has issued a manifest that argues about the importance of Mathematics in society, and in favour of keeping Mathematics as a compulsory subject in high school. If you agree with this, please sign the manifest at the link below (the manifest is in Spanish; I don't remember if there is an English version):
There is also a petition at change.org:
Thank you very much in advance.
Hebert
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Excelente tarea Hebert, ojalá tengan suerte en su empeño y no terminen como Argentina donde los ingresantes a la Universidad (en Física e Ingeniería, por ejemplo) no saben sumar fracciones.
Un abrazo, Nápoles
Excellent task Hebert, I hope you are lucky in your endeavor and do not end up as Argentina where the entrants to the University (in Physics and Engineering, for example) do not know how to add fractions.
A hug, Juan
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I want to construct a model for the world COVID-19 data
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I think, systems dynamics and regression models.
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Review Article in spoecific, Research area Potential Theory
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I don’t think Scopus advertises the magazines in its database. I have another question Is the list of journals covering the math direction to the scopus database for 2020 approved?
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As a founder of making dialectical logic mathematically, author has constructed a mathematical expression for dialectical logic, and proofed the formal logic is only a special case in dialectical logic, see preprint titiled "mathematical foundation for dialectical logic" in my profile, then do you admit author's viewpoints in this field?
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yes
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I am currently for maths project creating a card game that focusses to improve subitizing for students' age between 6-9 years old. I now want to create the 'best' colors for the game but I am looking for research that shows the effect of colors toward children.
If you could help me or link me to research I'd highly appreciate it.
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Bright light colors give a positive effect, unlike dark colors, give a negative effect
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PhotoMath is a new application for solving math problems by capturing their images. Do you think it will be also useful for solving math proofs? What do you think?
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Victor Christianto , Nice Topic.
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Generally QSR is considered as the parameter for location based service. End-to-end delay, number of hops etc. are the parameters for routing. Why combination of routing and location service enhances the performances of the parameters?
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Following.
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a transport model (e.g logit model or ...) is based on statistical data and field works or merely based on mathematical theories or both of them?
If I want to define a model ( e.g. a new model in freight transportation ), what actions should I do? what kinds of data should I gather?
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Obviously you need to define in detail which parts of the enormous system, that we may call "the logistics network." What do you want to capture with your model?
Also: before you start something new, do you know what parts of this enormous system you would like to provide a model for? You will definitely need to scale down from the global chains of transport and logistics - so what parts are you interested in? What is the purpose of this exercise? Could you, for example, start by reading the recent years of logistics networks papers, so that you can see what the models need, in terms of data, for example? Do you want to collaborate with a logistics partner, in order to obtain real data?
There are lots of questions to be answered, as what model you end up with will determine what questions will be possible to answer. This is not a five-minute exercise, but a PhD project, perhaps with actual partners from logistics.
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I am trying to justify the use of AT instead of UTAUT for my paper on teacher challenges faced when using technology to teach mathematics...
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Nice Topic , Following
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While many modern causal models do not seem to adhere to Laplace's demon (strict determinism) which treated error factors as merely unknown causes, they do not also always address the issue of freedom and responsibility sufficiently. While it is acknowledged that the human element (as far as intervention) is concerned might involve an exogenous factor (perhaps, "transcendent cause" in neoplatonic terms), posing problem to the equilibrium of an otherwise deterministic system, the models themselves might seem relevant for systems that are independent of human intervention, e.g. artificial intelligence. But, that evokes ethical questions, especially regarding whether formalism of such models can totally ignore the question of responsibility or should they really be resolving them. In more practical terms, can such a machine be constructed based on a causal model that can correctly predict and make right moral decisions for humans?
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Mathematical models will never simulate human behavior precisely.
Different models show different results. So, if some model provides some precise conclusions about some community, it is not necessarily the same for the others.
People's insights, morals, freedom, and responsibility are very complicated to be captured and recorded in exact equations or tables. Some approximated partial results are accepted for making decisions about some phenomenon.
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To me it is mostly a story.
There is, at the outset, a puzzle about some natural phenomena, perhaps encountered by inadvertence.
Then some other process exhibits a similar pattern. The question becomes is there some reason, perhaps based on the thermodynamics of the two systems, that connects them?
This takes the curious inquirer into a conceptual forest, or overgrown garden, path obscured, looking for a common principle. When a principle is discerned, there are more questions.
Does the pattern appear elsewhere?
Is there a more fundamental principle underlying the first principle discerned?
Does a principle, even more fundamental, connect all the different phenomena sharing a kind of pattern? Does the same pattern appear but in subtle ways in other phenomena?
Can the phenomena be modeled? What assumptions are extraneous to arriving a model in common? What is the set of minimal assumptions?
Many more paths and tangles appear.
Can the winding path so obscure at the outset be reduced to a set of logical statements that resemble in their appearance mathematical deduction? Never finally, but at least provisionally?
But first, there is a story.
How do you regard physics?
