Pi (Maths)
•Download as PPTX, PDF•
4 likes•596 views
The document discusses the history and uses of pi. It provides more precise approximations of pi over time, from ancient fractions to calculations reaching over 200 million digits in 1999. Pi is ubiquitous in fields like engineering, statistics, medicine, and more where it is used to calculate areas, model population dynamics, and solve other problems involving circles and spheres.
Report
Share
Report
Share
Recommended
Pi
The number π is a mathematical constant. Pi Day is an annual celebration of the mathematical constant π (pi). Pi Day is observed on March 14 (3/14 in the month/day date format) since 3, 1, and 4 are the first three significant digits of 휋. In 2009, the United States House of Representatives supported the designation of Pi Day.
Using pi, it can measure things like ocean wave, light waves, sound waves, river bends, radioactive particle distribution and probability like the distribution of pennies, the grid of nails and mountains by using a series of circles.
Maths Pi
- William Jones is credited with first using the symbol π in 1706 to represent the ratio of a circle's circumference to its diameter, which had previously been undefined.
- Archimedes was one of the first to calculate an approximation of pi, determining that 223/71 < π < 22/7.
- Pi Day is celebrated on March 14th in recognition of the first three digits of pi in decimal form - 3.14. Some also celebrate Pi Approximation Day on July 22nd due to the common approximation of 22/7.
Pi
Pi is the ratio of a circle's circumference to its diameter. It is an irrational number that cannot be expressed as a fraction and its value never repeats. Throughout history, mathematicians have worked to calculate Pi to greater levels of precision, advancing from the ancient Babylonians' approximation of 3 1/8 to modern computers calculating Pi to billions of decimal places. Analytic geometry and calculus in the 17th century allowed Pi to be applied to shapes beyond just circles.
Power presentation of pi
This document provides a historical overview of calculations of the mathematical constant pi. It describes how ancient cultures like the Egyptians, Babylonians, and Bible approximated pi as 3. It then discusses how Archimedes was the first to theoretically calculate pi between 223/71 and 22/7. The document traces how mathematicians and scientists from cultures like Greek, Islamic, Indian, and European progressively calculated pi to more decimal places over centuries, with modern computers allowing for thousands of decimal places. It emphasizes how calculating pi more precisely has been an ongoing goal of the scientific community to enable more accurate measurements.
Number pi
Pi is a mathematical constant approximately equal to 3.14159. It is the ratio of a circle's circumference to its diameter and is commonly represented by the Greek letter π. Archimedes first calculated pi by developing a method to inscribe polygons inside circles and estimating their areas, known as the method of exhaustion. Throughout history, many mathematicians have worked to calculate more decimals of pi, which is irrational and non-terminating. Pi is now celebrated on March 14th in honor of its digits 3.14.
History of pi
Pi is the ratio of a circle's circumference to its diameter. It has been known and studied since ancient times by cultures like the Egyptians and Babylonians, though its precise value was unknown. Pi is represented by the Greek letter π because in Greek, "p" stands for perimeter. The decimal representation of pi goes on indefinitely without repeating in a pattern. It is celebrated on March 14th (3.14) as Pi Day.
History of pie
The document provides information about pi (π) in 3 paragraphs. It states that pi is the ratio of a circle's circumference to its diameter, is an irrational number, and has been calculated to over 206 billion digits. The history of pi is discussed, noting it was proven irrational in 1761 and transcendental in 1882. Methods of calculating pi are also summarized, including a supercomputer calculating over 206 billion digits in 1999.
What I Spi
The document discusses the history and properties of the mathematical constant pi (π). It covers:
- Pi is the ratio of a circle's circumference to its diameter.
- Pi is an irrational number that repeats endlessly. Early cultures estimated pi to around 3 or 3.14. Archimedes first approximated it as between 223/71 and 22/7.
- Pi is useful for calculating the circumference and area of circles. Many fields of science rely on pi in their equations.
Recommended
Pi
The number π is a mathematical constant. Pi Day is an annual celebration of the mathematical constant π (pi). Pi Day is observed on March 14 (3/14 in the month/day date format) since 3, 1, and 4 are the first three significant digits of 휋. In 2009, the United States House of Representatives supported the designation of Pi Day.
Using pi, it can measure things like ocean wave, light waves, sound waves, river bends, radioactive particle distribution and probability like the distribution of pennies, the grid of nails and mountains by using a series of circles.
Maths Pi
- William Jones is credited with first using the symbol π in 1706 to represent the ratio of a circle's circumference to its diameter, which had previously been undefined.
- Archimedes was one of the first to calculate an approximation of pi, determining that 223/71 < π < 22/7.
- Pi Day is celebrated on March 14th in recognition of the first three digits of pi in decimal form - 3.14. Some also celebrate Pi Approximation Day on July 22nd due to the common approximation of 22/7.
Pi
Pi is the ratio of a circle's circumference to its diameter. It is an irrational number that cannot be expressed as a fraction and its value never repeats. Throughout history, mathematicians have worked to calculate Pi to greater levels of precision, advancing from the ancient Babylonians' approximation of 3 1/8 to modern computers calculating Pi to billions of decimal places. Analytic geometry and calculus in the 17th century allowed Pi to be applied to shapes beyond just circles.
