Miracle-dz/UniFAR-FTUs huggingface dataset:
An algorithm for efficient detection of (N, N)-splittings and its application to the isogeny problem in dimension 2

We develop an eﬃcient algorithm to detect whether a superspecial genus 2 Jacobian is optimally ( N, N )-split for each integer N ≤ 11. Incorporating this algorithm into the best-known attack against the superspecial isogeny problem in dimension 2 gives rise to signiﬁcant cryptanalytic improvements. Our implementation shows that when the underlying prime p is 100 bits, the attack is sped up by a factor 25 x ; when the underlying prime is 200 bits, the attack is sped up by a factor 42 x ; and, when the underlying prime is 1000 bits, the attack is sped up by a factor 160 x .
Efficiency of Halosulfuron Methyl (NC-319 75%WDG) on Weed Control in Sugrcane

Field experiments were conducted at Tamil Nadu Agricultural University, Coimbatore to evaluate the efficiency of halosulfuron methyl for the control of weeds in sugarcane. The treatments consisted of new herbicide formulation halosulfuron methyl (NC-319 75% WDG) in different doses (52.5, 60.0, 67.5, 75.0 and 150 g a.i. ha−1) at 3–4 leaf stages of Cyperus rotundus compared with recommended dose of PE atrazine 1.0 kg a.i. ha−1 on 3 DAP + hand weeding and earthing up on 60 DAP, hand weeding on 30 DAP and earthing up on 60 DAP respectively and also with unweeded control. The results revealed that the sedge weed density was distinctly lower in application of halosulfuron methyl at all doses. But grass and broad leaved weed density was perceptibly lower in PE atrazine 1.0 kg a.i. ha−1 + hand weeding and earthing up on 60 DAP followed by hand weeding on 30 DAP and earthing up on 60 DAP and halosulfuron methyl 60.0 g a.i. ha−1. The lowest total weed dry weight, higher weed control efficiency and cane yield were recorded in PE atrazine 1.0 kg a.i. ha−1 + hand weeding and earthing up on 60 DAP followed by hand weeding on 30 DAP and earthing up on 60 DAP and halosulfuron methyl 60.0 g a.i. ha−1. The herbicide doses evaluated in this study did not exhibit residual effect on succeeding crops of pearlmillet, sunflower and cowpea.
Supercritical flow in sewer manholes

The breakdown of supercritical flow in sewer manholes may be dangerous when designed according to current practice. This issue is particularly relevant for drainage systems conveying discharge in both stormwater and combined sewers. Based on detailed hydraulic experimentation, the main features of three manhole types were observed, including the through-flow, the bend and the junction manholes. Using systematic observations and a hydraulic approach, the large data sets allowed presentation of a modified and generalized design for such hydraulic structures, thereby accounting for Froude similitude. Both the hydraulic flow patterns along with design guidelines are presented to allow for a safe and straightforward design of manholes in these sewer networks. The design relates particularly to freeboard requirements and to the discharge capacity of sewer manholes. It is demonstrated that the dimensionless discharge capacity of the junction and the through-flow manholes is roughly twice and three times larger than for bend manholes, respectively.
Particle Motions in Sheared Suspensions. XXIV. Rotation of Rigid Spheroids and Cylinders

The rotation of rigid prolate spheroids, obtained by polymerization of an electrically deformed liquid drop suspended in a liquid undergoing Couette flow has been studied. The variation of azimuthal angle φz and the period of rotation were found to be in good agreement with the theory of Jeffery. Measurements of the equivalent ellipsoidal axis ratio re of cylinders have established that the transition from disks, for which re 1) occurs at a particle axis ratio r=0.86 and that re=r when r=1.68.
Rejoinder to "Line Transect Sampling in Small and Large Regions"

