On the Blaschke approach of Bertrand offsets of spacelike ruled surfaces

Aldossary, Maryam T.; Abdel-Baky, Rashad A.

doi:10.3934/math.2022983

“…M. Onder and O. Kaya in [18] obtained new characterizations for slant RS in the Euclidean 3-space. There exist a considerable number of written works on the topic of comprehensive diverse treatises; for instance, [19][20][21][22][23][24]. Nevertheless, to our knowledge, there is no work related to creating BO of slant RS via the geometrical properties of the striction curve (S C).…”

Section: Introductionmentioning

confidence: 99%

Bertrand Offsets of Slant Ruled Surfaces in Euclidean 3-Space

Almoneef

¹

,

Abdel-Baky

²

2024

Symmetry

1

0

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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An approach to characterizations of null curves lying in timelike ruled surfaces

Eki̇ci̇

¹

,

Körpınar

²

,

Ünlütürk

³

2022

Soft Comput

3

0

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

Fixed-axis spacelike ruled surfaces and their evolute offsets

Almoneef,

Abdel-Baky

2025

PLoS One

0

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

On the Blaschke approach of Bertrand offsets of spacelike ruled surfaces

Cited by 3 publications

References 11 publications

Bertrand Offsets of Slant Ruled Surfaces in Euclidean 3-Space

Bertrand Offsets of Slant Ruled Surfaces in Euclidean 3-Space

An approach to characterizations of null curves lying in timelike ruled surfaces

Fixed-axis spacelike ruled surfaces and their evolute offsets

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