Science topics: Mathematics

Science topic

# Mathematics - Science topic

Mathematics, Pure and Applied Math

Questions related to Mathematics

Some modular functions, such as the Riemann zeta one, display a fractal behaviour.

Does also the curve of the j-function display power law properties, or a scale free structure?

It it feasible to calculate the j-function's power law slope, or its Lyapunov exponent? Is the j-function somehow correlated with the Feigenbaum constant of logistic plots?

There are lots of Optimization method /Evolutionary algorithms (EAs) in literature. Some of them is more effective (for solving linear/nonlinear problem) compared to other. But we don’t know which will fit our model. As a result we checked for everything as we can do. But cant get the desire result. Some of those methods are 1. Genetic algorithms (GA) ; Haupt and Haupt (2004) 2. Pattern search (Mathlab) 3. Particle swarm optimization (PSO), Binary Particle Swarm Optimization (BPSO); Eberhart and Kennedy (1995) 4. Bee optimization; Karaboga and Bosturk (2007) Pham et al (2006) 5. Cuckoo algorithm; Yang and Deb (2009, 2010) 6. Differential evolution (DE) ; Storn and Price (1995, 1997) 7. Firefly optimization; Yang (2010) 8. Bacterial foraging optimization; Kim, Abraham and Cho (2007) 9. Ant colony optimization (ACO) ; I Dorigo and Stutzle (2004) 10. Fish optimization; Huang and Zhou (2008) 11.Raindrop optimization ; Shah-Hosseini (2009) 12.Simulated annealing ; Kirkpatrick, Gelatt and Vecchi (1983) 13.Biogeography-based optimization (BBO), 14. Chemical reaction optimization (CRO) 15. A group search optimizer (GSO), 16. Imperialist algorithm 17. Swine flow Optimization Algorithm. 18. Teaching Learning Based Optimization (TLBO) 19. Bayesian Optimization Algorithms (BOA) 20. Population-based incremental learning (PBIL) 21. Evolution strategy with covariance matrix adaptation (CMA-ES) 22. Charged system search Optimization Algorithm 23. Continuous scatter search (CSS) Optimization Algorithm 24. Tabu search Continuous Optimization 25. Evolutionary programming 26. League championship algorithm 27. Harmony search Optimization algorithm 28. Gravitational search algorithm Optimization 29. Evolution strategies Optimization 30. Firework algorithm, Ying Tan, 2010 31. Big-bang big-crunch Optimization algorithm, OK Erol, 2006 32. Artificial bee colony optimization (ABC), Karaboga,2005 33. Backtracking Search Optimization algorithm (BSA) 34. Differential Search Algorithm (DSA) (A modernized particle swarm optimization algorithm) 35. Hybrid Particle Swarm Optimization and Gravitational Search Algorithm (PSOGSA) 36. Multi-objective bat algorithm(MOBA)
Binary Bat Algorithm (BBA) 37. Flower Pollination Algorithm 38. The Wind Driven Optimization (WDO) algorithm 39. Grey Wolf Optimizer (GWO) 40. Generative Algorithms 41. Hybrid Differential Evolution Algorithm With Adaptive Crossover Mechanism 42.Lloyd's Algorithm 43.One Rank Cuckoo Search (ORCS) algorithm: An improved cuckoo search optimization algorithm 44. Huffman Algorithm 45. Active-Set Algorithm (ASA) 46. Random Search Algorithm 47. Alternating Conditional Expectation algorithm (ACE) 48. Normalized Normal Constraint (NNC) algorithm 49. Artificial immune system optimization; Cutello and Nicosia (2002) 50. fmincon .

Besides this there are many other optimization algorithm recently invented which are generally called Hybrid optimization Technique because it’s a combination of two method. If we share our experiences then it will be helpful for all of us who are in the field of optimization. I may be missing some methods, researcher are requested to add those algorithms and the way of use like many model needs initial value, weight, velocity, different type of writing objective function etc. I am facing some problems that’s why I make this format which will definitely help me as well as all other researchers in this field. Expecting resourceful and cordial cooperation.

Can you give me information about journals that have monthly publications and do not prolong the period in the evaluation of research and acceptance of publication?

I am searching for mathematical expression

Trying to understand the Kalman filtering with all these example of the EKF and is it properly done ?

Mathematics are limited to the measurement of limited things but whenever we talk about infinite universe or invisible things there are no solution in form of mathematical equation. The quantum mechanics or quantum computing could also not express or explained in terms of mathematics.

