Hobbymaths

Random thoughts about Mathematics

Monday, August 8, 2016

Hobbymath's wanderings #15

Examples of finding remainders using Wilson's theorem.

Bernouilli's inequality.

Journal of Integers Sequences.

Mersenne primes (Wiki).

Generalizations of Fibonacci numbers.

Bertrand-Chebyshev theorem (Proof Wiki).

Ramanujan's proof of Bertrand's postulate.

Green-Tao theorem (Wikipedia).

Pisot-Vijayaraghavan number (Wikipedia).

Practical number (Wikipedia).

Root of Unity (Wikipedia).

A prime-representing function (W. H. Mills, Bulletin of the American Mathematical Society).

On the interval containing at least one prime number (Jitsuro Nagura).

Chebyshev functions (Wikipedia).

Albert Ingham (Wikipedia).

A remarkable collection of Babylonian mathematical texts (pdf).

Brocard's conjecture (Wiki).

Buffon's needle (Wiki).

Group Orbit.

Fountain problems.

"Coins in a fountain" problems.
Posted by hobbymaths at 9:50 PM No comments:
Labels: Bernouilli's inequality, Bertrand-Chebyshev theorem, fibonacci, Journal of Integer Sequences, Pisot, prime-representing function, Ramanujan, Root of unity, Wilson's theorem
Newer Posts Older Posts Home
Subscribe to: Posts (Atom)
profile for iadvd at Mathematics Stack Exchange, Q&A for people studying math at any level and professionals in related fields
Follow me on ResearchGate

Popular Posts

  • A binary plot of the Catalan numbers and the pseudo-Fibonacci series that can be found inside.
    I was trying to find in Internet a binary plot of the Catalan numbers , and I did not find anyone... so I did it myself, and here it is! ...
  • Visualizing the patterns in the sets of complex and real roots of quadratic and cubic equations
    This is an extension of a question I did at MSE: " What methods are known to visualize patterns in the set of real roots of quadratic ...
  • About the similarities between the patterns found on the Complex Division and some Quasicrystal diffraction patterns
    As the brilliant and wise professor William Thurston said : "Mathematics is an art of human understanding. … Our brains are ...
  • Playing with the Chaos Game: non-Euclidean Sierpinski attractor in spherical coordinates
    In my former post about The Chaos Game I did a non-Euclidean Sierpinski attractor by using polar coordinates in the XY plane (2D). Now I ...
  • Euler's Totient function statement proposal
    While I was learning about Euler's Totien function , I found the book "Mathematical Problems, 1980-1984" By Stanley Rabinowit...
  • Multifractals in the first occurrence of each k = {0,1,2,3,4,5,6,7,8,9} in the values of f(n)=sqrt(n)−trunc(sqrt(n))
    Learning how to generate the Mandelbrot set , I came across the definition of the "escape condition" which is the one that decide...
  • Fibonacci - Catalan deterministic prime number sieve
    This text is related with the following topics: # Elementary number theory # - Combinatorial Number Theory # -- Sieve methods (Fibo...
  • Möbius function two-dimensional (pseudo)random walk vs random walks
    Playing with random walks is quite fascinating, in this case instead of using a random generator I have applied the Möbius function to dec...
  • How to build a projection (Schlegel diagram) of a tesseract, and show a four-dimensional point inside it
    This is an explanation about how to build a projection ( Schlegel diagram ) of a tesseract , and to show a point inside it (this is a mirro...
  • The Chaos Game in polar coordinates: a nice non-Euclidean Sierpinski attractor
    I am learning the basic concepts about the Chaos Game (I did a previous question about the same topic at MSE here ), the method to create ...

