Science topics: Mathematics

Science topic

# Mathematics - Science topic

Mathematics, Pure and Applied Math

Questions related to Mathematics

The emergence of new infinite system (new 'infinite' idea, new number system and new limit theory) determines the production of "new mathematical analysis". The mathematical analysis based on the classical infinite system is called "classical mathematical analysis", and the mathematical analysis based on the new infinite system is called "new mathematical analysis (the fourth generation of mathematical analysis)".

There is no infinite related mathematical analysis without the “infinite related number forms”. So, the “quantitative cognizing work on infinite related number forms” is an important and unavoidable task for mathematical analysis. But our studies have proved that in present mathematical analysis, people have been admitting the being of “potential infinite, actual infinite” concepts, unable to deny their qualitative differences and the important roles they play in the foundation of present classical infinite theory system and, unable to deny that the present classical mathematical analysis is basing on present classical infinite theory system. The fact is: on the one hand, present classical mathematical analysis can not avoid the constraining of “potential infinite--actual infinite” concepts and their relating “potential infinite number forms--actual infinite number forms”; on the other hand, no clear definitions for these two concepts of “potential infinite--actual infinite” and their relating “potential infinite number forms--actual infinite number forms” have been constructed since antiquity, thus naturally lead to following two unavoidable fatal defects in present classical mathematical analysis:

（1）it is impossible (unable) to understand theoretically what the important basic concepts of “potential infinite, actual infinite” and their relating “potential infinite number forms--actual infinite number forms” are. So, in many “qualitative cognizing activities on infinite relating mathematical things (infinite relating number forms)” in present classical mathematical analysis, many people actually don’t know or even deny the being of “potential infinite, actual infinite” concepts and their relating “potential infinite number forms--actual infinite number forms”--------the “qualitative cognizing defects on infinite relating mathematical things (infinite relating number forms)”.

（2）it is impossible (unable) to understand operationally what kind of relationship among the important basic concepts of “potential infinite, actual infinite”, their relating “potential infinite number forms--actual infinite number forms” and all the“infinite number forms as well as their quantitative cognizing operations” are. So, in many “quantitative cognizing activities on infinite things (infinite number forms)” in present classical mathematical analysis, many people have been unable to know whether the infinite relating number forms being treated are “potential infinite number forms” or “actual infinite number forms”, no one has been able to avoid the confusing of “potential infinite number forms” and “actual infinite number forms”, no one has been able to know whether or not treating “potential infinite number forms” or “actual infinite number forms” with the same way or different ways. What is more, many people actually don’t know or even deny the being of “potential infinite number forms” and “actual infinite number forms”--------the “quantitative cognizing defects on infinite relating mathematical things (infinite relating number forms)”.

The above two fatal defects have decided since antiquity the absence of “infinite carrier theory” and the confusion of “abstract infinite concept and its concrete infinite mathematical carrier” which have been making us impossible to construct the scientific and systematic theory of “infinite related concrete number form (the mathematical carriers of abstract infinite concept)”, impossible to construct the “potential infinite--actual infinite” relating number forms as well as the “potential infinite--actual infinite” relating number system and its relating treating theory, thus unavoidable forming an insurmountable obstacle in the “quantitative cognizing process on infinite things (infinite number forms)” in present classical mathematical analysis. And, it is impossible to know what those “’both potential infinite number forms and actual infinite number forms’, ‘neither potential infinite number forms nor actual infinite number forms’ mathematical things” are, and can only treat all of them with the “flow line (pipelining)” unified approach （such as the three formal languages in three generations of mathematical analysis: before standard analisis, standard analisis, non-standard analisis）. So, many members of different infinite related paradox families in present “potential infinite--actual infinite” based classical mathematical analysis have been produced one by one naturally (the newly discovered “strict mathematical proven” Harmonic Series Paradox is a typical example), forming a thousands-year old suspended huge black cloud of paradoxes over present classical infinite related science and mathematical analysis.

Dear Researchers Fellows,

I am seeking a post doctoral position in mathematics education working on integrating technology in teaching and learning mathematics or educational measurement.

Any suggestion is highly appreciated.

Best regards,

Considere a completely randomized design, where every unit is randomly assigned to a treatment group. Let's say we have 30 observations and 3 treatment groups. When we choose one observation at random, it has 1/30 of chance of being selected, then the second one has 1/29, and so on. However, I've been told that there is a mathematical proof showing that, in the end, every single observation has the same chance of being selected to be part of a treatment group.

Is this true?

Thanks & Regards.

Hi,

How many mL of FeCl3.H2O solution is required to just dissolve 1 g of copper in 1 hour? Please provide the chemical and mathematical equations too!

With Regards,

Suhas D.

I know how to plot a 2D real vector. Let's say I have a vector 'a' represented in a row matrix, a = [1 1]. I can plot it in xy plane and I will be getting a line having the equation x=y.

