To see the other types of publications on this topic, follow the link: Parabola.
Journal articles on the topic 'Parabola'
Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles
Consult the top 50 journal articles for your research on the topic 'Parabola.'
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.
Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.
1
Huddy, Stanley R., and Michael A. Jones. "All parabolas through three non-collinear points." Mathematical Gazette 102, no. 554 (June 18, 2018): 203–9. http://dx.doi.org/10.1017/mag.2018.51.
Full textAbstract:
If no two of three non-collinear points share the same x-coordinate, then the parabola y = a2x2 + a1x + a0 through the points is easily found by solving a system of linear equations. That is but one of an infinite number of parabolas through the three points. How does one find the other parabolas? In this note, we find all parabolas through any three non-collinear points by reducing the problem to finding the equation of a parabola by using rotations.The parabola y = a2x2 + a1x + a0 has an axis of symmetry parallel to the y-axis. Other parabolas have an axis of symmetry that is parallel to some line y = mx. We focus on the angle θ that the axis of symmetry makes with the y-axis, as in Figure 1, so that tanθ = 1/m. To find the parabola associated with θ that goes through three non-collinear points, we rotate the three points counterclockwise by θ, find the equation of the parabola, and then rotate the parabola (and the three points) counterclockwise back by −θ so that the parabola goes through the original points.
2
Wang, Hai Yang, Xian Qing Lei, and Jing Wei Cui. "Parabola Error Evaluation Using Geometry Ergodic Searching Algorithm." Applied Mechanics and Materials 333-335 (July 2013): 1465–68. http://dx.doi.org/10.4028/www.scientific.net/amm.333-335.1465.
Full textAbstract:
A method of parabola error evaluation using Geometry Ergodic Searching Algorithm (GESA) was proposed according to geometric features and fitting characteristics of parabola error. First , the feature points of least-squared parabola are set as reference feature points to layout a group of auxiliary feature grid points. After that, a series of auxiliary parabolas as assumed ideal parabolas are reversed with the auxiliary feature points.The range distance from given points to these assumptions ideal parabolas are calculated successively.The minimum one is parabola profile error.The process of GESA was detailed discribed including the algorithm formula and contrastive results in this paper.Simulation experiment results show that the geometry ergodic searching algorithm is more accurate than the least-square method. The parabola profile error can be evaluated steadily and precisely with this algorithm based on the minimum zone.
3
Hayah, Ni, Bakri Mallo, and I. Nyoman Murdiana. "PROFIL PEMAHAMAN KONSEP MATEMATIKA DITINJAU DARI GAYA KOGNITIF FIELD INDEPENDENT (FI) DAN FIELD DEPENDENT (FD)." Aksioma 8, no. 2 (September 24, 2019): 137–50. http://dx.doi.org/10.22487/aksioma.v8i2.210.
Full textAbstract:
abstrak: Penelitian ini bertujuan untuk mendeskripsikan pemahaman konsep matematika siswa kelas XI SMA Negeri 2 Dampelas dalam menyelesaikan soal pada subpokok bahasan parabola ditinjau dari gaya kognitif Field Independent (FI) dan Field Dependent (FD). Jenis penelitian ini adalah penelitian kualitatif. Subjek dalam penelitian ini terdiri dari satu siswa yang bergaya kognitif FI dan satu siswa yang bergaya kognitif FD. Hasil dari penelitian ini yaitu saat menyajikan masalah, subjek FI dan FD menuliskan hal-hal yang diketahui dan ditanyakan. Selanjutnya dalam mengklasifikasi unsur-unsur parabola, subjek FI mengelompokkan unsur-unsur parabola menurut bentuk parabolanya yaitu parabola horizontal terbuka ke kanan. Kemudian dalam memberi contoh dan non-contoh pada setiap unsur-unsur parabola, subjek FI memberikan contoh dan non-contoh dari setiap unsur-unsur parabola yang diberikan. Kemudian menyajikan masalah persamaan parabola dalam representasi matematis, subjek FI dan subjek FD menyajikan persamaan parabola kedalam bentuk persamaan umum parabola. Kemudian menggunakan, memanfaatkan dan memilih prosedur tertentu dalam menentukan persamaan parabola, subjek FI menggunakan dan memilih persamaan umum parabola horizontal dan subjek FD menggunakan persamaan umum parabola walaupun subjek tidak mengetahui jenis persamaan umum parabola yang digunakan. Kemudian subjek FI menjelaskan kembali prosedur yang digunakan serta memberikan alasannya dengan menggunakan bahasanya sendiri dan subjek FD menjelaskan kembali prosedur yang digunakan walaupun dalam proses penyelesaiannya siswa belum memahami dengan baik langkah-langkah yang harus digunakan.
Kata Kunci: Profil; Pemahaman konsep matematika; Parabola;
abstract: This study aims to describe the understanding of mathematical concepts of class XI students of SMA 2 Dampelas in solving problems on the subject of the parabolic discussion reviewed from cognitive style of the Independent Field (FI) and Field Dependent (FD). This type of research is qualitative research. The subjects in this study consisted of one student who was in the cognitive style of FI and one student in the cognitive style of FD. The results of this study are when presenting a problem, FI and FD subject write things that are known and asked. Furthermore, in classifying parabolic elements, FI subjects classify parabolic elements according to their parabolic forms, namely horizontal parabola open to the right. Then in giving examples and non-examples of each parabolic element, the FI subject gives examples and non-examples of each parabolic element given. Then presenting the problem of parabolic equations in mathematical representations, the subject FI and subject FD present the parabolic equation in the form of a general parabolic equation. Then using, utilizing and selecting a particular procedure in determining the parabolic equation, FI subject uses and selects the general horizontal parabolic equation and the FD subject uses the general parabolic equation even though the subject does not know the type of general parabolic equation used. Then the FI subject explains the procedure used again and gives the reason using its own language and the FD subject explains the procedure used even though in the process of completion students do not understand the steps that must be used properly.
Keywords: Profile; Understanding of mathematical concepts; Parabolic
4
Acharya, Aviseka, Sonja Brungs, Yannick Lichterfeld, Jürgen Hescheler, Ruth Hemmersbach, Helene Boeuf, and Agapios Sachinidis. "Parabolic, Flight-Induced, Acute Hypergravity and Microgravity Effects on the Beating Rate of Human Cardiomyocytes." Cells 8, no. 4 (April 14, 2019): 352. http://dx.doi.org/10.3390/cells8040352.
Full textAbstract:
Functional studies of human induced pluripotent stem cell (hiPSC)-derived cardiomyocytes (hCMs) under different gravity conditions contribute to aerospace medical research. To study the effects of altered gravity on hCMs, we exposed them to acute hypergravity and microgravity phases in the presence and absence of the β-adrenoceptor isoprenalin (ISO), L-type Ca2+ channel (LTCC) agonist Bay-K8644, or LTCC blocker nifedipine, and monitored their beating rate (BR). These logistically demanding experiments were executed during the 66th Parabolic Flight Campaign of the European Space Agency. The hCM cultures were exposed to 31 alternating hypergravity, microgravity, and hypergravity phases, each lasting 20–22 s. During the parabolic flight experiment, BR and cell viability were monitored using the xCELLigence real-time cell analyzer Cardio Instrument®. Corresponding experiments were performed on the ground (1 g), using an identical set-up. Our results showed that BR continuously increased during the parabolic flight, reaching a 40% maximal increase after 15 parabolas, compared with the pre-parabolic (1 g) phase. However, in the presence of the LTCC blocker nifedipine, no change in BR was observed, even after 31 parabolas. We surmise that the parabola-mediated increase in BR was induced by the LTCC blocker. Moreover, the increase in BR induced by ISO and Bay-K8644 during the pre-parabola phase was further elevated by 20% after 25 parabolas. This additional effect reflects the positive impact of the parabolas in the absence of both agonists. Our study suggests that acute alterations of gravity significantly increase the BR of hCMs via the LTCC.