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Robert Shour,
No truer words were ever spoken. I am somewhat reminded me of the "Two Cultures of Mathematics" discussions that went on in the wee hours between mathematics graduate students. That is the "problem solvers" vs. the "theory builders." Some subjects lend themselves to problem solvers, say analytic number theory which requires everything including the kitchen sink to be thrown at it and on the other hand algebraic number theory which has volumes theory laid as foundations. Paul Endros was maybe the King of the Problem Solvers and Michael Atiyah the King of the Theory Builders.
Of course most mathematicians are somewhere between and broad theories all start out addressing a problem - often with long historical roots. Which category a mathematician falls in is more a matter of temperament and personality than a choice and most mathematicians most likely move between the two. There are those that focus on a problem and during that focus understand what assumptions can be loosen so that the solution is not just of a specific problem but a theory for a much larger category of problems.
Often times one sets out to develop a theory - hoping to apply it to a larger category of problems just to find the assumptions required in the theory are not satisfied by the candidate problems one is trying to address. This happened in the 1960's in what was termed global analysis where problems in the calculus of variations were to be viewed as critical points of functions on infinite dimensional manifolds - with a broad robust calculus developed to apply to this critical point theory similar to Morse theory for function on finite dimensional space to variational prolems. Smale's condition C, now know as the Palais- Smale compactness condition was required for the functional calculus. After this beautiful theory was developed, it turns out that most of the classic problems in calculus of variations do not satisfy condition C. The utility envisioned for this theory - did not fully materialize.
While those that focus on expanding the tools of theoretical physics often find that they make progress by starting with examples (specific problems) and exploring the commonality. For me the solution of the problem (or a category of similar problems) is the key and I lose interest in working to expand the conditions under which the results still hold. As Gauss says once a problem has been wrestled to the ground and tamed, time to move on the the next challenge. But as you say that is a matter of temperament.
As far the theoretical physicists it is often - their vision needs quite a bit of help wrapping mathematical rigor around it. For example without Maurice Grossman, Einstein would not have able to present his theory of general relativity in a coherent and simple mathematical way. Without Roger Penrose, Steven Hawkins would have suffered in his understanding and explaining of black holes, singularities, big bang, etc., in a robust way. In fact on Hawkins' thesis defense, Penrose noted Hawkins' sloppy mathematics. After that the two started working together. It took Stone and von Neumann and later Segal and Bargmann to put quantum mechanics and quantum field theory as envisioned by Dirac, Pauli, Feynman, etc. on a firm robust mathematical footing that it enjoys today. So in reality I think theoretical physicists are more of the story tellers who often depend on others to fill in the details to make the story meaningful and to be able to stand up to experimental validation/falsification.
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In the litterature about quantization schemes, people tend to use Weyl ordering a lot.
Altough it enjoys some desirable properties like sending real functions into self-adjoint operators or sending Schwarz functions into trace class operators, we know that these features are not unique of Weyl ordering.
Is there any deep reason (being mathematical of physical) to prefer Weyl ordered quantizers?
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From a physical point of view, Weyl ordering provides a consistent procedure for quantizing polynomial Hamiltonians, but of course this is not enough to be preferred as a quantization method. From a mathematical point of view, its importance lies in the subsequent developments of Weyl's idea by Wigner and Moyal which, ultimately, led to the idea of star products and deformation quantization. It was proved by Kontsevich in the late 90s (in a work that gave him the Fields medal) that any Poisson manifold can be quantized following these ideas. You can see a somewhat cursory description of this line of reasoning in the introduction to a paper of mine: https://arxiv.org/pdf/1110.5700.pdf
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Hi,
I'm attempting to create nonlinear metamaterial structures in comsol and I don't know how to measure second harmonic generation.
How do I measure that frequency x goes into structure and generates frequency 2x ?
Thanks for any help.
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Does this work?
One fundamental problem I am facing how to see the frequency components (in ewfd physics, frequency-domain study) in COMSOL other than the excited one( mean by the mode at other frequencies).
A very simple experiment if I take one 500nm width by 30 nm height Si waveguide (2d simulation), and excite it with 193.42 THz at port 1 end, now if I want to see the frequency components at 300 or 200 THz it should appear null or no field components. But how to observe it in COMSOL (the modes or the field components can be seen at 193.42 THz since it's the excited one).
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Why many scientists use the term mathematical model ?
If you have a certain phenomenon and you want to model it, you will describe its, more or less, approximate behaviour by applying to it laws which can be physical, chemical, economical, geometrical and so on, depending on the phenomenon.
Mathematics is only a tool to describe these laws, so you should speak of physical, chemical, economical, geometrical  ... models and not of mathematical ones.
Most of the models I encounter in my research are physical models because, to build them up, the laws of physics are used.
Each time I hear the term mathematical model, my nose gets wrinkled.
What is your opinion ?
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I agree with Abdulrahman Dahash
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What is the mathematics behind r.viewshed module in GRASS GIS
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Dear Mr.Thaisa Jawhly
I sent you a guide that can help you, also this software is open as Mr Som Pal Singh said.
Good luck.
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I want to conduct a qualitative research about math teaching and learning at pandemic Covid-19 in several specific area in my country. But i don't have any idea to start because i'm not good in qualitative research. It's kindly opened for join research.