The great mathematician David Hilbert set out twenty-three important problems in mathematics in 1900. One of the famous outstanding ones is the Riemann zeta hypothesis. One might argue that once a good problem is found someone somewhere will eventually find the answer. Even if the 'sometime' can be a long while, as in the case of Fermat's last theorem, still, I am inclined to the view that finding a good problem is sometimes more important than finding the answer to a good problem. On the other hand, perhaps good problems are becoming more abundant? Problems concerning the internet for example only came into existence with the internet. What is your view? Which is harder, finding a good problem or finding its answer?

I have consistently been able to formulate many matrix algorithms, used throughout mathematics as hyper spaces. Somehow it seems natural to me. If I can see these toplolofoes I may be able to help formulate how to transform, restructure them to what you seek.

Is it possible to manage with supply chain in a more effective way?

What other types of spatial descriptors, such as matrix and graph, exist?!!!

I am working on the beam steerers based on the phase gradient metasurfaces. Mathematically, I have calculated that beam will steer at an angle of 32 degree. However, in the intensity plot which is attached herewith, it can seen that wave is propagating at a certain angle but how can I ensure that whether it is propagating at the angle of 32 degree or not.

Thanks in anticipation.

Dear everyone,

What is the mathematical relation between coherence length and coherence time in an FSO channel. The transmitting laser has centre wavelength of 1550 nm.

Suppose the atmospheric channel has a coherence time of 0.5461333 × 10^-6 s. what will be the coherence length. Please let me know if further information is required.

With regards,

Dhiman Kakati

Is there any document giving a mathematical representation of the working of AttributeSelectedClassifer in WEKA?

In mathematics, we prove many theorem by contradiction method.. I want to know this method is applicable in nature or not ....

Hello everyone!!

im just wondering, is it possible to find the hourly Tidal levels?

if we have understood the different factors contributing the Tidal levels, i guess it is possible to determine the Tidal wave levels.

i'm from the different background i don't know whether the techniques have developed for the estimation/deterimining the Tidal levels.

so please suggest if there is some method as such?

Does light scattering occur more in less viscous solution than the highly viscous polymeric solution? Is there any such relationship or mathematical expression like this?

Can you help me find a conference with a close date and can I send a summary and complete research in these months? Note that the required conference in the discipline of mathematics

Can somebody help me find the right formula to calculate customer's savings at retirement from this function:

**retirement_savings(PMT, i, start_age, end_age).****Python mathematics.**

**Function 2: Retirement Savings Calculator**

Build a function

**retirement_savings(PMT, i, start_age, end_age)**that calculates your customer's savings at retirement, if they:- invest an amount,
**PMT**at the end of every year (with the first payment made in exactly one year's time from now), - at an interest rate of
**i**% per year, compounded annually. - They just turned
**start_age**years old, and - they want to retire at the age of
**end_age**

**: Your function**

*IMPORTANT***may not call any of the other functions you've defined in this project**(i.e. you may not call savings_calculator(PMT, n, i) inside this function)

You can assume that start_age < end_age, and both are positive integers.

In [0]:

*### START FUNCTION 2*

**def**retirement_savings(PMT, i, start_age, end_age):

*# YOUR CODE HERE*

*# Remember to round your answer to 2 decimal places:*FV = round(FV, 2)

**return**FV

*### END FUNCTION 2*

**: Your function needs to**

*IMPORTANT***return**an float value

**.**

*rounded to 2 decimal places*If your answer is not rounded correctly to 2 decimal places, you will receive 0 for the question.

Make sure that the following tests all give a True result:

In [0]:

retirement_savings(20000, 0.1, 20, 35) == 635449.63

In [0]:

retirement_savings(10000, 0.1, 40, 60) == 572749.99

Can Eigen value and Eigen vector be explained in terms of its use in Data Science. How it can be described in layman's terms to normal amateur in this field?

Any help in terms of applications, use, concepts, real world examples in the field of Data Science and Machine Learning would be appreciated.

Please share your experience of real world research in this area, explain and discuss over here instead providing links to papers and articles. Really appreciate it.

Thanks in advance!

For the sake of interest I was out looking for a discussion of functions in computer science as generalized functions. I started my search by something such as "computer functions as mathematical functions". NO paper discusses functions in computer science in terms of set theory, and they compare (not equate) mathematical functions and functions in programming. Where did I miss the buss? Mathematics need not be done with numbers, although the largest application of mathematics is to numbers.