5
Kilner, Steven J., and David L. Farnsworth. "Pairing theorems about parabolas through duality." Mathematical Gazette 105, no. 564 (October 13, 2021): 385–96. http://dx.doi.org/10.1017/mag.2021.105.
Full textAbstract:
We investigate the pairing of theorems about parabolas through a dual transformation. Theorems and constructions concerning a parabola in a two-dimensional space can be in one-to-one correspondence with theorems and constructions concerning a parabola in the two-dimensional dual space. These theorems are called dual theorems.
6
Tang, Hongxin. "Parabolic Detection Algorithm of Tennis Serve Based on Video Image Analysis Technology." Security and Communication Networks 2021 (November 29, 2021): 1–9. http://dx.doi.org/10.1155/2021/7901677.
Full textAbstract:
At present, the existing algorithm for detecting the parabola of tennis serves neglects the pre-estimation of the global motion information of tennis balls, which leads to great error and low recognition rate. Therefore, a new algorithm for detecting the parabola of tennis service based on video image analysis is proposed. The global motion information is estimated in advance, and the motion feature of the target is extracted. A tennis appearance model is established by sparse representation, and the data of high-resolution tennis flight appearance model are processed by data fusion technology to track the parabolic trajectory. Based on the analysis of the characteristics of the serve mechanics, according to the nonlinear transformation of the parabolic trajectory state vector, the parabolic trajectory starting point is determined, the parabolic trajectory is obtained, and the detection algorithm of the parabolic service is designed. Experimental results show that compared with the other two algorithms, the algorithm designed in this paper can recognize the trajectory of the parabola at different stages, and the detection accuracy of the parabola is higher in the three-dimensional space of the tennis service.
7
Botvynovska, Svitlana, Zhanetta Levina, and Hanna Sulimenko. "IMAGING OF A HYPERBOLIC PARABOLOID WITH TOUCHING LINE WITH THE PARABOLAL WRAPPING CONE." Management of Development of Complex Systems, no. 48 (December 20, 2021): 53–60. http://dx.doi.org/10.32347/2412-9933.2021.48.53-60.
Full textAbstract:
The paper is dedicated to architectural structures modeling by means of computer-graphics. Images on the monitor represent perspective. That’s why the images could be assessed from the most convenient points as viewer’s position is considered to be the perspective center. Non-rectilinear profile makes the structure the most impressive. The hyperbolic paraboloid surface is researched. Parabolas and hyperbolas are the only forms of its sections except for tangent planes cases. Parabolas as contact lines are reviewed. Hyperbolic paraboloid is an infinite surface that’s why only a portion of it could be modeled. Four link space zigzag ({4l} indicator) is its best representation. In such case the non-rectilinear profile should be represented as a curve of second order semicircular arc. Modeling of a limited section does not affect the final modeling because the {4l} representation makes the depiction of all surface in that frame of axis that have the identified hyperbolic paraboloid looks like a cone. The paper’s objective is development of imaging technique using parabolic contact lines to design hyperbolic paraboloid surface and applicable to several surfaces of the same construction. To do so, parameter analysis of the task is conducted, the applicable theory is identified, and the hyperbolic paraboloid imaging technique using the set profile line in the form of any curve of second order is conducted, namely the imaging technique for contact parabola and the set of hyperbolic paraboloids which it set forth. The set of plans that may contain the parabolic contact line set is two-parameter. However, in general, the position of those planes is remains unknown. Thus, the task is as follows: find the third point of the plane that intersects the given wrapping cone along the parabola when the two points are given. These two points must belong to the same forming line on the cone. The imaging requires 7 parameters whereas the hyperbolic paraboloid has 8 parameters. That’s why with one parabolic contact line and given wrapping cone of the second order one-parameter set of hyperbolic paraboloids could be imaged. The paper shows how to image the contact line if the profile line is given as a parabola, ellipse, or hyperbola. The portion of one hyperbolic paraboloid may imaged when the parameters are aligned and any other bisecant of same perspective line of shape. Two portions of parabola conjugated due to the joint wrapping cone hyperbolic paraboloid imaging is demonstrated.
8
Guerrero-Turrubiates, Jose de Jesus, Ivan Cruz-Aceves, Sergio Ledesma, Juan Manuel Sierra-Hernandez, Jonas Velasco, Juan Gabriel Avina-Cervantes, Maria Susana Avila-Garcia, Horacio Rostro-Gonzalez, and Roberto Rojas-Laguna. "Fast Parabola Detection Using Estimation of Distribution Algorithms." Computational and Mathematical Methods in Medicine 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/6494390.
Full textAbstract:
This paper presents a new method based on Estimation of Distribution Algorithms (EDAs) to detect parabolic shapes in synthetic and medical images. The method computes a virtual parabola using three random boundary pixels to calculate the constant values of the generic parabola equation. The resulting parabola is evaluated by matching it with the parabolic shape in the input image by using the Hadamard product as fitness function. This proposed method is evaluated in terms of computational time and compared with two implementations of the generalized Hough transform and RANSAC method for parabola detection. Experimental results show that the proposed method outperforms the comparative methods in terms of execution time about93.61%on synthetic images and89%on retinal fundus and human plantar arch images. In addition, experimental results have also shown that the proposed method can be highly suitable for different medical applications.
9
Stavek, Jiri. "Galileo’s Parabola Observed from Pappus’ Directrix, Apollonius’ Pedal Curve (Line), Galileo’s Empty Focus, Newton’s Evolute, Leibniz’s Subtangent and Subnormal, Ptolemy’s Circle (Hodograph), and Dürer-Simon Parabola (16.03.2019)." Applied Physics Research 11, no. 2 (March 30, 2019): 56. http://dx.doi.org/10.5539/apr.v11n2p56.
Full textAbstract:
Galileo’s Parabola describing the projectile motion passed through hands of all scholars of the classical mechanics. Therefore, it seems to be impossible to bring to this topic anything new. In our approach we will observe the Galileo’s Parabola from Pappus’ Directrix, Apollonius’ Pedal Curve (Line), Galileo’s Empty Focus, Newton’s Evolute, Leibniz’s Subtangent and Subnormal, Ptolemy’s Circle (Hodograph), and Dürer-Simon Parabola. For the description of events on this Galileo’s Parabola (this conic section parabola was discovered by Menaechmus) we will employ the interplay of the directrix of parabola discovered by Pappus of Alexandria, the pedal curve with the pedal point in the focus discovered by Apollonius of Perga (The Great Geometer), and the Galileo’s empty focus that plays an important function, too. We will study properties of this MAG Parabola with the aim to extract some hidden parameters behind that visible parabolic orbit in the Aristotelian World. For the visible Galileo’s Parabola in the Aristotelian World, there might be hidden curves in the Plato’s Realm behind the mechanism of that Parabola. The analysis of these curves could reveal to us hidden properties describing properties of that projectile motion. The parabolic path of the projectile motion can be described by six expressions of projectile speeds. In the Dürer-Simon’s Parabola we have determined tangential and normal accelerations with resulting acceleration g = 9.81 msec-2 directing towards to Galileo’s empty focus for the projectile moving to the vertex of that Parabola. When the projectile moves away from the vertex the resulting acceleration g = 9.81 msec-2 directs to the center of the Earth (the second focus of Galileo’s Parabola in the “infinity”). We have extracted some additional properties of Galileo’s Parabola. E.g., the Newtonian school correctly used the expression for “kinetic energy E = ½ mv2 for parabolic orbits and paths, while the Leibnizian school correctly used the expression for “vis viva” E = mv2 for hyperbolic orbits and paths. If we will insert the “vis viva” expression into the Soldner’s formula (1801) (e.g., Fengyi Huang in 2017), then we will get the right experimental value for the deflection of light on hyperbolic orbits. In the Plato’s Realm some other curves might be hidden and have been waiting for our future research. Have we found the Arriadne’s Thread leading out of the Labyrinth or are we still lost in the Labyrinth?