Power presentation of pi
This document provides a historical overview of calculations of the mathematical constant pi. It describes how ancient cultures like the Egyptians, Babylonians, and Bible approximated pi as 3. It then discusses how Archimedes was the first to theoretically calculate pi between 223/71 and 22/7. The document traces how mathematicians and scientists from cultures like Greek, Islamic, Indian, and European progressively calculated pi to more decimal places over centuries, with modern computers allowing for thousands of decimal places. It emphasizes how calculating pi more precisely has been an ongoing goal of the scientific community to enable more accurate measurements.
Number pi
Pi is a mathematical constant approximately equal to 3.14159. It is the ratio of a circle's circumference to its diameter and is commonly represented by the Greek letter π. Archimedes first calculated pi by developing a method to inscribe polygons inside circles and estimating their areas, known as the method of exhaustion. Throughout history, many mathematicians have worked to calculate more decimals of pi, which is irrational and non-terminating. Pi is now celebrated on March 14th in honor of its digits 3.14.
History of pi
Pi is the ratio of a circle's circumference to its diameter. It has been known and studied since ancient times by cultures like the Egyptians and Babylonians, though its precise value was unknown. Pi is represented by the Greek letter π because in Greek, "p" stands for perimeter. The decimal representation of pi goes on indefinitely without repeating in a pattern. It is celebrated on March 14th (3.14) as Pi Day.
History of pie
The document provides information about pi (π) in 3 paragraphs. It states that pi is the ratio of a circle's circumference to its diameter, is an irrational number, and has been calculated to over 206 billion digits. The history of pi is discussed, noting it was proven irrational in 1761 and transcendental in 1882. Methods of calculating pi are also summarized, including a supercomputer calculating over 206 billion digits in 1999.
What I Spi
The document discusses the history and properties of the mathematical constant pi (π). It covers:
- Pi is the ratio of a circle's circumference to its diameter.
- Pi is an irrational number that repeats endlessly. Early cultures estimated pi to around 3 or 3.14. Archimedes first approximated it as between 223/71 and 22/7.
- Pi is useful for calculating the circumference and area of circles. Many fields of science rely on pi in their equations.
Pie
Pi (π) is a mathematical constant that is approximately equal to 3.14159. It is the ratio of a circle's circumference to its diameter. Over time, many mathematicians developed different formulas to calculate Pi, including formulas developed by Leibniz, Wallis, Machin, Sharp, and Euler. Pi is an irrational number that never repeats and has been computed to over 10,000 places. The early history of calculating Pi involved inscribing and circumscribing polygons around circles. While Pi seems like a simple concept, it has been studied and calculated for centuries and continues to be relevant in mathematics, science, and computing.
The Origin And History Of Pi By Nikitha Reddy
Pi is the ratio of a circle's circumference to its diameter. It has been estimated and calculated since ancient times but was more accurately defined over thousands of years of mathematical development. Pi is used in formulas to calculate the area, circumference, and volume of circles and spheres, and it has applications in many fields like engineering, agriculture, and construction.
History of pi
Pi has been studied for millennia. Ancient texts like the Bible contained approximations of pi. Archimedes was the first to calculate pi theoretically, determining that 223/71 is less than pi and pi is less than 22/7. It has since been calculated to trillions of digits. Pi is vital because the circumference of any circle is equal to its diameter multiplied by pi, so without pi we could not calculate properties of spherical objects like the Earth. Mathematicians continue striving to more precisely calculate pi.
The history of pi
The document discusses the history and properties of pi (π). It describes how various ancient civilizations like the Babylonians, Hebrews, and Egyptians approximated pi. The Greeks studied pi's relationship to circles, cones, and cylinders. Over centuries, mathematicians like Machin, Euler, and Lambert improved approximations of pi and proved its irrationality. With modern computers, pi has been calculated to extreme accuracy. The document also notes how pi is
PI THE MATHEMATICAL CONSTANT
Pi (π) represents the ratio of a circle's circumference to its diameter. It is an irrational number that cannot be written as a fraction. Archimedes first calculated pi to approximate its value around 250 BC. Since then, mathematicians have developed various methods and formulas to calculate pi to greater decimal places, aided by advances like calculus and digital computers. Pi is widely used in fields like engineering, science, and architecture for calculating areas and volumes of circles.
Story of pi
A presentation which explains about Pi, its origin and history. Complete with animations is ideal for use in classroom presentations.
invention of pi
π (pi) is the ratio of a circle's circumference to its diameter. It is an irrational and transcendental number represented by the Greek letter π. William Jones is believed to have first used π in its modern sense in 1706 to represent the constant ratio, rather than a varying circumference. Important formulas using π include the circumference of a circle (2πr), area of a circle (πr^2), and volume/surface area of a sphere. While π cannot be expressed exactly as a fraction, it is commonly approximated as 22/7 or 3.14159.
History of pi
This PPT is on the history of PI. It includes everything that one may require. This ppt is interesting as well as informative.
Historie pi en
This document provides a history of the number Pi from ancient civilizations to modern times. It discusses how Pi was conceptualized and calculated in ancient Egypt, Mesopotamia, China, and among ancient Greek mathematicians like Archimedes. It then covers the stagnation of math during the Middle Ages, followed by advances during the Renaissance made by mathematicians like Viete and Ludolf van Ceulen. The 18th and 19th centuries saw more accurate calculations of Pi. In the 20th century, computers were used to calculate Pi to increasing levels of precision. The document concludes by noting modern applications of Pi in fields like computing and its cultural significance.
