scholarly journals The Tritangent Circles of a Circular Quartic Curve

1932 ◽  
Vol 3 (1) ◽  
pp. 46-52
Author(s):  
H. W. Richmond
Keyword(s):  
Fixed Points ◽  
Space Curve ◽  
Cubic Surface ◽  
Quartic Curve ◽  
Family Of Curves ◽  
The Family ◽  
The Subject ◽  
Simple Notation ◽  
Pass Through

§1. In a recent paper with this title Prof. W. P. Milne has discussed the properties of the conics which pass through two fixed points of a plane quartic curve and touch the curve at three other points. In dealing with a numerous family of curves such as this it is very desirable to have a scheme of marks or labels to distinguish the different members of the family; Hesse's notation for the double tangents of a C4 illustrates this. By using another line of approach to the subject, by projecting the curve of intersection of a quadric and a cubic surface from a point at which (under exceptional circumstances) the surfaces touch, I find that a fairly simple notation for the 64 conics, in harmony with that for the bitangents, can be obtained. This paper, let it be said, from start to finish is no more than an adaptation of results known for the sextic space-curve referred to; it will be sufficient therefore to state results with short explanations.

scholarly journals On the Richter–Thomassen Conjecture about Pairwise Intersecting Closed Curves

2016 ◽  
Vol 25 (6) ◽  
pp. 941-958
Author(s):  
JÁNOS PACH ◽  
NATAN RUBIN ◽  
GÁBOR TARDOS
Keyword(s):  
Real Function ◽  
Important Ingredient ◽  
Continuous Real Function ◽  
Closed Curves ◽  
Jordan Curves ◽  
Family Of Curves ◽  
The Family ◽  
Intersection Points ◽  
Pass Through

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least (1−o(1))n2.We confirm the above conjecture in several important cases, including the case (1) when all curves are convex, and (2) when the family of curves can be partitioned into two equal classes such that each curve from the first class touches every curve from the second class. (Two closed or open curves are said to be touching if they have precisely one point in common and at this point the two curves do not properly cross.)An important ingredient of our proofs is the following statement. Let S be a family of n open curves in ℝ2, so that each curve is the graph of a continuous real function defined on ℝ, and no three of them pass through the same point. If there are nt pairs of touching curves in S, then the number of crossing points is $\Omega(nt\sqrt{\log t/\log\log t})$.

Analisis Perbandingan Manajemen Keuangan Ojek Online Dan Ojek Reguler Studi Kasus Kecamatan Duren Sawit Jakarta Timur

Liquidity ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 41-52
Author(s):  
M. Koesmawan ◽  
Darwin Erhandy ◽  
Dede Dahlan
Keyword(s):  
Financial Management ◽  
Average Income ◽  
Savings And Loans ◽  
Financial Difficulties ◽  
The Family ◽  
Family Finances ◽  
The Subject ◽  
Almost All

In order to meet the needs of living which consists of primary as well as secondary needs, human can work in either a formal or an informal job. One of the informal jobs that is became the subject of this research was to become an ojek driver. Ojek is a ranting motorcycle.  Revenue of ojek drivers, accordingly, should be well managed following the concept of financial management. This research was conducted for the driver of the online motorcycle drivers as well as the regular motorcycle drivers they are called “The Ojek”. Ojek’s location is in Kecamatan (subdistrict) Duren Sawit, East Jakarta with 70 drivers of ojeks. The online ojeks earn an average of Rp 100,000 per day, can save Rp 11,000 to 21,000 per day, while, the regular ojek has an average income per day slightly lower amounted to Rp 78,500, this kind of ojeks generally have other businesses and always record the outflow of theirs money. Both the online and regular ojeks feel a tight competition in getting passengers, but their income can help the family finances and both ojeks want a cooperative especially savings and loans, especially to overcome the urgent financial difficulties. Almost all rivers, do not dare to borrow money. They are afraid of can not refund the money as scheduled.

Dramatis Personae

2018 ◽  
Author(s):  
Susan Mitchell Sommers
Keyword(s):  
Birth Order ◽  
Formal Education ◽  
The Family ◽  
The Subject ◽  
The Voice ◽  
Official Records

This chapter introduces the family: father Edmund, a shoemaker turned bookseller, and his three or four wives, their social and religious status, questions of literacy and formal education. The children are introduced more or less in their birth order: Kezia, Ebenezer, Manoah, Job, and Charity. The difficulties of tracing women is discussed. Particular attention is paid to Kezia, who was the subject of one of Ebenezer’s astrological cases, and Charity, who left a decades-long trail through official records, marking her as one of the most economically savvy members of the family. Since many of the Sibly men took shorthand, there is a brief discussion of contemporary shorthand uses, accuracy, and to what extent shorthand takers preserved the voice of the speaker. Ebenezer’s daughter Urania is also introduced, though like Ebenezer and Manoah, she has her own chapter later in the work

scholarly journals Duality of Moduli and Quasiconformal Mappings in Metric Spaces

2020 ◽  
Vol 8 (1) ◽  
pp. 166-181
Author(s):  
Rebekah Jones ◽  
Panu Lahti
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Poincaré Inequality ◽  
Quasiconformal Mappings ◽  
Duality Relation ◽  
Doubling Measure ◽  
Poincare Inequality ◽  
Family Of Curves ◽  
The Family

AbstractWe prove a duality relation for the moduli of the family of curves connecting two sets and the family of surfaces separating the sets, in the setting of a complete metric space equipped with a doubling measure and supporting a Poincaré inequality. Then we apply this to show that quasiconformal mappings can be characterized by the fact that they quasi-preserve the modulus of certain families of surfaces.