Saya ingin melakukan penelitian kualitatif ttg KBM Matematika selama wabah Covid-19 di beberapa daerah di Indonesia. Tapi saya bingung dalam merancangnya krn minim pengalaman dalam penelitian kualitatif. Sangat terbuka untuk penelitian bersama.
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Hi
Please check the following work. It describes the process in details. I believe it will help you.
Regards
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Dear sir/madam!
I'm a final semester student in BS Mathematics and my research interest is in Mathematical Biology. Would you like to provide me the best SEIQR ODEs model for stability and optimal control? I want to do stability and optimal control for our province's real data. So, please recommend the paper.
Thank you so much.
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Is there any alternative topic/theory/mathematical foundation to compressed sensing (CS) theory?
successive to Nyquist Criterion is CS theory, is there any theory that surpasses the CS theory ?
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Dear Vishwaraj B Manur,
First of all, we should separate the concept of Sampling against the concept of Sensing. These two are not interchangeable!
1. Compressed Sensing theory states that it could recover a set of coefficients (which represents in a specific transform domain the useful information from the analyzed signal) from less samples than Nyquist sampling criteria in order to be able to reconstruct a signal (of course as it could be reconstructed from uniform samples by classical Shannon theory).
2. Compressive Sampling theory states that a signal can be sampled by a protocol (non-uniform sampling, random sampling, modulation and sampling, etc.) which will allow later to be reconstructed by means of a Compressed Sensing algorithm which knows about the used sampling protocol.
3. There are at least 4 sampling ways (according to Figure 2 from https://core.ac.uk/download/pdf/34645298.pdf ) to acquire the information from a signal. Take into account that practical CS is a lossy compression, and this is due to the non-ideal process which happens when the sampling process take place.
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What does it actually mean to exist? How is it different from non-existence? How can we be sure if something exists or does not exist? I have made a case that these questions are more fundamental than the usually dubbed first question "Why is there something rather than nothing"? Here is a ready link for which I would appreciate your comments.
Please do feel free to share the link with your colleagues and friends who you think might be interested in this topic.
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to have actual being; be:The world exists, whether you like it or not.
to have life or animation; live.
to continue to be or live:Belief in magic still exists.
to have being in a specified place or under certain conditions; be found; occur:Hunger exists in many parts of the world.
to achieve the basic needs of existence, as food and shelter:He's not living, he's merely existing. Dictionary.com
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I want to create an animation to insert it in my math presentation (e.g. a ball hitting the wall, deforming and bouncing back: just an example). Is there any free and easy to use software (preferably, for Mac OS X) to do that?
Which one is the best? I know how to create some animations in Matlab and Mathematica, but this is different: I don't want to code the whole scene as functions.
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Manim by Grant Sanderson is the best one out there at the moment.
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I wish to shift multiple lines or curves (up to 25 lines/curves) so that they are superimposed on one another. This is to enable me see clearly the points or regions where any one of the curves deviate from the others. In this procedure I also want to be able to vary or determine the region or range of superimposition or overlay of the curves. What mathematical function or formulae can enable me do that?
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The answer to this question can be given in different ways. Suppose the function is a linear function or a quadratic function?
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I couldn't see any options to show complete axes of 3D plot in MATLAB software ?
There is option to tick Box. But it doesn't covers top axes in
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the best answer is set(gca,'box','on') but in this situation the you add axis. if you want to change the thickness of axis, therefore
set(gca,'linewidth', 2) 2 can be change to an arbitrary thickness
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Its a book related to biostatistics.
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Hi everyone,
I currently use MCS method to analyze effect of some uncertain parameters on electrical power system and run 10,000 simulations to calculate the output which approximately takes around 1 hour.
I recently read some methods which can reduce the MCS scenarios thus, resulting in low computational time.
So, can our fellow researchers elaborate more on this topic or suggest me any other techniques which has the potential to significantly reduce the computational time of MCS (say around 5 minutes for my work) with reasonable accuracy?
Cheers
Sam
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It depends on what is your application of Monte Carlo simulation. You could have different computational time reduction strategy. But generally speaking, to have a good sampling technique will make your Monte Carlo simulation much easier and more efficient. I would suggest the Latin hypercube sampling (LHS) sampling technique, which I used quite often. It will make the distribution of your samples very close to the expected distribution with small number of sample generation.
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The Riemann zeta function or Euler–Riemann zeta hypothesis is the more challenging and unsolved problem in mathematics. What's the applications in physics and science engineering ? Some research advances to solve it ?
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By trying to answer your question I found the following reference with many examples on how the zeta functions (the reference doesn´t call it Riemann z functions) are all related in a natural way to eigenvalues of specific boundary value problems.
In statistical physics Z Riemann function is found in:
  1. Deriving the Stefan–Boltzmann law from Planck's law is a very simple application in Black body radiation. (see the reference below, the same chapter, pp 186)
  2. Sommerfeld expansion to calculate the thermodynamical properties of normal metals. The entropy, energy & specific heat for a degenerate electron gas. Please, for details of the calculation check: L. Landau and E. Lifshitz, Vol. 6, Statistical Physics, Pergamon 1980, Part I, chapter VI---Solids, #67 pp. 168-171.
