Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
aliasing is a technique used in digital imaging to reduce the visual defects that occur when high-resolution images are presented in a lower resolution.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
aliasing is a technique used in digital imaging to reduce the visual defects that occur when high-resolution images are presented in a lower resolution.
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdfKamal Acharya
Online movie ticket booking system for movies is a web-based program. This application allows users to purchase cinema tickets over the portal. To buy tickets, people must first register or log in. This website's backend is PHP and JavaScript, and the front end is HTML and CSS. All phases of the software development life cycle are efficiently managed in order to design and implement software. On the website, there are two panels: one for administrators and one for customers/users. The admin has the ability to add cinemas, movies, delete, halt execution, and add screens, among other things. The website is simple to navigate and appealing, saving the end user time.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Quality defects in TMT Bars, Possible causes and Potential Solutions.PrashantGoswami42
Maintaining high-quality standards in the production of TMT bars is crucial for ensuring structural integrity in construction. Addressing common defects through careful monitoring, standardized processes, and advanced technology can significantly improve the quality of TMT bars. Continuous training and adherence to quality control measures will also play a pivotal role in minimizing these defects.
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
Overview of the fundamental roles in Hydropower generation and the components involved in wider Electrical Engineering.
This paper presents the design and construction of hydroelectric dams from the hydrologist’s survey of the valley before construction, all aspects and involved disciplines, fluid dynamics, structural engineering, generation and mains frequency regulation to the very transmission of power through the network in the United Kingdom.
Author: Robbie Edward Sayers
Collaborators and co editors: Charlie Sims and Connor Healey.
(C) 2024 Robbie E. Sayers
Hall booking system project report .pdfKamal Acharya
PHP and MySQL project on Hall Booking System is a web based project and it has been developed in PHP and MySQL and we can manage Payment, Booking, Inventory, Booking Dates, Customers and Hall from this project.
The main objective to develop Hall Booking System PHP, MySQL, JAVA SCRIPT and BOOTSRAP Project is to overcome the manual errors and make a computerized system.
In this project, there are various type of modules available to manage Customers, Booking, Payment. We can also generate reports for Booking, Payment, Booking Dates, Hall. Here the Payment module manage all the operations of Payment, Booking module can manage Booking, Inventory module is normally developed for managing Inventory, Booking Dates module manages Booking Dates operations, Customers module has been implemented to manage Customers.
In this project all the modules like Payment, Booking Dates, Booking are tightly coupled and we can track the information easily. Ifyou are looking for Free Hall Booking System Project in PHP and MySQL then you can visit our free projects section.
We can easily get the list of wedding halls & lawns in Nagpur. Also we have detailed contact information for some particular hall. But we cannot get the availability about hall. So background behind this web portal is that it gives the area wise listing of wedding halls & lawns with the detailed information of individual and also display for particular date the hall is available or not. Just dial is the system in which we can only find the name of Hall and Lawns in city. In just dial we cannot find Halls in specific area. This system cannot show all information about any Hall. This system is not able to book the Halls online.
The A Web Based Hall Booking Management System is designed to overcome the disadvantage of previous system.We can easily get the list of Wedding Halls. But we cannot get the availability about Hall. So background behind this web portal is that it gives the area wise listing of Wedding Halls with the detailed information of individual and also display for particular date the Hall is available or not. This is a special type of web portal to easily get the information of all Wedding Halls in Nagpur which display separate calendar for separate Hall. For particular date the Hall. We can availability of Hall as well as Lawns detailed information about individuals Hall in our web portal . It provides all facilities to clients with lowest cost and lowest maintenance problems.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
Q.1 A single plate clutch with both sides of the plate effective is required to transmit 25 kW at 1600 r.p.m. The outer diameter of the plate is limited to 300 mm and the intensity of pressure between the plates not to exceed 0.07N / m * m ^ 2 Assuming uniform wear and coefficient of friction 0.3, find the inner diameter of the plates and the axial force necessary to engage the clutch.
Q.2 A multiple disc clutch has radial width of the friction material as 1/5th of the maximum radius. The coefficient of friction is 0.25. Find the total number of discs required to transmit 60 kW at 3000 r.p.m. The maximum diameter of the clutch is 250 mm and the axial force is limited to 600 N. Also find the mean unit pressure on each contact surface.
