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### Oscillation of second-order half-linear difference equations

E. Thandapani, K. Ravi
<span title="">2000</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/deqidnohqjdu7gsln5vdm6obre" style="color: black;">Applied Mathematics Letters</a> </i> &nbsp;
Some new oscillation criteria are obtained for the second-order half-linear difference equation A (pn(Axn) a) + qnx~+ 1 = 0, n = 0, 1, 2 ..... where a > 0 is a ratio of odd positive integers.  ...  Many of these approaches employ Riccati equations of various types to obtain criteria, which guarantee that any nontrivial solution is oscillatory or nonoscillatory.  ...  Now summing the equation (6) , we have 0 )> EAvi = Vnk+l --Vn~ = E qi + [ llc~ llv~'~ w " i=n~ i=n~ t, pi -V i ) i~nk As nk+ 1 ~ 00, we obtain (6) Summing (9) I /c~ -~ E ---~-~ <-E 1/c• ' Un+I  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0893-9659(99)00163-9">doi:10.1016/s0893-9659(99)00163-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wxy64ylfkrbdpbreix5jmorahy">fatcat:wxy64ylfkrbdpbreix5jmorahy</a> </span>
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### Shakedown in frictional contact problems for the continuum

James R. Barber, Anders Klarbring, Michele Ciavarella
<span title="">2008</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/l6nfkzqo4jbo7lolizb6emzlsu" style="color: black;">Comptes rendus. Mecanique</a> </i> &nbsp;
This condition is satisfied for the contact of two half spaces, or of a rigid body with a half space if Dundurs' constant β = 0.  ...  It is also satisfied for the contact of two symmetric bodies of similar materials at the plane of symmetry. To cite this article: J.R. Barber et al., C. R. Mecanique 336 (2008).  ...  It is clear from Fig. 1 that this requires thatṡ · (r − r) > 0 and hence that the integrand of (13) is negative or zero for all (x, y).  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.crme.2007.10.013">doi:10.1016/j.crme.2007.10.013</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5rn2i6cybbb4vdemi7lhp2y7rm">fatcat:5rn2i6cybbb4vdemi7lhp2y7rm</a> </span>
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### Page 437 of Mathematical Reviews Vol. 11, Issue 6 [page]

<span title="">1950</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
The system of linear differential equations x,’ = "P_,aax:, t=1, ---,m, is said to be of type (*) if as t~, x,(t)>C,, i=1, ---,m, where C; are constants and moreover there is a solution corresponding to  ...  , the right-hand member of (1) being treated as a known function.  ...
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### On moment sequences and renewal sequences

Roger A Horn
<span title="">1970</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7a65khxirfbfljbnqng5zzeslu" style="color: black;">Journal of Mathematical Analysis and Applications</a> </i> &nbsp;
or map the upper half plane in to itself.  ...  If {un} is a renewal sequence, then 0 < II, < 1 for all n = 0, 1, 2,... and so f (z) and U(z) are regular for / z 1 < 1.  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0022-247x(70)90123-x">doi:10.1016/0022-247x(70)90123-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2rrbli7gm5b55jifckv5xnk2ta">fatcat:2rrbli7gm5b55jifckv5xnk2ta</a> </span>
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### Half-Gain Tuning for Active Disturbance Rejection Control [article]

Gernot Herbst, Arne-Jens Hempel, Thomas Göhrt, Stefan Streif
<span title="2020-03-09">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
It is proved that the proposed tuning gains, while rooted in the analytical solution of an algebraic Riccati equation, can always be obtained from a bandwidth parameterization design by simply halving  ...  A new tuning rule is introduced for linear active disturbance rejection control (ADRC), which results in similar closed-loop dynamics as the commonly employed bandwidth parameterization design, but with  ...  The rate of decay α is the only design parameter of this method: V = −αV with α > 0 and V = x T P x. (8) With a plant as in (3) : V = ∂V ∂x Tẋ = 2x T P (Ax + bu) = x T A T P + P A x + 2x T P bu = −αx  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2003.03986v1">arXiv:2003.03986v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wnza37kca5b47oway6jaiv4jxe">fatcat:wnza37kca5b47oway6jaiv4jxe</a> </span>
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### The depth of tranches in $\lambda$-dendroids