  3. Bose-Einstein condesante calculations (transition temperature and so on) pp. 180-181 of the same reference. All thermodymical properties of bose gases.
  4. Many other applications, see fox example any classical text on math methods for phys.
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Can someone explain and give me a precise mathematical definition of what "variance" means in terms of principal component analysis (PCA)?
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I suggest you check the following link. Hope it may be helpful. https://stats.stackexchange.com/questions/22569/pca-and-proportion-of-variance-explained
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I have been looking at different types of inductive teaching for mathematics. These include inquiry-based, discovery, problem-based, project-based, case-based, just-in-time, and a hybrid of project and problem-based.
Is there an inductive teaching approach or curriculum that uses everyday topics and students learn the mathematics needed to understand different pieces of it? For example, a class is discussing gardening. So the students learn how to calculate area of their garden. Then they look at mixture problems (fertilizer and soil). Then they see how Fibonacci plays into petals and seed patterns.
It doesn't quite fit one of the inductive teachings exactly. I think it is a combination of several.
Who has done research on this? Who/what should I be looking for?
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Views differed on induction, so there are those who place it within the direct approach, and there are those who place it within the types of discovery, according to the role of both the teacher and the learner. For you, you can look for a discovery-based induction or a combination of several types of discovery.
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I need a book, chapter or something like that which discusses PV inverters.
It explains Mathematical relationships and finally Simulates it.
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Dear Soroush,
Refer the following link and files that helpful for you about PV systems using PSCAD.
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Call for Papers & Submissions
The 9th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2020) will be held on August 25-28, 2020 in Skopje, North Macedonia. IECMSA-2020 will be organized in cooperation with International Balkan University.
The annual International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) series aim to promote, encourage, and bring together researchers in the different fields of Mathematics by providing a forum for the academic exchange of ideas and recent research works, The previous conferences were held as follows: IECMSA-2012, Prishtine, Kosovo, IECMSA-2013, Sarajevo, Bosnia and Herzegovina, IECMSA-2014, Vienna, Austria, IECMSA-2015, Athens, Greece, IECMSA-2016, Belgrade, Serbia, IECMSA-2017, Budapest, Hungary, IECMSA-2018, Kyiv, Ukraine, and IECMSA-2019, Baku, Azerbaijan.
Website: www.iecmsa.org
IMPORTANT DATES
Deadline for Early Registration: May 22, 2020
Deadline for Hotel Reservation: May 22, 2020
Deadline for Registration: July 17, 2020
Deadline for Abstract Submission: July 17, 2020
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I wish success to your conference
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How can I get an endorsement for my mathematical archive in the arXiv website?
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how can i contact sir wayne w. Welch? I want to ask permission if i can use and guide how to use the Mathematics attitude inventory?
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https://eric.ed.gov/?id=EJ218497 this link will be useful
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Hello,
I'm currently working on a Structural Health monitoring approach for the foundations of an offshore wind turbine based on its resonance frequencies. On the basis of a large dataset that recovers measurements of several independent variables , I have already established a linear model in order to predict the target (here, the resonance frequency). I performed a Dominance analysis, Regressions, Features selection etc., in order to evaluate which features influences my target the most. However, I would like to improve the accuracy of my linear model by adding more features to my dataset (and then select the best features to build the most suitable model.), i.e. identify underlying mathematical expression (non-linear) between the independent variables and the target. I already performed Genetic Programming (GP) with symbolic regression (SymbolicRegressor) but didn't get consistent results. Is there a method by which I could get these underlying (non-linear) mathematical relationships ?
Thanks a lot,
Lolo_jr
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Dear ResaerchGate Members,
I would like to check the observability and controlability of a system that has 200 states. When I use the conventional method ofobservability based rank, the Matrix of A^(n-1) (A^199 , where A has 200x200 arrays) will have the array of infinity.
I would be thankful to have your recommendations?
Best regards, Reza
#Observability ; #Controlability ; #Control
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Dear all,
thank you very much for your answers and help.
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My institution(where I work), Accra Institute of Technology(AIT) is switching to Open-Book Exams Questions for our mid-sem exams. A little challenge is with the applied mathematics courses and how the students will submit their responses in MS Word format. Hence this inquiry. Attached is a sample question.
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I would suggest to your administration that this is a poor idea for mathematical and chemical courses at least. In these one size does not fit all.
Best, D. Booth
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Movement in musical scores does not have an equation of motion or a calculus of variations.
Is there any other kind of harmonic motion that does not obey Newtonian law?
Of course, frequency is velocity-like but I do not see this in the literature.
I understand that the force field may be uniform so dF = 0, but is it not true there must be a force if movement occurs.
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Mechanics. Newton's first axiom says that, in the absence of an external force, a body either is at rest or moves with constant velocity. In fact, this is a statement opposing Aristotle's view that a force is needed to keep a body in motion at any non-zero velocity.
Other than that trivial movment in the absence of a force, one might argue that quantum mechanical zero-point motion is movement without a force.
So there are several places outside music where movement appears without a force. In fact, I doubt the applicability of the same notion of movement as in physics to the "flow of notes". Movement in music is a different concept from that of movement in physics. The same word has different connotations in different fields. I believe, it would be easy to argue that with a similar change of meaning to the word force, you would find that the "flow of notes" does not happen without a force.
