A critique of terms and symbols in school mathematics by Robertas Vilkas

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Formation of Orthogonal Input Value Components in Micro-Processor Current Protection of Distribution Network Lines by F. A. Romaniuk, O. A. Huryanchyk

“…The paper considers formers of orthogonal components with even number read-out and also investigates their frequency and dynamic properties.…”
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Two open problems about the liner structure of rotation symmetric Boolean functions by Ya-qun ZHAO, Xu LI

“…One open problem that the balanced rotation symmetric Boolean functions with degree n− 1 on even number of variables have no non-zero linear structure was proved. …”
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Energy-efficient and intelligent cooperative spectrum sensing algorithm in cognitive radio networks by Tangsen Huang, Xiangdong Yin, Xiaowu Li

“…The algorithm obtains the initial value of the reliability of the nodes through training, and sorts them according to the highest reliability value, then selects an even number of nodes with the highest reliability value, and divides the selected nodes into two groups, and the two groups of nodes take turns in Alternate work. …”
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Verifiable three-party secure key exchange protocol based on eigenvalue by Yanshuo ZHANG, Zehao WANG, Zhiqiang WANG, Huiyan CHEN

“…In order to solve the problem that the traditional key exchange protocol,which was not flexible enough and flawed in security,cannot provide the function of three-party key negotiation,firstly,a simple and flexible three-party key exchange scheme that can resist man-in-the-middle attacks was proposed with the help of secret matrix eigenvalues.However,the validity of key exchange cannot be verified by the scheme,and counterfeiting by middlemen can’t be prevented.Then based on it,the secret matrix was reconstructed,where the matrix order was a large even number,and all the eigenvalues appeared in pairs,similar to the diagonal matrix.Based on the special secret matrix,the verification part which can be used to verify the legitimacy of the communication party was introduced to the scheme,and the verifiable three-party key exchange protocol based on the eigenvalue was given.The protocol not only solved the problem of three-party key exchange,but also verified identity legitimacy.It is proved that it’s feasible to design a three-party key exchange protocol by the eigenvalue.The final protocol is both secure and efficient.…”
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THE STRUCTURE OF GRAPHS ON \(n\) VERTICES WITH THE DEGREE SUM OF ANY TWO NONADJACENT VERTICES EQUAL TO \(n-2\) by Do Nhu An

“…We show that, for \(n\geq3\) is an odd number then \(\alpha(G)=2\) and \(G\) is a disconnected graph; for \(n\geq4\) is an even number then \(2\leq\alpha(G)\leq(n+2)/2\), where if \(\alpha(G)=2\) then \(G\) is a disconnected graph, otherwise \(G\) is a connected graph, \(G\) contains  \(k\) total vertices and \(n-k\) vertices of degree \(\delta=(n-2)/2\), where \(0\leq k\leq(n-2)/2\). …”
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Effect of feedforward control combined with tracking method on reducing the incidence of blockage of intravenous indwelling needle in perioperative patients (前馈控制追踪法在降低围手术期患者静脉留置针堵... by ZHANG Jianfang (张建芳), SHI Lihua (施丽华), LIN Yiqing (林依青), FENG Qi (冯绮), CHEN Qiyu (陈麒羽), LI Liqin (李立勤)

“…Totally 852 patients who received intravenous infusion therapy were recruited and divided into two groups according to the odd-even number of admission: 424 patients with odd number in the control group and 428 patients with even number in the observation group. …”
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Focusing of linearly polarized optical vortex and a Hall effect by V.V. Kotlyar, A.A. Kovalev, A.G. Nalimov

“…We show here that near the focal plane of the CVB (i.e. before and beyond the focus), an even number of local subwavelength areas with rotating polarization vectors are generated. …”
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Focusing a cylindrical vector beam and the Hall effect by V.V. Kotlyar, S.S. Stafeev, A.A. Kovalev, V.D. Zaitsev

“…We show here that near the focal plane of the CVB (i.e. before and beyond the focus), an even number of local subwavelength areas with rotating polarization vectors are generated. …”
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Rotating Flows Driven by Axisymmetric Blades in a Cylinder by Jae Won Kim

