What is the Exact Definition of Mathematics?

More Dharmendra Kumar Yadav's questions See All

Is there any shortest definition of Mathematics....?

Mathematics is the queen of all sciences. Can it be defined in a single line?

01 January 1970 5,872 22 View

How Many Number Line Do Exist in Mathematics...?

There are three number line in mathematics: 1. Real Number Line. 2. Imaginary Number Line. 3. Circular Number Line. 1 subset 2 subset 3.

01 January 1970 933 6 View

What is circular number line..?

Circular number line is a three dimensional concept of a line, which consists of both real number line and imaginary number line. To read in detail: click the paper attached below.

01 January 1970 8,241 0 View

Resistor definition in Piezoelectric bimorph with ANSYS workbench

Hello, good day! I am trying to simulate similar bimorph piezoelectric harvester with below commands. However, the output power doesn't change with resistor value. Please help to find the reason. ET,10,CIRCU94,0 !SET UP RESISTOR R,1,100000 !RESISTANCE VALUE TYPE,10 !SET ELEMENT TYPE E,1,2 !CREATE RESISTOR BETWEEN NODES 1 AND 2 Thanks in advance Regards,

02 March 2021 0 0 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

Can I ask did any good platform or journals for learning the calcluation on the reference governors and command governor?

Recently I face some problems with the mathematical ( calculation) on the reference governor and command governor, so I need some help from you all to get which platform or journal can let me...

23 February 2021 7,746 2 View

Can't recognize exact phase and PDF card no of Silicon carbide in XRD?

We have deposited silicon carbide on carbon substrate using one PVD technique. Due to amorphous behavior of SiC at low deposition temperature, we performed heat treatment of those films at...

22 February 2021 2,072 3 View

Special issue on PLS-SEM in Mathematics. Are you interested?

21 February 2021 5,601 3 View

What is the better software for approximation of 3D surface with equations?

I have a massive of x, y, z coordinates of 2D surface in 3D space, which builded in Ansys HFSS or AutoCAD. How can I get the analitical aproximation of this surface by formulas?

21 February 2021 3,444 7 View

How can I simulate the optical absorption spectrum of a biomaterial (like DNA or protein) in COMSOL?

I need to simulate the optical properties of a biomaterial, namely DNA, in COMSOL. Basically I need to simulate the IR absorption spectrum of a cylinder filled with a 'concentration' of DNA. I am...

21 February 2021 3,043 3 View

How can I obtain a sine function along a path with known equation?

I have a symmetric airfoil with known equation. Now a sine function passes along the airfoil equation like following figure. I want to find the sine function in (x,y) coordinate system.

17 February 2021 1,594 12 View

Does learning mathematics exclusively improve cognitive abilities?

Teaching Mathematics at school to all students is commonly justified by the opinion that it improves their problem-solving skills and "makes them smarter" (whichever measure is implied by this). I...

15 February 2021 7,391 7 View

Which and How to use teaching strategies and procedures to effectively integrate the four skills while teaching English Language Online?

As an inexperienced teacher in the field of online teaching, I have the fear of unconsciously ignoring one of the skills while focusing on not ignoring the other! Therefore, I wish to make use of...

09 February 2021 5,101 4 View

Ashis Ranjan Bandyopadhyay

This seems to be an interesting question and needs attention from experts in the concerned field.

Dejenie A. Lakew

Mathematics is the study of abstract structures that are established from fundamental axioms of truth of reality, using logic and reason. It is these properties that enable mathematics to study nature and in most cases it is said to be the language of nature as well. When the abstract variables represent behaviors of natural phenomena, we have what is called applied mathematics. Today applied mathematics and pure mathematics do have a wide overlap, each enables/nourishes the other to grow in every dimension. Besides mathematics can be seen from not only its application but from its elegance and beauty/aesthetic. I have attached my collection of artistic images at my website and also in the American mathematical society

http://www.dejeniea.com/

http://www.ams.org/mathimagery/thumbnails.php?album=22

Albert Manfredi

If I read that correctly enough, the one-sentence definition was:

Mathematics is a set of assumptions, its properties and applications.

Some might argue, other fields, such as philosophy, do the same thing!

Somewhere in the definition, the idea of supporting precise quantification needs to appear, I would think. This is what gives math its strength. The precision that it offers, as opposed to vague arguments using just words, that are subject to individual interpretation and biases. I'm not saying that math is only numbers. I'm saying that math has to be able to support precise quantities - numbers.

Math is a different language. It's not uncommon for some concepts to be easier to express in one language than they might be in another. Anything that requires precision, quantification, requires the language of mathematics.

So in short, I would not limit the definition to just explaining the structure of a proof or theorem, though, because to me, those are structures for making an argument. Such arguments may use math, or they may not. Any argument you can name will include assumptions and properties, no?

Imre Horvath

Design is also a set of assumptions, its properties and applications......