There is a tendency of confusing and therefore (often unintentionally) abusing notions having the same name but meaning different things in different contexts. For example, when people speak about energy they gain by meditation, this has nothing to do with an energy that might be describable by a hamiltonian or be subjected to energy conservation.
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It is the requirement of one project of location of the dams and rivers in the country.
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Mathematical modeling and regionalization of the construction of dams . I do not see a direct connection. take into account the peculiarities of hydrogeological and environmental features in the riverbed another question Akrom
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It is required in the designing of instrument.
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Quoting
" A CT scan takes pictures of the inside of the body using x-rays taken from many angles. A computer combines these pictures into a detailed, 3-dimensional image. This image will show abnormal areas and any tumors."
See the details and visit
Computed Tomography (CT) Scan | Cancer.Net
www.cancer.net › diagnosing-cancer › tests-and-procedures › comput..
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basically scholar is having maths and statistics background but he is doing research in fluid mechanics. he is interested but difficulty is finding problem and doing paper publications.
so we need some suggestions. how to develop knowledge on this research area being a mathematics scholar.
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Hello, you see, it depends on your goal. You have to plan. How do you plan? You plan by looking into the time frame of your goal. If you are doing your dissertation (PhD. or Masters) no time to start reading from scratch, you would not just meet the deadline. In that case you just need to do extensive literature review using reputable papers like ieee or science direct etc, note some points and go to the work you have interest that you can handle and finish your work first. Publishing and growing do not always come by hard work mainly, it comes by planing by being smart in the right way. If you are on your post doc in some school in China where they pay you, you are to return the money back if you don't finish within the time frame. In most cases doing extensive literature review should be the first things not studying deeply chemistry or physics first....just like Isaac Lare Animasaun said. When there is time and you want to go deep then, after finishing your goal then, you can start study chemistry or physics deeply if it will make you grow. It's just more or less like your life academic management. Have academic plan for a year, two, or even 5 or next ten years. Do what will add to you.
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when using this [peaksnr,snr]=psnr(watermarked_rgb,host); value is 44.13 and 38.39 but when using MSE=mse(watermarked_rgb,host); value is 0.2456,0.2146 and 0.2691 respectively. If you use the mathematical equation PSNR = 10log10(255*255/MSE) values came 54.So which one is correct.
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Dear Sanjay Kumar,
Convert the original and enhanced images to HSV color space first, and then, use MSE & PSNR to the V-component only.
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I am looking for simple text book references to understand the mathematics used by Ashtekar in papers like Asymptotic with positive cosmological constant. I understands GTR so far as Einstein equation and its solution like Schwartzchild solution, kerr etc. There is a great bandgap in mathematics used by these two scenarios.
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I advise you the following papers
Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant
Helmut FriedrichJournal:Journal of Geometry and PhysicsYear:1986
Asymptotics of Solutions of the Einstein Equations with Positive Cosmological Constant
Alan D. RendallJournal:Annales Henri PoincaréYear:2004
and the books
The Role of Neutrinos, Strings, Gravity, and Variable Cosmological Constant in Particle Physics
KluwerKursunoglu B., et al. (eds.)Year:2002
Theory of the cosmological constant
Coleman.Categories:Physics\\Astronomy: AstrophysicsYear:1988
Good Luck
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Study the history of mathematics. Likely, it will start at Mesopotamia 3000 BC. Now, it is undisputed H. sapiens trace back to Africa, perhaps earlier than 200 millennia ago. So, didn’t the early humans think about themselves and the environment around them? Of course they did. And they used tools of mathematics. Nearly 60 years ago, that mathematics was discovered in Ishango, the border between Uganda and the DRC. So, why does mathematics ignore Ishango?
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The most interesting, of a large number of tools discovered in 1960 at Ishango, is a bone tool handle called the Ishango Bone (now located on the 19th floor of the Royal Institute for Natural Sciences of Belgium in Brussels, and can only be seen on special demand)
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Would you like to read (look through) this book?
By the way, book publishing shy away from such a proposal, so along the way I wanted to ask our community for advice.
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Jack Sarfatti, Everything is wonderful, but I do not perceive it well by ear. Could you write a few words about what is relevant now that excites you and prevents you from thinking about the philosophical question of the origin of nature (the nature of things)?
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List of journals pure and applied mathematics
Impact factor in Scopus or Thomson. Only journals requesting author reviewers
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You want to know the journals that one can talk to regarding which referee will be selected?
Normally that is never a concern for the scientist, as the journal typically has a long list of available referees, and also a database that tells them how quick and good they are, and what special topics they would rather be in service for.
Typically the journal will NOT pick anyone of the ones that you suggest, as they might think that they may be your friends. As an editor myself, I would hesitate picking anyone among the suggested reviewers, unless I know them, and know that they are conscientious.
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In the literature, fractal derivatives provide many physical insights and geometrical interpretations, but I am wondering where we can apply this particular derivative appropriately. Please refer me to references or examples because I am very interested to learn more about new derivatives and their applications!! I greatly appreciate all the brilliant efforts in this discussion!!
