Relevant bibliographies by topics / Perfect square

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Perfect square'

Author: Grafiati
Published: 2 June 2025
Last updated: 22 June 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Perfect square.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Perfect square"

1

Coumbe, D. N. "MAGIC SQUARES OF PERFECT SQUARES AND PELL NUMBERS." JP Journal of Algebra, Number Theory and Applications 63, no. 6 (2024): 587–614. http://dx.doi.org/10.17654/0972555524032.

Full text
Abstract:
Order three magic squares of distinct squared integers are studied. We show that such a magic square is not possible if the smallest entry is the square of a prime number, or unity. A method for generating all arithmetic progressions of three squared integers whose smallest term is the square of a prime or unity is presented via a set of linear transformation matrices involving the Pell numbers.
APA, Harvard, Vancouver, ISO, and other styles
2

Chalcraft, Adam. "Perfect Square Packings." Journal of Combinatorial Theory, Series A 92, no. 2 (2000): 158–72. http://dx.doi.org/10.1006/jcta.2000.3058.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Luca, Florian. "Perfect Cuboids and Perfect Square Triangles." Mathematics Magazine 73, no. 5 (2000): 400. http://dx.doi.org/10.2307/2690822.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Luca, Florian. "Perfect Cuboids and Perfect Square Triangles." Mathematics Magazine 73, no. 5 (2000): 400–401. http://dx.doi.org/10.1080/0025570x.2000.11996886.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Banu, P. Shakila, and R. Akilandeswari. "Square Perfect Fuzzy Matching." International Journal of Fuzzy Mathematical Archive 11, no. 1 (2016): 45–52. http://dx.doi.org/10.22457/ijfma.v11n1a7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Conforti, Michele, Gérard Cornuéjols, and Kristina Vušković. "Square-free perfect graphs." Journal of Combinatorial Theory, Series B 90, no. 2 (2004): 257–307. http://dx.doi.org/10.1016/j.jctb.2003.08.003.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Propp, James G., and Tiberiu V. Trif. "Deriving a Perfect Square: 10706." American Mathematical Monthly 107, no. 9 (2000): 866. http://dx.doi.org/10.2307/2695753.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

McDonnell, E. E. "A perfect square root routine." ACM SIGAPL APL Quote Quad 16, no. 4 (1986): 289–94. http://dx.doi.org/10.1145/22008.22050.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Chan, Tsz Ho. "Factors of a perfect square." Acta Arithmetica 163, no. 2 (2014): 141–43. http://dx.doi.org/10.4064/aa163-2-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Barbeau, E. J. "Numbers Differing from Consecutive Squares by Squares." Canadian Mathematical Bulletin 28, no. 3 (1985): 337–42. http://dx.doi.org/10.4153/cmb-1985-040-9.

Full text
Abstract:
AbstractIt is shown that there are infinitely many natural numbers which differ from the next four greater perfect squares by a perfect square. This follows from the determination of certain families of solutions to the diophantine equation 2(b2 + 1) = a2 + c2. However, it is essentially known that any natural number with this property cannot be 1 less than a perfect square. The question whether there exists a number differing from the next five greater squares by squares is open.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Perfect square"

1

Cui, Xiangchen. "Mean-Square Error Bounds and Perfect Sampling for Conditional Coding." DigitalCommons@USU, 2000. https://digitalcommons.usu.edu/etd/7107.

Full text
Abstract:
In this dissertation, new theoretical results are obtained for bounding convergence and mean-square error in conditional coding. Further new statistical methods for the practical application of conditional coding are developed. Criteria for the uniform convergence are first examined. Conditional coding Markov chains are aperiodic, π-irreducible, and Harris recurrent. By applying the general theories of uniform ergodicity of Markov chains on genera l state space, one can conclude that conditional coding Markov cha ins are uniformly ergodic and further, theoretical convergence rates based on Doeblin's condition can be found. Conditional coding Markov chains can be also viewed as having finite state space. This allows use of techniques to get bounds on the second largest eigenvalue which lead to bounds on convergence rate and the mean-square error of sample averages. The results are applied in two examples showing that these bounds are useful in practice. Next some algorithms for perfect sampling in conditional coding are studied. An application of exact sampling to the independence sampler is shown to be equivalent to standard rejection sampling. In case of single-site updating, traditional perfect sampling is not directly applicable when the state space has large cardinality and is not stochastically ordered, so a new procedure is developed that gives perfect samples at a predetermined confidence interval. In last chapter procedures and possibilities of applying conditional coding to mixture models are explored. Conditional coding can be used for analysis of a finite mixture model. This methodology is general and easy to use.
APA, Harvard, Vancouver, ISO, and other styles
2