Pi day presentation 1
Pi Day is celebrated on March 14th (3/14) in honor of the mathematical constant π (pi). Pi is the ratio of a circle's circumference to its diameter and is approximately 3.14. Archimedes calculated pi to a very close degree by determining the length of a polygon inscribed within a circle and dividing by the diameter. The largest calculation of pi digits was over 1 trillion digits by a Japanese supercomputer in 2002. Pi is involved in formulas relating to areas and volumes of circles, spheres, cylinders, and cones.
Pi day!!! powerpoint
This document discusses Pi Day activities that will take place, including singing Pi Day songs, participating in Pi trivia games and contests, making Pi-themed crafts like bracelets revealing digits of Pi, and learning interesting facts about the number Pi. Students are encouraged to celebrate Pi Day on March 14th (3/14) through interactive games and songs that involve reciting digits of Pi.
Pi Ppt
This document discusses the history and properties of the mathematical constant pi (π). It describes how pi has been calculated and approximated throughout history using different methods, from the ancient Greeks to modern computers. The document also discusses how pi is an irrational number that cannot be expressed as a fraction, and how computing pi to increasing numbers of decimal places has helped test and develop computing technology over time.
My maths ppt
Pi is the ratio of a circle's circumference to its diameter. The document traces the history of pi from ancient Egyptians and Babylonians through Archimedes and the development of calculus. Pi is now known to over 6 billion places due to modern computers. Pi has many applications and is used in formulas by engineers, architects, agriculturists, and other professionals for calculating areas, circumferences, and volumes of circles and spheres.
Pi (π)
This document provides information about pi (π), including:
- Pi is a mathematical constant that is the ratio of a circle's circumference to its diameter. It is an irrational and non-terminating number with a value of approximately 3.14159.
- The history of pi discusses how European mathematicians developed formulas to calculate pi more accurately over time.
- Pi is used in geometric formulas to calculate areas and volumes of shapes like circles, spheres, and cones. Pi day is celebrated on March 14th in honor of the first three digits of pi.
Pi
The document discusses algorithms for calculating the mathematical constant pi. It provides a brief history of pi, including its origins in Greek mathematics and early approximations by various ancient civilizations. Several algorithms are summarized for calculating pi to increasing degrees of precision, including Madhava's series in the 14th century, Leibniz's and Euler's formulas, John Machin's formula, Ramanujan's formula, the Bailey–Borwein–Plouffe formula, continued fractions, and infinite products.
Heron’s formula
I can say this power point will help you to know about "HERON’S FORMULA". You will understand the meaning of 'HERON’S FORMULA'.This power point is best for class 9.
Monish Jeswani.
Thank You!!!!
History of pi
Pi has been approximated for over 4000 years through various methods by ancient cultures. Archimedes was the first to calculate pi by using polygons to find the area between the inscribed and circumscribed shapes, determining pi was between 3 1/7 and 3 10/71. Zu Chongzhi, a 5th century Chinese mathematician, calculated pi to 355/113 through lengthy calculations using a 24,576-gon polygon. The Greek symbol π began being used in the 1700s and was popularized by Euler in 1737.
presentation on pi.pptx
This presentation discusses the mathematical constant Pi (π). It begins by introducing Pi as the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. Pi has been represented by the Greek letter π since the mid-18th century. The document then defines Pi more precisely as the ratio of a circle's circumference to its diameter. It notes that the ancient Greek mathematician Archimedes discovered Pi and was able to approximate it to high precision using polygons. The presentation concludes by discussing the importance of Pi in mathematics, science, and engineering and some historical methods used to calculate Pi more accurately such as measuring circles and using polygons.
A Project on Pi
A beautiful presentation describing the history of pi and its use and application in real life situations. It also covers calculating pi and world records about the number of digits of pi that have been calculated. Hope you enjoy and use it!!
History of pi
This is project made by me on "history of pi". The project is not pictorial, it has only reading matter, please forgive for the same.
Cervical Spine Range of Motion Measurement Utilizing Image Analysis - VISAPP2022
This study developed a system to automatically measure cervical spine range of motion (CRoM) angles from cervical spine X-ray images using deep learning. The system used Mask R-CNN for image segmentation and measured angles between vertebrae similarly to manual methods. An evaluation found the average error was 3.5 degrees with a standard deviation of 2.8 degrees, comparable to measurements by residents. However, accuracy was poorer for the C1/C2 vertebrae. Future work will explore improving segmentation and developing computer-aided diagnosis of cervical issues.
Total station
Total stations are surveying instruments that electronically measure angles and distances to calculate locations of points. They combine an electronic distance meter, theodolite, and microprocessor. Measurements can achieve angular accuracy of 1-20 seconds and linear accuracy of 2-10 mm per km. Total stations are used for topographic surveys, construction layout, and other applications. Proper use requires careful centering, accurate pointing, averaging multiple measurements, and accounting for environmental factors.
More Related Content
What's hot
Pie
Pi (π) is a mathematical constant that is approximately equal to 3.14159. It is the ratio of a circle's circumference to its diameter. Over time, many mathematicians developed different formulas to calculate Pi, including formulas developed by Leibniz, Wallis, Machin, Sharp, and Euler. Pi is an irrational number that never repeats and has been computed to over 10,000 places. The early history of calculating Pi involved inscribing and circumscribing polygons around circles. While Pi seems like a simple concept, it has been studied and calculated for centuries and continues to be relevant in mathematics, science, and computing.