Lee Mohler
<span title="1986-04-01">1986</span> <i title="American Mathematical Society (AMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a64sw4kcsveajhudnssdwrwvze" style="color: black;">Proceedings of the American Mathematical Society</a> </i> &nbsp;
By generalizing the definitions, we obtain the same result for A-dendroids. We also answer, for chainable continua, a related question of Illiadis.  ...  Thomas, Jr. has asked whether, for a given continuum C, there is a countable ordinal bound on the length of all such nests {T'a} in C. We answer Thomas's question in the affirmative.  ...  La and Ra are both half-tranches of [xa,s] (or similarly, both are half-tranches of [s,ya]).  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1090/s0002-9939-1986-0826508-5">doi:10.1090/s0002-9939-1986-0826508-5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bkuqepb4zva6bah7ipnhdwlt4m">fatcat:bkuqepb4zva6bah7ipnhdwlt4m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180724214056/http://www.ams.org/journals/proc/1986-096-04/S0002-9939-1986-0826508-5/S0002-9939-1986-0826508-5.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/53/a3/53a3768e5a703a5c45070e025d521262e8d0b7a9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1090/s0002-9939-1986-0826508-5"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

### A Technic for Cross-Calibration of X-Ray Units Utilizing Half-Value-Layer Determinations

Leon Pape, S. Baker, Hyman L. Gildenhorn
<span title="">1961</span> <i title="Radiological Society of North America (RSNA)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6go2jt6u45cpxdr3wujqofftpu" style="color: black;">Radiology</a> </i> &nbsp;
Because of possible inconsistencies in the physical cali- bration factors of x-ray units, as reported in a previous paper (1), the establishment of a set of technical factors for one appara- tus would  ...  wer made, the output of each x-ray unit was measured with the Landsverk chamber at an equivalent kilovoltage as determined from the plot of half-value layers.  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1148/77.3.480">doi:10.1148/77.3.480</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/13732636">pmid:13732636</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ky4c3rbksrhyhnknm5imk4jw3u">fatcat:ky4c3rbksrhyhnknm5imk4jw3u</a> </span>
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### EFFECT OF CHEMICAL FERTILIZATION, BIOFERTILIZER AND THIDIAZURON ON GROWTH AND YIELD OF ANISE (PIMPINELLA ANISUM L.)

dalia Sallam
<span title="2015-09-01">2015</span> <i title="Egypts Presidential Specialized Council for Education and Scientific Research"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bljwx7ju2ventawdlas6hrbtny" style="color: black;">Al-Azhar Journal of Pharmaceutical Sciences</a> </i> &nbsp;
(TDZ) combined with chemical fertilizer at half or full dose of NPK on number of spores Am fungi (kg soil -1 ), AM fungi colonization , enzymatic activities (dehydrogenase activity [µg TPF/g dry soil/  ...  and chemical composition obtained at inoculating seeds with mixture of mycorrhizal and mycrobein at full dose of NPK.  ...  half or full NPK fertilizer increased plant height (cm), No. of branches and leaves, root length (cm) as well as herb and root dry weight when compared with un inoculated plants (control).  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21608/ajps.2015.12530">doi:10.21608/ajps.2015.12530</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4ggkfkfpqba67cwo4ywwiovwk4">fatcat:4ggkfkfpqba67cwo4ywwiovwk4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190430211053/https://ajps.journals.ekb.eg/article_12530_836e302745530625b1c504b3c121acb6.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3d/3a/3d3abfc6930fb3d025928207c8d0728a32101872.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21608/ajps.2015.12530"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

### Distortions of Gaussian pulses transmitted through a transparent isotropic layer

Eduardo Omar Acosta, María Teresa Garea, Natalia Álvarez, Liliana Perez
<span title="2018-12-03">2018</span> <i title="Facultad de Ingenieria del la Universidad de Buenos Aires"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xmkfi5jm4zhxfkuwdevmvc4auq" style="color: black;">Revista Elektrón</a> </i> &nbsp;
desarrollo analítico alternativo que hace posible determinar explícitamente estos efectos de distorsión cuando un pulso incide normalmente en una capa isotrópica transparente sumergida en un medio de  ...  En los casos más simples, el modo continuo se corresponde a haces monocromáticos con distribución de amplitudes gaussiana (es un haz limitado en el espacio); mientras que el modo pulsado corresponde a  ...  Chromatic dispersion is present in practically all optical materials and is manifested as a dependence of the phase velocity on the frequency or wavelength of light inclusive in transparent media.  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.37537/rev.elektron.2.2.58.2018">doi:10.37537/rev.elektron.2.2.58.2018</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dsngfibmcze3vf5hajbxlc3w7m">fatcat:dsngfibmcze3vf5hajbxlc3w7m</a> </span>
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### Page 571 of Mathematical Reviews Vol. 8, Issue 10 [page]