Pasca, Bogdan Mihai. "Calcul flottant haute performance sur circuits reconfigurables." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2011. http://tel.archives-ouvertes.fr/tel-00654121.

Full text
Abstract:
De plus en plus de constructeurs proposent des accélérateurs de calculs à base de circuits reconfigurables FPGA, cette technologie présentant bien plus de souplesse que le microprocesseur. Valoriser cette flexibilité dans le domaine de l'accélération de calcul flottant en utilisant les langages de description de circuits classiques (VHDL ou Verilog) reste toutefois très difficile, voire impossible parfois. Cette thèse a contribué au développement du logiciel FloPoCo, qui offre aux utilisateurs familiers avec VHDL un cadre C++ de description d'opérateurs arithmétiques génériques adapté au calcul reconfigurable. Ce cadre distingue explicitement la fonctionnalité combinatoire d'un opérateur, et la problématique de son pipeline pour une précision, une fréquence et un FPGA cible donnés. Afin de pouvoir utiliser FloPoCo pour concevoir des opérateurs haute performance en virgule flottante, il a fallu d'abord concevoir des blocs de bases optimisés. Nous avons d'abord développé des additionneurs pipelinés autour des lignes de propagation de retenue rapides, puis, à l'aide de techniques de pavages, nous avons conçu de gros multiplieurs, possiblement tronqués, utilisant des petits multiplieurs. L'évaluation de fonctions élémentaires en flottant implique souvent l'évaluation en virgule fixe d'une fonction. Nous présentons un opérateur générique de FloPoCo qui prend en entrée l'expression de la fonction à évaluer, avec ses précisions d'entrée et de sortie, et construit un évaluateur polynomial optimisé de cette fonction. Ce bloc de base a permis de développer des opérateurs en virgule flottante pour la racine carrée et l'exponentielle qui améliorent considérablement l'état de l'art. Nous avons aussi travaillé sur des techniques de compilation avancée pour adapter l'exécution d'un code C aux pipelines flexibles de nos opérateurs. FloPoCo a pu ainsi être utilisé pour implanter sur FPGA des applications complètes.
APA, Harvard, Vancouver, ISO, and other styles
3

Tunková, Martina. "Městské lázně." Master's thesis, Vysoké učení technické v Brně. Fakulta architektury, 2010. http://www.nusl.cz/ntk/nusl-215713.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Leng, Hui-Shih, and 冷輝世. "Data Hiding Using the Perfect Square Number, Hybrid Edge Detector with Minimal Distortion and the Modulus Function." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/539a24.

Full text
Abstract:
博士<br>朝陽科技大學<br>資訊管理系<br>102<br>Data hiding is a technique that conceals data into a carrier for conveying the secret message confidentially. Digital images are widely transmitted over the internet and with large payload, so digital images often serve as a carrier. After embedding the secret message into the cover image, the cover image termed as stego image and distortion occur. Reduce the distortion is an important issue in data hiding. The measurement of data hiding has two requirements, payload and imperceptibility. The payload is determined by the number of secret message embedded in each pixel on the cover image. The imperceptibility is calculated by peak signal-to-noise ratio. High imperceptibility implies low distortion difference between cover image and stego image. Data hiding has two types: reversible and irreversible. The reversible data hiding can restore the cover image without any distortion after the secret message has been extracted. Due to requirement of extra information of reversible data hiding, it has lower payload than most irreversible data hiding schemes. Despite the irreversible data hiding has a higher payload; it must comply with the human visual system which implies the stego image cannot be recognized by human eyes. In this dissertation, we propose three methods of irreversible data hiding. First, we use the perfect square number divide the quantization range table on the pixel-value-differencing scheme. Second, we use a new hybrid edge detector increase the embedding capacity by least-significant-bit substitution scheme and use the minimal distortion method to improve the quality of the stego image. Finally, we try to use the geometry relation on the modulus function to replace the calculation complexity and extend the exploiting-modification-direction scheme and the fully-exploiting-modification-direction scheme to n-dimensional hypercube.
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Perfect square"