Dear Scholar

Yes

This method does NOT follow any known principles of Mathematics including , Euclid's ELEMENTS. Hence the method adopted here is ORIGINAL and the result is EXTRAORDINARY. The world of Mathematics now see the REAL / TRUE/ EXACT / Algebraic Pi Value

I have some difficulties in finding the correlation between some variables at TIMSS result, for instance correlation between mathematics achievement and bulyying at school. I hope someone there can show me in doing that.

I'm measuring fluorescence intensity in 24-well plates using a plate reader.

example.

Configuration 1: Excitation 396nm, Emission 509nm, Gain 100

Sample 1 value: 100

Configuration 2: Excitation 488nm, Emission 510nm, Gain 50

Sample 1 value: 5000

This 50-fold difference in fluorescence intensity values happens for almost all samples (including blanks). What is due to?

What is the mathematical formula that explains this relationship between Excitation-, emission wavelengths and "gain"?

Thanks!

I am trying to make mulitple choice mathematics [fourier series, PDE and etc] questions and upload questions in blackboard.

I dont have a format of this process. can any one give the format and tell the procedure for it.

I want to know the mathematical relation in calculating the % of an isolated compound from plant material of a know mass. eg. I started with 250 g of plant material and isolated a flavanoid of mass 0.5 mg.

What is the meaning of noise in conventional optical fiber and photonic crystal fiber? What should be its mathematical expression?

I want to know how the trace of matrix A(given A is positive semi definite) and polynomial function associated with A i.e. x^T*A*x are related ? (here x is any vector except x=0)

I'm looking for a free fea software,but my background is in industrial chemistry, so I 'don't have the mathematical basis.

Is possible to make some calculations with an user friendly interface?

Thank you for your help

What are surface wave modes? How can we calculate them for a particular substrate to design the microstrip antennas? Kindly provide the mathematical expressions.

*Is anyone working on Polynomial Splines for modelling noisy time series? I need the related research works with mathematical construct. I'll requiring help to model a highly noisy time series with a clear mathematical construct.*

Good morning,

I'm currently trying to compute laplacians on a deformed lattice and i'm trying to use the equation 2.3 of this paper in my work: https://arxiv.org/pdf/hep-lat/9810051.pdf

The thing is, i'm working with a U(1) gauge field that makes avoid me to simply use this formula.

In fact, is there something like the mean value theorem for gauged derivatives? My function would not be harmonic but something like "gauged harmonic":

"D^2 f = 0" where $D = \partial + i A$

Let me just add that i'm more into physics than mathematics, and thus i don't understand fully mathematical publications. In fact, i'm working in 2d and cartesian space. Hoping i was clear enough.

Thank you in advance for you help.

Best

From the physical significance point of view it can be described that that (tao)q/(tao)T>0, then hyperbolic behaviour will be observed; if that ratio = 0 then parabolic behaviour will be observed and if that ratio<0 then diffusive thermal behaviour will be observed.

But from the point of classification of partial differential equation, how this can be analyzed?

For some time now, we have been listening to the changes implied by the advent of the Technological Singularity, as a point of no return.

The discussions are as versatile as they are disturbing.

In that moment of increasing autonomy and perhaps independence from Artificial Intelligence, it seems to be evident that technological changes will exceed the human capacity to assimilate them.

Authors such as: (Theys, 2012), (Kurzweil, 2012); (Ruiz, 2013) (Cordeiro, 2016), among others

They have offered a very abundant discussion to the rspect

How do you imagine philosophy in that new horizon?

Our civilization continue to evolve at an amazing pace. Methematics plays a crucial role in this evolution. What are the some of the most important mathematical discoveries made during the modern era?

Euler and Newton are considered as the best mathematicians. Gauss, Weierstrass and Riemann are considered as the best theorist. Archimedes is often considered as the greatest mathematical genius who ever lived. I am not interested in google searches and links. What do you think?

Hi I need help for my thesis.

My thesis is about teaching fraction concepts for primary pupils and I struggling to identify the appropriate constructivism learning approach.

Dear Researchers,

I am wondering if there is any other mathematical writing of the factorial. If it is, i need some papers.

Thank you and best wishes.

Intuitively, staleness of information or data is directly proportional to elapsed time. Is there any mathematical function to model staleness w.r.t time, in communication domain ?

