Results 41 to 50 of about 1,000 (210)
On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]
Mathematica BohemicaWe consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis +3 more
doaj +1 more source
On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
wiley +1 more source
Solution of an odds inversion problem [PDF]
Notes on Number Theory and Discrete MathematicsConsider the problem of determining the possible numbers of balls of two different colors in an urn such that if two are drawn out at random, the odds that they are different colors are a given value. We present a general solution of this problem for all
Robert K. Moniot
doaj +1 more source
The Two Extremal Rays of Some Hyper–Kähler Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
wiley +1 more source
Some Congruence Properties of Pell\u27s Equation [PDF]
, 2009 In this thesis I will outline the impact of Pell\u27s equation on various branches of number theory, as well as some of the history.
Priddis, Nathan C.
core
Sustainable Development, EarlyView.ABSTRACT Over recent decades, action‐oriented research has gained prominence in co‐producing actionable knowledge to drive transformative change toward sustainability. However, further methodological developments are needed to support the transition to the application phase of such knowledge.
María D. López‐Rodríguez +7 more
wiley +1 more source
Pell Equation. I. Systematic classification of the solutions of the Pell equation [PDF]
, 2006 Let the smallest non-trivial solution of Pell equation, x^2-Dy^2=1, be denoted by (x_1, y_1). The Pell equations for D were systematically classified into several types with respect to the form of the polynomial relations (PR's) among (D, x_1, y_1).
アサモト, ノリコ +3 more
core
Integrating multimodal data and machine learning for entrepreneurship research
Strategic Entrepreneurship Journal, EarlyView.Abstract Research Summary Extant research in neuroscience suggests that human perception is multimodal in nature—we model the world integrating diverse data sources such as sound, images, taste, and smell. Working in a dynamic environment, entrepreneurs are expected to draw on multimodal inputs in their decision making.
Yash Raj Shrestha, Vivianna Fang He
wiley +1 more source
POLYNOMIAL PELL\u27S EQUATION [PDF]
, 2010 Polinomska Pellova enačba je enačba oblike P^2 - D Q^2 = 1, kjer je D dani polinom, P in Q pa sta neznana polinoma istih spremenljivk kot D in tudi njuni koeficienti so iz istega polja ali kolobarja kot koeficienti polinoma D.
Detela, Anita
core +1 more source
On the matrix negative Pell equation [PDF]
, 2009 Let N be a set of natural numbers and Z be a set of integers. Let M₂(Z) denotes the set of all 2x2 matrices with integer entries. We give necessary and suficient conditions for solvability of the matrix negative Pell equation (P) X² - dY² = -I with d ∈ N
Kurzydło, Izabela, Grytczuk, Aleksander
core +1 more source