10
Amick, H. Louise. "Sharing Teaching Ideas: A Unique Slope For A Parabola." Mathematics Teacher 88, no. 1 (January 1995): 38. http://dx.doi.org/10.5951/mt.88.1.0038.
Full textAbstract:
While exploring the sketching of parabolas in the form y = a(x − h)2 + k in a precalculus class, the discussion turned to the effect of a on the appearance of the curve. We observed that for | a | > 1, the parabola stretched away from the x-axis, making its sides steeper, whereas for | a | < 1, the parabola was seen to contract toward the x-axis, making its sides less steep. A student then asked, “Is a similar to m in the equation y = mx + b, so that it could be called the slope of the parabola?”
11
Huda, Muhammad Fatihul Huda. "Alat Penggerak Parabola Otomatis pada Satelit Ku-band Berbasis Mikrokontroler." Jurnal JEETech 1, no. 2 (October 21, 2020): 85–89. http://dx.doi.org/10.48056/jeetech.v1i2.10.
Full textAbstract:
ABSTRAK
Penelitian ini bertujuan merancang sebuah alat pengendali parabola yang dapat mencari sinyal satelit ku-band secara otomatis yang dikendalikan oleh mikrokontroler Atmega328, menggunakan 2 motor servo sebagai penggerak untuk menggerakkan parabola kearah barat dan ketimur dan juga menggerakkan kearah utara keselatan, progam pada mikrokontroler memberikan perintah untuk menggerakkan 2 motor servo dan menghentikanya jika terdapat sinyal audio yang terdeteksi oleh komparator yang dikirimkan ke mikrokontroler.
Hasil dari penelitian ini adalah perancangan dan pembuatan alat pengendali parabola bergerak mencari sinyal pada satelit ku-band. Reflektor yang digunakan berbahan plat baja berdiameter 45 cm dengan tinggi tiang fokus 39 cm. Desain dari pengendali parabola ini terdiri dari 5 komponen utama, dimana komponen pertama sebagai tiang penopang dari reflektor yang terbuat dari besi, komponen kedua Reflektor berdiameter 45 cm yang terbuat dari plat besi, komponen yang ketiga LNB sebagai penerima dari sinyal yang di pantulkan oleh reflektor, komponen keempat rangkaian komparator dengan IC LM324 dan komponen yang kelima mikrokontroler sebagai pengontrol dari pergerakan parabola.
Kata Kunci : Mikrokontroler, Komparator, Parabola, Satelit Ku-band, Sinyal audio
ABSTRACT
The aim of this study is to design a parabolic controller that can seek for Ku-band satellite signals automatically which controlled by the Atmega328 microcontroller, by using two servo motor as activator to stirring the parabola toward west to east and also stirring toward north to south. The program on the microcontroller gives the command to move 2 motor serves and stop it if there is an audio signal detected by the comparator which sent to the microcontroller.
The results of this study are design and generation of parabola control tool which move to looking for signals on ku-band. The reflector that used is made by steel plate on a diameter of 45 cm with a height of 39 cm focus pole. The design of this parabolic controller consists of 5 main components where the first component is a supporting post of a reflector made by iron, the second component is reflector with diameter of 45 centimeter that made by iron, the third component is LNB as receiver of the signal reflected by the reflector, the fourth component is network comparator with IC LM324 and the fifth is microcontroller as a controller movement of a parabola.
Keywords : Microcontroller, Comparator, Parabolic, Ku-Band Satellite, Audio Signal
12
Kim, Dong-Soo, Young Ho Kim, Hyeong-Kwan Ju, and Kyu-Chul Shim. "Area properties associated with a convex plane curve." Georgian Mathematical Journal 24, no. 3 (September 1, 2017): 429–37. http://dx.doi.org/10.1515/gmj-2016-0027.
Full textAbstract:
AbstractArchimedes knew that for a point P on a parabola X and a chord AB of X parallel to the tangent of X at P, the area of the region bounded by the parabola X and chord AB is four thirds of the area of the triangle {\bigtriangleup ABP}. Recently, the first two authors have proved that this fact is the characteristic property of parabolas.In this paper, we study strictly locally convex curves in the plane {{\mathbb{R}}^{2}}. As a result, generalizing the above mentioned characterization theorem for parabolas, we present two conditions, which are necessary and sufficient, for a strictly locally convex curve in the plane to be an open arc of a parabola.
13
Szabó, Z. "Parabola - parabola combined method." Miskolc Mathematical Notes 5, no. 1 (2004): 105. http://dx.doi.org/10.18514/mmn.2004.73.
Full text
14
SANDI, EFRI, AODAH DIAMAH, and ARDI IMAM SANTOSO. "Desain Antena Reflektor Parabola untuk Aplikasi Radar Maritim dengan Rekayasa Feed Horn." ELKOMIKA: Jurnal Teknik Energi Elektrik, Teknik Telekomunikasi, & Teknik Elektronika 11, no. 2 (April 17, 2023): 451. http://dx.doi.org/10.26760/elkomika.v11i2.451.
Full textAbstract:
ABSTRAKPada studi ini dilakukan analisis penambahan batang metal berbentuk persegi di dalam feed horn piramida antena reflektor parabola untuk meningkatkan performansi gain, beamwidth dan side lobe level. Kebutuhan utama antena radar maritim adalah memiliki gain yang besar ≥ 27 dB, beamwidth kecil ≤ 2o, dan side lobe level yang rendah ≤ -30 dB. Oleh karena itu, perlu diajukan teknik desain antena parabola dengan penambahan batang metal berbentuk persegi di dalam feed horn piramida untuk meningkatkan performasi gain, beamwidth dan side lobe level. Hasilnya dapat meningkatkan gain antena reflektor parabola menjadi 36,9 dB, memperkecil beamwidth menjadi 1,9o dan menekan side lobe level menjadi 31,4 dB. Hasil studi ini mengkonfirmasi bahwa teknik desain dengan menambahkan batang metal persegi di dalam feed horn piramida antena reflektor parabola dapat meningkatkan performasi gain, beamwidth dan side lobe level lebih baik dibandingkan desain tanpa penambahan batang metal persegi.Kata kunci: antena parabola, feed horn piramida, antena radar maritim, gain ABSTRACTIn this study, an analysis of the addition of square-shaped metal rods was carried out in the pyramid feed horn of a parabolic reflector antenna to increase gain, beamwidth and side lobe level performance. The main requirement for a maritime radar antenna is to have a large gain ≥ 27 dB, a small beamwidth of ≤ 2o, and a low side lobe level of ≤ -30 dB. Therefore, it is necessary to propose a parabolic antenna design technique with the addition of a rectangular metal rod inside the pyramidal feed horn to improve gain, beamwidth and side lobe level performance. The result can increase the gain of the parabolic reflector antenna to 36.9 dB, reduce the beamwidth to 1.9o and suppress the side lobe level to 31.4 dB. The results of this study confirm that the design technique by adding a square metal rod in the pyramid feed horn of a parabolic reflector antenna can improve gain, beamwidth and side lobe level performance better than the design without the addition of square metal rods.Keywords: parabolic antenna, pyramid feed horn, maritime radar antenna, gain
15
Vulpe, Nicolae. "Family of quadratic differential systems with invariant parabolas: a complete classification in the space R 12." Electronic Journal of Qualitative Theory of Differential Equations, no. 22 (2024): 1–68. http://dx.doi.org/10.14232/ejqtde.2024.1.22.
