Results 41 to 50 of about 20,503 (203)

Generalized Pell Equations for 2 × 2 Matrices

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper we consider the solutions of the generalized matrix Pell equations X2 − dY2 = cI, where X and Y are 2 × 2 matrices over ℤ, d is a non-zero (positive or negative) square-free integer, c is an arbitrary integer and I is the 2 × 2 identity ...
Cohen Boaz
doaj   +1 more source

Temperature‐dependent shear behavior and constitutive model of the rock–concrete interface

Deep Underground Science and Engineering, EarlyView.
Shear tests were conducted to investigate the temperature‐dependent shear behavior of the rock–concrete interface, highlighting the interaction between the surrounding rock and the lining during tunnel fires. Under experimental conditions, concrete exhibited greater temperature sensitivity than rock, with the shear fracture surface transitioning from ...
Hongbin Chen, Yujing Jiang, Rui Pan, Bin Wang, Sunhao Zhang, Jinge Zhang, Xianzhuang Ma   +6 more
wiley   +1 more source

Solution of an odds inversion problem [PDF]

Notes on Number Theory and Discrete Mathematics
Consider 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

On The Negative Pell Equation [PDF]

, 2017
The negative pell equation represented by the binary quadratic equationnbspnbsp is analyzed for its non-zero distinct integer solutions. A few interesting relations among the solutions are presented.
Gopalan, M. A. (M), Krithika, V. (V), Vijayasankar, A. (A)   +2 more
core  

Mental Health Conditions and Incident Cancer: A Prospective Cohort Study of 402,255 UK Biobank Participants

International Journal of Cancer, EarlyView.
Evidence suggests a potential association between mental health conditions and cancer risk, yet previous studies were limited by small samples and the use of self‐reported measures. Using data from the UK Biobank's large‐scale prospective population cohort over a median follow‐up of 13.4 years, this analysis demonstrates associations between depression,
Mohammed Sherif Amin, Solange Parra‐Soto, Ziyi Zhou, Shinya Nakada, Ike Dhiah Rochmawati, Carlos Celis‐Morales, Nancy Meligy, Jill P. Pell, Frederick K. Ho   +8 more
wiley   +1 more source

When are Multiples of Polygonal Numbers again Polygonal Numbers?

, 2018
Euler showed that there are infinitely many triangular numbers that are three times other triangular numbers. In general, it is an easy consequence of the Pell equation that for a given square-free m > 1, the relation P=mP' is satisfied by infinitely ...
Chahal, Jasbir S., Griffin, Michael, Priddis, Nathan   +2 more
core   +1 more source

When Does Top Management Team Diversity Matter in Large Organizations?

Journal of Organizational Behavior, EarlyView.
ABSTRACT Top management teams (TMTs) drive strategic leadership, but there is little clarity on when the composition of these upper echelons most impacts organization performance. Drawing from the categorization‐elaboration model, we study an 18‐year sample of approximately 4500 organizations and over 32 000 executives and find a positive relationship ...
Frances Fabian, James M. Plečnik, Shan Wang   +2 more
wiley   +1 more source

Common values of two k-generalized Pell sequences [PDF]

Notes on Number Theory and Discrete Mathematics
Let k≥2 and let (Pₙ⁽ᵏ⁾)ₙ≥₂₋ₖ be the k-generalized Pell sequence defined by Pₙ⁽ᵏ⁾=2Pₙ₋₁⁽ᵏ⁾+2Pₙ₋₂⁽ᵏ⁾+...+2Pₙ₋ₖ⁽ᵏ⁾ for n≥2 with initial conditions P₋₍ₖ₋₂₎⁽ᵏ⁾=P₋₍ₖ₋₃₎⁽ᵏ⁾=...=P₋₁⁽ᵏ⁾=P₀⁽ᵏ⁾=0, and P₁⁽ᵏ⁾=1.
Zafer Şiar, Florian Luca, Faith Shadow Zottor   +2 more
doaj   +1 more source

Transition pathways from vulnerability to viability of small‐scale fisheries in Africa and Asia

People and Nature, EarlyView.
Abstract This perspective paper examines transition pathways that move small‐scale fisheries from vulnerability towards viability. We understand ‘vulnerability to viability transition pathways’ as integrative and one that extends beyond economic concerns to include social, political, cultural and ecological aspects of small‐scale fisheries.
Ella‐Kari Muhl, Derek Armitage, Prateep Kumar Nayak, Sisir Pradhan, Maha Abdelbaset, Denis Aheto, Richard Adade, Shehu Latunji Akintola, Evans Kwasi Arizi, Essinam Attipoe, Jessica Blythe, Alida Bundy, Ratana Chuenpagdee, Anuradha Choudry, Basanta Kumar Das, Chitra Devi, Kafayat Fakoya, Mafaniso Hara, Shahriyer Hossain, Moeniba Isaacs, Gazi Md Nurul Islam, Mohammad Mahmudal Islam, Hapsari Ayu Kusumawardhani, Kungwan Junrashote, Yinji Li, Moffat Manase, Ahmadou Aly Mbaye, Ishmael Kosamu, Jenia Mukherjee, Tamano Namikawa, Friday Njaya, Justice Odoi, Deborah Prado, Emon Rahman, Qurban Rouhani, Md Razin Saleh Alam, Aliou Sall, Clément Sambou, Revarunan Sammogam, Alassane Sarr, Khady Yama Sarr, Suvaluck Satumanatpan, Samiya Ahmed Selim, Indah Susilowati, Vannessa Warren, Julius Francis Woiso, Batuli Mohammed Yahya   +46 more
wiley   +1 more source

Dyonic black hole degeneracies in N $$ \mathcal{N} $$ = 4 string theory from Dabholkar-Harvey degeneracies

Journal of High Energy Physics, 2020
The degeneracies of single-centered dyonic 1 4 $$ \frac{1}{4} $$ -BPS black holes (BH) in Type II string theory on K3×T 2 are known to be coefficients of certain mock Jacobi forms arising from the Igusa cusp form Φ10.
Abhishek Chowdhury, Abhiram Kidambi, Sameer Murthy, Valentin Reys, Timm Wrase   +4 more
doaj   +1 more source