Rachel M. Fewster,1 Jeffrey L. Laake,2 and Stephen T. Buckland3,∗ 1Department of Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand 2National Marine Mammal Laboratory, Alaska Fisheries Science Center, National Marine Fisheries Service, 7600 Sand Point Way NE, Seattle, Washington 98115, U.S.A. 3School of Mathematics and Statistics, The Observatory, Buchanan Gardens, St Andrews KY16 9LZ, Scotland ∗email: steve@mcs.st-and.ac. uk
First-principles calculation of N:H codoping effect on energy gap narrowing of TiO2

The energy band structures and density of states for N-doped and N:H-doped anatase TiO2 are calculated based on the first-principles density-functional theory. For N-doped TiO2, there appear two isolated states above the top of the valence band and the band gap narrowing is very small. With the same nitrogen dopant concentration, N:H doping yields a significant band gap narrowing. The calculated results support our experimental data that N:H-doped TiO2 exhibited higher visible-light photocatalytic efficiency than the N-doped one.
A generalization of the Siewert–Burniston method for the determination of zeros of analytic functions

The Siewert–Burniston method for the derivation of closed‐form formulas for the zeros of sectionally analytic functions with a discontinuity interval along the real axis (based on the Riemann–Hilbert boundary value problem in complex analysis) is generalized to apply to the determination of the zeros of analytic functions (without discontinuity intervals) inside or outside simple smooth contours. An application of this method to the closed‐form solution of the transcendental equation zez =beb, appearing in the theory of neutron moderation in nuclear reactors, is also made.
A boundary layer origin for bipolar flows

L'origine des vents energetiques emanant d'objets stellaires jeunes et se manifestant sous la forme d'ecoulements moleculaires a grandes vitesses est consideree. On suggere que l'origine la plus probable de tels vents se situe dans la couche limite du disque d'accretion et que la force est due a des champs magnetiques toroidaux produits par un cisaillement important dans la region de la couche limite
The height variation of vertical heat flux near the ground

Profiles of vertical heat flux were obtained by subtracting the component of temperature change due to long-wave radiation flux divergence from some observed temperature changes and integrating the resultant temperature change. the method of computing the radiative component was essentially one suggested by Funk (1961). the resultant fluxes of sensible heat showed significant height variations near the ground at night but almost no variation near the ground in the day. At night the coefficient of eddy conductivity increased with height up to about 50 metres and subsequently decreased. In the daytime the concept of thermal diffusion does not appear to adequately describe the sensible heat flux.
Direct numerical simulation of turbulence in a sheared air–water flow with a deformable interface

Direct numerical simulation has been performed to explore the turbulence near a freely deformable interface in a countercurrent air–water flow, at a shear Reynolds number $\Re_{\star}=171$. The deformations of the interface fall in the range of capillary waves of waveslope $ak=0.01$, and very small phase speed-to-friction velocity ratio, $c/u_{\star}$. The results for the gas side are compared to open-channel flow data at the same shear Reynolds number, placing emphasis upon the influence of the waves in the interfacial viscosity-affected region, and away from it in the outer core flow. Comparison shows a similarity in the distribution of the turbulence intensities near the interface, confirming that for the range of flow conditions considered, the lighter phase perceives the interface like a flexible solid surface, at least in the limit of non-breaking waves. Overall, in a time-averaged sense, the interfacial motion affects the turbulence in the near-interface region; the most pertinent effect is a general dampening of the turbulent fluctuating field which, in turn, leads to a reduction in the interfacial dissipation. Furthermore, the turbulence is found to be less anisotropic at the interface than at the wall. This is confirmed by the analysis of the pressure–rate-of-strain tensor, where the effect of interfacial motion is shown to decrease the pressure strain correlation in the direction normal to the interface and in the spanwise direction. The analysis of the turbulent kinetic energy and Reynolds stress budgets reveals that the interface deformations mainly affect the so-called boundary term involving the redistribution of energy, i.e. by the action of pressure, turbulent fluctuations and molecular viscosity, and the dissipation terms, leaving the production terms almost unchanged. The non-zero value of the turbulent kinetic energy at the interface, together with the reduced dissipation, implies that the turbulent activity persists near the interface and contributes to accelerating the turbulent transfer mechanisms. Away from the interface, the decomposition of the fluctuating velocity gradient tensor demonstrates that the fluctuating rate-of-strain and rate-of-rotation at the interface influence the flow throughout the boundary layer more vigorously. The study also reveals the streaky structure over the deformable interface to be less organized than over a rigid wall. However, the elongation of the streaks does not seem to be much affected by the interfacial motion. A simple qualitative analysis of the quasi–streamwise vortices using different eduction techniques shows that the interfacial turbulent structures do not change with a change of boundary conditions.
Film Cooling and Heat Transfer on Two Cutback Trailing Edge Models With Internal Perforated Blockages