The Origin And History Of Pi By Nikitha Reddy
Pi is the ratio of a circle's circumference to its diameter. It has been estimated and calculated since ancient times but was more accurately defined over thousands of years of mathematical development. Pi is used in formulas to calculate the area, circumference, and volume of circles and spheres, and it has applications in many fields like engineering, agriculture, and construction.
History of pi
Pi has been studied for millennia. Ancient texts like the Bible contained approximations of pi. Archimedes was the first to calculate pi theoretically, determining that 223/71 is less than pi and pi is less than 22/7. It has since been calculated to trillions of digits. Pi is vital because the circumference of any circle is equal to its diameter multiplied by pi, so without pi we could not calculate properties of spherical objects like the Earth. Mathematicians continue striving to more precisely calculate pi.
The history of pi
The document discusses the history and properties of pi (π). It describes how various ancient civilizations like the Babylonians, Hebrews, and Egyptians approximated pi. The Greeks studied pi's relationship to circles, cones, and cylinders. Over centuries, mathematicians like Machin, Euler, and Lambert improved approximations of pi and proved its irrationality. With modern computers, pi has been calculated to extreme accuracy. The document also notes how pi is
PI THE MATHEMATICAL CONSTANT
Pi (π) represents the ratio of a circle's circumference to its diameter. It is an irrational number that cannot be written as a fraction. Archimedes first calculated pi to approximate its value around 250 BC. Since then, mathematicians have developed various methods and formulas to calculate pi to greater decimal places, aided by advances like calculus and digital computers. Pi is widely used in fields like engineering, science, and architecture for calculating areas and volumes of circles.
Story of pi
A presentation which explains about Pi, its origin and history. Complete with animations is ideal for use in classroom presentations.
invention of pi
π (pi) is the ratio of a circle's circumference to its diameter. It is an irrational and transcendental number represented by the Greek letter π. William Jones is believed to have first used π in its modern sense in 1706 to represent the constant ratio, rather than a varying circumference. Important formulas using π include the circumference of a circle (2πr), area of a circle (πr^2), and volume/surface area of a sphere. While π cannot be expressed exactly as a fraction, it is commonly approximated as 22/7 or 3.14159.
History of pi
This PPT is on the history of PI. It includes everything that one may require. This ppt is interesting as well as informative.
Historie pi en
This document provides a history of the number Pi from ancient civilizations to modern times. It discusses how Pi was conceptualized and calculated in ancient Egypt, Mesopotamia, China, and among ancient Greek mathematicians like Archimedes. It then covers the stagnation of math during the Middle Ages, followed by advances during the Renaissance made by mathematicians like Viete and Ludolf van Ceulen. The 18th and 19th centuries saw more accurate calculations of Pi. In the 20th century, computers were used to calculate Pi to increasing levels of precision. The document concludes by noting modern applications of Pi in fields like computing and its cultural significance.
Pi day presentation 1
Pi Day is celebrated on March 14th (3/14) in honor of the mathematical constant π (pi). Pi is the ratio of a circle's circumference to its diameter and is approximately 3.14. Archimedes calculated pi to a very close degree by determining the length of a polygon inscribed within a circle and dividing by the diameter. The largest calculation of pi digits was over 1 trillion digits by a Japanese supercomputer in 2002. Pi is involved in formulas relating to areas and volumes of circles, spheres, cylinders, and cones.
Pi day!!! powerpoint
This document discusses Pi Day activities that will take place, including singing Pi Day songs, participating in Pi trivia games and contests, making Pi-themed crafts like bracelets revealing digits of Pi, and learning interesting facts about the number Pi. Students are encouraged to celebrate Pi Day on March 14th (3/14) through interactive games and songs that involve reciting digits of Pi.
Pi Ppt
This document discusses the history and properties of the mathematical constant pi (π). It describes how pi has been calculated and approximated throughout history using different methods, from the ancient Greeks to modern computers. The document also discusses how pi is an irrational number that cannot be expressed as a fraction, and how computing pi to increasing numbers of decimal places has helped test and develop computing technology over time.
My maths ppt
Pi is the ratio of a circle's circumference to its diameter. The document traces the history of pi from ancient Egyptians and Babylonians through Archimedes and the development of calculus. Pi is now known to over 6 billion places due to modern computers. Pi has many applications and is used in formulas by engineers, architects, agriculturists, and other professionals for calculating areas, circumferences, and volumes of circles and spheres.
Pi (π)
This document provides information about pi (π), including:
- Pi is a mathematical constant that is the ratio of a circle's circumference to its diameter. It is an irrational and non-terminating number with a value of approximately 3.14159.
- The history of pi discusses how European mathematicians developed formulas to calculate pi more accurately over time.
- Pi is used in geometric formulas to calculate areas and volumes of shapes like circles, spheres, and cones. Pi day is celebrated on March 14th in honor of the first three digits of pi.
Pi
The document discusses algorithms for calculating the mathematical constant pi. It provides a brief history of pi, including its origins in Greek mathematics and early approximations by various ancient civilizations. Several algorithms are summarized for calculating pi to increasing degrees of precision, including Madhava's series in the 14th century, Leibniz's and Euler's formulas, John Machin's formula, Ramanujan's formula, the Bailey–Borwein–Plouffe formula, continued fractions, and infinite products.