Q.3 A cone clutch is to be designed to transmit 7.5 kW at 900 r.p.m. The cone has a face angle of 12°. The width of the face is half of the mean radius and the normal pressure between the contact faces is not to exceed 0.09 N/mm². Assuming uniform wear and the coefficient of friction between the contact faces as 0.2, find the main dimensions of the clutch and the axial force required to engage the clutch.
Q.4 A cone clutch is mounted on a shaft which transmits power at 225 r.p.m. The small diameter of the cone is 230 mm, the cone face is 50 mm and the cone face makes an angle of 15 deg with the horizontal. Determine the axial force necessary to engage the clutch to transmit 4.5 kW if the coefficient of friction of the contact surfaces is 0.25. What is the maximum pressure on the contact surfaces assuming uniform wear?
Q.5 A soft surface cone clutch transmits a torque of 200 N-m at 1250 r.p.m. The larger diameter of the clutch is 350 mm. The cone pitch angle is 7.5 deg and the face width is 65 mm. If the coefficient of friction is 0.2. find:
1. the axial force required to transmit the torque:
2. the axial force required to engage the clutch;
3. the average normal pressure on the contact surfaces when the maximum torque is being transmitted; and
4. the maximum normal pressure assuming uniform wear.
Q.6 A single block brake, as shown in Fig. 1. has the drum diameter 250 mm. The angle of contact is 90° and the coefficient of friction between the drum and the lining is 0.35. If the torque transmitted by the brake is 70 N-m, find the force P required to operate the brake. Q.7 The layout and dimensions of a double shoe brake is shown in Fig. 2. The diameter of the
brake drum is 300 mm and the contact angle for each shoe is 90°. If the coefficient of friction for the brake lining and the drum is 0.4, find the spring force necessary to transmit a torque of 30 N-m. Also determine the width of the brake shoes, if the bearing pressure on the lining material is not to exceed 0.28N / m * m ^ 2
2. Abstract
• We present and study existing digital differential analyzer (DDA) algorithms for circle generation,
including an improved two-step DDA algorithm which can be implemented solely in terms of
elementary shifts, addition, and subtraction.
3. Introduction
• Digital interpolation algorithms are widely used in machine tools with numerical control, graphics
displays and plotters, and manipulation robots. Circles and circular arcs frequently appear in
computer graphics, computer-controlled printing, and automated control;
• One of most popular methods for generation of circles and arcs is known as digital differential
analyzer (DDA).
• In this chapter a new improved two-step algorithm for DDA circle generation is presented.
• The accuracy of this method is higher than the accuracy of other known algorithms.
• Because of its simplicity (it uses only elementary shift, addition, and subtraction); this method can
also be used in numerical control, planning mechanisms, and so forth.
4. DDA Algorithms
• The general class of DDA algorithms for circles generation is based on obvious trigonometric
transformations describing rotation of vector R in the coordinate plane x and y
• Advantages of DDA algorithms include simplicity and high speed in generating circle point coordinate
xn+1, yn+1 .
6. Bezier Curve-
Bezier Curve may be defined as-
•Bezier Curve is parametric curve defined by a set of control points.
•Two points are ends of the curve.
•Other points determine the shape of the curve.
The concept of Bezier curves was given by Pierre Bezier.
Bezier Curve Example-
The following curve is an example of a Bezier curve-
Here,
• This bezier curve is defined by a set of control
points b0, b1, b2 and b3.
• Points b0 and b3 are ends of the curve.
• Points b1 and b2 determine the shape of the curve.
7. Bezier Curve Properties- Few important properties of a Bezier curve are-
Property-01: Bezier curve is always contained within a polygon called as convex hull of its control points.
Property-02:
• Bezier curve generally follows the shape of its defining polygon.
• The first and last points of the curve are coincident with the first and last points of the defining polygon.
Property-03:
• The degree of the polynomial defining the curve segment is one less than the total number of control
points.
Degree = Number of Control Points – 1
8. Bezier Curve Properties- Few important properties of a Bezier curve are-
Property-04:
• The order of the polynomial defining the curve segment is equal to the total number of control points.
Order = Number of Control Points
Property-05:
• Bezier curve exhibits the variation diminishing property.
• It means the curve do not oscillate about any straight line more often than the defining polygon.