Experiments to study heat transfer and film cooling on the cutback trailing edge of a turbine blade with slot ejection were performed. Heat transfer from two rows of perforated blockage inserts for lateral impingement on the coolant channel walls prior to coolant ejection into the freestream was also investigated. The internal test geometry is similar to the crossover impingement hole design used in modern gas turbine blades for trailing edge cooling. A liquid crystal technique based on hue value detection was used to measure the heat transfer coefficient on a trailing edge film-cooling model with slot ejection and an internal model with perforated blockage inserts. It was also used to determine the film effectiveness on the cutback trailing edge. For the internal model with the perforated blockage inserts, Reynolds numbers based on the hydraulic diameter of the slot and exit velocity were 5000, 10,000, 20,000, and 30,000 and corresponding coolant-to-freestream velocity ratios ranged from 0.26 to 1.83 for the external model with slot ejection, respectively. The experiments were performed for two different designs, 1 and 2, with Design 1 incorporating two different configurations with a staggered/inline slot exit arrangement and Design 2 with a staggered slot exit arrangement. Both designs utilized a 90 deg flow turn into the blockage inserts as an entrance to the test section to simulate a realistic blade passage design. Results show that the internal design geometry of the trailing edge and Reynolds numbers can affect heat transfer in an internal model with perforated blockage inserts. Design 2 with a wider entrance channel and a sloped land near the ejection slots provided low heat transfer coefficients in the internal as well as external model but gave higher film-cooling effectiveness from slot ejection.
An extension theorem for functions on semigroups

For S a semitopological semigroup, a continuous function on S is said to be in LMC(S) if its set of right translates is relatively compact in C (S) for the topology of pointwise convergence on S. It is proved here that, if S is a dense subsemigroup of a topological group G, then every function in LMC (S) extends to a function continuous on G. This result generalizes earlier results that were arrived at independently by A. T. Lau and the present author. Some corollaries of this result are also presented. 1. Definitions and main result. Let S be a topological semigroup, that is, S is a semigroup and a Hausdorff topological space, and the binary operation (s, t) -* st from the product topological space S x S into S is continuous. A function f E C (S) is said to be in AP (S) (WAP (S)) [LMC (S)] provided its set of right translates is relatively compact in C(S) for the topology of norm convergence (weak convergence) [pointwise convergence on S], the left and right translates, f, and fS, of f E C(S) by s E S being defined as usual by f, (t) = f (st) and fs (t) = f (ts) for all t S5, respectively. AP (S) and WAP (S) are the spaces of almost periodic and weakly almost periodic functions in C(S) and, if /3S is the spectrum of C(S) (which is just the Stone-Cech compactification of S if S is completely regular), then it is not hard to show that a function f E C(S) is in LMC (S) if and only if the function s -* x(fs), s E S, is in C(S) for each x E P3S. And, finally, a function f E C(S) is called left (right) uniformly continuous if the function, s -* fs (s -* fS), from S into C (S) is norm-continuous, and uniformly continuous if it is both left and right uniformly continuous. Notations for these last families of functions are LUC(S), RUC(S) and UC(S), respectively. The reader is referred to the references for more information about these function spaces. We are now ready to state and prove our main result, which generalizes both Lemma 2.1 of [5] and Theorem 1 of [6] by achieving the same conclusion from weaker hypotheses. The proof is essentially that of [6], the difference being that a device of Lau is used to get around the possible absence of the identity in S. THEOREM. Let S be a dense subsemigroup of a topological semigroup G that is Received by the editors March 1, 1975. AMS (MOS) subject classifications (1970). Primary 22A20, 43A60.
Optical spectra of Si/Ge‐network copolymers: [Si(C6H13)]1−x[Ge(C6H13)]x