I would be very grateful if I could be assisted with a copy of the above article. I am developing a paper of which the Fennema-Sherman Mathematics Attitude Scales will be of help.

Thanks

Best regards

Osman

When we proforming a CV in acid aqueous solution from 0 to -1.5 V, the polarization curve can be observed for hydrogen evolution. The Faradaic current continueously to decrease and show no peaks. I understand that people say large infinitely sufficient amount of H+ in 0.5 M H2SO4 is the reason, but can some one explain to me

**mathematically**why the current is infinitely large, since the concentration of H+ in 0.5 M H2SO4 is only 1M after all.I want to include a condition for the transfer function G(s) which is equivalent to the statement mentioned above inside inverted commas but I am not able to describe it mathematically. I was wondering if I could use the L2 norm in this case .

Please advise.

Thanks

I am trying to come up for an analytical solution for resistance and current flow in an electrochemical half cell. (see attatched cell diagram). I can probably do it by expanding the matrix to a high order but would like if some maths whizz could show me and analytical solution to it.

I need to make a relatively quick calculation of confluent Heun function (It is HeunC in Maplesoft Maple notation) values with different parameters in different points. I understand that it is possible to solve a Heun equation numerically, but that way seems not to be effective.

Of course, it is possible to use, e.g. Maple, for numerical procedure realization I need this in my study, but applying some series expansion or hypergeometric functions is more preferable.

So, I would appreciate simple (because I'm not a pure mathematician) information about series expansions of the Heun confluent function, its expression by hypergeometrics or any other known functions which are available to realize the numerical calculation.

I'm trying to get a distance matrix between my different datapoints in a bidimensional space (one variable in X axis, another in Y, simple). To get the distance forming the matrix, i will use euclidean distances, and, due to X and Y variable being in different scale/units, I want to standardize them (for example, using a rank between 0 and 1, or using the mean as 1, doesn't matter).

Until here, everything is okey. But when I'm about to request this normalization in SPSS, the programme asks me if I want to perform this standardization "by variable" or "by case". I don't understand the difference between this two procedures and the help in the programme doesn't look very helpful.

Kindest regards,

Quique

If we have the Mean and Median of a data set is there a mathematical formula to find the Mode using this two factors (Mean, Median)?

I am writing code for multi-carrier data transmission over time varying multi-path channel in MATLAB. Mathematically , received signal can be represented as,

y=x(t)*h(t,delay)+n(t)

Impulse response of channel with 5 multiple paths has been designed in this work. complex gain and delay of multiple paths have also been calculated. Since channel is time varying the size of transmitted signal and impulse response of time varying channel are different. Please anybody tell me how to transmit the signal through time varying channel having multi-paths in MATLAB

I am studying integral transforms (Fourier, Laplace, etc), to apply them in physics problems. However, it is difficult to get books that have enough exercises and their answers. I have found that in particular the Russian authors have excellent books where there are a lot of exercises and their solutions.

Greetings,

Ender

The closed mathematical form of bivariate g-h distribution is not available in the literature so please help me any approach is available. Also, suggest me how to generate data from bivariate g-h distribution in R.

Thank you.

I have written all mathematical questions that I need in Matlab, but the figures are not come out because some of the results is 0 and NaN. I have tried many times to check and change the codes but it still does not work. Here, I upload my Matlab code, maybe you can help me to check where my mistakes are. Thank you in advance.

As we know that the Curl of linear velocity is equal to twice the rotational velocity (Mathematically). In practical life if it is possible to construct a Curl operator which transform the linear velocity into rotational velocity, then it will be very helpful for our society. Please share your opinion/s....

I am looking for references to work similar to that of Takeshi Miyakawa (2016) comparing the case of proof in the Japanese and the French curricula, or Christine Knipping (2002) comparing proof teaching in German and French classes. These studies are illuminating about the impact of language, communication and culture on the actual meaning of "proof" in the school context. They also open questions -- and address them -- about the interaction between proof and the mathematical content at stake. I would like to make a survey on this issue. For that I need more references to bilateral or multilateral comparative studies.

I need to find a equation which can be used to describe a graph. I have attached file which contains more details. Is there any curve fitting software that I can use.

I need some literature anout pronkens encountered in teaching mathematics. It might be in elementary, secondary or college level. Thanks.

If we have two-nodes and one relay, where two-nodes can communicate with each other using the help of Decode-and-Forward relay node. How to implement it in two-phase transmission instead of three-phase??