Similarly, I know how to plot a complex number. Let's say I have a complex number z=a+ib. I can plot in real-imag plane and I will be getting a similar line having the equation x=y.

But I don't know how to plot a complex vector 'c' represented in a row matrix, c = [1+i 1+i].

Kindly guide in plotting other alternate complex vectors such as [1+i 1-i], [1 i], [i 1]

Hi everyone,

Is there some suitable mathematical or empirical law that allow us to get the stress drop of an earthquake and the corner frequency; using the seismic moment?

thank you all

Mathematics has been always one of the most active field for researchers but the most attentions has gone to one or few subjects in one time for several years or decades. I'd like to know what are the most active research areas in mathematics today?

**Does mathematics benefit/advance from such theories/models?**

**Relevant Reference Link:**

Do you know if there is a mathematical approach (or any publication that came out with something similar) that state the age cut-off between the [(206/238)/(207/206)], and [(206/238)/(207/235)] discordancy degree calculation?

Is there a quantitive measurement of how equilateral a triangle? Such as the following:

**Triangle A(2,3,4)**

**Triangle B(3,3,3)**

**Triangle C(10,10,1)**

Is there a measurement such that

**0**is a triangle that doesn't satisfy the triangle inequality theorem and**1**is a perfect equilateral triangle, assuming that a triangle's side length range is**not infinity**but rather constrained between**(0,c].**Therefore I should get:

**Triangle A = some value between 0 - 1**

**Triangle B = 1**

**Triangle C = value close to 0**

The Monod equation is a mathematical model for the growth of microorganisms. But the mushrooms do not follow this trend as they have a phase where spawn running is carried out. Also, the biomass increase is differed from other microbes.

The attached images shows the difference.

Please tell me can we still use Monod equation to to express specific growth rate of mushrooms and substrate utilization?

or which model will be more suitable in my case?

Thanks

I know that an infant's brain can repair itself when damaged but why doesn't the same happen in adults after stroke or brain injuries?

**Relativistic gamma can only be positive, in the time dilation equation.Hence , modulus of relativistic gamma has to be applied. If this error is taken into prudent account, cosmic speed of particles greater than 1kg and 1s is one-third the speed of light.Hence only meagre, kinetic relativistic effects are possible in nature.**

For shell elements, is the elasticity tensor for linear-elastic & isotropic materials the same in a local curve-linear (convected) system vs. a local Cartesian system?

I wonder because intuitively, for a shell element & linear-elastic isotropic material, the only direction that matters (material-property wise) is the z direction. And in this case, the local z axis is aligned with the curve-linear coordinate system. But how do we mathematically show it?

If we have a matrix with both zeros and ones, in Matlab we just 'find' command to find the indexes of those nonzero elements. But how can we find it mathematically . can anyone help me with that.

Suppose I find 1000,00(one lakh) 2x2 matrix responding to eogenvalues : e1,e2

Then which one I will accept and which 99999 matrices to reject.

Give yoir views. My findings are mathematically correct.

B.Rath

I have been struggling to get endorsement for putting preprint in arXiv, but I a unable to get it. What is the best method to get endorsement in arXiv for physics or mathematics?

The state [uud] is given. The transposition (12) is a symmetry of this state e.g. (12)[uud]=[uud]

Let us calculate the result under acting of the cycle (132):

(132)[uud]=[duu]

But (132)=(23)(12), so

(132)[uud]=(23)(12)[uud]=

=(23)[uud]=[udu].

Where is the mistake?

Like AI, space technology etc.

As we are investing money in research, only fruitful research is able to generate money And loop completed. but most of us investing money on research but only for publishing paper.no income generation.

Being a researchers I wish to know how to address this issue.

Hi all,

I would like to know how to generate mathematical proofs and theory. Is there any material that I can study? ..What do you think?

How to solve the pell's equation for d = 1 x^2 - dy^2 = k?

Also how can I solve the generalized pell's equation x^2 - 5 y^2 = k

for fraction solutions?

One more,how to find number of tuples of (a,b,c) a,b,c belong to integers satisfying a^2 + b^2 = c^2 and p=a+b+c given p.For this I tried p=2*m*(m+n) taking general variable transform a = m^2 - n^2 , b = 2 * m*n ,c = m^2 +n^2 and created inequalities sqrt(p/2)<m<sqrt(p/4) but in this case I missed some solutions since if m is irrational and n is too then then m^2 - n^2 is integer,and if m*n can be integer too if both of then have same irrational parts.Still I ran a loop in python programming on m^2 in (p/4,p/2) and then finding n^2 by the perimeter's equation.I have to loop for p = (2,1500000). I taking more than 4 hrs.Any suggestions how to optimize ?(Also p can only be even can be checked very easily so loop is only over half of 1500000 values)

In reference to the attached presentation material regarding the sum of the following infinite series 1+2+3+4+... the following comments are due

• The obvious answer is a huge positive whole number beyond our imagination

• But what if a theory wants the answer not to be so?