<span title="">1947</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Fundamental theorems are obtained concerning the tan- gents (limits of secants M,M,’ as M; and M;’ tend to Mo) and half-tangents (limits of rays MyM, as M, tends to Mo) to a simple Jordan surface S in  ...  Phys. 1, 29-34 (1940). The author considers, as a specialisation of more general formulae, the expression D,f(x) =6a~*fy*(2t—a) f(x+#)dt, expressible as f’(x+0a) (0<0<1) if f(x) is differentiable.  ...
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### A characterization of spectral operators

<span title="1991-01-01">1991</span> <i title="American Mathematical Society (AMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a64sw4kcsveajhudnssdwrwvze" style="color: black;">Proceedings of the American Mathematical Society</a> </i> &nbsp;
A characterization of spectral operators due to N. Dunford is simplified. Especially, his complicated Condition (D) is replaced by a very simple one.  ...  Let x £ Y. Let A be as in (b) and assume {An} is a strictly decreasing sequence of closed half planes converging to A.  ...  Because un = E(C \ A) E(An)x is bounded, every subsequence of {un} has a weakly convergent subsequence. Let u be the limit of any weakly convergent subsequence of {un}.  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1090/s0002-9939-1991-1045148-0">doi:10.1090/s0002-9939-1991-1045148-0</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kv4bwcjsdnfqhfqahcwf2tjj7e">fatcat:kv4bwcjsdnfqhfqahcwf2tjj7e</a> </span>
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### A Characterization of Spectral Operators

<span title="">1991</span> <i title="JSTOR"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a64sw4kcsveajhudnssdwrwvze" style="color: black;">Proceedings of the American Mathematical Society</a> </i> &nbsp;
A characterization of spectral operators due to N. Dunford is simplified. Especially, his complicated Condition (D) is replaced by a very simple one.  ...  Let x £ Y. Let A be as in (b) and assume {An} is a strictly decreasing sequence of closed half planes converging to A.  ...  Because un = E(C \ A) E(An)x is bounded, every subsequence of {un} has a weakly convergent subsequence. Let u be the limit of any weakly convergent subsequence of {un}.  ...
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2307/2048454">doi:10.2307/2048454</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xueskfj7infyvnxobzo3ztr34u">fatcat:xueskfj7infyvnxobzo3ztr34u</a> </span>
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### Classification of Three-word Indicator Functions of Two-level Factorial Designs

N. Balakrishnan, Po Yang
<span title="2006-06-03">2006</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mxadt7oherc6zh6yhfx3avy4r4" style="color: black;">Annals of the Institute of Statistical Mathematics</a> </i> &nbsp;
They studied the identifiability problem in experimental designs by representing factorial designs as solutions of a set of polynomial equations.  ...  The results imply that there is no valuable non-regular design with only three or less words in its indicator function.  ...  The authors also express their sincere thanks to anonymous referees for their valuable comments and suggestions in improving earlier versions of the manuscript.  ...
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### Capacitances in micro-strip detectors: A conformal mapping approach

Paolo Walter Cattaneo
<span title="">2010</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mmib25oo4rdvded6lklscoqcve" style="color: black;">Solid-State Electronics</a> </i> &nbsp;
The knowledge of capacitance in semiconductor micro-strip detectors is important for a correct design, simulation and understanding of the detectors.  ...  , k 1 )) (27) The left and right gaps of the n − th lateral strip are mapped onto gaps with widths (defining n = 1 F (x cn−1 /(W t /2), k 1 )) = 0) S l un = F (x cn /(W t /2), k 1 ) − F (x on /(W t /2)  ...  The first order is K ′ (k) K(k) =      1 π ln(2 1+ √ k ′ 1− √ k ′ ) 0 ≤ k ≤ 1 √ 2 π ln(2 1+ √ k 1− √ k ) 1 √ 2 ≤ k ≤ 1.0 (12) that can be inverted to obtain k, defining y = K ′ (k) K(k) , as k ′ =  ...
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### Page 396 of Automation and Remote Control Vol. 21, Issue 5 [page]

<span title="">1960</span> <i title="Springer Science &amp; Business Media"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_automation-and-remote-control" style="color: black;">Automation and Remote Control </a> </i> &nbsp;
In this work, we fixed the value of m, = n + 1, and my varied as a function of p, Such an approach made it possible to obtain the optimal switching line.  ...  then the parity of S; is un- changed, Therefore, the law that translates the point di- rectly to the origin of coordinates must be supplemented by two steps (when u,o, = - UXO, = 1) to all the tra- jectories  ...
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