I have complete numerical data and would like to take derivative of the response. Also, the x variable is constant numerical value while y variable is changing. So which formulae to use for calculating 1st derivative.

*Are the*

*Euler–Mascheroni constant*

*,*

*π*

*+*

*e*

*, π − e, πe, π/e, πe, π*

*√2*

*, ππ, eπ2,*

*ln*

*π, 2e, ee,*

*Catalan's constant*

*, or*

*Khinchin's constant*

*rational,*

*algebraic*

*irrational, or*

*transcendental*

*?*I'm looking for some working definitions and operationalisation of mathematical problem solving and mathematical word problems to support this section of my literature review. Do word problems sit within problem solving or are they interrelated?

We are searching for a mathematical correlation for the droplets size distribution of liquid when atomized by air blast.

With known mass and area i.e. width and length values of a known geometry.

How to calculate mathematically film thickness of water film/layer which will be developed from that specific mass of liquid ??

Hi ,

I have the question regarding difference between scattering parameters of an active RF component and a passive Rf component. Do we need to follow same mathematical relation to calculate S-parameters and reflection coefficient, which is used for passive component or there is different mathematical relation.

Regards

I want to solve a mathematical algebraic equation.

For example, T^2+exp(-T)+T^3+...=0. where T is a variable to be found. Moreover, I know T through another approach is near 5, T ≈ 5 (from engineering art and intuition). Meanwhile, I want to know, whether I am authorized to use an approximation (expansion) for exp(-T), which is valid for T roundabout 5, and then place the approximation (expanded expression) into the preceding equation; T^2+exp(-T)+T^3+...=0, and solve the simplified equation to get the exact T. This is like a math trick or cheating. So I am clearly looking, if I am authorized and allowed to use an approximation for exp(-T) for T near 5 and plug it into the investigated equation to get T, or I should find a thoroughly other valid approximation through a wide range, for example valid for -inf<T<inf, and then replace it into the equation and find T.

Kinematic viscosity and thermal conductivity relation using mathematical equation

I am currently working on a study to determine how learners can understand geometrical theorems better using invariant examples. Specifically the cyclic quadrilaterals.

I'm a PhD student in Applied Mathematics seeking for an answer to the above question. I know of Evolutionary branching in Ecology and Evolution. What other fields of Sciences and Engineering are there cases where branching occurs naturally?

Hi,

I was trying to assign the pressure and the mass flow rate at inlet for my case in Fluent, but after some research, I've found that u can't do that because it's mathematically over specifying.

but someone suggest that i can use UDF to override this part, can this method work? and where exactly i just use it, in mass flow rate condition or in pressure-inlet condition?

-Up to now we usually use the

*classical mathematics*the origin of which is at the end of the 19^{th}century and/or at the beginning of the 20^{th}century. Even the contemporary quantum physics, astrophysics, and AI of the 21^{st}century are still using that*classical mathematics*! In von Neumann's quantum mathematics there is no any*anomaly*whatsoever in Thomas Kuhn's 'The Structure of Scientific Revolutions': why?-Thanks for your answers! Marc

Does it produce a same physical realization ( apart from mathematical similarity) by applying only Fourier Transform or Hilbert Transform followed by Fourier Transform.

Mathematics has its own beauty and importance. It has different applications in various fields and is used to solve many real world problems in society and industry. How does it correlated with art, poetry, literature, culture, music and so on ?

I've created an eLearning resource. My sample group consists of 22 Biology and 7 Environmental Science students. How do I find out if there is a correlation (or difference?) between 1) the scores achieved in the test and the course taken 2) the scores achieved in the test and the students' year of study (first year, second year, final year)

-The general definition by Bertalanffy (himself): "Ein

*System*ist eine*Menge*(im mathematischen Sinn) von Elementen, zwischen denen Wechselbeziehungen bestehen". (This is what I heared more times during scientific congresses): ergo: it is (more or less) identical to a*set*.-However, Bertalanffy's definition regards only the

*inner environment*: there is (according to him): (a) no question about an*empty set*(which is a big problem in mathematics, as far as I know); (b) he (Bertalanffy) does not speak of the*outer environment*(Popper's world 1 and Herbert Simon's*inner*and*outer environment*).-What could be your answer? Thanks, Marc

I used different methods for generating the criteria’s weight in MCDM methods. Results demonstrate that the rate of changing in the weight of the criteria in the Shannon entropy method is negligible (changing the weight of the results are very low). does anyone know about the reason for the results?