Heron’s formula
I can say this power point will help you to know about "HERON’S FORMULA". You will understand the meaning of 'HERON’S FORMULA'.This power point is best for class 9.
Monish Jeswani.
Thank You!!!!
History of pi
Pi has been approximated for over 4000 years through various methods by ancient cultures. Archimedes was the first to calculate pi by using polygons to find the area between the inscribed and circumscribed shapes, determining pi was between 3 1/7 and 3 10/71. Zu Chongzhi, a 5th century Chinese mathematician, calculated pi to 355/113 through lengthy calculations using a 24,576-gon polygon. The Greek symbol π began being used in the 1700s and was popularized by Euler in 1737.
presentation on pi.pptx
This presentation discusses the mathematical constant Pi (π). It begins by introducing Pi as the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. Pi has been represented by the Greek letter π since the mid-18th century. The document then defines Pi more precisely as the ratio of a circle's circumference to its diameter. It notes that the ancient Greek mathematician Archimedes discovered Pi and was able to approximate it to high precision using polygons. The presentation concludes by discussing the importance of Pi in mathematics, science, and engineering and some historical methods used to calculate Pi more accurately such as measuring circles and using polygons.
A Project on Pi
A beautiful presentation describing the history of pi and its use and application in real life situations. It also covers calculating pi and world records about the number of digits of pi that have been calculated. Hope you enjoy and use it!!
History of pi
This is project made by me on "history of pi". The project is not pictorial, it has only reading matter, please forgive for the same.
What's hot (20)
Similar to Pi (Maths)
Cervical Spine Range of Motion Measurement Utilizing Image Analysis - VISAPP2022
This study developed a system to automatically measure cervical spine range of motion (CRoM) angles from cervical spine X-ray images using deep learning. The system used Mask R-CNN for image segmentation and measured angles between vertebrae similarly to manual methods. An evaluation found the average error was 3.5 degrees with a standard deviation of 2.8 degrees, comparable to measurements by residents. However, accuracy was poorer for the C1/C2 vertebrae. Future work will explore improving segmentation and developing computer-aided diagnosis of cervical issues.
Total station
Total stations are surveying instruments that electronically measure angles and distances to calculate locations of points. They combine an electronic distance meter, theodolite, and microprocessor. Measurements can achieve angular accuracy of 1-20 seconds and linear accuracy of 2-10 mm per km. Total stations are used for topographic surveys, construction layout, and other applications. Proper use requires careful centering, accurate pointing, averaging multiple measurements, and accounting for environmental factors.
Design Description of a Tentacle Based Scanning System
This document describes the design of a tentacle-based 3D scanning device. The scanner uses a camera and two lasers for distance measurement via triangulation. As an object on a turntable rotates, the camera and lasers move up and down via a lead screw to scan the entire object. The scanner is intended to be low-cost and portable for use in scanning small objects up to 15x15x20 cm in size and 500g in weight. It is designed using inexpensive and readily available materials like a polymer composite for rigidity. The main mechanisms are NEMA stepper motors to control the turntable and lead screw for camera/laser movement.
Ct physics/ dental implant courses
This document provides an overview of computed tomography (CT) scanning. It discusses the history and key inventors of CT, including Godfrey Hounsfield and Allan Cormack who were awarded the 1979 Nobel Prize in Physiology or Medicine for developing the CT scanner. The document outlines the basic concepts and components of a CT scanner, including the x-ray tube, detectors, and image reconstruction process. It also describes the different generations of CT scanners and how their designs have evolved over time to provide faster scan times and improved image quality.
EFFECT OF TM AND LOOP LENGTH ON DRAPE CO-EFFICIENT OF SINGLE JERSEY KNITTED F...
These are the days twist plays vital role in the hosiery yarn. The end applications of the knitted fabric are mainly depend upon the TM of Yarn. In this Research work cotton yarn and polyester cotton Blended (65%+35+) yarn used spun with same count of 30 Ne produced on Ring and compact spinning machines. Three TM levees are selected 3.32, 3.66, 3.94, to produce yarn on both spinning system. Three different loop lengths like, 0.27, 0.30 and 0.33 are selected produce single jersey plain knitted fabrics. Gamut of properties are studied with respect to geometrical and drape co-efficient of fabrics. The samples are washed for five cycles.
Effect of tm and loop length on drape co efficient of single jersey knitted f...
This document summarizes research on the effect of twist multiplier (TM) and loop length on the drape coefficient of single jersey knitted fabrics produced from ring and compact spun cotton and polyester-cotton blend yarns. Samples were produced with three TM levels and three loop lengths and tested for geometrical and drape properties both initially and after five wash cycles. Results showed that TM and loop length influence drape coefficient and construction, with TM 3.32 having the most effect for cotton yarns. Drape coefficient values changed more after washing for compact spun yarns compared to ring spun yarns. The research concluded that yarn production method and knitting parameters impact fabric drape properties.
Raida iii /certified fixed orthodontic courses by Indian dental academy
The Indian Dental Academy is the Leader in continuing dental education , training dentists in all aspects of dentistry and offering a wide range of dental certified courses in different formats.
