Results 71 to 80 of about 1,177 (152)
A note on Deaconescu’s conjecture
Hasanalizade [5] studied Deaconescu’s conjecture for positive composite integer n. A positive composite integer n ≥ 4 is said to be a Deaconescu number if S2(n) | ϕ(n) − 1.
Mandal Sagar
doaj +1 more source
Fisher's Ideas and the Design of Field Experiments in Agronomy and Plant Breeding
ABSTRACT R. A. Fisher was one of the greatest scientists of the last century. He made many groundbreaking contributions, so many indeed that it seems almost impossible to list all of them. His revolutionary contributions to the design of experiments can mostly be traced back to the early part of his academic career, and they are inextricably linked to ...
Hans‐Peter Piepho
wiley +1 more source
ABSTRACT Purpose To enable flexible dynamic and DCE MRI with low acoustic noise and high spatiotemporal resolution using zero echo time (ZTE) imaging. Methods This work proposes Arc‐ZTE, a technique in which the readout gradients of ZTE are continuously‐slewed to form arcs in k‐space that are sequentially rotated to yield an incoherent trajectory ...
Shreya Ramachandran +5 more
wiley +1 more source
Extremal orders of some functions connected to regular integers modulo n
Let V (n) denote the number of positive regular integers (mod n) less than or equal to n. We give extremal orders of , , , , where σ(n), ψ(n) are the sum-of-divisors function and the Dedekind function, respectively. We also give extremal orders for and ,
Brăduţ Apostol
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Abstract Statistical hypothesis testing (SHT) is widely employed across numerous scientific disciplines, and a clear understanding of its underlying logic is essential for the broader scientific community. Here, drawing upon both epistemological and statistical perspectives, we aim to clarify—primarily for educational purposes—the logical relationship ...
Maria Cristina Amoretti +1 more
wiley +1 more source
We construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow ...
Congling Qiu, Yujie Xu
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Panel Sequential Group Estimation of Interactive Effects Models
ABSTRACTThis paper proposes a novel procedure to identify latent groups in the slopes of panel data models with interactive effects. The method is straightforward to apply and relies only on closed‐form estimators when evaluating the objective function. This achieves substantial computational gains compared to alternative non‐linear methods and enables
Ignace De Vos, Joakim Westerlund
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A tropical version of Martens' theorem for metric graphs
Abstract We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill–Noether rank of a tropical curve. We recall Coppens' counterexample of Martens‐special chain of cycles, and we generalize the construction defining another class of graphs, Martens‐special trees of cycles, for which the conjecture does not ...
Giusi Capobianco, Angelina Zheng
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On the maximum likelihood degree of Gaussian graphical models
Abstract In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML‐degree behaves monotonically on induced subgraphs. Furthermore, we complete a missing argument that the ML‐degree of the nth$n{\rm th}$ cycle is larger than 1 for any n⩾4$n\geqslant 4$, therefore completing the characterization ...
Carlos Améndola +3 more
wiley +1 more source
Mixed motives and linear forms in the Catalan constant
Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
wiley +1 more source