1

Coleman, Reed Farrel. Walking the perfect square. Permanent Press, 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Coleman, Reed Farrel. Walking the perfect square. Wheeler Pub., 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Chapman, Vannetta. A perfect square: A Shipshewana Amish mystery. Center Point Publishing, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Chapman, Vannetta. A perfect square: A Shipshewana Amish mystery. Zondervan, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Guerman, Mikhail, and Sylvie Forestier. Perfect Square: Chagall (Perfect Squares). Numen, 2006.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Perfect Square. Blurb, 2020.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Perfect Square. Blurb, 2020.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Perfect Square. Scholastic, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Chapman, Vannetta. Perfect Square. Zondervan, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Blackthorn, Isobel. Perfect Square. Odyssey Books, 2016.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Perfect square"

1

Qi, Chunxia, Ruilin Wang, Ida Ah Chee Mok, and Danting Huang. "Teaching the Formula of Perfect Square through Bianshi Teaching." In Teaching and Learning Mathematics through Variation. SensePublishers, 2017. http://dx.doi.org/10.1007/978-94-6300-782-5_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Gotti, Roberto. "The Dynamic Sphere: Thesis on the Third State of the Vitruvian Man." In Martial Culture and Historical Martial Arts in Europe and Asia. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-2037-0_4.

Full text
Abstract:
AbstractThe subject of this paper is the basic principles of a martial art that has been perfected over millennia of social strata, skirmishes, and settlements, and is the amalgamation of different cultures and traditions which flourished during the Renaissance. We can learn this art today thanks to the texts written and printed during that period. In his most famous drawing, Leonardo da Vinci (1452–1519) shows a man drawn inside two geometrical shapes: the square with the center at his groin and the circle with the center at his navel. But there is another possible representation that provides an anthropometric revelation with his center at the solar plexus. That is the man I define as dynamic. Many traces of him may be found in the Masters’ texts and we have magnificent examples of him in daily life: the man who, through performing perfect combat moves, is able to move and “become” a sphere, the “Palla,” or ball, as Camillo Agrippa calls it, with changing circumference and surface. He can move his center within his own body and outside of it, to the palm of his hand, to the blade of his sword, and even to inside his enemy. The dynamic man represents the development upon both the natural man, depicted in a square with his groin at the center and the speculative man, depicted in a circle with his navel at the center. This man creates a sphere around himself, with the solar plexus at its center. He has the ability to move that center to any part of his body, even to his blade and as far as the blade’s end, thus modifying the circumference of his sphere as he pleases. The findings presented here are the fruit of over twenty years of research and practice, reflecting my own progression in the theoretical and practical understanding of Italian martial arts.
APA, Harvard, Vancouver, ISO, and other styles
3

Hatzel, Meike, and Sebastian Wiederrecht. "On Perfect Linegraph Squares." In Graph-Theoretic Concepts in Computer Science. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00256-5_21.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Zolfaghari, Behrouz, and Khodakhast Bibak. "Combinatorial Cryptography and Latin Squares." In Perfect Secrecy in IoT. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13191-2_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Rice, Adrian. "7. De Morgan’s A Budget of Paradoxes." In Augustus De Morgan, Polymath. Open Book Publishers, 2024. http://dx.doi.org/10.11647/obp.0408.07.