Full textAbstract:
Consider the class Q S of all non-degenerate planar quadratic differential systems and its subclass Q S P of all its systems possessing an invariant parabola. This is an interesting family because on one side it is defined by an algebraic geometric property and on the other, it is a family where limit cycles occur. Note that each quadratic differential system can be identified with a point of R 12 through its coefficients. In this paper, we provide necessary and sufficient conditions for a system in Q S to have at least one invariant parabola. We give the global “bifurcation” diagram of the family $ Q S which indicates where a parabola is present or absent and in case it is present, the diagram indicates how many parabolas there could be, their reciprocal position and what kind of singular points at infinity (simple or multiple) as well as their multiplicities are the points at infinity of the parabolas. The diagram is expressed in terms of affine invariant polynomials and it is done in the 12-dimensional space of parameters.
16
Chiuini, Michele. "The parabola of the parabolic arch." IABSE Symposium Report 104, no. 10 (May 13, 2015): 1–7. http://dx.doi.org/10.2749/222137815815775439.
Full text
17
Naufal, Muhamad, Tannie Wiyuna, Annisa Deutschlant Bintarum, and Ahmad Fakhri Burhanudin. "Desain Simulasi Gerak Parabola Sebagai Pemanfaatan Pembelajaran Fisika SMA Kelas X Menggunakan Pygame." Mitra Pilar: Jurnal Pendidikan, Inovasi, dan Terapan Teknologi 1, no. 2 (December 31, 2022): 155–70. http://dx.doi.org/10.58797/pilar.0102.08.
Full textAbstract:
Abstract In presenting learning media, teachers use various interesting simulations for their students. This research aims to develop learning media through interactive simulations on parabolic motion material. Parabolic motion is a two-dimensional motion that requires accurate analysis to understand it. Pygame is a Python programming language specifically written to make games. The development procedure uses a four-D model, which consists of the defining, designing, developing, and deploying stages. The results showed that interactive simulation learning media could be used for student learning media in analyzing the factors that influence parabolic motion. This shows that the developed simulation media is feasible to use in learning. However, further development needs to be carried out to obtain more interesting and more complete simulation media. The simulation results can be used as teaching materials in high school physics parabolic motion material. Abstrak Dalam menyajikan media pembelajaran, guru banyak memanfaatkan berbagai macam simulasi yang menarik bagi siswanya. Penelitian ini adalah penelitian pengembangan yang bertujuan untuk mengembangkan media pembelajaran berupa simulasi yang interaktif pada materi gerak parabola. Gerak parabola merupakan gerak dua dimensi yang membutuhkan analisis yang akurat dalam memahaminya. Pygame merupakan salah satu bahasa pemrograman python yang ditulis khusus untuk membuat game. Prosedur pengembangannya menggunakan model four-D yang terdiri dari tahap pendefinisian, perancangan, pengembangan, dan penyebaran. Hasil penelitian menunjukkan bahwa media pembelajaran simulasi interaktif dapat dipakai untuk media pembelajaran siswa dalam menganalisis faktor-faktor yang mempengaruhi gerak parabola. Hal ini menunjukkan bahwa pengembangan media simulasi yang dikembangkan layak digunakan dalam pembelajaran. Namun pengembangan lanjutan perlu dilakukan agar diperoleh media simulasi yang lebih menarik dan lebih lengkap. Hasil simulasi dapat digunakan sebagai bahan ajar di fisika SMA materi Gerak Parabola
18
Stavek, Jiri. "Newton’s Parabola Observed from Pappus’ Directrix, Apollonius’ Pedal Curve (Line), Newton’s Evolute, Leibniz’s Subtangent and Subnormal, Castillon’s Cardioid, and Ptolemy’s Circle (Hodograph) (09.02.2019)." Applied Physics Research 11, no. 2 (February 25, 2019): 30. http://dx.doi.org/10.5539/apr.v11n2p30.
Full textAbstract:
Johannes Kepler and Isaac Newton inspired generations of researchers to study properties of elliptic, hyperbolic, and parabolic paths of planets and other astronomical objects orbiting around the Sun. The books of these two Old Masters “Astronomia Nova” and “Principia…” were originally written in the geometrical language. However, the following generations of researchers translated the geometrical language of these Old Masters into the infinitesimal calculus independently discovered by Newton and Leibniz. In our attempt we will try to return back to the original geometrical language and to present several figures with possible hidden properties of parabolic orbits. For the description of events on parabolic orbits we will employ the interplay of the directrix of parabola discovered by Pappus of Alexandria, the pedal curve with the pedal point in the focus discovered by Apollonius of Perga (The Great Geometer), and the focus occupied by our Sun discovered in several stages by Aristarchus, Copernicus, Kepler and Isaac Newton (The Great Mathematician). We will study properties of this PAN Parabola with the aim to extract some hidden parameters behind that visible parabolic orbit in the Aristotelian World. In the Plato’s Realm some curves carrying hidden information might be waiting for our research. One such curve - the evolute of parabola - discovered Newton behind his famous gravitational law. We have used the Castillon’s cardioid as the curve describing the tangent velocity of objects on the parabolic orbit. In the PAN Parabola we have newly used six parameters introduced by Gottfried Wilhelm Leibniz - abscissa, ordinate, length of tangent, subtangent, length of normal, and subnormal. We have obtained formulae both for the tangent and normal velocities for objects on the parabolic orbit. We have also obtained the moment of tangent momentum and the moment of normal momentum. Both moments are constant on the whole parabolic orbit and that is why we should not observe the precession of parabolic orbit. We have discovered the Ptolemy’s Circle with the diameter a (distance between the vertex of parabola and its focus) where we see both the tangent and normal velocities of orbiting objects. In this case the Ptolemy’s Circle plays a role of the hodograph rotating on the parabolic orbit without sliding. In the Plato’s Realm some other curves might be hidden and have been waiting for our future research. Have we found the Arriadne’s Thread leading out of the Labyrinth or are we still lost in the Labyrinth?
19
Wen, Hui, and Feng Ling Li. "A Simplified Formula to Calculate the Initial Value of Iteration for Contracted Depth in Quadratic Parabola Shaped Channels." Applied Mechanics and Materials 744-746 (March 2015): 1039–44. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.1039.
Full textAbstract:
At present, the complexity of calculation process and expression form of the initial value of iteration for contracted depth in quadratic parabola shaped channels,Seek a new iterative initial value formula for contracted depth in quadratic parabola shaped channels. Through an identical deformation on the basic equation for contracted depth in quadratic parabola shaped channels. Deduce the iterative formula for computing the quadratic parabola section contraction water depth. Introduction the dimensionless contraction water depth concept, plot the dimensionless contraction water depth and the dimensionless parameter relationship curves. Determine the iterative formula of initial value form for quadratic parabolic shaped channels, and based on the theory of optimum fitting, by the minimum residual standard differential and simple form of formula as the goal, the initial iteration value formula for calculation contracted depth in quadratic parabola shaped channels was obtained. It is greatly accelerating the convergence rate iterative calculations. The calculation of a practical case and error analysis of the depth calculations show that in the utility range of , its maximum relative error is less than 0.26% after performing one iteration. This formula has definite physics concept, easy calculation, high precision and wide range compared with the existing formulas. It will bring great convenience for designers.
20
Sharma, N. K., Ashok Kumar Mishra, and P. Rajgopal. "Design of Low-Cost Solar Parabolic Through Steam Sterilization." International Journal of Biomedical and Clinical Engineering 10, no. 1 (January 2021): 50–60. http://dx.doi.org/10.4018/ijbce.2021010104.