9. Bezier Curve Equation-
A bezier curve is parametrically represented by-
Here,
• t is any parameter where 0 <= t <= 1
• P(t) = Any point lying on the bezier curve
• Bi = ith control point of the bezier curve
• n = degree of the curve
• Jn,i(t) = Blending function = C(n,i)ti(1-t)n-i where C(n,i) = n! / i!(n-i)!
10. Cubic Bezier Curve-
• Cubic bezier curve is a bezier curve with degree 3.
• The total number of control points in a cubic bezier curve is 4.
Here,
• This curve is defined by 4 control points b0, b1, b2 and b3.
• The degree of this curve is 3.
• So, it is a cubic bezier curve.
Substituting n = 3 for a cubic bezier curve, we get-
11. Cubic Bezier Curve-
• Cubic bezier curve is a bezier curve with degree 3.
• The total number of control points in a cubic bezier curve is 4.
Substituting n = 3 for a cubic bezier curve, we get-
Expanding the above equation, we get-
P (t) = B0J3,0(t) + B1J3,1(t) + B2J3,2(t) + B3J3,3(t) ………..(1)
Now,
12. Cubic Bezier Curve-
Expanding the above equation, we get-
P (t) = B0J3,0(t) + B1J3,1(t) + B2J3,2(t) + B3J3,3(t) ………..(1)
Now,
13. Cubic Bezier Curve-
Expanding the above equation, we get-
P (t) = B0J3,0(t) + B1J3,1(t) + B2J3,2(t) + B3J3,3(t) ………..(1)
Now,
Using (2), (3), (4) and (5) in (1), we get-
P(t) = B0(1-t)3 + B13t(1-t)2 + B23t2(1-t) + B3t3
This is the required parametric equation for a cubic bezier curve.
14. Applications of Bezier Curve-
Bezier curves have their applications in the following fields-
1. Computer Graphics-
• Bezier curves are widely used in computer graphics to model smooth curves.
• The curve is completely contained in the convex hull of its control points.
• So, the points can be graphically displayed & used to manipulate the curve intuitively.
2. Animation-
• Bezier curves are used to outline movement in animation applications such as Adobe Flash and synfig.
• Users outline the wanted path in bezier curves.
• The application creates the needed frames for the object to move along the path.
• For 3D animation, bezier curves are often used to define 3D paths as well as 2D curves.
3. Fonts-
• True type fonts use composite bezier curves composed of quadratic bezier curves.
• Modern imaging systems like postscript, asymptote etc use composite bezier curves composed of cubic bezier
curves for drawing curved shapes.
15. 2
Koch Curve
What is Koch Curve?
The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a
mathematical curve and one of the earliest fractal curves to have been described. It is
based on the Koch curve, which appeared in a 1904 paper titled “On a continuous curve
without tangents, constructible from elementary geometry” by the Swedish
mathematician Helge von Koch.
The progression for the area of the snowflake converges to 8/5 times the area of the
original triangle, while the progression for the snowflake’s perimeter diverges to infinity.
Consequently, the snowflake has a finite area bounded by an infinitely long line.
21. Construction
Step1: Draw an equilateral triangle. You can draw it with a compass or
protractor, or just eyeball it if you don’t want to spend too much time
drawing the snowflake.
It’s best if the length of the sides are divisible by 3, because of the nature
of this fractal. This will become clear in the next few steps.
23. Construction
Step3: Draw an equilateral triangle on each middle part. Measure the length of the
middle third to know the length of the sides of these new triangles.
24. Construction
Step4: Divide each outer side into thirds. You can see the 2nd generation of
triangles covers a bit of the first. These three line segments shouldn’t
be parted in three.
25. Construction
Step5: Draw an equilateral triangle on each middle part. Note how you draw each
next generation of parts that are one 3rd of the mast one.
26. 8
Pseudocode Algorithm
Tomake a Koch Curve:
• Draw a straight line if depth is zero; otherwise
draw four smaller Koch Curves.
27. Koch Curve
The Koch curve is to divide a line into three equal segments and replace the
middle segment with two lines of the same length.
12
28. • The Koch snowflake can be constructed by starting
with an equilateral triangle, then recursively altering
each line segment as follows:
divide the line segment into fore segments of equal
length.
draw an equilateral triangle that has the middle
segment from step 1 as its base and points outward.
remove the line segment that is the base of the triangle
from step 2.
28
Koch Curve(Construction)