“…The numerical results for the fluid flows and pressure distribution, for both an odd and an even number of the blades are procured. The present output offers an optimal number of the blades for rotating machinery such as agitator. …”
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Effect of Traditional Chinese Medicine nursing combined with continuous nebulization in nursing of elderly patients undergoing tracheostomy (中医护理联合持续雾化吸入在老年气管切开患者护理中的应用效果观察)... by HUANG Ning (黄宁)

“…According to the order of tracheotomy, 30 patients with odd numbers were included as the control group and 30 patients with even number were included as the study group. The control group received routine ICU care and intermittent nebulization inhalation for 15～20 minutes each, and number of nebulization was adjusted on the basis of sputum viscosity. …”
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WHEAT ANTIMICROBIAL PEPTIDES by T. I. Odintsova, T. V. Korostyleva, L. L. Utkina, Ya. A. Andreev, A. A. Slavokhotova, E. A. Istomina, V. A. Pukhal’skii, T. A. Egorov

“…Most of them belong to cysteine-rich peptides; their molecules contain even numbers of cysteine residues involved in the formation of disulphide bonds, which stabilize the peptide structure. …”
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Tooth replacement of the filter-feeding pterosaur Forfexopterus and its implications for ecological adaptation by CHANG-FU ZHOU, FENGMIN FAN

“…Reconstruction of Zahnreihen shows an average Z-spacing of 2.02, comparable to that of the simple alternate replacement (Z-spacing = 2) between odd- and even-numbered tooth positions in reptiles. Based on comparisons with Balaenognathus, Ctenochasma, and Pterodaustro, the tooth replacement pattern appears to be varied in ctenochasmatids, and needs to be further studied in the future.…”
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Size, spines, and primes: the drivers of collar spine numbers among echinostome trematodes by Bronwen Presswell, Priscila M. Salloum, Jerusha Bennett, Katherine E. Buschang, Robert Poulin

“…First, we confirm that even numbers of spines are the norm among species in which they are arranged as 2 arcs with a central gap, while odd numbers (mainly prime numbers) predominate among species in which spines form a continuous collar. …”
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Local Government Unit’s Support to Educational Programs as Viewed by the Citizens: The Case of Lezo, Aklan by Cecilia T Reyes, Cecile O. Legaspi, Clyde G. Abayon, Tomas O. Ortega, Anna Mae. C. Relingo, Mary Eden M. Teruel, Jyanee Loi D. Yecla

“…Female respondents were targeted for even numbered questionnaires while male respondents were targeted for odd numbers. …”
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Evaluation of The Effect of Pre-Operative Informed Consent Form on Pre-Operative Anxiety by Sultan Zortul

“…The same method was applied to patients staying in the same room: odd-numbered room numbers were assigned to Group 1, and even-numbered room numbers to Group 2. The standard informed consent form was read to Group 1 using a face-to-face interview technique, while the Beck Anxiety Scale was applied to Group 2 after they received a detailed informed consent form that included photographs of the surgical technique, procedures, and potential complications. …”
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Miniperc percutaneous nephrolithotomy versus retrograde intrarenal surgery in the treatment of juxta uretero-pelvic junction upper ureteric calculi: A prospective, randomized contr... by T. P. Pradhyumna Koushik, Vivek Meyyappan, Nakul Baban Aher, Hariharasudhan Sekar, Gayathri Thiruvengadam, Sriram Krishnamoorthy

“…Patients with odd numbers were assigned Group A (Miniperc PCNL, n = 50) and even numbers were assigned to Group B (RIRS, n = 50). …”
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Application of platelet-rich plasma therapy combined with 5E rehabilitation nursing mode for patients with knee osteoarthritis (富血小板血浆联合5E康复护理模式在膝骨性关节炎患者中的应用)... by AN Linjing (安林静), ZHAO Chen (赵晨), CHANG Yueyuan (常月圆), PAN Yaying (潘亚英), CHEN Yanqi (程艳琪), ZHANG Bing (张兵), CHEN Weinan (陈炜楠), GAO Bei (高蓓), NIU Jing (牛静), ZHANG Ting (张婷)

“…They were divided into test group and control group according to ward odd and even numbers, with 40 cases in each group. The control group was treated with PRP injected into knee joint cavity combined with routine exercise guidance. …”
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