Full text
Abstract:
De Morgan was a man of many eccentricities, and nowhere were these idiosyncrasies more evident than in A Budget of Paradoxes. This was a 500-page book, published one year after his death, in 1872, which still remains his most accessible and oft-quoted work. The Budget focuses on the published output of mathematical cranks, frauds and pseudoscientists, presenting a multitude of rogue scientific theories, including attempts to prove the earth is flat, to disprove the law of universal gravitation and, of course, to square the circle. All of these are beautifully sent up by De Morgan in his wonderfully satirical style, providing the perfect forum for his whimsical, humorous, but above all, entertaining style of writing. The fondness with which the book was regarded appears near universal: one reviewer described it as ‘by very far the most individual book of the age’, while another called it ‘absolutely unique’. But what exactly did A Budget of Paradoxes contain? What was so attractive to its readers? And what made it so unusual? To answer these questions, this chapter presents a survey of what has been described as ‘one of the most delicious bits of satire of the nineteenth century’.
APA, Harvard, Vancouver, ISO, and other styles
6

Dijkstra, Theo K. "A Perfect Match Between a Model and a Mode." In Partial Least Squares Path Modeling. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64069-3_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Sejfried, Michael. "The M-Points Related to the Perfect Circles in Any Triangle ABC as the Next Points Lying on the Generalized Soddy-Line and About “Square Root Angle”." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-63403-2_12.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Navarro, Danielle, and David Foxcroft. "12. Correlation and linear regression." In Learning Statistics with jamovi. Open Book Publishers, 2025. https://doi.org/10.11647/obp.0333.12.

Full text
Abstract:
This chapter delves into correlation and linear regression, foundational techniques in statistical analysis for exploring relationships between continuous predictors and outcomes. Beginning with the concept of correlations, the chapter examines how variables relate to each other in data, using scatterplots and descriptive statistics to visualise and interpret the strength and direction of relationships. Pearson’s correlation coefficient r is introduced as a measure ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation), alongside practical guidance on its calculation and interpretation. The chapter also highlights limitations of Pearson’s r, such as its assumption of linearity, and introduces Spearman’s rank correlation for assessing monotonic relationships. Throughout, examples are used that underscore practical applications, supported by scatterplots and jamovi analyses. The latter sections explore linear regression models, a sophisticated extension of correlation analysis. These models estimate the relationship between predictors and outcomes using a regression line, quantified through coefficients such as slope and intercept. Techniques for evaluating model fit are detailed, including R squared and hypothesis testing for coefficients. The chapter extends the discussion to multiple linear regression, examining how multiple predictors interact within a model. It concludes by addressing critical topics such as assumptions (linearity, independence, normality, equality of variance), diagnostics (residual analysis, outlier detection, collinearity), and model selection methods like AIC and hierarchical regression. Practical, hands-on use of jamovi is emphasised throughout, making the concepts accessible and applicable.
APA, Harvard, Vancouver, ISO, and other styles
9

Barus, Rony Ukurta, Isfenti Sadalia, and Chairul Muluk. "Analysis of MSME Financial Intelligence Level in the Utilization of Peer-to-Peer (P2P) Lending as a Financing Alternative in Batam City." In Proceedings of the 19th International Symposium on Management (INSYMA 2022). Atlantis Press International BV, 2022. http://dx.doi.org/10.2991/978-94-6463-008-4_27.

Full text
Abstract:
Abstract Micro, Small, and Medium Enterprises (MSME) is Indonesia’s main corporate sector, with 97% of Indonesia’s total workforce. Capital fulfillment is one of the obstacles to MSME’s development. While most Indonesian MSMEs have various weaknesses in meeting banking requirements for financing, technological developments in the financial services sector have created peer-to-peer (P2P) lending service providers. However, the existence of P2P lending is not perfect for MSME alternative lending in Indonesia, including Batam city. The study aims to analyze SMEs’ level of financial intelligence when using P2P lending as alternative lending. The location of this survey was Batam, with respondents from up to 150 SMEs in Batam. This study is related to data analysis techniques using the partial least squares (PLS) method using SmartPLS software version 3. The results show that the level of financial intelligence of MSME actors in Batam is still low to understand the benefits of P2P. Credit as an alternative. It can be used to raise funds to meet the business capital. This study concludes that MSMEs need to better understand peer-to-peer lending services as an alternative funding source for their capital sufficiency.
APA, Harvard, Vancouver, ISO, and other styles
10

