use of continued Fractions but why continued fractions are neglected? pi gets recurring continued fraction expression and root two gets a finite....

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Is the axiom that one should be able identify a fleet one element from a set would change set theory and it's consequences in Mathematics ?

one can pick up a rational from set of reals. One can pick e from transcendental numbers between 2 and 3. What about a arbitrary proper subset of set of transcendental numbers

10 November 2018 4,679 0 View

What results do not survive if we replace the axiom of choice by the axiom that each infinite set has a countable subset ?

Dieuodene's celebrated treatise in first volume only restricts to this axiom. In Mathematics one only needs sets derived from N. for example Euclids geomtry one can define a point as an ordered...

09 October 2018 5,111 0 View

Should citation include author name ?

current practice in citation is cite by a number like [12] and in that number we find the name of author publication etc. Academics is still greatly underestimated. i wold like to start a...

01 February 2018 10,004 0 View

Product gauges in plane should be sufficient for fubini theorem , convergence theorems ?

dr lee peng yee and rydolf vyborny book describes gauges in the plane as a rectangle containing each point. a delta fine tagged net partition may not exist . As discussed in Mcleod. we need to...

31 December 2017 2,382 0 View

Can we have ZFC without axiom of separation and replacement for Maths ?

this is axiomatic set theory . these axioms are needed for set theory and not for mathematics. so can we avoid them since the involve use of predicate and property. will experts guide in detail....

09 October 2017 624 0 View

Does henstoc -kurzweil integral banach valued and in two variables includes riemann integral & its daniell extension ?

Suppose we consider Banach sp valued mappings and integration in several variables. 1) in general one can also define refinement integral . i m also aware that it does not make difference to hk...

04 May 2016 1,947 4 View

Is it really necessary to consider measurable banach space mappings?

What is needed is only scalar measurability that is measurability of

09 October 2014 6,434 7 View

What is the difference between mathematical R^4 space and physical 4D unit space?

We assume that the difference is huge and that it is not possible to compare the two spaces. The R^4 mathematical space considers time as an external controller and the space itself is immobile in...

10 August 2024 6,678 14 View

All math can be explained by iterator of code?

all math can be traversed by code? all math can be translate to code?

26 July 2024 9,530 0 View

Can we eliminate the stress singularity at the tip of the crack by manipulating the elastic constants?

The aim of the research here is to prevent the propagation of the crack in the fabricated elastic medium with useful applications.

25 July 2024 9,976 3 View

How can I extract the mathematical equation from existing Neural Network Model?

There exists a neural network model designed to predict a specific output, detailed in a published article. The model comprises 14 inputs, each normalized with minimum and maximum parameters...

14 July 2024 2,714 3 View

Does anyone know, any conference related to "mathematical data compression" topic?

Please suggest me, I want to present my research work.

13 July 2024 1,461 1 View

How i can calculate mathematically COD concentration if i add 1gr from glucose to 1 L distilled water ?

how i can calculate mathematically COD concentration if i add 1gr from glucose to 1 L distilled water

08 July 2024 9,104 2 View

Interested in Postdoc position in Mathematics at IMI-BAS BG?

Computational topology of solitons The well-established research area of algebraic topology currently goes interdisciplinary with computer science in many directions. The Topological Data Analysis...

08 July 2024 2,816 0 View

Reality Bounded VS Mathematical Bounded toward interpreting mathematic solution?

btw have u ever know about math bounded and reality bounded? for example it happen when student interpret the solution of problem toward mathematics. if you have experience or research about that,...

03 July 2024 6,631 2 View

My new vision on “time duality” in heat and wave equations. How can we catch their solutions and qualitative properties?

Greetings mathematicians and physicists, As we know, the idea of assuming a higher space dimension than the natural 3 dimension is effective in solving many physical and mathematical...

29 June 2024 9,220 6 View

A new interesting geometry problem. Can you find the measure of angle?

In the isosceles triangle ABC (AC=AB), the angle at the vertex is 20°. Point D is chosen on the side AB such that AD=BC. Find the measure of angle CDB.

23 June 2024 7,541 8 View

Ioannis Karatsompanis

Here is my interpretation of your question:

"Continued fractions are very useful and as a novice I'm very impressed playing around with them. Hey, we can find patterns even on pi, wikipedia says! And periodic expansion of sqrt(2) is a miracle! Why nobody shares my enthusiasm?"

Correct?

Dr. Anil Anant Pedgaonkar

Almost correct. One can have a limked list for representation and then one can implement real arithmetic. Atleast for known real num bers like sqrt(2), pi and e we may get correct and exact answers. So instaed of using decimal representation one shud try to use continued fraction representation in computing.

Patrick Solé

there is no pattern to pi continued fraction

http://mathworld.wolfram.com/PiContinuedFraction.html

I am not restricting continued fraction to simple continued fraction. Please take my coment seriously. We may be able to use exact computation for pi, etc continued fractions and linkd data structures using