Results 31 to 40 of about 11,827,018 (250)
On third order rotatability [PDF]
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Draper, Norman R, Pukelsheim, Friedrich
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Third-order aberrations of pseudophakic eyes
The aberrations of pseudophakic eyes were analysed by third-order theory assuming thin intraocular lenses. Third-order aberrations with spherical surfaced lenses are quadratic functions of lens shape.
Atchison, David A.
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Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order
This paper aims to improve Hille oscillation criteria for the third-order functional dynamic equation p2(ξ)ϕγ2p1ξϕγ1yΔ(ξ)ΔΔ+a(ξ)ϕγy(g(ξ))=0, on an above-unbounded time scale T. The obtained results improve related contributions reported in the literature
Taher S. Hassan +5 more
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ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
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Binomial Transforms of the Third-Order Jacobsthal and Modified Third-Order Jacobsthal Polynomials
In this study, we define the binomial transforms of third-order Jacobsthal and modified third-order Jacobsthal polynomials. Further, the generating functions, Binet formulas and summation of these binomial transforms are found by recurrence relations ...
Gamaliel Morales
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Third order optical nonlinearity of graphene
We perform a perturbative calculation of the third order optical conductivities of doped graphene, using approximations valid around the Dirac points and neglecting effects due to scattering and electron–electron interactions.
J L Cheng, N Vermeulen, J E Sipe
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Fučı́k Spectrum for a Third Order Equation
The Fučík spectrum of the third order boundary value problem \[ y''' + \mu y^+ - \nu y^- = 0,\;y(0) = y'(0) = y(1) = 0 \tag{1} \] is investigated, i.e. the set of all \((\mu, \nu) \in \mathbb{R}^2\) where (1) has a nontrivial solution \(y\). The eigenvalues of (1) are the numbers \(\lambda\) for which \((\lambda, \lambda)\) belongs to the Fučík ...
GAUDENZI, Marcellino, PATRICH HABETS
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Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab
ABSTRACT Background Idiopathic multicentric Castleman disease (iMCD) is a potentially fatal immunologic disorder marked by widespread lymphadenopathy and inflammation. Siltuximab, an interleukin‐6 (IL‐6) inhibitor, is the only FDA‐approved treatment for adult patients with iMCD.
Bridget Austin +17 more
wiley +1 more source
Oscillation Conditions for Third-Order Delay Differential Equations with Neutral-Type Term
In this work, we adopted an approach similar to that of Chatzarakis’, by transforming the oscillation analysis of third-order differential equations into an equivalent first-order problem.
Rongrong Guo, Haifeng Tian
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ON A THIRD ORDER DIFFERENCE EQUATION
Summary: In this paper, the authors solve the difference equation \[ x_{n+1} =\frac{x_nx_{n-2}}{-ax_n + bx_{n-2}}, \quad n = 0, 1, \dots, \] where \(a\) and \(b\) are positive real numbers and the initial values \(x_{-2}, x_{-1}\) and \(x_0\) are real numbers.
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