Full textAbstract:
The objective of this study is to develop a low cost solar parabolic trough that can be used for steam sterilization of medical instruments in small clinics where electricity is scarce and expensive. On the basis of theoretical concepts of parabola and focus-balanced parabola, the assembly of ribs and reflector sheet with evacuated tube and heat pipe has been done. The parabolic trough has been mounted on a trolley so that it can be moved easily according to direction of sun light. The designed solar parabolic trough was integrated with pressure cooker under various setups and experiments were conducted to test whether sterilization is taking place or not. To validate sterilization process, tests were also conducted by placing the infected medical instruments. The solar parabolic trough developed was able to generate and maintain steam at 121 degrees Celsius at pressure 15 psig (101.3 kN/m2) for 15 minutes. The solar parabolic trough developed was effective in sterilizing the medical instruments.
21
Stojanov, V. V., S. J. Jgalli, and V. O. Stojanov. "THE CONSTITUENT ELEMENTS STRUCTURES COVERING OF HYPERBOLIC PARABOLOID." ACADEMIC JOURNAL Series: Industrial Machine Building, Civil Engineering 1, no. 48 (March 27, 2017): 54–61. http://dx.doi.org/10.26906/znp.2017.48.769.
Full textAbstract:
Hypar is a hyperbolic paraboloid representing translational ruled developable anti classical surface, i.e., the surface of negative Gaussian curvature. Shaping of the parabolic elements corresponds to buckling of the shell and the main tensile forces are arranged in the ascending direction of parabolas, and the main compression force - in the direction of the descending parabola. Composite materials are formed from the combination of two or more layered materials, each having very different properties. ANSYS Composite PrepPost software provides all the necessary functionality for the analysis of layered composite structures. The paper discloses a possibility of using for shell covering negative curvature. Design solutions into constituent elements structures and computations such structures are presented.
22
Vinogradov, L. V., and A. V. Kostyukov. "Computer-aided designing of turbine blades with parabolic contours." Izvestiya MGTU MAMI 7, no. 1-1 (January 10, 2013): 41–47. http://dx.doi.org/10.17816/2074-0530-68151.
Full textAbstract:
In the paper the authors study the problem of turbine blades design. For computer-aided design in Mathcad the application program was developed as an element of the CAD system. A blade is shaped by three parabolas: back side– by one parabola, and pressure side – by two parabolas prescribing the maximum thickness of the profile. The program was tested on more than 30 profiles of blades for gas turbine engines.
23
Gajdardziska-Josifovska, M., and J. M. Cowley. "Geometrical explanation of parabolas and resonance in electron diffraction." Proceedings, annual meeting, Electron Microscopy Society of America 47 (August 6, 1989): 498–99. http://dx.doi.org/10.1017/s0424820100154469.
Full textAbstract:
Reflection electron microscopy (REM) relies on the surface resonance (channeling) conditions for enhancement of the intensity of the specular reflection from a flat surface of a single crystal. The two most frequently cited geometries for attaining surface resonance conditions are: i) tilting the incident beam such that the specular beam in the RHEED pattern falls on an intersection of a K-line parallel to the surface with some oblique K-line; ii) positioning the specular beam on an intersection of a K-Iine parallel to the surface with some of the surface resonance regions bound by parabolas. Parabolas are also observed in the transmission diffraction patterns and have been explained as Kikuchi envelopes. Recent studies indicated a similarity between the CBED transmission and reflection patterns. We will describe a simple geometry which can be used to interpret the above observations.A parabola is by definition a curve of equal distance from a point (called focus) and a line (called directrix; see Fig.1 ).Simple previously unnoticed facs are that the zone axis is a focal point of all the parabolas belonging to a given zone, and that the directrix of each parabola corresponds to a K-line.
24
Mijajlovic, Z., N. Pejovic, G. Damljanovic, and D. Ciric. "Envelopes of cometary orbits." Serbian Astronomical Journal, no. 177 (2008): 101–7. http://dx.doi.org/10.2298/saj0877101m.
Full textAbstract:
We discuss cometary orbits from the standpoint of Nonstandard (Leibnitz) analysis, a relatively new branch of mathematics. In particular, we consider parabolic cometary paths. It appears that, in a sense, every parabola is an ellipse.
25
Żyto, Kamila. "„Chyba w ten sposób toczy się ta ludzka komedia przez całe pokolenia drogą na Zachód i przez pustynie”. Paraboliczność w kinie braci Coen." Załącznik Kulturoznawczy, no. 9 (2022): 685–718. http://dx.doi.org/10.21697/zk.2022.9.35.
Full textAbstract:
The Coen brothers stylized films, full of quotations and borrowings, are for many scholars the quintessence of a postmodern game with remnants, interpretive openness, and ambiguity. This fact does not incline to look in these films for the rules governing the world or human existence what is typical of parabolic thinking. The article is an attempt to demonstrate that the makers of the Oscar-winning Fargo (Fargo, 1996) often use in their work elements, tricks, or strategies typical of a traditional parabola, though their films may often be read as its contemporary invariants. Numerous Coens’ films bear the hallmarks of parabolic texts, even if in this case one cannot speak of a parabola as a genre. The messages they contain are never unambiguous and are not intended to educate. However, owing to their enigmatic nature, they encourage viewers to search for extra meanings.
26
Zhu, Yuanchao, Dazhao Zhang, Yanlin Lai, and Huabiao Yan. "Shape adjustment of "FAST" active reflector." Highlights in Science, Engineering and Technology 1 (June 14, 2022): 391–400. http://dx.doi.org/10.54097/hset.v1i.493.
Full textAbstract:
Abstract. In this paper, the relevant working principle of "FAST" Chinese Eye is studied, and a mathematical model is established to solve the equation of the ideal paraboloid. The ideal paraboloid model is obtained by rotating the paraboloid around the axis in the two-dimensional plane. On this basis, the specific solutions of each question are discussed, and the parabolic equation, the receiving ratio of the feed cabin to the reflected signal, the numbering information and coordinates of the main cable node and other parameters are obtained. This paper for solving directly above the benchmark of spherical observation of celestial bodies when ideal parabolic equation, according to the geometrical optics to knowledge should be clear all the signals of the incoming signal after the ideal parabolic will converge to the focal point of basic rules, then through converting ideal parabolic model of ideal parabolic equation in a two-dimensional plane, An optimization model was established to minimize the absolute value of the difference between the arc length and the arc length of the parabola in the diameter of 300 meters. The known conditions were substituted into Matlab to solve the equation of the ideal parabola by rotating the parabola around the axis: . In order to determine the ideal paraboloid of the celestial body, a new spatial cartesian coordinate system is first established with the line direction between the celestial body and the spherical center as the axis, so that the observed object is located directly above the new coordinate system. The same model in question 1 is established to obtain the vertex coordinates of the ideal paraboloid at this time. Then the vertex coordinates are converted to the coordinates in the original space cartesian coordinate system by rotation transformation between space cartesian coordinate systems. The solution of its vertex coordinates (-49.5287, -37.0203, -294.1763).
27
S. Nayyef, Murtadha, and Naz T. Jaralla. "Determine Most Stable Isobar for Nuclides with A= (15-30) & (101- 115)." Ibn AL- Haitham Journal For Pure and Applied Sciences 33, no. 4 (October 20, 2020): 18–26. http://dx.doi.org/10.30526/33.4.2520.
Full textAbstract:
In this study the most stable isobar for some isobaric families (light and intermediate ) nuclei with mass number (A) equals to (15-30) & (101- 115) have been determined. This determination of stable nuclide can help to determine the suitable nuclide, which can be used in different fields.
Most stable isobar can be determined by two means. First: plot mass parabolas (plotting the binding energy (B.E) as a function of the atomic number (Z)) for these isobaric families, in this method most stable isobars represent the lowest point in mass parabola (the nuclide with the highest value of binding energy).
Second: calculated the atomic number for most stable isobar (ZA) value.
Our results show that there is only one stable nuclide for isobars with odd mass number (A) (one mass parabolas), while for nuclides with an even mass number (A) there is more than one stable nuclide (two mass parabola).
Also, our results show that nuclides representing the most stable isobars in the two methods, which used in this study practically, are the same nuclide.