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Thank you very much Dr. P.K. Karmakar !!
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How the imaginary part of the refractive index or the extinction co-efficient glycerol or ethanol changes with the glycerol or ethanol concentration in an aqueous solution?
Is there any mathematical expression to calculate the change in the imaginary part of the refractive index of glycerol or ethanol with its concentration ?
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The change of the imaginary part with concentration is essentially Beer's law:
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The Throughput is the amount of data received by the user in a unit of time. How can I write this in a mathematical equation?
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If you search in Google, for " throughput equation"
you will receive the following sit that tells you all about this equation.
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The paper titled by "Closed-form formula of Riemann zeta function and eta function for all non-zero given complex numbers via sums of powers of complex functions to disprove Riemann hypothesis" disproves the well known unsolved mathematics problem, Riemann hypothesis. Thank you for your time and consideration. The full paper is available here:
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You are misreading the relation.
It is not x^s = e^sin(x).
It is x^s = e^sln(x).
the power is (s)(ln(x)).
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The substrate is in a rectangular shape, the length is 7,6 cm and width is 2.86 cm.
The particle density is 1.2, the volume of the particles is 50nm and the PH value is 2 and the amount of the particles in volume used to coat is 1000 microliters.
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Mostafa Gamal Emam Hussein Your question 'How to calculate mathematically SiO2 nano particles of 50 nm size thickness on glass substrate?' does not make grammatical sense in English. Using 'Sio2' (which I have corrected in my italics above and PH (should be pH) and a density of 1.2 (no units specified; indeed g/l is a very strange - and low - density) plus a 'volume' of 50nm (50 nm) - 50 nm is a length, not a volume - shows a marked scientific confusion.
What do you want to calculate mathematically?
Only useful comment I can make is that 1000 microliters is about 50 drops.
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Hello dear friends
For my thesis work, I need to first grade students in mathematics achievement test.
Please, any of you can help with this.
Thank you forever for your kindness
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Thank you so much! Paul Louangrath David Morse
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While most governments try to hide the facts and manipulate statistics about COVOD-19 due to political/economical/stupidity reasons, many physicians and scientists are currently working on finding cures for COVOD-19. I am curious whether there is any center/platform to use experts from different areas of research in this fight.
To be clearer, let me ask this:
I work in biomedical engineering department. I, my colleagues and our students are familiar with optimization, data analysis, artificial intelligence, time-series analysis, modeling, control and …
I hope there might be a center which can provide some data, plus some tasks, so we can do some real and useful research and have a share in this fight.
Just a saying: maybe a proper deep neural network can suggest best combination of drugs according to the available history.
-----------------------
P.S.
My question is about the direct fight. I don’t mean helping in e.g. producing masks, cloths and …
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Stay at home. :-)
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How to validate mathematical equations which govern a process/ phenomenon?
I have few mathematical models which govern a mechanical phenomenon..Experimentation is not possible..hence I want to do the validation.
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First and foremost mathematical expressions do not " govern a mechanical phenomenon." The equations describe a relationship between the variables in the equations and how they evolve over time. For utility in the sciences, it is hoped the equations actually are an accurate representation of the physics in this case. The equations are a theory of how the physics behaves. Predictions can be derived from the equations. However, the final piece of the scientific method is to verify or falsify the theory through comparing the prediction to experimental data.
Or to quote Richard Feynman: "It doesn't matter how beautiful your theory is, it doesn't matter how smart you are. If it doesn't agree with experiment, it's wrong."
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I got a laser source with the following parameters, 800 nm with pulse duration 110 fs. I intend to perform an SHG (Second Harmonic Generation) in order to produce a field of 400 nm wavelength. What should be my BBO crystal length to achieve, and what mathematical expression can I use to get it.
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very nice question as you i wait to see the answer
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Hello,
we all know entropy from physics and complexity of information,
so my question is about the possiblity to reorder information
zu a certain more ordered state of the past by human and digital technologies.
The factors I see in conguence to physics are (direction, entropy, time ...), in
information science (information capability, and modal situational logic) and in maths
(combination as sort of differentiation functionality to gain avarage information content towards a cause)
So to think is one example of such neg-entropy
Are there others?
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Although there is no direct answer to your question, it might be of interest to reconsider Maxwell's demon and Quantum Biology research.
I do recall that Prof. Capek's research--from our mutual discussions--from Charles University in Prague as he was working on a quantum model of Maxwell's demon.
There is ongoing a lot of research on Quantum Biology. It has a very bright future despite it is not, to the surprise of all, working at the absolute zero temperature as novel quantum computers.
We researchers are becoming more and more aware of the fact that QM approaches can shed light on many so far unsolvable scientific problems including the very foundations of biological functioning.
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In mathematics, there is a kind of number carriers with cognizable quantitative properties (such as imaginary number, fuzzy number, infinitesimal variables and monads … in present mathematics)"; these “mathematical carriers of abstract concepts and laws” can join any quantitative calculation process with finite number forms (number forms with Archimedean Property) but their exact values are unknown. They are defined as “number forms with Half Archimedean Property". The history of our mathematics has proved that people need to carry out various necessary qualitative and quantitative cognitions and studies on those “mathematical carriers of abstract concepts and laws with “Archimedean Property” or “Half Archimedean Property".
