scholarly journals Circumcenter, Circumcircle and Centroid of a Triangle

2016 ◽  
Vol 24 (1) ◽  
pp. 17-26
Author(s):  
Roland Coghetto
Keyword(s):  
Existence And Uniqueness ◽  
Euclidean Geometry ◽  
Common Point ◽  
Perpendicular Bisector ◽  
Ceva’S Theorem ◽  
The Common ◽  
Basic Concepts ◽  
System 1 ◽  
Half Length

Summary We introduce, using the Mizar system [1], some basic concepts of Euclidean geometry: the half length and the midpoint of a segment, the perpendicular bisector of a segment, the medians (the cevians that join the vertices of a triangle to the midpoints of the opposite sides) of a triangle. We prove the existence and uniqueness of the circumcenter of a triangle (the intersection of the three perpendicular bisectors of the sides of the triangle). The extended law of sines and the formula of the radius of the Morley’s trisector triangle are formalized [3]. Using the generalized Ceva’s Theorem, we prove the existence and uniqueness of the centroid (the common point of the medians [4]) of a triangle.

scholarly journals Zebrafish Models to Study New Pathways in Tauopathies

2021 ◽  
Vol 22 (9) ◽  
pp. 4626
Author(s):  
Clément Barbereau ◽  
Nicolas Cubedo ◽  
Tangui Maurice ◽  
Mireille Rossel
Keyword(s):  
Cognitive Deficits ◽  
Tau Protein ◽  
Common Point ◽  
Transgenic Models ◽  
Synaptic Loss ◽  
Wide Range ◽  
Transgenic Lines ◽  
Functional Consequences ◽  
The Common

Tauopathies represent a vast family of neurodegenerative diseases, the most well-known of which is Alzheimer’s disease. The symptoms observed in patients include cognitive deficits and locomotor problems and can lead ultimately to dementia. The common point found in all these pathologies is the accumulation in neural and/or glial cells of abnormal forms of Tau protein, leading to its aggregation and neurofibrillary tangles. Zebrafish transgenic models have been generated with different overexpression strategies of human Tau protein. These transgenic lines have made it possible to highlight Tau interacting factors or factors which may limit the neurotoxicity induced by mutations and hyperphosphorylation of the Tau protein in neurons. Several studies have tested neuroprotective pharmacological approaches. On few-days-old larvae, modulation of various signaling or degradation pathways reversed the deleterious effects of Tau mutations, mainly hTauP301L and hTauA152T. Live imaging and live tracking techniques as well as behavioral follow-up enable the analysis of the wide range of Tau-related phenotypes from synaptic loss to cognitive functional consequences.

Three-Phase and Five-Phase Motor Windings Common Point Potential Ripple with Respect to the Converter Zero Termina

Vestnik MEI ◽  
2021 ◽  
Vol 2 (2) ◽  
pp. 51-59
Author(s):  
Vladimir M. Tereshkin ◽  
◽  
Irshat L. Aitov ◽  
Dmitriy A. Grishin ◽  
Vyacheslav V. Tereshkin ◽  
...  
Keyword(s):  
Amplitude Modulation ◽  
Zero Point ◽  
Space Time ◽  
Common Point ◽  
Point Potential ◽  
Voltage Vector ◽  
Three Phase ◽  
Ripple Amplitude ◽  
The Common ◽  
Rotating Field

The aim of the study is to determine the parameters characterizing the ripple of a motor's three- and five-phase windings common point potentials (for the star winding connection diagram) with respect to the converter zero point. One of the reserves for decreasing electromagnetically induced vibration of an electric motor with a rotating field is to increase the number of working winding phases. The study subject is a five-phase motor winding connected to a bridge converter, namely, its ability to reduce electromagnetically induced vibration in comparison with that in using a three-phase winding. The common point potential ripple parameters are studied, and an approach is proposed to estimating the amplitude modulation of the space-time voltage vector of three- and five-phase windings under the influence of the common point potential ripple with respect to the converter zero point. Theoretical studies were carried out using the Fourier series expansion method and vector analysis methods. To confirm the theoretical results, experimental studies of the prototypes of three-phase and five-phase synchronous motors with inductors made on the basis of permanent magnets were carried out. The main results have shown the following. With increasing the number of phases of the rotating field motor working winding connected to a bridge converter, the common point potential ripple amplitude with respect to the converter zero point decreases, and the ripple frequency increases. The product of ripple amplitude by frequency remains unchanged. It is assumed that the common point potential ripple of the motor multiphase winding with respect to the converter zero terminal results in the amplitude modulation of the space-time voltage vector. With increasing the number of winding phases, the modulation amplitude decreases, and the modulation frequency increases. A five-phase motor has a lower level of the working winding common point potential ripple with respect to the converter zero point in comparison with a three-phase motor. Thus, it can be assumed that there will be a lower level of electromagnetically induced vibration in using a simple converter operation algorithm. The obtained results can be used in designing electric traction systems with vector control on the basis of multiphase motors. With increasing the number of phases, the common point potential ripple amplitude in a multiphase winding with respect to the converter zero point decreases, and the ripple frequency increases. Thus, the common point potential ripple amplitude in a five-phase winding is 5/3 times less than that in a three-phase winding, and the ripple frequency increases by 5/3 times, respectively. With increasing the number of working winding phases, the amplitude modulation of the resulting space-time voltage vector decreases. This circumstance has a positive effect on decreasing the electromagnetically induced vibration.