"Perfect Square Numbers." In Lecture Notes on Mathematical Olympiad Courses. World Scientific Publishing Company, 2009. http://dx.doi.org/10.1142/9789814293570_0005.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Perfect square"

1

McDonnell, E. E. "A perfect square root routine." In the international conference. ACM Press, 1986. http://dx.doi.org/10.1145/22415.22050.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Savarimuthu, Sabeenian Royappan, Kalaiselvi Cinnu Muthuraji, and Paramasivam Muthan Eswaran. "Square root for perfect square numbers using Vedic mathematics." In 24TH TOPICAL CONFERENCE ON RADIO-FREQUENCY POWER IN PLASMAS. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0164287.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Aslan, Ekin, Semih Korkmaz, Sabri Kaya, and Mustafa Turkmen. "Rotated First Iteration Square Fractal Shaped Perfect Absorbers." In Optical Sensors. OSA, 2015. http://dx.doi.org/10.1364/sensors.2015.sew1b.6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Bhakta, Prateek, and Dana Randall. "Sampling Weighted Perfect Matchings on the Square-Octagon Lattice." In 2016 Proceedings of the Thirteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO). Society for Industrial and Applied Mathematics, 2015. http://dx.doi.org/10.1137/1.9781611974324.5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Soin, N., and Burhanudin Y. Majlis. "KOH etching process of perfect square MEMS corrugated diaphragm." In Microelectronics, MEMS, and Nanotechnology, edited by Jung-Chih Chiao, Andrew S. Dzurak, Chennupati Jagadish, and David V. Thiel. SPIE, 2005. http://dx.doi.org/10.1117/12.637586.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Beverini, N., G. Carelli, E. Maccioni, et al. "Toward the “perfect square” ring laser gyroscope." In 2014 Fotonica AEIT Italian Conference on Photonics Technologies (Fotonica AEIT). IEEE, 2014. http://dx.doi.org/10.1109/fotonica.2014.6843890.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Thakare, Mansi, and Babita Jajodia. "Hardware Implementation for Determining Perfect and Non-Perfect Square Roots using Dwandwa Yoga on FPGA." In 2022 International Conference on Electrical, Computer and Energy Technologies (ICECET). IEEE, 2022. http://dx.doi.org/10.1109/icecet55527.2022.9872778.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Sicuranza, Giovanni L., and Alberto Carini. "Least-square approximation of second-order nonlinear systems using quasi-perfect periodic sequences." In 2015 23rd European Signal Processing Conference (EUSIPCO). IEEE, 2015. http://dx.doi.org/10.1109/eusipco.2015.7362470.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Pan, Qinghui, Qizhen Wang, Yong Shuai, and Heping Tan. "Infrared Absorption Characteristics Analysis for Square Loop Nanostructure of Al Substrate." In ASME 2016 5th International Conference on Micro/Nanoscale Heat and Mass Transfer. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/mnhmt2016-6551.

Full text
Abstract:
We present a 2D square loop-shaped nanostructure, which is made of a square loop aluminum array on Al2O3 spacer and Al substrate. High absorption peaks are obtained at 3.5μm and 9μm when the incident wave is vertically. In the design of dual-band or multi-band structure, the two high absorption bands are designed to stimulate the outer magnetic excitation of the first-order and the high-order magnetic resonance wavelength. For structure design with two absorption peaks or multiple absorption peaks, the expectation bands with high absorption would be obtained in the cooperation between first-order and higher-order magnetic resonance due to the outer structure. The main absorption peak due to the inner structure may be coupled the second absorption peak due to the outer structure. Then the absorption bandwidth could be broadened and the dual-band perfect absorption effect could be obtained in this loop-shaped structure.
APA, Harvard, Vancouver, ISO, and other styles
10

Ikeda, Takashi, Masaki Takashima, and Yuji Harata. "Autoparametric Resonances of Elastic Structures Coupled With Two Sloshing Modes in a Square Liquid Tank." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47808.