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certainly
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There are many existing publishers that publish high quality books in mathematics, but my question here is: I want some suggestions about publishers who most likely publish books in the field of fractional calculus and fractional differential equations because I am interested in submitting a book proposal for a suggested publisher. Could you please share you information/knowledge about such recommended publishers in this specific field of research in mathematics? I would greatly appreciate your brilliant efforts and time!!
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Thank you Dr.
Mila Ilieva
!!
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How to find the URL to know about the Call for papers & Book Chapter in Elsevier, Springer & IEEE?
(Specially for mathematics and applied mathematics)
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Any mathematical study for sickle cell disease?
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I approach this issue constructively. I'll give you my example, and you can point me to other examples of physical interpretation of arithmetic functions. My example in the attached paper "On the winding of a sphere" in which are the conclusion:
"Thus, our abstract mathematical constructions have some similarities with the mathematical formalism of quantum mechanics, and therefore the questions of the substantiation of quantum mechanics could possibly get an answer within the framework of the mathematical formalism developed here. At least, bearing in mind that the Jacobi theta function $\theta(z, \tau)$ satisfies the Schrodinger equation with complex variables, we could interpret it as ``quantum'' oscillations of the mathematical pendulum of the sphere winding, and Hurwitz zeta function satisfying the generalized Schrodinger equation, interpreted as a function of the oscillations of a mathematical pendulum with an evolving (for example, decaying) complex angle of deflection of the winding. On the other hand, the metaphysical method of random walks around winding a sphere that we have developed will probably find application in the substantiation of the Hilbert-Polya conjecture on the connection of nontrivial zeros of the Riemann zeta function with the eigenvalues of a certain differential operator."
and the abstract:
"First, we bring the reader to one remarkable result of the action of a modular group on a sphere, proving that of all closed torus windings wound around a sphere, single-wound windings that are indexed by a set of primes stand out. Further, we show that the rotation of the torus windings on a sphere, together with the measurement of the complex value of the angular coordinates of a discrete set of their points, gives us all the necessary data for the formation of the Riemann zeta function. Then, considering the dynamics of the windings, we notice that in the problem of random walk along the broken lines of the winding of a sphere, the concept of complex probability amplitude arises quite naturally, and the dynamics of the probability amplitude of the stray particle obeys a differential equation generalizing the Schrodinger equation."
I will only add that, perhaps, we can find a technological application of this equation.
Indeed, if the generalized Schrödinger equation works in nature, then the interaction time should be included as an additional factor in the nuclear reaction. In other words, due to the exponentially time-dependent coefficient of the generalized Schrödinger equation, the longer the nuclei come closer, the higher the probability of a nuclear reaction.
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Muhammad Ali, I am glad that I met a like-minded person here, but I would like to note that mathematical models describe reality (nature) in some cases, and fantasy (invented nature) in others. My goal is to describe moving matter.
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doing simulation analysis by using a three-construct model and converting it into maths equation and formulas. any resources can help??
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Hello Ibrahim,
Here's a resource that gives multiple examples and the implicit equations for most of them: https://www.lexjansen.com/wuss/2006/tutorials/TUT-Suhr.pdf
Good luck with your work.
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Recently years, we noticed more and more that the mathematics field is surely recommended to apply in all other fields of study to get accurate and undisputed results. with my good background in mathematics and computer programming, I'm looking for a good project to work with to use it in administration and/or economic fields. any suggestions?
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I"m suggest that a research about the design of a mathematics model to measure the credit capacity of the borrower in the Iraqi environment.
It also suggested that a financial program design associate with commercial credit, accounting and and mobile payment companies
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Is it correct in assuming that any number (x) added to another number (y) will result in a number (Z) that will be less than the sum (Z) of the same numbers (x,y) MULTIPLIED together? In other words:
will x + y = ? always be less than (x) x (y) = ?
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With a simple example, to show that (x + y) will not always be less than x.y; You can look at the example x = 0 and y = 1. Good luck
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A lot of studies were devoted to find a rigorous mathematical convergence proof for GAs. In fact analytical techniques could have been used to derive the convergence. However, no concrete answer is there to this query.
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I should think that a very small portion of the instances of the small problems you can think of might be solved quite correctly - but for the vast majority of problem instances it will fail.
