UNDERSTANDING LINEAR DIFFERENTIAL EQUATIONS.pptx
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Isaac newton
Sir Isaac Newton was an influential English scientist in the late 1600s. He developed calculus and described universal gravitation and the laws of motion, which dominated scientific views for centuries. Newton invented calculus to solve problems in physics involving instantaneous rates of change. He and Gottfried Leibniz are credited with developing calculus independently and establishing its modern foundations and applications.
History of Calculus
Calculus is a branch of mathematics dealing with continuous change and rates of change. In the 17th century, both Isaac Newton and Gottfried Wilhelm Leibniz independently developed calculus. While Newton developed many of its theorems and applications earlier, Leibniz is credited with inventing calculus. Calculus has since become essential in fields like physics, chemistry and biology for solving problems involving instantaneous rates of change and accumulation over infinite components.
History Of Calculas
This document provides a brief history of calculus, beginning with its origins in ancient civilizations using methods like infinitesimals to calculate areas and volumes. It discusses early contributors like Archimedes and Islamic mathematicians developing early concepts of integration and derivatives. Newton and Leibniz are credited with developing calculus more fully in the late 1600s through their work with limits, derivatives, integrals, and infinite sums. Their independent work led to controversy over credit until it was established they both made important contributions. Since then, mathematicians have worked to formalize calculus and further develop its concepts and applications.
The search for certainty
1) In the 19th century, mathematics underwent significant changes with a new emphasis on rigor, structure, and abstract concepts.
2) This included the development of non-Euclidean geometry which showed that Euclid's parallel postulate is independent of the other postulates of geometry.
3) Algebra evolved from a focus on symbols and arithmetic to studying mathematical structures in more abstract ways, such as in Boolean and quaternion algebras.
Maths
Sir Isaac Newton was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian. He developed the principles of modern physics, including mechanics and universal gravitation. As a mathematician, Newton invented integral and differential calculus and made important contributions to mathematics. He published his seminal work Philosophiae Naturalis Principia Mathematica in 1687, laying out his laws of motion and universal gravitation. Newton died in 1727 and was buried in Westminster Abbey in recognition of his achievements.
History of Maths
Mathematics has evolved from simple counting and measurement used by early humans to the complex discipline it is today. Key developments include the establishment of number systems and algebra in ancient Mesopotamia and Egypt, advances in geometry and logic by ancient Greeks, transmission of knowledge to other ancient cultures like China and India, and the establishment of concepts like calculus and logarithms in Europe during the 16th-18th centuries. The 19th-20th centuries saw unprecedented growth in mathematical concepts and ideas through the work of mathematicians around the world, including Indians like Ramanujan who made seminal contributions despite facing disadvantages.
Isaac newton
Sir Isaac Newton was an influential English scientist in the late 1600s. He developed calculus and described universal gravitation and the three laws of motion. Newton invented the mathematical techniques of calculus, which helped unlock many scientific discoveries and advanced physics and engineering. He also made important contributions to optics and alchemy.
History of Mathematics - Early to Present Period
If you happen to like this powerpoint, you may contact me at flippedchannel@gmail.com
I offer some educational services like:
-powerpoint presentation maker
-grammarian
-content creator
-layout designer
Subscribe to our online platforms:
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Isaac newton
Sir Isaac Newton was an influential English scientist in the late 1600s. He developed calculus and described universal gravitation and the laws of motion, which dominated scientific views for centuries. Newton invented calculus to solve problems in physics involving instantaneous rates of change. He and Gottfried Leibniz are credited with developing calculus independently and establishing its modern foundations and applications.
History of Calculus
Calculus is a branch of mathematics dealing with continuous change and rates of change. In the 17th century, both Isaac Newton and Gottfried Wilhelm Leibniz independently developed calculus. While Newton developed many of its theorems and applications earlier, Leibniz is credited with inventing calculus. Calculus has since become essential in fields like physics, chemistry and biology for solving problems involving instantaneous rates of change and accumulation over infinite components.
History Of Calculas
This document provides a brief history of calculus, beginning with its origins in ancient civilizations using methods like infinitesimals to calculate areas and volumes. It discusses early contributors like Archimedes and Islamic mathematicians developing early concepts of integration and derivatives. Newton and Leibniz are credited with developing calculus more fully in the late 1600s through their work with limits, derivatives, integrals, and infinite sums. Their independent work led to controversy over credit until it was established they both made important contributions. Since then, mathematicians have worked to formalize calculus and further develop its concepts and applications.
The search for certainty
1) In the 19th century, mathematics underwent significant changes with a new emphasis on rigor, structure, and abstract concepts.
2) This included the development of non-Euclidean geometry which showed that Euclid's parallel postulate is independent of the other postulates of geometry.