Optical properties of silicon‐ and germanium‐based network copolymers, [Si(C6H13)]1−x‐ [Ge(C6H13) ]x, have been investigated for various Si/Ge compositions (x). The backbone Si/Ge atoms are coordinated by the three other Si/Ge backbone atoms in the polymers. These Si/Ge copolymers show the absorption spectra which are typical of amorphous semiconductors. Their color continuously traverses the visible range with x, which is due to the change of the band gap (Tauc gap) energy as well as to the presence of localized subgap states. The Si/Ge copolymer shows a broad band of luminescence in the visible region. The luminescence band maximum was observed to shift by ∼0.5 eV with change of the Si/Ge ratio.
First-Principles Study on the Gilbert Damping Constants of Transition Metal Alloys, Fe–Ni and Fe–Pt Systems

We adapt the tight-binding linear muffin-tin orbital (TB-LMTO) method to the torque-correlation model for the Gilbert damping constant α and perform the first-principles calculation for disordered transition metal alloys, Fe–Ni and Fe–Pt systems, within the framework of the CPA. Quantitatively, the calculated α values are about one-half of the experimental values, whereas the variations in the Fermi level dependence of α are much larger than these discrepancies. As expected, we confirm in the (Fe–Ni) 1- X Pt X and FePt systems that Pt atoms certainly enhance α owing to their large spin–orbit coupling. For the disordered alloys, we find that α decreases with increasing chemical degree of order in a wide range.
Ramanujan's 6–8–10 Equation and Beyond

The electrical connector is connectable to a matching connector and has a body for receiving contacts that carries a threaded rotary locking nut for cooperation with a threaded portion of the matching connector. The nut is fast with internal ratchet teeth having edges each separating a face with a lower slope from a face with a steeper slope relative to a circumferential direction. The body of the connector is non-rotatably connected to a one-piece ring having teeth cooperating with notches formed by the ratchet teeth to establish a ratchet effect that opposes rotation of the ring in an unscrewing direction in which the teeth abut the steeper faces.
Lifetime measurements in neutral and singly ionized vanadium

Radiative lifetimes of ten odd-parity levels of V I belonging to the 3d34s4p and 3d44p configurations and of 11 odd-parity levels of V II belonging to the 3d34p configuration are reported. The lifetimes were measured with use of single-step excitation and time-resolved fluorescence spectroscopy. The neutral and singly ionized vanadium atoms were produced in a laser-induced vanadium plasma.
On a theorem for linear evolution equations of hyperbolic type

$[0, T]$ into $X,$ $A(t)$ is a given linear operator which is a negative generator of a $C_{0}$-semigroup in $X$, and the unknown function $u$ is from $[0, T]$ into $X$. Those theorems are useful in applications to symmetric hyperbolic systems of partial differential equations (for example, see [3] and [7]). The proofs were carried out by using a device due to Yosida $[8, 9]$ , and the proof of Theorem 6.1 of [1] was simplified later by Dorroh [4]. It is assumed in those articles that $A(t)$ is norm continuous from $[0, T]$ into $B(Y, X)$ , where $Y$ is a Banach space densely and continuously embedded in $X$. However, we find it useful to strengthen the theorems by replacing the norm continuity of $A(t)$ with strong continuity. The purpose of the present paper is to show that Theorem 6.1 of [1] is still valid if we assume the strong continuity of $A(t)$ instead of the norm continuity of it. In Section 1 our result is stated. In Section 2 we give a proof of it. In this paper we refer to [1] for notations and definitions. The author would like to express his hearty thanks to Professor T. Kato for his valuable advice through his letter.
Continuous dependence results for a class of evolution inclusions

