Partitioning Functional of a Class of Convex Bodies by Xinling Zhang

“…For each <i>n</i>-dimensional real Banach space <i>X</i>, each positive integer <i>m</i>, and each bounded set <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><mi>X</mi></mrow></semantics></math></inline-formula> with diameter greater than 0, let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>β</mi><mi>X</mi></msub><mrow><mo>(</mo><mi>A</mi><mo>,</mo><mi>m</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> be the infimum of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>δ</mi><mo>∈</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></semantics></math></inline-formula> such that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><mi>X</mi></mrow></semantics></math></inline-formula> can be represented as the union of <i>m</i> subsets of <i>A</i>, whose diameters are not greater than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula> times the diameter of <i>A</i>. …”
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Study on Drivers’ Visual Load Features in Lighting Environments of Interior Zones of Extra-Long Tunnels over 10 km by Yuantao Zhou, Shiyong He, Xiaohu Li, Yingying Li, Guoping Du

“…In a real vehicle experiment, the pupil diameter, fixation duration, electroencephalogram power spectral density, standard deviation of normal to normal, and root mean square of successive differences were used as indicators of drivers’ visual loads. …”
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Small Renal Masses: Incidental Diagnosis, Clinical Symptoms, and Prognostic Factors by F. M. Sánchez-Martín, F. Millán-Rodríguez, G. Urdaneta-Pignalosa, J. Rubio-Briones, H. Villavicencio-Mavrich

“…SRMs are defined as lesions less than 4 cm in diameter. SRM could be benign, and most malignant SMRs are low stage and low grade. …”
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Study on influencing factors of soil compaction effect of pipe pile in soft soil area by Sifeng Zhang, Xinyuan Zhang

“…When the pile spacing is set to more than 4 times the pile diameter, the synergistic bearing capacity of the pile group can be better played; The construction sequence from near to far is preferentially selected during construction, which can effectively reduce the impact on adjacent structures. …”
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Full Conjugate Contour Constructing of Helical Rotor with Higher and Its Flow Ripple Formula by Taixi Quan, Yan Yang

“…The results show that instantaneous diameter as representing contour type has good universality， dimensionless derivation process of theoretical flow is simple and reliable. …”
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Morphology and properties of hollow fiber membrane prepared under different air gap lengths by AIDA ISMA MOHAMAD IDRIS, Syeda Hina Iqbal, Rozita Omar, Hazmin Mansor

“…The results showed that the diameters of the fibers as well as the inner and outer lumens were significantly influenced by the air gap. …”
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Uji Daya Hambat Isolat Actinomycetes sebagai Antibakteri terhadap Pertumbuhan Pseudomonas aeruginosa ATCC 27853 secara In Vitro by Saskia Arientika Wahyuningrum, Meiskha Bahar, Andri Pramesyanti Pramono

“…Results: The effective incubation time occurred at 24 hours, and then it resulted in the average clear zone diameter of 14.70 mm, 10.57 mm, 8.53 mm, 8.47 mm, 6.97 mm, and 5.30 mm. …”
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Morphological and Nutritional Properties of Moroccan Capparis spinosa Seeds by Nidal El amri, Faouzi Errachidi, Abdellatif Bour, Sara Bouhaddaoui, Rachida Chabir

“…Further, the preliminary morphological and anatomical characterization of leaves, stems, and morphological properties such as length, width, thickness, geometric mean diameter, sphericity, surface area, and mass of 100 seeds have been determined. …”
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Aktivitas Anticandida Herba Krokot (Portulaca grandiflora) by Agus Purwanto, Ch. Endang Purwaningsih, Christiana Indriasari

“…The antifungal activity test was carried out by observing the diameter of the inhibition zone formed around the paper disk. …”
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Improving energy efficiency for fishing vessels using two-pitch propellers by Co Tan Anh Vu, Phan Van Hung, Dang Dinh Chien, Vu Dang Thai, Pham Ky Quang

“…The hydrodynamic features of the fixed propeller and the propeller’s two pitches were analyzed using the numerical approach with a diameter of 1 m; a speed of 629 rpm; expanded area ratio of 0.5. …”
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Primary pulmonary meningioma: a case report and literature review by Jun Cheng, Chunfen Guo

