Results 71 to 80 of about 280 (131)

The Disentanglement of the Body–Consciousness–World Intertwining: A Phenomenology of Severe Mental Illness

Nursing Inquiry, Volume 33, Issue 3, July 2026.
ABSTRACT Severe mental illness is frequently approached through nosological criteria focused on symptom severity, neglecting the complexity of lived experience. Phenomenology understands psychopathology not as an isolated biological dysfunction, but as a radical alteration in the structure of being‐in‐the‐world. Grounded in Merleau‐Ponty's ontology and
Rui Gomes, Patrícia Silva‐Pereira
wiley   +1 more source

An elegant model of the geodesic flow on the modular surface

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

Frenet frames and invariants of timelike ruled surfaces

Ain Shams Engineering Journal, 2013
In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame.
Mehmet Önder, H. Hüseyin Uğurlu
doaj   +1 more source

Random Diophantine equations in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley   +1 more source

Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$ [PDF]

Mathematica Bohemica
The aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space $\mathbb{R}_2^3$.
Sevilay Çoruh Şenocak, Salim Yüce
doaj   +1 more source

On the Null Scrolls in Minkowski 3-space

IOSR Journal of Mathematics, 2013
We study ruled surfaces with lightlike ruling in Minkowski 3-space which are said to be null-scrolls. Even that the result is a consequence of some well-known results involving the Gauss map, we give another approach to classify all null-scrolls under the condition where is the Laplace operator with respect to the first fundamental form and the set of ...
openaire   +1 more source

On parallel surfaces in Minkowski 3-space

, 2013
In this paper, we study on some properties of parallel surfaces in Minkowski 3-space. The results given in this paper were given in Euclidean space by [7, 8]. By using these two former studies, we show these properties in Minkowski 3-space. Also we give the relation among the fundamental forms of parallel surfaces in Minkowski 3-space.
UNLUTURK, Yasin, OZUSAGLAM, Erdal
openaire   +2 more sources

On Cartan null Bertrand curves in Minkowski 3-space

, 2021
Summary: In this paper, we consider Cartan null Bertrand curves in Minkowski 3-space. Since the principal normal vector of a null curve is a spacelike vector, the Bertrand mate curve of a null curve can be a timelike curve and a spacelike curve with spacelike principal normal. We give the necessary and suffient conditions for these cases to be Bertrand
Gökçek, Fatma, Erdem, Hatice Altın
openaire   +3 more sources

Integrable system of null curve and Betchov-Da Rios equation

Demonstratio Mathematica
This study focuses on the time evolution of a null curve using a new frame and a new transformation in Minkowski 3-space. Accordingly, Landau–Lifshitz and coupled Boussinesq-like equations for the null curve are provided in terms of the new ...
Yoon Dae Won
doaj   +1 more source

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

Physics Letters B, 2019
We demonstrate that warped Minkowski space backgrounds, Rn−1,1×wMd−n, n≥3, that preserve strictly more than 16 supersymmetries in d=11 and type II d=10 supergravities and with fields which may not be smooth everywhere are locally isometric to the Rd−1,1 ...
S. Lautz, G. Papadopoulos
doaj   +1 more source