Indian dental academy provides dental crown & Bridge,rotary endodontics,fixed orthodontics,
Dental implants courses.for details pls visit www.indiandentalacademy.com ,or call
0091-9248678078
Raida iii /certified fixed orthodontic courses by Indian dental academy
The Indian Dental Academy is the Leader in continuing dental education , training dentists in all aspects of dentistry and offering a wide range of dental certified courses in different formats.
Indian dental academy provides dental crown & Bridge,rotary endodontics,fixed orthodontics,
Dental implants courses.for details pls visit www.indiandentalacademy.com ,or call
0091-9248678078
Distance Measurement & Chain Surveying
Distance Measurement & Chain Surveying
Contents
• Introduction About Surveying
.
• Primary Division Of Surveying • Classification Of Surveying • Distance Measurement And Chain Surveying • Principle Of Surveying • Types Of Tapes Based On The Materials Used • Erecting And Dropping A Perpendicular • Obstacle In Chain Survey • Types Of Errors • Corrections of Tape • Off –Sets • Ranging • Conclusion . • Homework And Next Lecture . • References.
-Definition of Surveying.
Types of Surveying
1. Plane Surveying
2. Geodetic Survey
3. Cadastral surveying
4. Aerial Surveying
5. Hydro graphic Surveying (Hydro-Survey)
6. Topographical Survey
7. Engineering Survey.
Primary division of Surveying
Reconnaissance.
• This is preliminary survey of the land to be surveyed. It may be either
1-Ground reconnaissance 2- Aerial reconnaissance survey.
Objectives of Reconnaissance
1. To ascertain the possibility of building or constructing route or track through the area.
Classification of Surveying:
1- Classification based on the instruments used:
A. Chain Surveying.
B. Compass Surveying.
C. Theodolite Surveying.
D. Tachometric Surveying .
E. Trigonometric Surveying.
F. Total station and GPS.
G. Photogrammetric and Aerial Surveying.
H. Plan Table .
2- According to the method used:
i. Traversing .
ii. Triangulation .
iii. Tacheometric.
iv. Trigonometric.
3- According to the Purpose of surveying:
i. Engineering survey.
ii. Military survey.
iii. Geological survey .
iv. Topographical survey
Chain and Tape Survey
-Length& Distance Measurements.
-Distance Measurement and Chain Surveying.
• In general there are two methods:
1- Direct methods of measuring lengths
2- Indirect methods of measuring distances.
There are two kinds of measurements used in plane surveying.
*Linear measurements
*Angular measurements
-Instruments used in Chain Surveying.
Types of tapes based on the materials used.
.......
.
.
.
.
.
.
.
.
.
.
Asst. Prof. Salar K.Hussein
Mr. Kamal Y.Abdullah
Asst.Lecturer. Dilveen H. Omar
Erbil Polytechnic University
Technical Engineering College
Civil Engineering Department
Tool makers microscope
The document discusses various types of measuring tools used in tool making and manufacturing, including a tool maker's microscope, straight edge, surface plate, profile projector, optical microscope, scanning electron microscope, transmission electron microscope. It provides details on the measuring principles, applications, advantages, and disadvantages of each tool.
Computed Tomography (ct),CT scan NDT
X-rays were discovered in 1895 by the German physicist Wilhelm Conrad Röntgen,
who earned the Nobel Prize in Physics in 1901. Although their potential applications
in medical imaging diagnosis were clear from the beginning, the implementation of
the first X-ray computed tomography system was made in 1972 by Godfrey Newbold
Hounsfield (Nobel prize winner in 1979 for Physiology and Medicine), who constructed
the prototype of the first medical CT scanner and is considered the father of computed
tomography. CT was introduced into clinical practice into 1971 with a scan of a cystic
frontal lobe tumor on a patient at Atkinson Morley Hospital in Wimbledon (United
Kingdom). After this, CT was immediately welcomed by the medical community and
has often been referred to as the most important invention in radiological diagnosis, since
the discovery of X-rays [1].
The first applications of CT in an industrial context is traced back to the first 1980´s, in the
field of non destructive testing, where small number of slices of the object were visually
inspected. 3D quantitative industrial CT applications appeared in the later 1990s, with
simple volume and distance analysis [2]. Today, thanks to relevant improvements in both
hardware and software, CT has become a powerful and widely used tool among non
destructive techniques, capable of inspecting external and internal structures (without
destroying them) in many industrial applications. Development of more and more stable
X-ray sources and better detectors led to design of more complex CT system, providing
accurate geometrical information with micrometer accuracy. CT is widely used for
geometrical characterization of test objects, material composition determination, density
variation inspection etc. In a relative short time, CT is capable to produce a complete
three-dimensional model and tolerances of the scanned machined parts can be verified.
Because of the growing interest on precision in production engineering and an increasing
demand for quality control and assurance, CT is leading the field of manufacturing
and coordinate metrology. With respect to traditional techniques, CT systems have indisputable advantages: internal and external geometry can be acquired without
destroying the part, with a density of information much higher than common tactile and
optical coordinate measuring. A key parameter for reliability of the measurement process
is the establishment of measuring uncertainty. Since there are many influence parameters
in CT, uncertainty contributors in CT and standards dealing with quantification of CT
have not been completely established yet. The assessment of the uncertainty budget
becomes a challenge for all researchers
micro electro mechnical system
MEMS is a technology that combines mechanical and electrical components on a chip using microfabrication. MEMS devices range in size from 1-100 micrometers and are made through deposition, patterning, and etching processes. They can be used as sensors, actuators, and components in applications like automotive systems, biomedical devices, military technologies, and consumer electronics.