28
SHERMAN, A., and M. SCHREIBER. "INCOMMENSURATE SPIN DYNAMICS IN UNDERDOPED CUPRATE PEROVSKITES." International Journal of Modern Physics B 19, no. 13 (May 20, 2005): 2145–59. http://dx.doi.org/10.1142/s0217979205029808.
Full textAbstract:
The incommensurate magnetic response observed in normal-state cuprate perovskites is interpreted based on the projection operator formalism and the t–J model of Cu-O planes. In agreement with experiment the calculated dispersion of maxima in the susceptibility has the shape of two parabolas with upward and downward branches which converge at the antiferromagnetic wave vector. The maxima are located at the momenta (½, ½ ± δ), (½ ± δ, ½) and at (½ ± δ, ½ ± δ), (½ ± δ, ½ ∓ δ) in the lower and upper parabolas, respectively. The upper parabola reflects the dispersion of magnetic excitations of the localized Cu spins, while the lower parabola arises due to a dip in the spin-excitation damping at the antiferromagnetic wave vector. For moderate doping this dip stems from the weakness of the interaction between the spin excitations and holes near the hot spots. The frequency dependence of the susceptibility is shown to depend strongly on the hole bandwidth and damping and varies from the shape observed in YBa 2 Cu 3 O 7-y to that inherent in La 2-x Sr x CuO 4.
29
Scott, J. W. "Scott's parabola." BMJ 323, no. 7327 (December 22, 2001): 1477. http://dx.doi.org/10.1136/bmj.323.7327.1477.
Full text
30
Guo, Shaoming, Joris Roos, Andreas Seeger, and Po-Lam Yung. "Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2." Proceedings of the Edinburgh Mathematical Society 63, no. 2 (February 3, 2020): 398–412. http://dx.doi.org/10.1017/s0013091519000439.
Full textAbstract:
AbstractLet M(u), H(u) be the maximal operator and Hilbert transform along the parabola (t, ut2). For U ⊂ (0, ∞) we consider Lp estimates for the maximal functions sup u∈U|M(u)f| and sup u∈U|H(u)f|, when 1 < p ≤ 2. The parabolas can be replaced by more general non-flat homogeneous curves.
31
Belserene, Emilia Pisani. "Moving Through The Instability Strip." International Astronomical Union Colloquium 139 (1993): 419. http://dx.doi.org/10.1017/s025292110011810x.
Full textAbstract:
The purpose: To look at period changes in pulsating variables from the point of view of stellar evolution. Is there evidence of systematic, slow changes that might be caused by the changes in mean density during passage across the Instability Strip?The data: O – C diagrams for 67 RR Lyrae stars and Cepheids by student assistants at the Maria Mitchell Observatory, and for 88 northern Cepheids by L. SzabadosThe method: Least-squares lines and parabolae (unless the O – C diagram shows that the period has changed in both directions). The rate of change of period comes from the coefficient of the square term in the parabola. The principal feature of these analyses is that the rate is taken to be non-zero only if the parabola is significantly better than the linear fit, at the 2-sigma level.
32
NUGROHO, YOSAN AGENG, and WALUYO WALUYO. "Investigasi Sagging Metoda Parabola pada Saluran Transmisi Terhadap Parameter Temperatur pada Saluran 150 Kv pada Gardu Induk Cigereleng." MIND Journal 6, no. 1 (August 1, 2021): 46–56. http://dx.doi.org/10.26760/mindjournal.v6i1.46-56.
Full textAbstract:
AbstrakAndongan adalah bentangan kawat konduktor dari dua ujung titik terendah ditarik garis lurus konduktor tersebut sehingga terbentuk lengkungan kebawah, kekuatan tarik pada andongan berfungsi untuk menahan dari kedua ujung kawat konduktor yang dibentangkan. Besar suatu nilai andongan dapat dilihat dari temperature pada sekeliling saluran transmisi, sehingga siang hari panjang kawat konduktor akan sedikit memanjang diakibatkan sinar matahari, dan sebaliknya malam hari. Untuk mempermudah perhitungan dan analisis andongan dengan menggunakan metoda parabola pada saluran transmisi 150 Kv, dengan hasil perhitungan secara manual. Andongan dengan metoda parabola pada parameter temperature, temperatur 20oC besar andongan 0,0898%, pada temperature 70oC tinggi andongan 0,01186% turun ketika temperature 175oC andongan 0,1544%.Kata kunci: Andongan, temperatur, metoda parabola, gardu induk, saluran transmisi 150 Kv AbstractSagging is main the stretch of conductor wire from the two ends of the lowest point drawn by a straight line of the conductor so that a downward curve is formed, the tensile strength of sagging serves to hold from both ends of the stretched conductor wire the magnitude of a sagging value can be seen from the temperature around the transmission line, so that during the day the length of the conductor wire will be slightly elongated due to sunlight, and vice versa at night. The facilitate for calculation and analysis of the sagging used the parabolic method on a 150 Kv transmission line, with the results of calculations manually. Sagging with parabolic method at temperature parameters, temperature 20 oC large sagging of 0.0898%, at a temperature of 70 oC, the sagging height of 0.01186% decreases when the temperature is 175 oC sagging 0.1544%.Keywords: sagging, temperature, parabolic method, substation, 150 Kv transmission line
33
Salam, Badru, and Sri Latifah. "Pengembangan Projectile Launcher Sebagai Alat Praktikum Sederhana Fisika pada Materi Gerak Parabola." Indonesian Journal of Science and Mathematics Education 2, no. 2 (June 22, 2019): 177–83. http://dx.doi.org/10.24042/ijsme.v2i2.4323.
Full textAbstract:
Abstract:This research is a development research that aims to produce media product projectile launcher as a simple practical tool of physics on parabolic motion material and to know the feasibility of media projectile launcher as a simple practical tool of physics on parabolic motion material. Problems in this research, among others, is how to develop projectile launcher as a simple practical tool of physics on parabolic motion material and how is the response of learners to media projectile launcher as a simple physics practicum tool on parabolic motion material. . Subjects in this study are class IX SMA N 1 Way Tenong and SMA N 2 Way Tenong. This research is a development research using Research and Development (R & D) research method that adopt the development of Borg & Gall that has been modified by sugionoProducts are categorized very feasible based on the validation of material experts with 100% percentage and based on the validation of media experts with a percentage of 100% , as well as Projectile Launcher media are very interesting to be used as teaching materials based on teacher's assessment to get 100% score percentage and student's response in limited group trial to get 95% percentage score for SMA N 1 Way Tenong and 92% for SMA N 2 Way Tenong.Abstrak:Penelitian ini merupakan penelitian pengembangan yang bertujuan untuk menghasilkan produk media projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola dan untuk mengetahui kelayakan dari media projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola. Masalah dalam penelitian ini antara lain bagaimanakah mengembangkan projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola dan bagaimanakah respon peserta didik terhadap media projectile launcher sebagai alat praktikum sederhana fisika pada materi gerak parabola. . Subjek dalam penelitian ini adalah kelas IX SMA N 1 Way Tenong dan SMA N 2 Way Tenong. Penelitian ini merupakan penelitian pengembangan menggunakan metode penelitian Research and Development (R&D) yang mengadopsi pengembangan dari Borg & Gall yang telah dimodifikasi oleh sugionoProduk yang dihasilkan berkategori sangat layak berdasarkan validasi dari ahli materi dengan presentase 100% dan berdasarkan validasi dari ahli media dengan presentase 100%, serta mediaProjectile Launchersangatmenarikuntukdijadikanbahanajarberdasarkanpenilaiangurumemperolehpresentaseskor100% dan respon peserta didik pada uji coba kelompok terbatas memperoleh skor presentase 95% untuk SMA N 1 Way Tenong dan 92% untuk SMA N 2 Way Tenong
34
Tupulu, Nasri N. tupulu, and Heru Jono Parjono. "PENGEMBANGAN PROBLEM BASED LEARNING UNTUK PENGUATAN KONSEP FUNGSI TRIGONOMETRI PADA GERAK PARABOLA." Riemann: Research of Mathematics and Mathematics Education 4, no. 2 (October 31, 2022): 11–17. http://dx.doi.org/10.38114/riemann.v4i2.251.
