1. The document describes algorithms for drawing lines, circles, and ellipses using a midpoint technique. It provides examples showing the steps and calculations to draw various shapes.
2. Key steps in the line algorithm include calculating slope, increment values, and a decision parameter to determine the next point. Circle and ellipse algorithms similarly use initial points, decision parameters, and region-based steps to iteratively plot points.
3. Examples show the incremental calculations and points plotted to draw lines between points, circles with given radii, and ellipses with specified rx and ry values.
Solving second order ordinary differential equations (boundary value problems) using the Least Squares Technique. Contains one numerical examples from Shah, Eldho, Desai
Solving boundary value problems using the Galerkin's method. This is a weighted residual method, studied as an introduction to the Finite Element Method.
This is a part of a series on Advanced Numerical Methods.
Question bank Engineering Mathematics- ii Mohammad Imran
its a very short Revision of complete syllabus with theoretical as well Numerical problems which are related to AKTU SEMESTER QUESTIONS, UPTU PREVIOUS QUESTIONS,
Newton's Backward Interpolation explained with example. History of interpolation along with it's advantages and disadvantages. Applications of interpolation in computer sciences.
Computer graphics lab report with code in cppAlamgir Hossain
This is the lab report for computer graphics in cpp language. Basically this course is only for the computer science and engineering students.
Problem list:
1.Program for the generation of Bresenham Line Drawing.
2. Program for the generation of Digital Differential Analyzer (DDA) Line Drawing.
3. Program for the generation of Midpoint Circle Drawing.
4. Program for the generation of Midpoint Ellipse Drawing.
5. Program for the generation of Translating an object.
6. Program for the generation of Rotating an Object.
7. Program for the generation of scaling an object.
All programs are coaded in cpp language .
Solving second order ordinary differential equations (boundary value problems) using the Least Squares Technique. Contains one numerical examples from Shah, Eldho, Desai
Solving boundary value problems using the Galerkin's method. This is a weighted residual method, studied as an introduction to the Finite Element Method.
This is a part of a series on Advanced Numerical Methods.
Question bank Engineering Mathematics- ii Mohammad Imran
its a very short Revision of complete syllabus with theoretical as well Numerical problems which are related to AKTU SEMESTER QUESTIONS, UPTU PREVIOUS QUESTIONS,
Newton's Backward Interpolation explained with example. History of interpolation along with it's advantages and disadvantages. Applications of interpolation in computer sciences.
Computer graphics lab report with code in cppAlamgir Hossain
This is the lab report for computer graphics in cpp language. Basically this course is only for the computer science and engineering students.
Problem list:
1.Program for the generation of Bresenham Line Drawing.
2. Program for the generation of Digital Differential Analyzer (DDA) Line Drawing.
3. Program for the generation of Midpoint Circle Drawing.
4. Program for the generation of Midpoint Ellipse Drawing.
5. Program for the generation of Translating an object.
6. Program for the generation of Rotating an Object.
7. Program for the generation of scaling an object.
All programs are coaded in cpp language .
This includes different line drawing algorithms,circle,ellipse generating algorithms, filled area primitives,flood fill ,boundary fill algorithms,raster scan fill approaches.
It gives detailed description about Points, Lines, Attributes of Output Primitives, Line Functions, Line Drawing Algorithms, DDA Line drawing algorithms, Bresenham’s Line Algorithm, Circle Generating Algorthims
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Home assignment II on Spectroscopy 2024 Answers.pdf
Computer Graphics - lines, Circles and ellipse
1.
2. For |m|<1
1. Input 2 line end points and store the left end point
in (x0,y0).
2. Load (x0,y0) into the frame buffer to plot the first
end point.
3. Calculate constants ∆x, ∆y, and 2∆y - 2∆x and 2∆y
and obtain the storing value for the decision
parameter as : P0 = 2∆y - ∆x.
4. At each xk along the line, starting at k = 0, do the
following test: if pk < 0, the next point to plot is
(xk+1, yk) and pk+1 = pk + 2∆y else, the next point to
plot is (xk+1, yk+1) and pk+1 = pk + 2∆y - 2∆x
5. Repeat step 4 ∆x times.
3. Suppose we have the line with the 2 following end
points (20,10) and (30,18) use line drawing algorithm
to draw this line.
m=∆y / ∆x = 8/10 < 1.
Initial point : (20,10)
∆x = 10
∆y = 8
2∆y - 2∆x = -4
2∆y = 16
Initial decision parameter P0 = 2∆y - ∆x =16 – 10 = 6
(30,18)
(20,10)
5. For |m|>=1 Interchange the values of x and y (y is
always increasing in the table and the decision
parameter become :
P0 = 2∆x - ∆y and pk+1 = pk + 2∆x - 2∆y or pk + 2∆x .