scholarly journals Penguatan Kampung Santri untuk Pengembangan Masyarakat Sadar Hukum di Wilayah Mangkang Kota Semarang

2018 ◽  
Vol 17 (2) ◽  
pp. 253
Author(s):  
Rihlatul Khoiriyah ◽  
Ali Imron ◽  
Ahmad Munif ◽  
Lathifah Munawaroh
Keyword(s):  
Family Law ◽  
Civil Law ◽  
Common Point ◽  
The State ◽  
Cultural Approach ◽  
Positive Law ◽  
The People ◽  
The Common ◽  
The Village

<p>This paper intends to see the extent of legal awareness of the community in the village area of the santri against family law derived from national legal products. The results of the study show two main points, first, the understanding of Islamic civil law (marriage and inheritance) of Mangkang region society is dominated to the accepted understanding of classical fiqh. The people of Mangkang region are not anti-starch against the civil law of Islam issued by the state in the form of positive law. Although the Mangkang area people see that both are ijtihadiyah products, but the existence of Indonesian civil law that has an administrative effect on others makes them accept a good denan. Second, a persuasive approach in the form of a cultural approach is more readily accepted by citizens. Mangkang area people feel comfortable when invited to dialogue and discussion related to Islamic civil law of Indonesia. In the end, by reaching the common point and the good that might be obtained, Indonesian civil law can be understood and well accepted.</p><p> </p><p>Tulisan ini bermaksud melihat sejauh mana kesadaran hukum masyarakat di wilayah kampung santri terhadap hukum keluarga yang bersumber dari produk hukum nasional. Hasil dari kajian menunjukkan dua hal pokok, pertama, pemahaman hukum perdata Islam (penikahan dan kewarisan)  masyarakat wilayah Mangkang didominasi kepada pemahaman yang diterima fiqh klasik. Masyarakat wilayah Mangkang tidak anti pati terhadap hukum perdata Islam yang dikeluarkan negara dalam bentuk hukum positif. Meskipun masyarakat wilayah Mangkang melihat bahwa keduanya merupakan produk ijtihadiyah, namun keberadaan hukum perdata Islam Indonesia yang memiliki dampak administratif kepada yang lainnya menjadikan mereka bisa menerima denan baik. Kedua, pendekatan persuasif dalam bentuk pendekatan budaya lebih mudah diterima oleh warga masyarakat. Masyarakat wilayah Mangkang merasa nyaman ketika diajak berdialog dan berdiskusi terkait hukum perdata Islam Indonesia. Pada akhirnya, dengan mencapai titik temu dan kebaikan yang mungkin akan didapat, hukum perdata Islam Indonesia bisa dipahami dan diterima dengan baik..</p>

Ancient Greek Mathematics

2015 ◽  
Author(s):  
José Ferreirós
Keyword(s):  
Elementary Mathematics ◽  
Euclidean Geometry ◽  
Advanced Mathematics ◽  
Ancient Greek ◽  
Greek Tradition ◽  
The Common ◽  
Greek Mathematics ◽  
Joint Consideration ◽  
Practical Geometry ◽  
Further Development

This chapter focuses on the ancient Greek tradition of geometrical proof in light of recent studies by Kenneth Manders and others. It advances the view that the borderline of elementary mathematics is strictly linked with the adoption of hypotheses. To this end, the chapter considers Euclidean geometry, which elaborates on both the problems and the proof methods based on diagrams. It argues that Euclidean geometry can be understood as a theoretical, idealized analysis (and further development) of practical geometry; that by way of the idealizations introduced, Euclid's Elements builds on hypotheses that turn them into advanced mathematics; and that the axioms or “postulates” of Book I of the Elements mainly regiment diagrammatic constructions, while the “common notions” are general principles of a theory of quantities. The chapter concludes by discussing how the proposed approach, based on joint consideration of agents and frameworks, can be applied to the case of Greek geometry.