Full textAbstract:
Penelitian pengembangan problem based learning untuk penguatan pemahaman konsep fungsi trigonometri pada gerak parabola merupakan suatu eksplorasi pelaksanaan pembelajaran matematika fungsi trigonometri melalui dikursus dan bertujuan (1) mendapatkan model based learning sebagai pengembang pembelajaran dari yang digunakan guru, dan (2) untuk mengetahui penggunaan model problem based learning dapat meningkatkan kemampuan pemecahan masalah matematik. Rumusan masalah bagaimana pengembangan model problem based learning untuk penguatan pemahaman konsep fungsi trigonometri pada materi gerak parabola, dan bagaimana keterkaitan antara fungsi trigonometri dengan materi gerak parabola. Metode penelitian yang digunakan observasi, wawancara, angket, dokumen , dan diskusi. Teknik analisa data dengan analisis kualitatif, melalui cara induktif (berdasarkan observasi khusus). Teori pendukung yang digunakan problem based learning didasarkan pada teori pisikologi kognitif. Dari hasil penelitian ditemukan konsep matematika yang diperlukan dalam mempelajari materi gerk parabola yaitu konsep fungsi trigonometri, dan peningkatan pemahaman konsep fungsi trigonometri pada materi gerak parabola ini sangat besar kemungkinan karena dipengaruhi oleh model problem based learning. Kesimpulan (1)model problem based learning yang dikembangkan dapat meningkatkan kemampuan pemecahan masalah matematik pada materi gerak parabola, dan (2) fungsi trigonometri sangat berkaitan dengan materi gerak parabola terutama dalam persamaan persamaan di gerak parabola akan memerlukan perbandingan fungsi trigonometri diantaranya sin, cos , dan tan.
35
Ebrahiem, Sameera Ahmed, and Taghreed A. Younis. "Finding Most Stable Isobar for Nuclides with Mass Number (165- 175) against Beta Decay." NeuroQuantology 19, no. 4 (May 18, 2021): 15–19. http://dx.doi.org/10.14704/nq.2021.19.4.nq21032.
Full textAbstract:
In the beta decay process, a neutron converts into a proton, or vice versa, so the atom in this process changes to a more stable isobar. Bethe-Weizsäcker used a quasi-experimental formula in the present study to find the most stable isobar for isobaric groups of mass nuclides (A=165-175). In a group of isobars, there are two methods of calculating the most stable isobar. The most stable isobar represents the lowest parabola value by calculating the binding energy value (B.E) for each nuclide in this family, and then drawing these binding energy values as a function of the atomic number (Z) in order to obtain the mass parabolas, the second method is by calculating the atomic number value of the most stable isobar (ZA). The results show that the mass parabolas of isobar elements with an even mass number (A=even) vary from the mass parabolas of isobar elements with an odd mass number (A=odd), In the case of single isobars, it has one parabola, meaning that it has one stable isobar, while we find that the pairs isobars appear to have two parabolas, meaning that it has more than one stable isobar. When we compared the two methods used in this study to determine the most stable isobars, we found that in two techniques for odd isobars, stable isobars are mostly the same nuclide, whereas in suitcases of even isobars with two stable isobars (only one of them are same stable isobars).
36
Carlini, Maurizio, Sarah Josephine McCormack, Sonia Castellucci, Anita Ortega, Mirko Rotondo, and Andrea Mennuni. "Modelling and Numerical Simulation for an Innovative Compound Solar Concentrator: Thermal Analysis by FEM Approach." Energies 13, no. 3 (January 22, 2020): 548. http://dx.doi.org/10.3390/en13030548.
Full textAbstract:
The work presents a heat transfer analysis carried out with the use of COMSOL Multiphysics software applied to a new solar concentrator, defined as the Compound Parabolic Concentrator (CPC) system. The experimental measures have been conducted for a truncated CPC prototype system with a half-acceptance angle of 60°, parabola coefficient of 4 m−1 and four solar cells in both covered and uncovered configurations. These data are used to validate the numerical scenario, to be able to use the simulations for different future systems and works. The second challenge has been to change the reflector geometry, the half-acceptance angle (60° ÷ 75°) and the parabola coefficient (3 m−1 ÷ 6 m−1) to enhance the concentration of sun rays on the solar cells. The results show that the discrepancy between experimental data and COMSOL Multiphysics (CM) have led to validate the scenarios considering the average temperature on the solar cells. These scenarios are used for the parametric analysis, observing that the optimal geometry for the higher power and efficiency of the whole system is reached with a lower half-acceptance angle and parabola coefficient.
37
Li, Jia Bin, Gui Bing Zhu, and Zhi Shan Ou. "The Method to Calculate the Length of the Catenary for Anchored Vessel." Applied Mechanics and Materials 624 (August 2014): 356–60. http://dx.doi.org/10.4028/www.scientific.net/amm.624.356.
Full textAbstract:
The length of the anchor chain released directly influence the holding power of anchor and holding power of anchor decides the safety of the ship in the state of anchoring. In order to calculate the length of the catenary for anchored vessel in static hydraulic condition, Parabola and catenary mathematical model has been used in this paper to the data processing. These two kinds of thoughts are both based on the infinitesimal dividing model. The parabola method is using the Taylor series expansion to calculate the results of former 3~5 terms respectively, while catenary one uses the differential solving method. Through the example analysis to compare the accuracy of results obtained by these two methods, the conclusion can be obtained that parabola method is closely related to Taylor expansion terms. For a certain range of the anchored catenary length, the more Taylor series expansion, the more accurate results we can get; the gap of the results calculated by these two methods can be neglected. The catenary method is more accurate than that of parabolic one when the length of the catenary beyond this range.
38
Volenec, Vladimir, Ema Jurkin, and Marija Šimić Horvath. "Covertex Inscribed Triangles of Parabola in Isotropic Plane." KoG, no. 23 (2019): 28–36. http://dx.doi.org/10.31896/k.23.3.
Full textAbstract:
In the paper the concept of a covertex inscribed triangle of a parabola in an isotropic plane is introduced. It is a triangle inscribed to the parabola that has the centroid on the axis of parabola, i.e. whose circumcircle passes through the vertex of the parabola. We determine the coordinates of the triangle centers, and the equations of the lines, circles and conics related to the triangle.
39
Hasan, N. "The Application of Parabola of safety for Physics Problem Solving." BIOMEJ 3, no. 1 (July 21, 2023): 25–29. http://dx.doi.org/10.33005/biomej.v3i1.73.
Full textAbstract:
In this article we calculate the parabola safety and its application for some physics problems. Using equation of motion for projectile we find the Parabola of safety. Deriving the parabola of safety here we used zero descriminant of quadratic equation. Inside parabola safety is unsafe region from projectile.The application of the equation is presented for finding maksimum distance, minimum speed in some cases of problems.
40
Azzahra, Camelia, Entin Halimah Subekti, and Bayu Setiaji. "FISIKA DALAM PERMAINAN BOLA VOLI: PENGARUH BESAR SUDUT TERHADAP SERVIS BAWAH DITINJAU DARI GERAK PARABOLA." JURNAL PEMBELAJARAN FISIKA 12, no. 1 (April 1, 2023): 23. http://dx.doi.org/10.19184/jpf.v12i1.37959.