Full text
Abstract:
Nonlinear vibrations of an elastic structure coupled with liquid sloshing in a square tank subjected to vertical sinusoidal excitation are investigated. Previous studies examined the vibrations of a structure coupled with only one sloshing mode in a rectangular tank. However, square tanks are expected to work more efficiently as a vibration suppression device (Tuned Liquid Damper, TLD) because two sloshing modes, (1,0) and (0,1) modes, simultaneously appear when the internal resonance ratio 2:1:1 is satisfied. In reality, it is impossible to build a perfectly square tank. Therefore, a nearly square liquid tank is also considered when the tuning condition is slightly deviated. In the theoretical analysis, the fluid in the tank is assumed to be perfect. The modal equations of motion for seven sloshing modes are derived using Galerkin’s method, considering the nonlinear terms. The linear damping terms are then incorporated into the modal equations to consider the damping effect of sloshing. The frequency response curves are determined using van der Pol’s method (based on the harmonic balance method). From these response curves, the influences of the liquid level, the aspect ratio of the tank cross section, and the deviation of the tuning condition are investigated. For a square tank it is found that (1,0) and (0,1) modes are nonlinearly coupled. When the liquid level is high, there are three patterns for sloshing: (I) both (1,0) and (0,1) sloshing modes appear at identical amplitudes; (II) these two modes appear at different amplitudes; and (III) either (1,0) or (0,1) mode appears. Compared with the performance of a rectangular TLD, a square TLD works more efficiently when the liquid level is low. Small deviations of the tuning condition may cause amplitude modulated motion to appear. Bifurcation sets are also calculated to illustrate the influence of the system parameters on the performance of the TLD. Experiments were also conducted in order to confirm the validity of the theoretical results. These results were in good agreement with the experimental data.
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Perfect square"

1

ทัศนาขจร, อัญชลี. การศึกษาความแตกต่างแปรผันทางพันธุกรรมในประชากรกุ้งกุลาดำ โดยการตรวจลายพิมพ์ดีเอ็นเอ ด้วยตัวตรวจสอบที่มีลำดับเบสซ้ำแบบง่าย : รายงานวิจัยฉบับสมบูรณ์. จุฬาลงกรณ์์มหาวิทยาลัย, 1997. https://doi.org/10.58837/chula.res.1997.19.