Seminar Presentation on 3D Printing
The document discusses the history and development of 3D printing technology. It began in 1984 with Charles Hull inventing stereolithography. Since then, other technologies like fused deposition modeling and selective laser sintering were introduced. The document defines 3D printing terminology and describes common printing mechanisms like stereolithography, selective laser sintering, and fused deposition modeling. It also covers applications in fields like medicine, jewelry, forensics, and more. Challenges discussed include intellectual property issues and the ability to print dangerous objects.
005 characterization-of-yarn-diameter-measured-on-different
This document summarizes a study that characterized yarn diameter measured using different instruments. Several commercial instruments were used to measure yarn diameter including the Uster tester 4, Lawson Hemphill YAS system, QQM3, and optical microscope. The data obtained from these instruments was analyzed using the D-yarn program which found that yarn diameter often has a bimodal distribution, in contrast to Uster tester results that assume a normal distribution. Further analysis of test data from one yarn found significant differences between the Uster histogram and results from the D-yarn program, which fitted the data to a two Gaussian distribution revealing the bimodal nature of the yarn diameter.
Microarray full detail
The document discusses DNA microarrays, including their applications, history, major steps, methods of construction, and technical issues. DNA microarrays allow analysis of gene expression across thousands of genes simultaneously. They have been used since the 1990s and are constructed by attaching DNA probes to a solid surface in a high-density array. Two main types are cDNA-based microarrays using amplified cDNA and oligonucleotide-based arrays like Affymetrix GeneChips containing short DNA sequences.
fingerprint technology
This document provides an overview of fingerprint recognition technology (FRT). It begins with definitions of biometrics and FRT. It then discusses the history of fingerprint analysis and why fingerprints are used for identification. The document describes different fingerprint sensing technologies including optical, silicon-based capacitive, ultrasound, thermal, and piezoelectric sensors. It also covers fingerprint feature extraction, matching, storage and compression, challenges of variability, and applications of FRT. The presentation concludes with emerging 3D fingerprint technologies and references for further information.
International conference textiles and fashion
This document summarizes research on characterizing yarn diameter using different measurement techniques. Several commercial instruments and laboratory methods are described that use optical, capacitive, or combined principles to measure yarn diameter and irregularity. Data from tests on various yarns using Uster Tester 4, QQM-3, and Lawson-Hemphill systems were analyzed using a MATLAB program. The program revealed the yarn diameter data was better characterized by a bimodal rather than normal distribution, highlighting limitations of some commercial instrument analyses. Further analysis of the bimodal data distribution provided more detailed information about yarn diameter characteristics.
automatic detection of pulmonary nodules in lung ct images
The document discusses lung cancer detection using CT scans and pulmonary nodule detection systems. It describes how CT scans are used to detect lung nodules early and increase survival rates. It then discusses the challenges of evaluating large CT data sets and the use of pulmonary nodule detection CAD systems to assist radiologists. The document goes on to describe a proposed CAD system that includes lung segmentation, nodule candidate detection using multi-thresholding and feature extraction, and a genetic programming based classifier to analyze features and detect nodules. Experimental results on a publicly available lung image database show the system achieved over 80% accuracy on test data for nodule detection.
3 d facial imaging
The Indian Dental Academy is the Leader in continuing dental education , training dentists in all aspects of dentistry and
offering a wide range of dental certified courses in different formats.for more details please visit
www.indiandentalacademy.com
Optimal fuzzy rule based pulmonary nodule detection
The document describes a lung cancer detection system that uses CT scans. It discusses (1) segmenting the lungs from CT images using adaptive thresholding and connected component analysis, (2) detecting nodule candidate regions using multi-thresholding and rule-based pruning, and (3) optimizing the rule-based pruning using a genetic algorithm trained fuzzy inference system to reduce false positives while maintaining high sensitivity. Experimental results on a publicly available lung image database show the optimized fuzzy system achieved better performance than a conventional rule-based approach.
Similar to Pi (Maths) (20)
Cervical Spine Range of Motion Measurement Utilizing Image Analysis - VISAPP2022
Cervical Spine Range of Motion Measurement Utilizing Image Analysis - VISAPP2022
Design Description of a Tentacle Based Scanning System
Design Description of a Tentacle Based Scanning System
EFFECT OF TM AND LOOP LENGTH ON DRAPE CO-EFFICIENT OF SINGLE JERSEY KNITTED F...
EFFECT OF TM AND LOOP LENGTH ON DRAPE CO-EFFICIENT OF SINGLE JERSEY KNITTED F...
Effect of tm and loop length on drape co efficient of single jersey knitted f...
Effect of tm and loop length on drape co efficient of single jersey knitted f...