Full textAbstract:
Parabolic motion is the curved motion of an object whose trajectory is a
parabola. In objects that experience parabolic motion, objects will experience the
farthest distance and the highest point. The farthest distance traveled by an object in
motion with a parabolic trajectory is influenced by the elevation angle formed, this is
because the velocity in the direction of the x-axis and the velocity in the direction of
the y-axis are affected by the magnitude of the angle of elevation formed. The purpose
of this study is to analyze the motion of the parabola on the volleyball serve with a
variety of different angles so that volleyball players can find out the ideal angle for
the under serve so that the ball can fall on target and over the net. This research is
using experimental method. The results of a good and ideal angle when serving under
a volleyball so that the ball falls on target and crosses the net using an initial angle of
600, a falling angle of 250, and with a speed of 11.2 m/s which is analyzed using a
tracker.
41
Laga, Matius Umbu, Debora Natalia Sudjito, and Diane Noviandini. "Desain Modul Pembelajaran Mandiri Tentang Gerak Parabola Pada Bidang Datar dengan Memperhitungkan Gesekan Udara." Jurnal Sains dan Edukasi Sains 2, no. 2 (August 28, 2019): 42–53. http://dx.doi.org/10.24246/juses.v2i2p42-53.
Full textAbstract:
Padatnya materi fisika dan terbatasnya waktu pembelajaran membuat materi yang diajarkan tidak dapat dibahas secara mendalam khususya gerak parabola. Penelitian ini membuat desain modul pembelajaran mandiri gerak parabola pada bidang datar yang dipengaruhi hambatan udara menggunakan simulasi PhET. Tujuan penelitian ini adalah membuat desain modul pembelajaran mandiri gerak parabola pada bidang datar yang dipengaruhi hambatan udara dan mengukur keefektifitasan modul pembelajaran mandiri gerak parabola pada bidang datar yang dipengaruhi hambatan udara. Modul yang dibuat terdiri atas dua bagian utama, yaitu penurunan persamaan besaran-besaran fisis gerak parabola secara matematis dan menyelidiki pengaruh perubahan besaran fisis pada gerak parabola menggunakan simulasi PhET “Projectile Motion” dan Microsoft Excel. Metode penelitian yang digunakan adalah ADDIE (Analysis, Design, Development, Implementation, Evaluate). Sampel penelitian ini terdiri dari tiga orang mahasiswa pendidikan fisika tingkat dua. Berdasarkan tabel rekapitulasi lembar observasi diperoleh persentase keberhasilan 100% dan dari tabel rekapitulasi lembar kuesioner diperoleh respon positif mahasiswa terhadap modul pembelajaran mandiri gerak parabola pada bidang datar yang dipengaruhi hambatan udara sebesar 87%. Hal ini menunjukkan penggunaan modul pembelajaran mandiri yang dibuat efektif dapat membantu mahasiswa dalam menurunkan persamaan-persamaan gerak parabola pada bidang datar yang dipengaruhi hambatan udara, melakukan praktikum secara mandiri menggunakan simulasi PhET dan Microsoft Excel serta dapat memahami materi yang dipelajari.
42
Pathan, Alex. "Euler’s and Barker’s equations: A geometric derivation of the time of flight along parabolic trajectories." Mathematical Gazette 92, no. 523 (March 2008): 39–49. http://dx.doi.org/10.1017/s0025557200182506.
Full textAbstract:
The parabolic orbit is rarely found in nature although the orbits of some comets have been observed to be very close to parabolic. The parabola is of interest mathematically because it represents the boundary between the open and closed orbit forms. An object moving along a parabolic path is on a oneway trip to infinity never being able to retrace the same orbit again. The velocity of such an object is the escape velocity and its total energy is zero.
43
Sidun, Iurii, Khrystyna Sobol, Yurii Novytskyi, and Sergii Rybchynskyi. "FEATURES OF THE MIX TIME OF BITUMEN EMULSIONS WITH CEMENT FOR SLURRY SURFACING TECHNOLOGY." Theory and Building Practice 2023, no. 2 (December 20, 2023): 12–17. http://dx.doi.org/10.23939/jtbp2023.02.012.
Full textAbstract:
Pavement grade cationic bitumen emulsions formulations were developed for Slurry Surfacing based on orthophosphoric and hydrochloric acids with both all-purpose and specialized emulsifiers used. As a result, there were established relations of mix time upon cement - for Slurry Surfacing based on various acids and emulsifiers. Mix time of Slurry Surfacing mix (having different cement content) with bitumen emulsions on both orthophosphoric and hydrochloric acids is characterized by parabolic relation, branches of the parabola going down. Still, parabola slope steepness for Slurry Surfacing with cement and bitumen emulsions on orthophosphoric acid is higher than for emulsions on hydrochloric acid. The regularity investigated allows affirming that dosing cement for Slurry Surfacing with orthophosphoric-based bitumen emulsions shall be more diligently checked and controlled – so as to avoid the premature mix time.
44
Grepl, Filip, Josef Krása, Andriy Velyhan, Massimo De Marco, Jan Dostál, Miroslav Pfeifer, and Daniele Margarone. "Distortion of Thomson Parabolic-Like Proton Patterns Due to Electromagnetic Interference." Applied Sciences 11, no. 10 (May 14, 2021): 4484. http://dx.doi.org/10.3390/app11104484.
Full textAbstract:
Intense electromagnetic pulses (EMPs) accompany the production of plasma when a high-intensity laser irradiates a solid target. The EMP occurs both during and long after the end of the laser pulse (up to hundreds of nanoseconds) within and outside the interaction chamber, and interferes with nearby electronics, which may lead to the disruption or malfunction of plasma diagnostic devices. This contribution reports a correlation between the frequency spectrum of the EMP and the distortion of Thomson parabola tracks of protons observed at the kJ-class PALS laser facility in Prague. EMP emission was recorded using a simple flat antenna. Ions accelerated from the front side of the target were simultaneously detected by a Thomson parabola ion spectrometer. The comparison of the two signals suggests that the EMP may be considered to be the source of parabolic track distortion.
45
Caccamo, Joseph. "Silentium et parabola." Cahiers de Gestalt-thérapie 45, no. 1 (September 14, 2021): 7–10. http://dx.doi.org/10.3917/cges.045.0007.
Full text
46
Ahuja, Mangho. "Half a Parabola." Missouri Journal of Mathematical Sciences 11, no. 1 (February 1999): 44. http://dx.doi.org/10.35834/1999/1101044.
Full text
47
Montgomery, Aaron. "A Hairy Parabola." College Mathematics Journal 34, no. 5 (November 2003): 395. http://dx.doi.org/10.2307/3595825.
Full text
48
Choi, Si Chun, and Norman Wildberger. "The Universal Parabola." KoG, no. 22 (2018): 24–40. http://dx.doi.org/10.31896/k.22.4.
Full text
49
Zirakashvili, Natela. "Exact solution of some exterior boundary value problems of elasticity in parabolic coordinates." Mathematics and Mechanics of Solids 23, no. 6 (March 13, 2017): 929–43. http://dx.doi.org/10.1177/1081286517697371.
Full textAbstract:
The present work, by using the method of the separation of variables, states and analytically (exactly) solves the external boundary value problems of elastic equilibrium of the homogeneous isotropic body bounded by the parabola, when normal or tangential stresses are given on a parabolic border. Using MATLAB software, the numerical results and constructed graphs of the mentioned boundary value problems are obtained.
50
Pathan, Alex, and Tony Collyer. "A solution to a cubic – Barker's equation for parabolic trajectories." Mathematical Gazette 90, no. 519 (November 2006): 398–403. http://dx.doi.org/10.1017/s0025557200180192.
Full textAbstract:
Except for the circle, for which the true anomaly v is proportional to the time t, the position of a body in orbit about a central body at a given time is simplest to derive for a parabola. The classical determination of the time of flight on a parabolic trajectory is through the integration of the dynamic equations of motion. (See Appendix.)