Splitting of PG(1,27) by Sets, Orbits, and Arcs on the Conic

This research aims to give a splitting structure of the projective line over the finite field of order twenty-seven that can be found depending on the factors of the line order. Also, the line was partitioned by orbits using the companion matrix. Finally, we showed the number of projectively inequivalent -arcs on the conic through the standard frame of the plane PG(1,27)

The Improvement in the Positioning on the Nubian and Somalia Plates by Updating Terrestrial Reference Frames

International Terrestrial Reference Frames (ITRF) is an accurate and standard frame for referencing positions at different times and in different locations around the world. The International Global Navigation Satellite System (GNSS) Service, (IGS) enable global positioning and timing at the highest possible accuracy through modernized datum’s aligned with the ITRF. In addition, ITRF site velocities for any location within Africa are between 24 and 31 mm/yr due to rigid motion of the African plate over the underlying mantle. The African plate can be divided into two Nubian and Somalia sub-plates. In the present work, the rotation rates about Euler poles and position improvement in Nubian and Somalia plates with updated ITRFs are investigated. Among the results in this study, when using a rigid plate movement and instantaneous ITRF coordinates to transform a fixed reference epoch, in case of Nubian plate, the residual in positioning and Root Mean Square Error (RMS) improved with the updating of the frame and the best results of residual and RMS appear in frame 2008 by values (0.149,0.011) m. respectively but in Somali plate, residual and RMS increased with the updating of the frame and the best results appear in frame2014 by values (i.,e., 0.096, 0.012) m, respectively.

Sentinel-1 InSAR data by LiCSAR system

<p>Looking Into the Continents from Space with Synthetic Aperture Radar (LiCSAR) is a system built for large-scale interferometric processing of Sentinel-1 data. LiCSAR automatically produces geocoded wrapped and unwrapped interferograms combining every acquisition epoch with four preceding epochs, and complementary data (coherence, amplitude, line-of-sight unit vectors, digital elevation model, metadata, and atmospheric phase screen estimates by the Generic Atmospheric Correction Online Service, GACOS).</p><p>The LiCSAR products are generated in frame units where a standard frame covers ~220x250 km, at 0.001° resolution (WGS-84 coordinate system). Frames are continuously updated for tectonic and volcanic priority areas. In 2020, the LiCSAR system covered about 1,500 global frames in which we have processed over 89,000 Sentinel-1 acquisitions and generated over 300,000 interferograms. Among these, 470 frames cover 1,024 global volcanoes. We aim to cover the global seismic mask defined by the Committee on Earth Observation Satellites (CEOS), but focus initially on the Alpine-Himalayan belt and East African Rift.</p><p>We serve the products as open and freely accessible through our web portal: https://comet.nerc.ac.uk/comet-lics-portal and aim to provide them to shared infrastructures as the European Plate Observing System (EPOS). We also generate rapid response coseismic interferograms for earthquakes with moment magnitude (Mw)> 5.5  a few hours after the postseismic data become available, and we update frames covering active volcanoes twice per day.</p><p>Our products can be directly converted to displacement time series and velocities using  the LiCSBAS time series analysis software. We present solutions implemented in LiCSAR, and show several case studies that use LiCSAR and LiCSBAS products to measure tectonic and volcanic deformation.</p><p><img src="https://contentmanager.copernicus.org/fileStorageProxy.php?f=gnp.1c122b867cff59390830161/sdaolpUECMynit/12UGE&app=m&a=0&c=02895a62108de9393057db6a355e3b06&ct=x&pn=gnp.elif&d=1" alt=""></p>

Position Vectors of Curves Generalizing General Helices and Slant Helices in Euclidean 3-Space

Inthispaper,wegiveanewcharacterizationofak-slanthelixwhichisageneral- ization of general helix and slant helix. Thereafter, we construct a vector differential equation of the third order to determine the parametric representation of a k-slant helix according to standard frame in Euclidean 3-space. Finally, we apply this method to find the position vector of some examples of 2-slant helix by means of intrinsic equations.

Tibia vara in Asians: Myth or fact? Verification with three-dimensional computed tomography

Background: There is a common perception among surgeons that Asian tibiae are significantly more varus compared to non-Asians, contributed both by an acute medial tibial proximal angle (MPTA) and diaphyseal bowing. Insight into the normative morphology of the tibia allows generation of knowledge towards disease processes and subsequently planning for corrective surgeries. Methods: Computed tomography (CT) scans of 100 normal adult knees, aged 18 years and above, were analysed using a 3-dimensional (3D) analysis software. All tibiae were first aligned to a standard frame of reference and then rotationally aligned to the tibial centroid axis (TCAx) and the transmalleolar axis (tmAx). MPTA was measured from best-fit planes on the surface of the proximal tibia for each rotational alignment. Diaphyseal bowing was assessed by dividing the shaft to three equal portions and establishing the angle between the proximal and distal segments. Results: The mean MPTA was 87.0° ± 2.2° (mean ± SD) when rotationally aligned to TCAx and 91.6° ± 2.7° when aligned to tmAx. The mean diaphyseal bowing was 0.1° ± 1.9° varus when rotationally aligned to TCAx and 0.3° ± 1.6° valgus when aligned to tmAx. The mean difference when the MPTA was measured with two different rotational alignments (TCAx and tmAx) was 4.6° ± 2.3°. No statistically significant differences were observed between males and females. Post hoc tests revealed statistically significant difference in MPTA between different ethnic sub-groups. Conclusion: The morphology of the proximal tibiae in the disease-free Asian knee is inherently varus but not more so than other reported populations. The varus profile is contributed by the MPTA, with negligible diaphyseal bowing. These implications are relevant to surgical planning and prosthesis design.