• Are we allowed to challenge the theory?

• Are we allowed to bend the rule or even cheat to get the desired value?

• Is this bending, of the rule, only applies for exceptional cases or can be exercised freely?

My conclusions are

- It is a well-known fact that how feeble tricks are used in mathematics to obtain some haphazard values from divergent series to baptize certain theories in physics.
- Three types of tricks are used to obtain the desired results

- Ignoring or hiding divergent quantities
- Ignoring or hiding conditions for formulas
- Extending the domain of a formula

- These tricks simply erode confidence in mathematics as a sure scientific tool.
- It is a legitimate question that if these flagrant deceptions are exercised to fool ourselves, who knows what other tricks are used to obtain desired results from complicated mathematical derivations?

The main question is; why for heaven’s sake, mathematics needs cheating in dealing with new challenges in science. Either it is not competent enough to cope or it is just a subjugated slave in the hand of any popular theory

Is there a mathematical way to determine how much data points are required to map a 3D object?

Many simulation software's are killing the basic knowledge one should have of his field but use of these software's are sometime more helpful and productive then the theoretical knowledge, what you people thinks?

Your very nice conference paper shows results from MATLAB/Simulink and Mathematica simulation. How can I get a copy of you MATLAB/Simulink and Mathematica programs?

Though I know the mathematics behind Bicubic Interpolation, but I still unable to get a proper understanding on how is it applied on an image?

I know it works on an 4*4 pixel patch and takes into consideration surrounding 16 pixels to compute the value of the interpolated pixel, but how is it applied to an image as a whole?

What are the possible effects of gender variables on student instrumental genesis in mathematics? In CAS (from GeoGebra or from other mediums) environment?

What are possible resources and theoretical foundations for the topic?

What is the mathematical justification for the staggering grid (leap-frog) used in the FDTD method? any references?

Please provide the mathematical details of the phenomenon, specifically for a parabolic path if path property is required

What can be suitable theoretical framework(s) for technology integration in mathematics classrooms implementing flipped classrooms?

First a large size matrix requires sufficient memory to inverse the matrix. Secondly, there are several mathematical techniques are available to solve the inverse of a matrix. But in handling a large matrix, still I couldn't find any faster and accurate method which can solve this problem with less memory consumption as well.

Hi

i am doing my study on economic complexity. i need to solve its formula mathematically

can any one have its formulation?

i attach research paper regarding economic complexity

I have studied systems theory in the more complex mathematical version and have a handout in Dutch describing an organisation as a system with the primary process and two kinds of feedback loops. But that contsins no reference to official literature and none in English. Who can point out a useful source?

FEV1 is measured by spirometry and lung impedance are calculated by FOT/IOS methods. Do these methods have any mathematical relation? Can we interpret lung impedance by knowing FEV1?

In optimization problem often we use local optimum but is it global? Or are there any meta-heuristics algorithm to obtain global solution? If there any then what is the name of that algorithm and if possible how we can get that solution?

In Mathematics, delay differential equation is one type of differential equation in which the derivative of the unknown function at a certain time and stochastic differential equation is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution. Therefore, share your valuable ideas on "How to distinguish between Delay differential equation and Stochastic differential equation?"

I am looking for a mathematical relationship to approximate the location at which abutments start affecting the flow field or velocity field of the current. Basically the distance where the abutments starts to disrupt the flow.

Suppose there are 5 samples having different means (sample means). Statistical testing of hypothesis may lead to the result that the 5 sample means are equal. It is clear that the 5 sample means are not mathematically. However, they are equal statistically.

Does this fact lead to the necessity of framing of a definition of statistical equality (i.e. equality in statistical sense) ?

Thus the question is

"Is there necessity of framing of a definition of statistical equality (i.e. equality in statistical sense) ? "

Is anyone working, has worked, or knows about research/practice with using narratives or stories to teach mathematics at the undergraduate level (not for little children)?

I do not know What is a Mathematical Definition of Big Data?

Can you help me?

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.

I have a set a={x1,x2,x3}, b={y1,y2,y3} and c={z1,z2,z3}. X are financial variables from my dataset, Y and Z are financial variables from other dataset. Each value is in thousand dollar. I want to find which set (set b or set c) is closer to set a. So, I used the euclidean distance. But, the resulted distance is too big because the difference between value is thousand of dollar. Hence, I divided each distance with the mean of set a to make it smaller with range of 0-1:

Distance (b,a) = euclidean(b,a)/mean(a)

Distance (c,a) = euclidean(c,a)/mean(a)

I'm not sure if this is mathematically correct or not. Is there any better way?

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 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.

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

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