“…Case report A 57-year-old male patient was found to have a nodule in the right middle lobe of about 1.8 cm in diameter on a chest-enhanced CT scan performed more than 7 years ago. …”
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Evaluation of a BGO-Based PET System for Single-Cell Tracking Performance by Simulation and Phantom Studies by Yu Ouyang PhD, Tae Jin Kim PhD, Guillem Pratx PhD

“…Tracking with the Genisys4 was then validated using a physical phantom of helically moving [ 18 F] fluorodeoxyglucose-in-oil droplets (< 0.24 mm diameter, 139-296 Bq), yielding < 1 mm localization error under the tested conditions, with good agreement between simulated sensitivity and measured activity (Pearson correlation R = .64, P << .05 in a representative example). …”
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Arteriovenous Malformation in Temporal Lobe Presenting as Contralateral Ocular Symptoms Mimicking Carotid-Cavernous Fistula by Fadzillah Mohd-Tahir, Ishak Siti-Raihan, W. H. Wan Hazabbah

“…There was dilated left superior ophthalmic vein of 0.9 mm in diameter with enlarged left cavernous sinus. MRA and carotid angiogram confirmed right temporal arteriovenous malformation with no carotid-cavernous fistula. …”
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Effect of Different Catalysts on Properties of Coal Tar Pitch Modified by Cinnamaldehyde by Wenjuan Zhang, Wenhong Tian, Shihua Song, Xianren Zeng, Peng Gao, Lili Mao, Tiehu Li

“…In addition, under the same experimental condition (heated at 400°C and held for 1 h), the mesophase spheres of B7C10 are more regular than those of P7C10 and the largest diameter of the mesophase spheres can reach to 40 um. …”
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Sources of the Aeolian Material in Periglacial Conditions Based on Quartz Grain Analysis, Ebba Valley, Svalbard by Rymer Krzysztof Grzegorz, Wachecka-Kotkowska Lucyna

“…Quartz grains with a diameter of 0.8–1.0 mm were selected and subjected to further analysis under a microscope, which allowed them to be divided into six individual classes. …”
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Secretory leukocyte protease inhibitor in punch biopsies from human colonic mucosa by Max Nyström, Ulla Peterson Westin, Carina Linder, Kjell Ohlsson

“…Mucosa preparation was carried out using a punch biopsy technique, and samples of 3, 4 and 6 mm diameter were used. All media contained SLPI at varying concentrations. …”
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Chronic Expanding Hematoma in the Popliteal Fossa after Pseudoaneurysm Surgery because of Nail Puncture by Serdar Yilmaz, Deniz Cankaya, Alper Deveci, Bulent Ozkurt, Mehmet Emin Simsek, Abdullah Yalcin Tabak, Murat Bozkurt

“…On MRI, an enormous swelling of 115 × 107 × 196 cm in diameter was seen. It was diagnosed as CEH and was excised completely protecting the collateral vessels and there was no recurrence after a year from the surgery.…”
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Analysis of the Embankment Settlement on Soft Soil Subgrade with a Cement Mixed Pile by Liang Yang, Wenyuan Xu, Keke Li

“…More specifically, an increase of the pile spacing from 200% to 400% of the pile diameter is associated with an increase in the maximum settlement of the foundation surface from 1.76 to 1.85 cm (existing road slope) and from 1.44 to 1.96 cm (existing subgrade and new embankment). …”
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Morphometrics and Reproductive Characteristics of the Freshwater Crab Sartoriana spinigera from the Habitat of Ratargul Swamp Forest, Bangladesh: An Approach to Conservation by Sanjida Akther, Mohammad Amzad Hossain, Debasish Pandit, Thouhidur Rahman Chowdhury, Sohel Mian

“…The fertilization was 1297 ± 629 ova, the ovary weight was 447.22 ± 359.39 mg, and the egg diameter was 375.15 ± 130.18 µm. Histological analysis showed that the male hepatopancreas was well organized and decomposition was reported in the female during the vitellogenic stages of the ovary. …”
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Numerical Study of the Effect of Perforation Friction and Engineering Parameters on Multicluster Fracturing in Horizontal Wells by Zixi Jiao, Anlin Zhang, Longhuan Du, Yang Yang, Hua Fan

“…Through adjusting the number of perforations in each cluster or the perforation diameter, the effect of the stress shadow can be significantly reduced by increasing the perforation friction, and the factors that affect the development of multiple fractures are changed, from the stress shadow effect to the dynamic partitioning of the flow rate. …”
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