In this paper we examine the dependence of the solutions of an evolution inclusion on a parameter λ We prove two dependence theorems. In the first the parameter appears only in the orientor field and we show that the solution set depends continuously on it for both the Vietoris and Hausdorff topologies. In the second the parameter appears also in the monotone operator. Using the notion of G-convergence of operators we prove that the solution set is upper semicontinuous with respect to the parameter. Both results make use of a general existence theorem which we also prove in this paper. Finally, we present two examples. One from control theory and the other from partial differential inclusions.
Organized modes and the three-dimensional transition to turbulence in the incompressible flow around a NACA0012 wing

The transition to turbulence in the incompressible flow around a NACA0012 wing at high incidence is studied by DNS in the Reynolds number range 800–10000. Two main routes are identified for the two-dimensional transition mechanisms: that to aperiodicity beyond the von Kármán mode via a period-doubling scenario and the development of a shear-layer instability, forced by the fundamental oscillation of the separation point downstream of the leading edge. The evolution of the global parameters as well as the variation law of the shear-layer instability wavelength are quantified. The history of the three-dimensional transition mechanisms from a nominally two-dimensional flow structure is identified beyond the first bifurcation, as well as the preferred spanwise wavelengths.
Consensus of descriptor multi-agent systems via dynamic compensators

This study deals with the consensus problem via dynamic output feedback (dynamic compensator) for descriptor (singular) multi-agent systems with fixed topologies and agents described by general linear systems. Only output information of each agent can be delivered from its neighbour agents. Based on graph, algebra and descriptor linear system theory, the necessary and sufficient conditions are proposed for the existence of dynamic compensators solving the considered problem. The given conditions depend on both the topologies within descriptor multi-agent systems and the structure properties of each agent dynamics. According to non-zero eigenvalues of the Laplacian matrix of the weighted digraph are the same or different, two consensus algorithms via dynamic compensators are proposed, respectively. The provided examples demonstrate the effectiveness of the proposed consensus algorithms.
A note on Miura’s transformation

It has been observed by Miura that the solutions of the modified Korteweg–deVries equation can be mapped into those of the Korteweg–deVries equation. In this note we show that all of the solutions of the former, decaying sufficiently rapidly as ‖x‖→∞, map into a sparse solution set of the KdV equation. We use certain results regarding the second Painleve transcendent to exhibit this fact.
Polarimetry of H-Lyman α for coronal magnetic field diagnostics

We discuss and analyze the possible sources of observational and instrumental uncertainty that can be encountered in measuring magnetic fields of the solar corona through polarimetric observations of the Hanle effect of the coronal Ly-alpha line. The Hanle effect is the modification of the linear polarization of a resonantly scattered line, due to the presence of a magnetic field. Simulated observations are used to examine how polarimetric measurements of this effect are affected by the line-of-sight integration, the electron collisions, and the Ly-alpha geocorona. We plan to implement the coronal magnetic field diagnostics via the Ly-alpha Hanle effect using an all-reflecting Ly-alpha coronagraph/polarimeter (Ly-alphaCoPo) which employs reflecting multilayer mirrors, polarizers, and filters. We discuss here the requirements for such an instrument, and analyze the sources of instrumental uncertainty for polarimetric observations of the coronal Ly-alpha Hanle effect. We conclude that the anticipated polarization signal from the corona and the expected performance of the Ly-alphaCoPo instrument are such that the Ly-alpha Hanle effect method for coronal field diagnostics is feasible.