Blog Archive

  • ►  2019 (1)
    • ►  October (1)
  • ►  2017 (21)
    • ►  December (2)
    • ►  November (4)
    • ►  October (2)
    • ►  September (3)
    • ►  August (2)
    • ►  April (3)
    • ►  March (1)
    • ►  February (4)
  • ▼  2016 (12)
    • ►  October (1)
    • ►  September (2)
    • ▼  August (1)
      • Hobbymath's wanderings #15
    • ►  July (2)
    • ►  April (2)
    • ►  February (1)
    • ►  January (3)
  • ►  2015 (39)
    • ►  December (3)
    • ►  October (2)
    • ►  September (5)
    • ►  August (3)
    • ►  July (7)
    • ►  June (2)
    • ►  May (4)
    • ►  April (3)
    • ►  March (5)
    • ►  February (5)

Tags

visualization prime numbers complex numbers fibonacci fractals OEIS dynamical systems symmetry the Chaos Game Python complex dynamics fractalic patterns projection simulation tesseract 4-tuples 4D Modular arithmetic Multifractals Sierpinski chaos-theory clusters maths pattern recognition patterns spiral Catalan numbers Euler Primality tests Pseudo-fibonacci algorithm binary plot cartesian coordinates complex division complex domain coloring complex functions discrete-time dynamical systems glow glowing links number theory orbits simulator polar coordinates polynomials projective geometry pseudoprimes sequences and series start-like patterns Barnsley Bézout's identity Chladni Computational number theory Goldbach's conjecture Goldbach's partition Mills' constant Penrose tiling Root of unity Schlegel diagram Sierpinski attractor Topology Voronoi Diagrams Wolfram bioluminiscence cellular automata chaos congruences diffraction diffraction patterns digamma function extended Euclidean algorithm fractal manifolds partial randomness prime-representing function quasicrystals real roots spherical coordinates square numbers strange attractor 1D cellular automata 3D 88 strange attractor A Mathematician's Miscellany Abelian group Barnsley Fern Bernouilli's inequality Bertrand's postulate Bertrand-Chebyshev theorem Boundary Brahmagupta-Fibonacci identity Brower Fixed-point theorem Bruns's constant Bézout Cantor Carmichael function Catalan primality sieve Chebyshev's bias Chinese Remainder Chinese Remainder Theorem Collatz conjecture Dedekind Erdős Escape condition Euclidean Algorithm Euler formula Euler's "Lucky" numbers Euler's Theorem Euler's Totient function Euler's identity Fermat Fermat's Little theorem Fibonacci primality sieve Fixed-point theorem Fortunate numbers Fractal sequences GNU GMP Galois theory Gamma function Gauss Genus Goldbach Graphviz Group Hamiltonian path Hardy-Littlewood Harmonic series Heegner Hermite Heronian triangle Highly Composite IFS Ingham Integer sequences J.E.Littlewood Journal of Integer Sequences Julia set Klein bottle Kronecker delta function L-system Lambert W function Lanczos approximation Langrange polynomial LiDAR Lloyd's algorithm Manifold MathJax Mersenne numbers Minkowski Modular form Modular group Moiré pattern Möbius function N-body simulation PARI/GP Pascal's triangle Pascal's triangle mod 2 Pell's equations Phibonacci numbers Pisano Pisano period Pisot Prime ideal Prime number generator function Quadratic integer Quaternions Ramanujan Random walks Real Projective Plane Riemann hypothesis Ring SN Computer Science Siegel zeros Smarandache Spouge's approximation Springer Strong Law of Small Numbers Superstring theory Surface Tetration Totient Totient function Wilson's theorem air dancer algebraic topology autostereogram batrachion billiards binomial coefficients biography brownian motion cardioid circle method complex maps complex roots conformal map congruences path conjecture conjectures constant constants convolution coordinate systems coprimes criticality cubic equations cyclic groups derivative deterministic primality sieve discrete map discrete-time dodecahedron equations experimental mathematics factorial function factorials fluid dynamics fractions galaxy gamma funcion gcd genetic programming gluing diagrams gmpy2 graphs gravity hexagon high state holomorphic function hyperchaos hypercube inequalities infinite descent journal article lcm least action low state magic square multiplicative inverse function. multiprocessing natural density non-Euclidean order p-adic paper pattern generation type pentagon plate trick plottings primality sieve prime gap primitive roots primitive roots modulo n primitive roots modulo p primorials pseudorandom publication puzzle q-Harmonic series quadratic equations recreational mathematics refinement remainder reset condition roots of unity rule 30 rule 90 sandpile model self-replication sexy primes sieve skydancer smoke sophomore's dream square square root statement stirling's approximation strange attractors subset problem subset sum problem substitution system the circle method thick smoke three-torus transform trefoil knot triangle trigonometric functions tube man turbulence twin primes
Awesome Inc. theme. Powered by Blogger.