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adityaguharoy
Archives
- April 2021
Shifting to wordpress (scoutmathematics.wordpress.com)
+ February 2021
Moving to wordpress
+ March 2020
Wish everyone safety from Covid-19
+ March 2018
Convex and concave functions in Real numbers -- Basic 1
+ February 2018
Relaxing the to-be satisfied conditions for Squeezing Monotone sequences
1. Algebra and sigma algebra on a set
+ January 2018
Broken Stick Problem with 3 pieces forming a triangle
Ramsey problem: 3 people in 6 pairwise knowing or strangers
Happy New Year 2018 wishes
+ December 2017
Christmas is coming -- Advance wishes
a^x> = 1+x for all real numbers means a=e
+ November 2017
For invertible matrix A if B is (A^2)^-1 then AB=BA
Kobayashi's theorem(on prime factors of elements of set)
A Theorem of "prime form"
+ September 2017
Fish gallery
Search function of AoPS
A puzzle around 17 and four primes
Diophantus identity
Candido's identity
At least one of G or G' is connected for simple G on finite
If G is self complementary on n vertices then 4|n(n-1)
No continuous bijection between (a,b) and [a,b]
Abel's partial summation identity for real sequences
AB invertible then A has right inverse B has left inverse
Gauss Jordan Elimination method on matrices
A & B nonzero n x n matrices, AB=0 means A,B non invertible
For matrices A,B in M_n(R) AB=I_n if and only if BA=I_n
+ August 2017
The Twelvefold Way
Calls to find gcd by Euclid is max for consecutive Fibonacci
+ July 2017
Constructing a function differentiable only at one point (0)
A and B are bijective implies A^2 and B^2 are bijective sets
Locally finite sets
Korselt Criterion
Interesting Reverse Relation under square between 12,&,21
Finding an interesting number
gcd(a^n,b^n)=(gcd(a,b))^n
+ June 2017
Zsigmondy's theorem
A brilliant creation of Lonesan sir
Lonesan sir's work
Explaining what a congruent to b modulo c means for c not 0
BOTTEMA Maple Software
Apery's constant
If x+a/x+b is rational, x irrational & a,b rational then a=b
Zeckendorf theorem
Pythagoras
a,b,c form acute triangle iff a^2,b^2,c^2 form triangle
a^n,b^n,c^n are always sides of triangle & a<=b<=c then b=c
Chess Puzzles (Mate in 6)
Defining ordered pair and studying from and the definition
Fiber (in mathematics) has two different meanings
A simple bijective function from R to (0,1)
Exists no continuous function f:R to R mapping QtoR/Q&R/QtoQ
Sophie Germain identity (factorization)
Cauchy-Bunyakovsky-Schwartz inequality for integrals
w^3=1,w nonreal & a,b,c real & aw^2+bw+c=0 implies a=b=c
sum_cyc((sin A)/(sin B),(A)/(B),(tan A)/(tan B))A,B,C acute
Bertrand's postulate
The Pythagorean Tree
The Rotating Barnstar.
+ May 2017
Cauchy Condensation Test theorem for convergence of series
The diophantine equation (x^2-n^2y^2=1) in integers
Non existence of function f(xy)=x+y for every real x,y
22/7 > π
+ April 2017
Non existence of function f(x+y)=xy for every x,y in real
Primes checked modulo 6
Weirestrass function (continuous but not differentiable)
259*39*(any number)=numbernumber..... (interesting)
The inequality motto (By BQ)
Function continuous at only the points x_1,x_2,.....,x_n
Solving the equation n(a^2)=b^2 ; n is not a perfect square
Number of Real solution in x of eqn:a^x+b^x=c^x(0<a<b<c)
P(P(x))=x implies P(x)=x
Easy floor function inequality
Hermite's identity
Ex Falso Quodlibet
Koch Curve
Sierpinski triangle
Combinatorial Arguments(O(A)<O(B) implies N(A)<N(B))
Trigonometry equation(sine^(odd)(x)+cosine^(odd)(x)=1)
Volterra's function(diff..derivative not Riemann integrable)
A nice Bolzano Weirestrass convergence ~ Example 1
VJIMC 2017, Category I, Problem 1 : Functional Equation
2017 HMMT ~ Algebra/NT #3: Functional Equation
Sqing inequality
Differentiability implies Continuity of Real Valued Function
Magma (algebra)
+ March 2017
2013 PUMAC team 10
Finding a limit
Fishing with nemo and dory
Applying ~ Real numbers NOT bijective to Rational numbers
A combinatorial counting (B2-2004)
f(x) has degree 2 and f(nonreal)=nonreal then f has degree 1
Polynomial as difference of two monotone polynomials
+ February 2017
Polynomial Approximation to Continuous functions ~Example 1
Cosine , sine , tangent of rational multiples of &pi;
+ January 2017
Stronger Pigeonhole Principle
Willy's Lemma
Content of a polynomial -- introduced
+ December 2016
Rules of Propositional Calculus
FRT FRS of degree 2
+ April 2016
Sequence
Shouts
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  • hi guys $~~~$

    by Yiyj1, Apr 9, 2025, 7:25 AM

  • You will be remembered

    by giangtruong13, Feb 26, 2025, 3:38 PM

  • 2025 shout!

    by just_a_math_girl, Jan 12, 2025, 7:25 AM

  • 2024 shout

    by bachkieu, Aug 22, 2024, 12:52 AM

  • helooooooooooo

    by owenccc, Sep 27, 2023, 12:59 AM

  • hullo :<

    by gracemoon124, Jul 14, 2023, 2:33 AM

  • hello $ $

    by LeoLionTank, Feb 17, 2023, 9:02 PM

  • Halo thear

    by HoRI_DA_GRe8, Oct 18, 2022, 7:44 AM

  • hi!!
    just found this and I can't wait to read more!
    so happy to have found this blog!

    by Morrigan_Black, Jan 28, 2022, 1:05 PM

  • still waiting for the mathlinks camp lol

    by CinarArslan, Jan 9, 2022, 1:55 PM

  • hello :D

    by CyclicISLscelesTrapezoid, Nov 29, 2021, 6:36 PM

  • Right below the shout box it says how many it has.

    by pith0n, May 11, 2021, 5:08 AM

  • Oh really the blog has 100 posts! I never counted the number of posts here. If I get some free time I will create a new page on my wordpress website and there I will post all the contents of this blog. So, make sure that you check the wordpress site.

    by adityaguharoy, Mar 21, 2021, 2:58 PM

  • Nice blog!

    by DCode10, Mar 10, 2021, 7:00 PM

  • Hi adityaguharoy! Nice blog!

    by masadca, Feb 4, 2021, 9:19 PM

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About Owner
  • Posts: 4657
  • Joined: Apr 29, 2014
Blog Stats
  • Blog created: Apr 26, 2016
  • Total entries: 101
  • Total visits: 27450
  • Total comments: 61
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