Raida iii /certified fixed orthodontic courses by Indian dental academy
Raida iii /certified fixed orthodontic courses by Indian dental academy
Raida iii /certified fixed orthodontic courses by Indian dental academy
Raida iii /certified fixed orthodontic courses by Indian dental academy
005 characterization-of-yarn-diameter-measured-on-different
005 characterization-of-yarn-diameter-measured-on-different
automatic detection of pulmonary nodules in lung ct images
automatic detection of pulmonary nodules in lung ct images
Optimal fuzzy rule based pulmonary nodule detection
Optimal fuzzy rule based pulmonary nodule detection
More from Akshit Setia
Lift ware IT Project
About liftware,it's uses ,benefits
how does it work ,cost ,reasons for launching ,description ,patient group ,target market ,liftware ,scope ,anupam pathak ,lift labs ,tackling tremors of parkinson's disease or general
Corporate social responsibility
Corporate social responsibility
it's 4 part model ,benefits and case study for both good and poor csr
Employee engagement
Two primary factors that drive employee engagement are engagement with the organization and engagement with managers. TCS conducted a pulse survey to understand why employee satisfaction and engagement were dropping as the company grew. This revealed that employees felt their voices weren't being heard. TCS then developed initiatives targeted to each department based on employee feedback to improve engagement. Studies of employee engagement at TCS globally focused on Australia and New Zealand found providing career opportunities, improving work environment, and enriching employee experience helped both employees and the company grow.
Britannia
Britannia Industries Limited is an Indian food products corporation established in 1892 in Kolkata. It is now based in Bangalore and has a 38% market share. Britannia's principal activity is manufacturing and selling biscuits, bread, rusk, cakes, and dairy products. It has annual revenue of $1.2 billion and profit of $20 million. Britannia's core values include leadership, ownership, passion for learning, and respect. It is evaluating entry into new product categories like chocolate and snacks to consolidate its position as a leading food company in India.
Save environment
The document discusses various methods for protecting the environment and conserving natural resources. It defines environment as the biotic and abiotic factors surrounding organisms that influence their survival. It also discusses that due to population growth and technology, the environment is being degraded. Some of the key methods mentioned to save the environment include minimizing energy consumption, producing and using sustainable green energy, conserving water, reducing waste through recycling and reuse, planting trees, protesting deforestation, and encouraging others to also adopt practices that protect the environment.
Endangered Animals
An animal is considered endangered when there are very few left such that it risks going extinct. There are currently over 8,000 endangered animal species worldwide. The main reasons animals become endangered include destruction of habitat by human development; pollution of oceans, air and water; overhunting for meat, fur and other products; and the introduction of exotic species that prey on or infect native species.
Polio
Polio is an acute viral disease spread through contaminated food, water, or contact with the feces of an infected person. It can cause paralysis and affect breathing or be deadly in rare cases. The poliovirus attacks the nervous system and can cause total paralysis in some cases by destroying nerves that control muscles. Prevention efforts include worldwide immunization programs sponsored by WHO to provide free polio vaccines and eliminate the disease globally.
Industrialization
Industrialization plays a major role in the economic development of underdeveloped countries like India by providing goods, services, and infrastructure development. It raises income levels and drives structural changes in economies by shifting the share of sectors from agriculture to industry. Industrialization is also needed to meet demand for manufactured goods, overcome declining terms of trade for primary goods, and generate employment to absorb surplus labor in developing countries with large populations and rapid growth. However, industrialization also causes pollution that harms the environment, global climate, and living things through air, water, and soil contamination.
The seven ages
William Shakespeare (1564-1616) was an English poet and playwright considered the greatest writer in the English language. He wrote 38 plays, 154 sonnets, and several other poems between 1589-1613. His plays have been translated into every major language and are frequently performed worldwide. Shakespeare's "Seven Ages of Man" speech from As You Like It describes the seven phases of a man's life: infant, whining schoolboy, lover, soldier, justice, pantaloon, and second childishness of old age. It portrays life as a stage where all people play many roles from youth to death.
More from Akshit Setia (9)
Recently uploaded
How to Manage Your Lost Opportunities in Odoo 17 CRM
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar KanvariaChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxMohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
How to Add Chatter in the odoo 17 ERP Module
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
BBR 2024 Summer Sessions Interview Training
Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams
How to Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
PCOS corelations and management through Ayurveda.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
The Diamonds of 2023-2024 in the IGRA collection
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
Recently uploaded (20)
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
Pi (Maths)
- 6. Approximate value • Fractions: Approximate fractions include (in order of increasing accuracy) 22/7, 333/106, 355/11 3, 52163/16604, and 103993/33102. • Decimal: The first 100 decimal digits are 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 ....
- 7. • The calculation of π was revolutionized by the development of infinite series techniques in the 16th and 17th centuries. An infinite series is the sum of the terms of an infinite sequence. Infinite series allowed mathematicians to compute π with much greater precision than Archimedes and others who used geometrical techniques.
- 9. 1) Electricalengineers used pito solve problems for electrical applications 2) Statisticiansuse pi to track population dynamics 3) Medicinebenefitsfrom piwhen studying thestructure of the eye . 4) Biochemists see pi whentrying to understand the structure/function of DNA 5) Clockdesigners use pi whendesigningpendulumsfor clocks 6) Aircraft designers use it to calculate areas of the skin of theaircraft
- 11. More precision becomes available • Pi was calculated to 2000 places with the use of a computer in 1949. • In this calculation, and all calculations following it, the number of 7s does not differ significantly from its expectation. • The record number of decimal places for pi calculated in 1999 was 206,158,430,000. However, this record has already been broken.
- 12. TheNotationof pi • The first to use the symbol π with its current meaning was William Jones in 1706. • Euler adopted the symbol in 1737 and it soon became a standard. William Jones Leonhard Euler