baki karliga - Academia.edu (original) (raw)

Papers by baki karliga

Research paper thumbnail of Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex

arXiv (Cornell University), Dec 17, 2014

In this paper, orthogonal projection along a geodesic to the chosen k−plane is introduced using e... more In this paper, orthogonal projection along a geodesic to the chosen k−plane is introduced using edge and Gram matrix of an n−simplex in hyperbolic or spherical n−space. The distance from a point to k−plane is obtained by the orthogonal projection. It is also given the perpendicular foots from a point to k−plane of hyperbolic and spherical n−space.

Research paper thumbnail of The Reflections on Hyperboloidal Model of Hyperbolic Plane H2

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Jun 1, 1997

Research paper thumbnail of On the Minimal Hypersurfaces

Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics, 1983

Research paper thumbnail of On the Tzitzeica's Submanifolds

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Jun 1, 1997

Research paper thumbnail of Central Angle Theorem for Hyperbolic Angle

Turkish Journal of Mathematics and Computer Science, Jul 13, 2016

In this study, we give a different proof for the central angle theorem in the Lorentz plane. We a... more In this study, we give a different proof for the central angle theorem in the Lorentz plane. We also obtain beneficial trigonometric results regarding to the interior, exterior, and inscribes angle on the Lorentz circle S 1 1 .

Research paper thumbnail of Reflection Groups on Semi-Eucli̇dean Spaces

DergiPark (Istanbul University), Jun 1, 1997

Research paper thumbnail of Vertex Angles of a Simplex in Hyperbolic Space H n

Geometriae Dedicata, 2006

For an n-simplex in H n or S n , we give sine theorems and their results for kth−order vertex ang... more For an n-simplex in H n or S n , we give sine theorems and their results for kth−order vertex angles which are defined in this paper. The Gram and edge matrices, and polar simplex of n-simplex in H n or S n are used to prove the theorems and their results.

Research paper thumbnail of Orthogonal Projections Based on Hyperbolic and Spherical n -Simplex

Advances in Mathematical Physics, 2015

Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram ma... more Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to k-plane of hyperbolic and spherical n-space.

Research paper thumbnail of Modeling and Simulation of a Series Hybrid Propulsion Chain for Small Ships

2017 IEEE Vehicle Power and Propulsion Conference (VPPC), 2017

Hybridization is a promising approach to reduce fuel consumption and environmental impacts of shi... more Hybridization is a promising approach to reduce fuel consumption and environmental impacts of ships. Hybridization is particularly suitable for ships operating on cycles with large power variations and requiring a high degree of maneuverability. The modeling and simulation of such systems is essential in their design, analysis, and power management, especially with the mass and volume constraints of small vessels. In this context, this paper presents a modeling approach of a series hybrid ship propulsion using Matlab / Simulink. This modeling tool associates models of the energy conversion components and hydrodynamics models related to ship hull and propeller. This tool allows evaluating efficiently the performances of such systems.

Research paper thumbnail of ALMA band 2+ (67–95 GHz) receiver optics

Recently, NRAO has successfully developed an ALMA band 2 (67–90 GHz) prototype receiver based on ... more Recently, NRAO has successfully developed an ALMA band 2 (67–90 GHz) prototype receiver based on MIC low noise amplifiers (LNA). NAOJ collaborated in the receiver optics design and simulations. After some initial evaluation of the performance of new MMIC LNAs, it has been decided to extend the frequency coverage to 95 GHz to cover some additional science cases. In this paper, we describe the design of a new corrugated horn and dielectric lens to extend the receiver optics bandwidth up to 95 GHz. A new design target has been to ease fabrication. The new receiver optics has a fractional bandwidth of 35% and is fully compliant with ALMA specifications.

Research paper thumbnail of 312 Activation of AhR in Langerhans cells by a microbial metabolite of tryptophan maintains skin homeostasis

Journal of Investigative Dermatology, 2020

Research paper thumbnail of New geometry curriculum for secondary education

Research paper thumbnail of On the Generalized Stereographic Projection

Beitrage zur Algebra und Geometrie

this paper is to give a possible generalization for stereographic projection of n-dimensional pse... more this paper is to give a possible generalization for stereographic projection of n-dimensional pseudosphere with -index, inversion of (n Gamma 1)-dimensional pseudosphere with -index and to obtain some geometrical results. We see that stereographic projection in [10], [11], [12], [13] is a special case of = 1

Research paper thumbnail of Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space

Journal of Applied Mathematics, 2014

We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) g... more We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups inH3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups ofG0inH3. Also, we give explicit parametrization of these invariant surfaces with respect to constant hyperbolic curvature of profile curves. Finally, we obtain some corollaries for flat and minimal invariant surfaces which are associated with de Sitter and hyperbolic shape operator inH3.

Research paper thumbnail of Edge Matrix of Hyperbolic Simplices

Geometriae Dedicata, 2004

In this paper, by using the dual problem which was solved by Feng Luo (Geom. Dedicata64 (1997), 2... more In this paper, by using the dual problem which was solved by Feng Luo (Geom. Dedicata64 (1997), 277–282) and a new method, we give necessary and sufficient conditions for given (n(n+1)) /2 positive real numbers to be the edge lengths of a hyperbolic n-simplex. By using determinants, we also give necessary and sufficient conditions for given (n(n+1)) /2 positive real numbers to be the edge lengths of a spherical n-simplex.

Research paper thumbnail of Girard Type Theorems for de Sitter Triangles with non-null Edges

Girard's Theorem subjects to the area depending interior angles of a spherical triangle. In t... more Girard's Theorem subjects to the area depending interior angles of a spherical triangle. In this paper, we introduce to its analogues for proper de Sitter triangles with non-null edges.

Research paper thumbnail of Constant angle spacelike surface in de Sitter space S₁³

Boletim da Sociedade Paranaense de Matemática

In this paper; using the angle between unit normal vector field of surfaces and a fixed spacelike... more In this paper; using the angle between unit normal vector field of surfaces and a fixed spacelike axis in R₁⁴, we develop two class of spacelike surface which are called constant timelike angle surfaces with timelike and spacelike axis in de Sitter space S₁³.

Research paper thumbnail of Central Angle Theorem for Hyperbolic Angle

In this study, we give a dierent proof for the central angle theorem in the Lorentz plane. We als... more In this study, we give a dierent proof for the central angle theorem in the Lorentz plane. We also obtain beneficial trigonometric results regarding to the interior, exterior, and inscribes angle on the Lorentz circle S 1 1 .

Research paper thumbnail of Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn

In this paper, we give necessary and sufficent conditions for n(n+1)/2 positive real numbers φij ... more In this paper, we give necessary and sufficent conditions for n(n+1)/2 positive real numbers φij and θij to be dihedral angles and edge lengths of an n−simplex having spacelike faces with codimensions 1 and 2 in de Sitter space

Research paper thumbnail of n−dimensional Trigonometric Proportions for Rectangular Simplices

The main aim of this paper is to obtain n−dimensional versions of trigonometric proportions for r... more The main aim of this paper is to obtain n−dimensional versions of trigonometric proportions for right triangle in terms of hypotenuse and perpendicular volume faces of a rectangular simplices.

Research paper thumbnail of Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex

arXiv (Cornell University), Dec 17, 2014

In this paper, orthogonal projection along a geodesic to the chosen k−plane is introduced using e... more In this paper, orthogonal projection along a geodesic to the chosen k−plane is introduced using edge and Gram matrix of an n−simplex in hyperbolic or spherical n−space. The distance from a point to k−plane is obtained by the orthogonal projection. It is also given the perpendicular foots from a point to k−plane of hyperbolic and spherical n−space.

Research paper thumbnail of The Reflections on Hyperboloidal Model of Hyperbolic Plane H2

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Jun 1, 1997

Research paper thumbnail of On the Minimal Hypersurfaces

Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics, 1983

Research paper thumbnail of On the Tzitzeica's Submanifolds

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Jun 1, 1997

Research paper thumbnail of Central Angle Theorem for Hyperbolic Angle

Turkish Journal of Mathematics and Computer Science, Jul 13, 2016

In this study, we give a different proof for the central angle theorem in the Lorentz plane. We a... more In this study, we give a different proof for the central angle theorem in the Lorentz plane. We also obtain beneficial trigonometric results regarding to the interior, exterior, and inscribes angle on the Lorentz circle S 1 1 .

Research paper thumbnail of Reflection Groups on Semi-Eucli̇dean Spaces

DergiPark (Istanbul University), Jun 1, 1997

Research paper thumbnail of Vertex Angles of a Simplex in Hyperbolic Space H n

Geometriae Dedicata, 2006

For an n-simplex in H n or S n , we give sine theorems and their results for kth−order vertex ang... more For an n-simplex in H n or S n , we give sine theorems and their results for kth−order vertex angles which are defined in this paper. The Gram and edge matrices, and polar simplex of n-simplex in H n or S n are used to prove the theorems and their results.

Research paper thumbnail of Orthogonal Projections Based on Hyperbolic and Spherical n -Simplex

Advances in Mathematical Physics, 2015

Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram ma... more Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to k-plane of hyperbolic and spherical n-space.

Research paper thumbnail of Modeling and Simulation of a Series Hybrid Propulsion Chain for Small Ships

2017 IEEE Vehicle Power and Propulsion Conference (VPPC), 2017

Hybridization is a promising approach to reduce fuel consumption and environmental impacts of shi... more Hybridization is a promising approach to reduce fuel consumption and environmental impacts of ships. Hybridization is particularly suitable for ships operating on cycles with large power variations and requiring a high degree of maneuverability. The modeling and simulation of such systems is essential in their design, analysis, and power management, especially with the mass and volume constraints of small vessels. In this context, this paper presents a modeling approach of a series hybrid ship propulsion using Matlab / Simulink. This modeling tool associates models of the energy conversion components and hydrodynamics models related to ship hull and propeller. This tool allows evaluating efficiently the performances of such systems.

Research paper thumbnail of ALMA band 2+ (67–95 GHz) receiver optics

Recently, NRAO has successfully developed an ALMA band 2 (67–90 GHz) prototype receiver based on ... more Recently, NRAO has successfully developed an ALMA band 2 (67–90 GHz) prototype receiver based on MIC low noise amplifiers (LNA). NAOJ collaborated in the receiver optics design and simulations. After some initial evaluation of the performance of new MMIC LNAs, it has been decided to extend the frequency coverage to 95 GHz to cover some additional science cases. In this paper, we describe the design of a new corrugated horn and dielectric lens to extend the receiver optics bandwidth up to 95 GHz. A new design target has been to ease fabrication. The new receiver optics has a fractional bandwidth of 35% and is fully compliant with ALMA specifications.

Research paper thumbnail of 312 Activation of AhR in Langerhans cells by a microbial metabolite of tryptophan maintains skin homeostasis

Journal of Investigative Dermatology, 2020

Research paper thumbnail of New geometry curriculum for secondary education

Research paper thumbnail of On the Generalized Stereographic Projection

Beitrage zur Algebra und Geometrie

this paper is to give a possible generalization for stereographic projection of n-dimensional pse... more this paper is to give a possible generalization for stereographic projection of n-dimensional pseudosphere with -index, inversion of (n Gamma 1)-dimensional pseudosphere with -index and to obtain some geometrical results. We see that stereographic projection in [10], [11], [12], [13] is a special case of = 1

Research paper thumbnail of Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space

Journal of Applied Mathematics, 2014

We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) g... more We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups inH3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups ofG0inH3. Also, we give explicit parametrization of these invariant surfaces with respect to constant hyperbolic curvature of profile curves. Finally, we obtain some corollaries for flat and minimal invariant surfaces which are associated with de Sitter and hyperbolic shape operator inH3.

Research paper thumbnail of Edge Matrix of Hyperbolic Simplices

Geometriae Dedicata, 2004

In this paper, by using the dual problem which was solved by Feng Luo (Geom. Dedicata64 (1997), 2... more In this paper, by using the dual problem which was solved by Feng Luo (Geom. Dedicata64 (1997), 277–282) and a new method, we give necessary and sufficient conditions for given (n(n+1)) /2 positive real numbers to be the edge lengths of a hyperbolic n-simplex. By using determinants, we also give necessary and sufficient conditions for given (n(n+1)) /2 positive real numbers to be the edge lengths of a spherical n-simplex.

Research paper thumbnail of Girard Type Theorems for de Sitter Triangles with non-null Edges

Girard's Theorem subjects to the area depending interior angles of a spherical triangle. In t... more Girard's Theorem subjects to the area depending interior angles of a spherical triangle. In this paper, we introduce to its analogues for proper de Sitter triangles with non-null edges.

Research paper thumbnail of Constant angle spacelike surface in de Sitter space S₁³

Boletim da Sociedade Paranaense de Matemática

In this paper; using the angle between unit normal vector field of surfaces and a fixed spacelike... more In this paper; using the angle between unit normal vector field of surfaces and a fixed spacelike axis in R₁⁴, we develop two class of spacelike surface which are called constant timelike angle surfaces with timelike and spacelike axis in de Sitter space S₁³.

Research paper thumbnail of Central Angle Theorem for Hyperbolic Angle

In this study, we give a dierent proof for the central angle theorem in the Lorentz plane. We als... more In this study, we give a dierent proof for the central angle theorem in the Lorentz plane. We also obtain beneficial trigonometric results regarding to the interior, exterior, and inscribes angle on the Lorentz circle S 1 1 .

Research paper thumbnail of Dihedral Angles and Edge Lengths of Spacelike n−simplex in Sn

In this paper, we give necessary and sufficent conditions for n(n+1)/2 positive real numbers φij ... more In this paper, we give necessary and sufficent conditions for n(n+1)/2 positive real numbers φij and θij to be dihedral angles and edge lengths of an n−simplex having spacelike faces with codimensions 1 and 2 in de Sitter space

Research paper thumbnail of n−dimensional Trigonometric Proportions for Rectangular Simplices

The main aim of this paper is to obtain n−dimensional versions of trigonometric proportions for r... more The main aim of this paper is to obtain n−dimensional versions of trigonometric proportions for right triangle in terms of hypotenuse and perpendicular volume faces of a rectangular simplices.