Results 61 to 70 of about 1,008,358 (243)
On (k,p)-Fibonacci numbers and matrices [PDF]
In this paper, some relations between the powers of any matrices X satisfying the equation Xᵏ-pXᵏ⁻¹-(p-1)X-I=0 and (k,p)-Fibonacci numbers are established with ...
Sinan Karakaya +2 more
doaj +1 more source
ABSTRACT Background Platinum‐based chemotherapy is known to cause severe and debilitating hearing loss, but unlike cisplatin, the true incidence of carboplatin‐induced hearing loss remains unclear. We evaluated functional hearing outcomes in children receiving carboplatin to determine the incidence and severity of ototoxicity. Procedure We identified a
Aniket Chawla +6 more
wiley +1 more source
Estimating Matrix Condition Numbers [PDF]
In this note we study certain estimators for the condition number of a matrix which, given an $LU$ factorization of a matrix, are easily calculated. The main observations are that the choice of estimator is very norm-dependent, and that although some simple estimators are consistently bad, none is consistently best.
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Conditioning Theory for
The conditioning theory of the ML-weighted least squares and ML-weighted pseudoinverse problems is explored in this article. We begin by introducing three types of condition numbers for the ML-weighted pseudoinverse problem: normwise, mixed, and ...
Mahvish Samar, Xinzhong Zhu, Huiying Xu
doaj +1 more source
Re‐Irradiation in Pediatric Diffuse Midline Glioma: A Multi‐Institutional Retrospective Study
ABSTRACT Background Children with recurrent diffuse midline gliomas (DMGs) have limited therapeutic options at recurrence. Re‐irradiation (RT2) may be used at progression, but with uncertainty about the benefit. Methods We conducted a multi‐institutional retrospective study of children aged < 18 with DMG treated at three centers (Toronto, Canada ...
Ajay Thomas Alex +13 more
wiley +1 more source
Condition numbers of random matrices
The author derives upper and lower bounds differing by a constant multiple for the expectation of the condition number of random \(n\times n\) matrices in the \(L_ p\) norm. These bounds have been independently obtained by \textit{A. Edelman} [SIAM J. Matrix Anal. Appl. 9, No. 4, 543-560 (1988; Zbl 0678.15019)] and \textit{E.
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ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko +19 more
wiley +1 more source
ABSTRACT Results of COG ANBL1221 changed treatment paradigms for patients with relapsed/refractory neuroblastoma. Chemoimmunotherapy with irinotecan/temozolomide/dinutuximab is now used as both bridge therapy following suboptimal response to induction and as treatment in first relapse.
Elizabeth Sokol +6 more
wiley +1 more source
AbstractThe concept of a condition number has its origin in numerical analysis. It measures how much the output value of a function we wish to evaluate can change for a small change in the input argument. In this chapter, we discuss condition numbers in the context of metric algebraic geometry.
Paul Breiding +2 more
openaire +1 more source
A Conditional Law of Large Numbers
It is shown that, when conditional on a set of given average values, the frequency distribution of a series of independent random variables with a common finite distribution converges in probability to the distribution which has the maximum relative entropy for the given mean values.
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