Four portraits � one Jesus

Who is Jesus ?

“All humanists agree that religion is not based on reason” [1a]. This statement, in many different forms, has been popularized for hundreds of years. A major purpose for the 1978-1979 modeling procedures introduced into theology is to establish that all such statements are false. Jesus Christ is Scripturally described as the “great God and Saviour,” “the only-begotten God,” “the image of the in...

03 De Jesus et al.indd

*Pulmonary Section, Department of Medicine, University of Puerto Rico Medical Sciences Campus, San Juan, Puerto Rico; †Pulmonary Consultant; ‡Doctoral Program – Clinical and Translational Science, Institute for Clinical Research Education, University of Pittsburgh School of Medicine, United States of America; §Department of Biostatistics and Epidemiology, Graduate School of Public Health, Unive...

Painted Aperture for Portraits

Photographers often wish to control the depth of field. In particular, for portrait photography, a shallow depth of field can have dramatic effects on the composition and the feel of the picture. For example, a shallow depth of field can help direct attention to the subject by blurring out objects too close or too far from the camera, such as distracting objects or faces. Also, focusing on an o...

Portraits of Buddhist Women

Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four

In this article we consider the class QSL4 of all real quadratic differential systems dx dt = p(x, y), dy dt = q(x, y) with gcd(p, q) = 1, having invariant lines of total multiplicity four and a finite set of singularities at infinity. We first prove that all the systems in this class are integrable having integrating factors which are Darboux functions and we determine their first integrals. W...