scholarly journals A portrait of Italian ‘Family houses’: diversified heritage in a redefined territorial and demographic context

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Federico Zanfi ◽  
Chiara Merlini ◽  
Viviana Giavarini ◽  
Fabio Manfredini
Keyword(s):  
Demographic Change ◽  
Demographic Transition ◽  
Methodological Approach ◽  
Property Values ◽  
Italian Family ◽  
The Family ◽  
The Subject ◽  
The 1960S ◽  
Demographic Context ◽  
Family House

AbstractThe ‘family house’ has played a major role within the urbanisation processes that have been transforming the Italian landscape since the 1960s. It is a common feature of the widespread settlements that are part of what has been labelled the ‘diffuse city’ and was the subject of numerous studies during the 1990s. More than 20 years later, this paper returns to the topic of the Italian family house using a renewed methodological approach to describe relevant changes. The hypothesis here is that in order to grasp the tensions affecting ‘family houses’ in today’s context of demographic transition and increased imbalances between dynamic and declining areas, and to contemplate their future, the qualitative gaze adopted by scholars in the 1990s must be integrated with other investigative tools, focusing on demographic change, uses, and the property values of buildings. Using this perspective, the paper provides a series of ‘portraits’ rooted in four meaningful territorial contexts, portraits which may help scholars to redefine their imagery associated with family house and be useful for dedicated building policies.

Contribution to the Morphology of a Pine Web-spinning Sawfly, Cephalcia marginata Middlekauff (Hymenoptera: Pamphiliidae)

1955 ◽  
Vol 87 (9) ◽  
pp. 382-399 ◽  
Author(s):  
I. Rivard
Keyword(s):  
Phylogenetic Position ◽  
Morphological Studies ◽  
The Family ◽  
The Subject

In studies of sawflies, the family Pamphiliidae has been much neglected especially from the morphological stand point. Yuasa (1922) made a study of the larvae, but the genus Cephalcia was dealt with rather briefly. Ross (1937) and Benson (1945) made comparative morphological studies of the adults and showed the phylogenetic position of the family. More recently, Middlekauff (1953) published a description of Cephalcia marginata, a pine web-spinning sawfly which was the subject of the present study.

scholarly journals Basis properties of the p , q -sine functions

2015 ◽  
Vol 471 (2174) ◽  
pp. 20140642 ◽  
Author(s):  
Lyonell Boulton ◽  
Gabriel J. Lord
Keyword(s):  
Shift Operators ◽  
The Family ◽  
The Subject ◽  
Infinite Multiplicity ◽  
Sine Functions

We improve the currently known thresholds for basisness of the family of periodically dilated p , q -sine functions. Our findings rely on a Beurling decomposition of the corresponding change of coordinates in terms of shift operators of infinite multiplicity. We also determine refined bounds on the Riesz constant associated with this family. These results seal mathematical gaps in the existing literature on the subject.

Whatever Happened to the Slave Family in the Old South?

1974 ◽  
Vol 8 (3) ◽  
pp. 383-390
Author(s):  
John White
Keyword(s):  
Harriet Beecher Stowe ◽  
Old South ◽  
The Family ◽  
The Subject

Writing in 1853 Harriet Beecher Stowe, defending the veracity of her famous novel, declared:The worst abuse of slavery is its outrage upon the family; and as this writer views the subject it is one which is more notorious and undeniable than any other.

scholarly journals Chaos and Stability in a New Iterative Family for Solving Nonlinear Equations

Algorithms ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 101
Author(s):  
Alicia Cordero ◽  
Marlon Moscoso-Martínez ◽  
Juan R. Torregrosa
Keyword(s):  
Fixed Points ◽  
Periodic Orbits ◽  
Nonlinear Equations ◽  
Fourth Order ◽  
Complex Dynamics ◽  
Convergence Properties ◽  
Parameter Spaces ◽  
Numerical Tests ◽  
The Family ◽  
Dynamics Stability

In this paper, we present a new parametric family of three-step iterative for solving nonlinear equations. First, we design a fourth-order triparametric family that, by holding only one of its parameters, we get to accelerate its convergence and finally obtain a sixth-order uniparametric family. With this last family, we study its convergence, its complex dynamics (stability), and its numerical behavior. The parameter spaces and dynamical planes are presented showing the complexity of the family. From the parameter spaces, we have been able to determine different members of the family that have bad convergence properties, as attracting periodic orbits and attracting strange fixed points appear in their dynamical planes. Moreover, this same study has allowed us to detect family members with especially stable behavior and suitable for solving practical problems. Several numerical tests are performed to illustrate the efficiency and stability of the presented family.

A FEW WORDS ABOUT FAMILY PENSION, FAMILY EMOLUMENT AND PROPORTIONALITY OF THE BENEFIT

2021 ◽  
Vol specjalny (XXI) ◽  
pp. 699-706
Author(s):  
Alina Wypych-Żywicka
Keyword(s):  
Higher Education ◽  
Master's Degree ◽  
Doctoral Studies ◽  
The Family ◽  
The Subject ◽  
Master’S Degree ◽  
The Right

Family pension entitlement applies to children up to the age of 25. If the subject has reached this age in the last year of studies in a higher school, family pension entitlement extends until the end of studies. The problem is the interpretation of the phrase ‘in the last year of studies in a higher school’. It is unknown whether its meaning is limited only to the higher education (up to master’s degree) or whether it covers all forms of studies conducted by a higher school. Extending the meaning of this phrase shall cause the category of children entitled to the family pension to enlarge significantly, because entitled shall be those children who are students as well as those who take up postgraduate or doctoral studies. Such an interpretation seems to go too far. The conditions for acquiring the right to a family emolument after the deceased performing the profession of the judge also need to be specified.

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