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Dear colleagues, I am contacting you because I am organizing a special issue about “Application of Mathematical Analysis and Models to Financial Economics” of the open access journal, Mathematics (http://www.mdpi.com/journal/mathematics), which provides an advanced forum for studies related to mathematics. Mathematics is published by MDPI online monthly. The journal has been indexed in the SCIE, Scopus and Zentralblatt MATH. The First impact factor is 1.105 (Q1, JCR 2018, Mathematics). The submission deadline of this special issue has been extend to 20 December 2020, and the main purpose is to collect articles including mathematical applications on economics and finance issues, such as interest rates, volatility modelling, factor models, risk management, derivatives, portfolio management and uncertainty, in a Quantitative Finance context. Thus, if you are interested in contributing to this special issue, please, send me an email with information about your potential proposal; in concrete, name of authors, affiliation, email address and topic or title of your potential contribution. I would need this information as soon as possible, in order to give you a potential 50% discount on the article proccessing charges (50% x 1,200 CHF = 600CHF), because I will send it to the editorial office for approval. Kind regards, Prof. F. Jareño Guest Editor Keywords: Derivatives; Factor Models; Financial Mathematics; Interest Rates; Portfolio Management; Quantitative Finance; Risk Management; Uncertainty; Volatility Modelling
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If you give a potential 100% discount (free of charge) on the article processing charges, it will be OK for researcher from development countries.
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Hello,
I am working on a 3 variable system that has an oscillatory behaviour (Hopf).
I would like to seek for the region for oscillation parameter space.
I found a link draw some figures like the ones I wish to construct.
What are the mathematics behind these figure or what should I do to be able to find these region and plot them.
Your suggestions in this regards are highly appreciated.
Here is the link please see (Fig. 6)
Thank you
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I hope following paper are in the direction
Structure of the control parameter space for a nonautonomous piecewise linear oscillator
E. P. Seleznev, A. M. ZakharevichJournal:Technical Physics
A structure of the oscillation frequencies parameter space for the system of dissipatively coupled oscillators
Emelianova, Yulia P., Kuznetsov, Alexander P., Turukina, Ludmila V., Sataev, Igor R., Chernyshov, Nikolai Yu.Journal:Communications in Nonlinear Science and Numerical Simulation
Structure of the parameter space for the van der Pol oscillator
E. J. Ding
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Any difference in their basic mathematical formula ? Like p= Cov (X,Y)/ ((var X * var Y)^1/2)?
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Seyed Mahdi Amir Jahanshahi Unfortunately you are incorrect. A correlation coefficient measures correlation between two ordinary variables say x, y. A cross correlation coefficient usually measures the correlation between two time series say x(t), y(t). full details at https://www.google.com/search?q=correlation&rlz=1C1CHBF_enUS874US874&oq=correlation&aqs=chrome..69i57.8275j0j1&sourceid=chrome&ie=UTF-8
and
Please notice that t can be more general than time as we think of it in most time series applications. Best, David Booth
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What is the mathematical expression to represent channel of a multi-core fiber? (Including Inter-core crosstalk (XT), noise and other impairments)
In Y=H.X+N, how can we find the channel coefficients in 'H' matrix? What are the other parameters to be considered along with XT for calculating h(i,j) in H?
Furthermore, any suggestion on considering 'N' other than AWGN?
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I propose, If we consider the a single-core in MCF as a SMF that affected by the same phenomena( linear and nonlinear), herein we can use Schordinger eqaution for each cores and we need to add a development to describe the XT between cores.
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I want to demonstrate mathematically that there is no even harmonic in normal condition and there are in the transient of fault
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Hi dear colleague,
your question is a general one, so I would like to offer you to analyze evenness of non-sinusoidal current or voltage under consideration (if possible). If your function is an odd one it will surely mean absence of all the even harmonics in the Fourier expansion.
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What is the application of the mathematics in architecture?
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Application of mathematics in architecture is similar to application of chemistry in medicine...
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If we integrate STEM in learning, do all aspects of Science, Technology, Engineering and Mathematics have to be present in every activity? Or may only 2 or 3 aspects appear?
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The biggest problem with this thinking is that all of those terms are far too broad to design detailed and specific learning outcomes. You might argue that all of those disciplines will influence how we shape the requirements of the teaching method, but ultimately applied are often driven 'bottom up'. Such that we start at the problem and design a teaching framework around the measures we can place on how well the problem is solved.
For example: If I am attempting to teach somebody a practical skill such as welding, my metrics are going to be a lot more specific and goal-driven (I.E. has it penetrated correctly, is the surface reasonably 'clean') than trying to start at the abstract end of STEM and work out what mathematics / technology I want to teach in the process. Eventually, under a QA / teaching review I might decide that the welder should undertake some kind of arithmetic assessment to hit the "M" part, or perhaps understand some of the metallurgical process for the "T" component etc... but that is more than likely secondary to ensuring that they are welding correctly and at a sufficient rate / quality point.
For modern education activities that are perhaps a bit more abstract (such as classroom staples of mathematics and essential sciences) then you could certainly use all four components to enrich the lesson. For example: take a lesson on organic chemistry (such as Alkene reactions) which covers "S" - we could add information about catalysts for "T", applications of chemicals or reaction rates / equilibria for "E" and some basic equation balancing or empirical calculus (such as exponential cooling or thermal model) for "M". However, you only have a certain amount of time to teach somebody and they can only retain a certain volume of information, so we are back with the earlier philosophy that the teaching method is usually more specific and drive by what the outcome needs are, rather than using STEM vernacular to guide teaching.
Personally, I think you should strive to attain something from all 4, but that is only a very basic high level assessment of general education. There are so many skill areas that you'll be unaware of until you spend time working with / or become an expert(s) in the given problem space.
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Simplex method in linear programming.
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