6. Suppose we have the line with the 2 following end
points (1,3) and (7,12) use line drawing algorithm to
draw this line.
m=∆y / ∆x = 9/6 > 1.
Initial point : (1,3)
∆x = 6
∆y = 9
2∆x - 2∆y = -6
2∆x = 12
Initial decision parameter P0 = 2∆x - ∆y = 3
(7,2)
(1,3)
8. Suppose we have the line with the 2 following end
points (5,7) and (9,19) use line drawing algorithm to
draw this line.
m=∆y / ∆x = 12/4 > 1.
Initial point : (5,7)
∆x = 4
∆y = 12
2∆x - 2∆y = -16
2∆x = 8
Initial decision parameter P0 = 2∆x - ∆y = -4
(9,19)
(5,7)
10. Suppose we have the line with the 2 following end
points (2,6) and (8,7) use line drawing algorithm to
draw this line.
m=∆y / ∆x = 1/6 < 1.
Initial point : (2,6)
∆x = 6
∆y = 1
2∆y - 2∆x = -10
2∆y = 2
Initial decision parameter P0 = 2∆y - ∆x = -4
(8,7)
(2,6)
12. 1. Input radius r and circle center (xi,yi) and obtain
the first point on the circumference of the circle
centered on the origin as (0,r).
2. Calculate the initial value of decision parameter
as p0 = 5/4 – r (if its integer 1-r).
3. At each xk position starting at k=0, perform the
following test: If pk < 0 then the next point on
circle centered on (0,0) is (xk+1,yk) and pk+1 =
pk+2xk+1+1 else the next point along the circle
centered on (0,0) is (xk+1,yk-1) and pk+1 =
pk+2xk+1+1-2yk+1
4. Repeat step 3 until x>=y.
15. 1. Input rx, ry and ellipse center (xc,yc) and obtain the
first point on an ellipse centered (0,0) on the origins
as (x0,y0) = (0,ry).
2. Calculate the initial value of decision parameter in
region 1 as p10 = ry
2 - rx
2 ry + ¼ rx
2.
3. At each xk position in region 1 starting at k=0,
perform the following test: If p1k < 0 then the next
point along the ellipse centered on (0,0) is (xk+1,yk)
and p1k+1 = p1k+2ry
2xk+1+ry
2 else the next point along
the ellipse centered on (0,0) is (xk+1,yk-1) and p1k+1 =
p1k+2ry
2xk+1+ry
2-2rx
2yk+1.
4. Repeat the steps for region 1 until 2ry
2 xk+1>= 2rx
2
yk+1
16. 4. Calculate the initial value of decision parameter
in region 2 using the last point (x0,y0)
calculated in region 1 as p20 = ry
2 (x0+½)2+rx
2 (y0-
1)2-rx
2ry
2
5. At each yk position in region 2 starting at k=0,
perform the following test: If p2k >= 0 then the
next point along the ellipse centered on (0,0) is
(xk,yk-1) and p2k+1 = p2k-2rx
2yk+1+rx
2 else the next
point along the ellipse centered on (0,0) is
(xk+1,yk+1) and p2k+1 = p2k+2ry
2xk+1-2rx
2yk+1+rx
2.
(Note: Use the same increment value for x and y
in region 1.)
6. Repeat the steps for region 2 until yk+1=0.
17. Given ellipse parameter with rx=8 and ry=6 use
midpoint ellipse drawing to draw an ellipse.
Initial point for region 1 (0,ry)=(0,6).
2ry
2x= 0 (with increment value 2ry
2 = 2(6)2=72)
2rx
2y= 2rx
2ry= 2(8)2(6) (with increment value
–rx
2=-2(8)2=-128)
The initial decision parameter for region 1
p10 = ry
2 - rx
2 ry + ¼ rx
2 =(6)2 - (8)2(6) + ¼(8)2 =-332
19. We now move to region 2
Initial point for region 2 (x0,y0)=(7,3).
The initial decision parameter for region 2
p20 = ry
2 (x0+½)2+rx
2 (y0-1)2-rx
2ry
2
=36(7.5)2+64(2)2-64*36= -151
k pk (xk+1,yk+1) 2ry
2 xk+1 2rx
2 yk+1
0 -151 (8,2) 576 256
1 233 (8,1) 576 128
2 745 (8,0) 576 0
20. Given ellipse parameter with rx=8 and ry=10 use
midpoint ellipse drawing to draw an ellipse.
Initial point for region 1 (0,ry)=(0,10).
2ry
2x= 0 (with increment value 2ry
2 = 2(10)2=200)
2rx
2y= 2rx
2ry= 2(8)2(10) (with increment value
–rx
2=-2(8)2=-128)
The initial decision parameter for region 1
p10 = ry
2 - rx
2 ry + ¼ rx
2
=(10)2 - (8)2(10) + ¼(8)2 =-524