Full text
Abstract:
ในการศึกษาความแตกต่างแปรผันทางพันธุกรรมในประชากรกุ้งกุลาดำ ได้ทดสอบวิธีการตรวจลายพิมพ์ดีเอ็นเอในกุ้งกุลาดำและได้เลือก 2 วิธี เพื่อใช้ในการศึกษาความแตกต่างแปรผันทางพันธุกรรม คือ 1. การตรวจลายพิมพ์ดีเอ็นเอ โดยเทคนิค RAPD (Random Amplified Polymorphic DNA analysis) และ 2. การตรวจความแปรผันของ microsatellites DNA ในการศึกษานี้ได้เก็บตัวอย่างกุ้งจากแหล่งที่นิยมใช้เป็นพ่อ-แม่พันธุ์ในการเพาะเลี้ยงกุ้ง จำนวน 5 แหล่ง โดยเก็บตัวอย่างจากทะเลอันดามัน 3 แหล่ง ได้แก่ กุ้งบริเวณ จ. สตูล-ตรัง กุ้งจากจ. พังงา และกุ้งจากเมดาน ประเทศอินโดนีเซีย และเก็บตัวอย่างกุ้งจากฝั่งอ่าวไทย 2 แหล่ง ได้แก่ กุ้งจาก จ. ตราด และ จาก จ. ชุมพร โดยแต่ละวิธีได้ผลโดยสรุปได้ดังนี้ การตรวจลายพิมพ์ดีเอ็นเอ โดยเทคนิค RAPD จากการวิเคราะห์ RAPD patterns ของกุ้งทั้ง 5 กลุ่ม พบว่ามีจำนวนแถบดีเอ็นเอที่เกิดจาก RAPD primers ทั้ง 7 ตัว รวม 80 แถบ ซึ่งมีขนาดอยู่ในช่วง 200-2000 คู่เบส เมื่อคำนวณค่าเปอร์เซ็นต์ความหลากหลายของแถบดีเอ็นเอ (%polymorphic bands) ในกุ้งแต่ละกลุ่มพบว่ามีค่าใกล้เคียงกันอยู่ในช่วง 51.5-57.7 % ค่า similarity index ภายในกลุ่มประชากรอยู่ในช่วง 0.86-0.89 โดยตัวอย่างกุ้งจากพังงามีค่า similarity ภายในกลุ่มประชากรสูงสุด จากค่า similarlity index ระหว่างกลุ่มประชากร เมื่อนำมาคำนวณค่า genetic distance และสร้าง dendrogram พบว่าตัวอย่างกุ้งกุลาดำจากเมดานมีลักษณะทางพันธุกรรมแตกต่างจากกุ้งของประเทศไทย (Dij=14.976%) และภายในกลุ่มตัวอย่างของกุ้งจากประเทศไทยด้วยกัน สามารถแยกกุ้งสตูล-ตรังออกจากกลุ่มตัวอย่างที่เหลือ (Dij=2.632%) ลายพิมพ์ดีเอ็นเอจากตัวอย่างกุ้งทั้ง 5 กลุ่ม มีลักษณะที่แตกต่างกันทั้งสิ้น 252 แบบ เมื่อนำมาวิเคราะห์ความแตกต่างโดยใช้ไคสแคว์ (chi-square analysis) และเปรียบเทียบระหว่างตัวอย่างกุ้งจากเมดานกับกลุ่มตัวอย่างของประเทศไทย และระหว่างกลุ่มตัวอย่างของประเทศไทยจากทะเลอันดามันและอ่าวไทย พบว่ามีความแตกต่างกันอย่างมีนัยสำคัญ (P&lt;0.0001 และ P=0.0000-0.0387 ตามลำดับ) การตรวจความแปรผันของ microsatellites DNA สามารถแยก microsatellite clones จาก partial genomic library ของกุ้งกุลาดำได้ และจากการหาลำดับนิวคลิโอไทด์ของ microsatellite clones พบว่ามีลำดับชั้นแบสซ้ำเป็นแบบ (GT)n จำนวน 97 clones, (CT)n จำนวน 16 clones และเป็น microsatellites ชนิด perfect,imperfect และ compound ในสัดส่วน 24, 53 และ 23% ตามลำดับ แสดงว่า microsatellites ในกุ้งกุลาดำส่วนใหญ่เป็นชนิด imperfect นอกจากนี้ยังพบว่าจำนวน repeat ในแต่ละ clone มีความยาวตั้งแต่ 6 repeats จนถึงมากกว่า 100 repeats โดยจำนวน repeat ที่พบมากที่สุดอยู่ในช่วง 30-35 repeats จากลำดับนิวคลีโอไทด์บริเวณ flanking regions ของ microsatellite clones นำมาออกแบบ PCR primers เพื่อตรวจหาความแปรผันของ microsatellite loci พบว่ามี 4 loci ที่ให้ PCR product ตามที่คาดไว้ และสามารถ score allele ได้ คือ CUPmo 18, CUPmo386, CUPmo131 และ CUPmo195 เมื่อทำการทดสอบความแปรผันของ microsatellite loci เหล่านี้ โดยนำไปตรวจตัวอย่างกุ้งธรรมชาติ พบว่าทุก loci มีความแปรผันสูง คือ มีจำนวน alleles ที่พบในแต่ละ locus อยู่ในช่วง 14-28 alleles เมื่อนำไปตรวจความแปรผันทางพันธุกรรมในตัวอย่างกุ้ง 4 กลุ่ม คือสตูล ตรัง พังงา และชุมพร โดยการตรวจความแปรผันที่ตำแหน่ง CUPmo18 locus พบว่ากุ้งจากทะเลอันดามัน คือ สตูล ตรัง และพังงา มีความแตกต่างอย่างมีนัยสำคัญ (P&lt;0.05) กับกุ้งจากอ่าวไทย คือ กุ้งชุมพร
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Perfect square' for particular source types:
Journal articles Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography