PAPERS by DIPANKAR KUMAR ROY
zenodo.org, 2025
There are so many applications of ellipse equation, such that graphical representation and findin... more There are so many applications of ellipse equation, such that graphical representation and finding problem of any elliptical shapes object, computer graphics, space science, engineering design and so on. In this paper state about general equation of ellipse. Generally, there are various equations for drawing an ellipse in 2d plane but not exactly the equations are general, must have some condition and rule. So, here observed those things and found a problem to create a general equation of ellipse. And tried to invent a polynomial equation of curve that can represent an ellipse and focus of ellipse act as variable of equation (and a starting point of major axis (vertex) also act as a variable).
Animal detection is an emerging field of interest now a days. Movement of animals are detected fo... more Animal detection is an emerging field of interest now a days. Movement of animals are detected for many purposes. Sometimes animals are detected for saving their lives near highway and railway trucks. Sometimes they are traced on fields and need to drive them away in order to save the crops. This paper is an approach towards detection the animals using mobile net from moving vehicles. Raspberry pi which is suitable for the SSD model has been used here. An alarm has been generated here on the detection of an animal. COCO dataset has been used here for the detection.

This paper introduces a new formula for calculating the height
of a triangle, a fundamental geom... more This paper introduces a new formula for calculating the height
of a triangle, a fundamental geometric parameter, which has
significant implications in various scientific and engineering
disciplines. Traditional methods for determining the height of
a triangle rely on well-established formulas derived from
Heron's formula, the Pythagorean theorem, and trigonometric
identities. However, these methods often require extensive
computational effort or specific conditions, such as knowing
the lengths of all sides.
This research aims to simplify the process of height
determination by proposing a novel approach that reduces
computational complexity while maintaining accuracy. The
new formula is derived through an innovative combination of
geometric principles and algebraic manipulations. Specifically,
we explore the relationships between the triangle's base, area,
and certain key ratios that simplify the height calculation.
The implications of this discovery are far-reaching, offering
potential applications in fields such as computer graphics,
architectural design, and robotics, where efficient geometric
computations are crucial. Additionally, this formula enhances
educational methodologies in geometry by providing an
alternative, more accessible approach to understanding
triangle properties.

zenodo, 2021
Purulia has its boundaries on the east with the Medinipur and Bankura Districts of West Bengal, i... more Purulia has its boundaries on the east with the Medinipur and Bankura Districts of West Bengal, in the
North with the Burdwan district of West Bengal and the Dhanbad district of Jharkhand, on the north-west,
west and south-west with the Hazaribagh, Ranchi and Singbhum District of Jharkhand. Apart of the
northern boundary runs through the Centre of the Panchet reservoir so that its water shared by the
Dhanbad and Purulia. Similarly, the Eastern boundary runs partly through the Centre of the Kangsabati
reservoir. Latitudinal extension of the region is 85° 43’E to 86° 55’E and latitudinal extension is 22° 38’N to
23° 37’ N.
our objectives int this final assignment:
I. To study the general Physiographic characters of the study area.
II. To study the Socio-Economic status of the local people.
III. To prepare of Land Use Land Cover Map of the study area by Visual Interpretation.
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PAPERS by DIPANKAR KUMAR ROY
of a triangle, a fundamental geometric parameter, which has
significant implications in various scientific and engineering
disciplines. Traditional methods for determining the height of
a triangle rely on well-established formulas derived from
Heron's formula, the Pythagorean theorem, and trigonometric
identities. However, these methods often require extensive
computational effort or specific conditions, such as knowing
the lengths of all sides.
This research aims to simplify the process of height
determination by proposing a novel approach that reduces
computational complexity while maintaining accuracy. The
new formula is derived through an innovative combination of
geometric principles and algebraic manipulations. Specifically,
we explore the relationships between the triangle's base, area,
and certain key ratios that simplify the height calculation.
The implications of this discovery are far-reaching, offering
potential applications in fields such as computer graphics,
architectural design, and robotics, where efficient geometric
computations are crucial. Additionally, this formula enhances
educational methodologies in geometry by providing an
alternative, more accessible approach to understanding
triangle properties.
North with the Burdwan district of West Bengal and the Dhanbad district of Jharkhand, on the north-west,
west and south-west with the Hazaribagh, Ranchi and Singbhum District of Jharkhand. Apart of the
northern boundary runs through the Centre of the Panchet reservoir so that its water shared by the
Dhanbad and Purulia. Similarly, the Eastern boundary runs partly through the Centre of the Kangsabati
reservoir. Latitudinal extension of the region is 85° 43’E to 86° 55’E and latitudinal extension is 22° 38’N to
23° 37’ N.
our objectives int this final assignment:
I. To study the general Physiographic characters of the study area.
II. To study the Socio-Economic status of the local people.
III. To prepare of Land Use Land Cover Map of the study area by Visual Interpretation.
of a triangle, a fundamental geometric parameter, which has
significant implications in various scientific and engineering
disciplines. Traditional methods for determining the height of
a triangle rely on well-established formulas derived from
Heron's formula, the Pythagorean theorem, and trigonometric
identities. However, these methods often require extensive
computational effort or specific conditions, such as knowing
the lengths of all sides.
This research aims to simplify the process of height
determination by proposing a novel approach that reduces
computational complexity while maintaining accuracy. The
new formula is derived through an innovative combination of
geometric principles and algebraic manipulations. Specifically,
we explore the relationships between the triangle's base, area,
and certain key ratios that simplify the height calculation.
The implications of this discovery are far-reaching, offering
potential applications in fields such as computer graphics,
architectural design, and robotics, where efficient geometric
computations are crucial. Additionally, this formula enhances
educational methodologies in geometry by providing an
alternative, more accessible approach to understanding
triangle properties.
North with the Burdwan district of West Bengal and the Dhanbad district of Jharkhand, on the north-west,
west and south-west with the Hazaribagh, Ranchi and Singbhum District of Jharkhand. Apart of the
northern boundary runs through the Centre of the Panchet reservoir so that its water shared by the
Dhanbad and Purulia. Similarly, the Eastern boundary runs partly through the Centre of the Kangsabati
reservoir. Latitudinal extension of the region is 85° 43’E to 86° 55’E and latitudinal extension is 22° 38’N to
23° 37’ N.
our objectives int this final assignment:
I. To study the general Physiographic characters of the study area.
II. To study the Socio-Economic status of the local people.
III. To prepare of Land Use Land Cover Map of the study area by Visual Interpretation.