STUDY PERENCANAAN STRUKTUR ATAS GEDUNG GUEST HOUSE 6 LANTAI DI KOTA KEDIRI

The increasing number of tourist attractions and airport construction in the city of Kediri will impact the rising number of visitors from outside the city. The availability of adequate accommodation to accommodate the number of visitors who will come to the town of Kediri is essential. Kediri City Guest House Building is one of the solutions to the problem of availability of accommodation in the City of Kediri going forward. Calculations carried out in this study regarding the structure of the 6-story Guest House building design using SAP2000V7.40 software. The results of the standard frame elements in the structure column model with the appropriate dimensions and materials included in the plan drawing. The column section frame has dimensions 600x600 cm and diameter 600 cm. The wall load value is distributed to all frames holding the wall in the form of a uniform load of 250 kg/m2 as planned, the height of the stairs is 2 m, and the length is flat is 2.5 m. Thus, the calculation results obtained the number of stomps of 10 pcs and the number of climbs of 10 pcs with a width of 61cm stairs, aantrade (horizontal) 25 cm, and optrade (up) 20 cm. Bertambahnya jumlah tempat Wisata dan pembangunan Bandara di Kota Kediri akan berdampak pada bertambahnya jumlah pengunjung dari luar Kota. Ketersediaan akomodasi yang mencukupi untuk menampung jumlah pengunjung yang akan datang ke Kota Kediri sangat diperlukan. Gedung Guest House Kota Kediri menjadi salah satu solusi pada permasalahan ketersediaan akomodasi kedepannya. perhitungan yang dilakukan Pada penelitian ini mengenai perencanaan struktur bangunan Guest House 6 lantai dengan menggunakan software SAP2000V7.40. Hasil elemen frame biasa pada model kolom struktur dengan dimensi dan material yang sesuai telah dicantumkan dalam gambar rencana. Frame section kolom tersebut berdimensi 600 x 600 Cm dan diameter 600 Cm. Nilai beban dinding didistribusikan ke seluruh frame yang menahan dinding dalam bentuk beban merata (uniform load) sebesar 250 kg/m2 seperti rencana tinggi tangga adalah 2 m dan panjang datar adalah 2,5 m. Secara perhitungan diperoleh hasil jumlah injakan 10 bh dan jumlah tanjakan 10 bh dengan lebar tangga 61cm, aantrade (mendatar) 25 cm, dan optrade (naik) 20 cm.

Adaptive ML-Based Frame Length Optimisation in Enterprise SD-WLANs

Software-Defined Networking (SDN) is gaining a lot of traction in wireless systems with several practical implementations and numerous proposals being made. Despite instigating a shift from monolithic network architectures towards more modulated operations, automated network management requires the ability to extract, utilise and improve knowledge over time. Beyond simply scrutinizing data, Machine Learning (ML) is evolving from a simple tool applied in networking to an active component in what is known as Knowledge-Defined Networking (KDN). This work discusses the inclusion of ML techniques in the specific case of Software-Defined Wireless Local Area Networks (SD-WLANs), paying particular attention to the frame length optimization problem. With this in mind, we propose an adaptive ML-based approach for frame size selection on a per-user basis by taking into account both specific channel conditions and global performance indicators. By relying on standard frame aggregation mechanisms, the model can be seamlessly embedded into any Enterprise SD-WLAN by obtaining the data needed from the control plane, and then returning the output back to this in order to efficiently adapt the frame size to the needs of each user. Our approach has been gauged by analysing a multitude of scenarios, with the results showing an average improvement of 18.36% in goodput over standard aggregation mechanisms.

Fast Frame Synchronization Design and FPGA Implementation in SF-BOTDA

To address the issues of high time consumption of frame synchronization involved in a scanning-free Brillouin optical time-domain analysis (SF-BOTDA) system, a fast frame synchronization algorithm based on incremental updating was proposed. In comparison to the standard frame synchronization algorithm, the proposed one significantly reduced the processing time required for the BOTDA system frame synchronization by about 98%. In addition, to further accelerate the real-time performance of frame synchronization, a field programmable gate array (FPGA) hardware implementation architecture based on parallel processing and pipelining mechanisms was also proposed. Compared with the software implementation, it further raised the processing speed by 13.41 times. The proposed approach could lay a foundation for the BOTDA system in the field with the associated high real-time requirements.