Beyond Borders

2017 ◽  
Author(s):  
Silvia Goldman
Keyword(s):  
Sense Of Belonging ◽  
Common Point ◽  
Global Village ◽  
Multicultural Identity ◽  
Poetic Voice ◽  
Cultural Boundaries ◽  
The Common ◽  
Voice Calls ◽  
Poetry Collection

Silvia Goldman presents the Chilean poet and performer Cecilia Vicuña’s poetry collection i tu (2004) as a postnational work of literature that addresses its reader in several languages, such as Spanish, English, and Quechua. Goldman argues that i tu establishes a speech “between languages,” able to pierce through territorial, cultural, and linguistic borders. The poetic voice calls this an “habla-alba” (a “dawn-speech”) that identifies the common roots of several languages and thus re-establishes the connections between them. By challenging pre-established linguistic, national, and cultural boundaries, Vicuña's poetry aims to construct a future based on the continual redefinition of a multilingual and multicultural identity.The poems ini tu, therefore, can be read as an itinerant geography within a provisional country, described by the poetic voice as a “no lugar.” Protected from exile and rootlessness, an alternative sense of belonging can be constructed. The collection i tu, as this chapter argues, builds its own utopian, alternative “global village,” where the threads that lead back to a common point of origin are made visible and where political, national, cultural, and linguistic borders are questioned.

scholarly journals NOPT – New polishing techniques for scalable, light-weighted mirrors of different materials

2019 ◽  
Vol 215 ◽  
pp. 03002
Author(s):  
Sebastiano Spinelli ◽  
Luigina Arcangeli ◽  
Ruben Mazzoleni ◽  
Massimiliano Rossi ◽  
Marco Terraneo ◽  
...  
Keyword(s):  
Mechanical Design ◽  
Optical Design ◽  
Electroless Nickel ◽  
Common Point ◽  
Bonnet Polishing ◽  
Alsi Alloy ◽  
The Common ◽  
Optical Polishing

In the framework of an assessment of optical polishing techniques, ESA has signed a contract with Media Lario to deliver two 250 mm mirrors with a common optical design to be polished down to very tight surface requirements. NOPT mirrors are respectively made of Zerodur and AlSi alloy with electroless nickel and will they be polished by means of bonnet polishing. Mirrors are light-weighted up to 20kg/m2; the mechanical and optical design is proven to be scalable up to 1m CA surfaces. This paper reviews the mirrors opto-mechanical design, introduce the polishing and metrology strategy while highlighting the differences and the common point in fabricating such mirror in Zerodur and metal.

scholarly journals ‘Your Womb, The Perfect Classroom’: Prenatal Sound Systems and Uterine Audiophilia

2020 ◽  
pp. 014177892095867
Author(s):  
Marie Thompson
Keyword(s):  
Cognitive Development ◽  
Common Point ◽  
Self Control ◽  
Reproductive Politics ◽  
The Future ◽  
Future Child ◽  
The Common ◽  
Culture Technology ◽  
Maternal Obligation

In this article, I explore the auditory technopolitics of prenatal sound systems, asking what kinds of futures, listeners and temporalities they seek to produce. With patents for prenatal audio apparatus dating back to the late 1980s, there are now a range of devices available to expectant parents. These sound technologies offer multiple benefits: from soothing away stress to increasing the efficiency of ultrasonic scans. However, one common point of emphasis is their capacity to accelerate foetal ‘learning’ and cognitive development. Taking as exemplary the Babypod and BabyPlus devices, I argue that prenatal sound systems make audible a particular figuration of pregnancy and gestational labour that combines divergent notions of responsibility and passivity. Contra the equation of neoliberalism with self-control and individualism, I argue that prenatal sound systems amplify neoliberal capitalism’s elision of personal, maternal and familial responsibility. As reproductive sound technologies, prenatal sound systems facilitate maternal–familial investment in the pre-born as future-child. Consequently, financialised notions of inheritance are substituted for biological inheritance. Drawing attention to the common rhetorical figuration of the sonic as womb-like, furthermore, I argue that prenatal sound systems exemplify what I refer to as uterine audiophilia. By treating the womb as ‘the perfect classroom’, prenatal sound systems imply an intense maternal obligation to invest in and impress upon the future-child, while also envisioning the pregnant person’s body as an occupied, resonant space. Cohering with a fidelity discourse that posits the reproductive medium as passive container and a source of noise that is to be overcome, uterine audiophilia relies upon politically regressive conceptualisations of pregnancy. I thus argue that these devices mark the hitherto under-theorised convergence of auditory culture, technology and reproductive politics.

Basic Interpretation of Metabolic Acidosis

2010 ◽  
Vol 30 (5) ◽  
pp. 63-69 ◽  
Author(s):  
Melissa Beaudet Jones
Keyword(s):  
Metabolic Acidosis ◽  
Acid Base Balance ◽  
Acid Base ◽  
Common Causes ◽  
Base Balance ◽  
The Common ◽  
Basic Concepts

What are the basic concepts of acid-base balance, the 2 types of metabolic acidosis, and the common causes of each type of metabolic acidosis?

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