3) Algebra evolved from a focus on symbols and arithmetic to studying mathematical structures in more abstract ways, such as in Boolean and quaternion algebras.
Maths
Sir Isaac Newton was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian. He developed the principles of modern physics, including mechanics and universal gravitation. As a mathematician, Newton invented integral and differential calculus and made important contributions to mathematics. He published his seminal work Philosophiae Naturalis Principia Mathematica in 1687, laying out his laws of motion and universal gravitation. Newton died in 1727 and was buried in Westminster Abbey in recognition of his achievements.
History of Maths
Mathematics has evolved from simple counting and measurement used by early humans to the complex discipline it is today. Key developments include the establishment of number systems and algebra in ancient Mesopotamia and Egypt, advances in geometry and logic by ancient Greeks, transmission of knowledge to other ancient cultures like China and India, and the establishment of concepts like calculus and logarithms in Europe during the 16th-18th centuries. The 19th-20th centuries saw unprecedented growth in mathematical concepts and ideas through the work of mathematicians around the world, including Indians like Ramanujan who made seminal contributions despite facing disadvantages.
Isaac newton
Sir Isaac Newton was an influential English scientist in the late 1600s. He developed calculus and described universal gravitation and the three laws of motion. Newton invented the mathematical techniques of calculus, which helped unlock many scientific discoveries and advanced physics and engineering. He also made important contributions to optics and alchemy.
History of Mathematics - Early to Present Period
If you happen to like this powerpoint, you may contact me at flippedchannel@gmail.com
I offer some educational services like:
-powerpoint presentation maker
-grammarian
-content creator
-layout designer
Subscribe to our online platforms:
FlippED Channel (Youtube)
http://bit.ly/FlippEDChannel
LET in the NET (facebook)
http://bit.ly/LETndNET
Science and contribution of mathematics in its development
Mathematics is the science of logical reasoning that has its development linked to research, interest in discovering the new and investigate highly complex situations. The escalation of Mathematics began in ancient times when it was aroused the interest by the calculations and numbers according to the need of man to relate the natural events to their daily lives. Today, Mathematics is the most important science of the modern world because it is present in all scientific areas.
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The document discusses mathematics and science in the 17th and 18th centuries. Major advances were made in numerical calculation, symbolic algebra, analytic geometry, and calculus, expanding the fields of mathematics. Many important mathematicians and scientists are mentioned from this era, including Galileo, Kepler, Newton, Hooke, Boyle, Fermat, and others. Their contributions ranged from laws of planetary motion and gravity to calculus, microscopy, and discoveries about gases and cells that advanced both mathematics and science.
18th CENTURY MATHEMATICS
This document summarizes 18th century mathematics. Some key developments include:
- Mathematics became more modern and developed rapidly as it was introduced in schools. Many new mathematicians emerged.
- Fields like calculus, physics, astronomy and engineering advanced due to applying Newton and Leibniz's calculus ideas.
- French mathematicians dominated the era, though Euler and Bernoulli were also influential. Major figures included Lagrange, Laplace and Legendre.
- Lagrange, Laplace and Legendre made important contributions to areas like calculus, differential equations, probability, and number theory. The Bernoullis also significantly advanced calculus. Euler published extensively across many areas of mathematics.
Línea del tiempo
This document presents a timeline that outlines the key problems in the foundations of mathematics throughout history. It begins in ancient Greece where problems arose regarding the existence of irrational numbers. In the 17th-18th centuries, calculus and analytic geometry developed rapidly but lacked rigor. In the 19th century, mathematicians like Gauss formalized analysis and constructed the real numbers. In the 20th century, paradoxes emerged which led to different philosophical schools like logicism, intuitionism and formalism to interpret and resolve the paradoxes.
Scientific revolution and age of reason
The document provides information about a lesson on the Scientific Revolution and the Age of Reason, including:
1) Key figures of the Scientific Revolution such as Copernicus, Kepler, Galileo, Newton, and Harvey and their accomplishments that changed views of the world.
2) The significance of the Scientific Revolution in emphasizing reason and systematic observation of nature.
3) Developments during the Age of Reason including new forms of art, literature, music, and technologies that improved life and stimulated trade.
scientific_discoveries_and_invention_fro.pptx
The document summarizes major scientific discoveries and innovations from the Renaissance to the Enlightenment period. It discusses advances in astronomy (Copernicus, Kepler, Galileo, Newton), physics (Gilbert, Newton, Da Vinci, Torricelli, Hooke), mathematics (Vieta, Napier, Stevin, Descartes, Newton), chemistry (Paracelsus, Boyle), biology (Vesalius, Harvey, Malpighi, Borelli, Morgagni), agriculture (Tull, Townshend), and other areas like inventions, transport, communication, art, music and architecture. The Scientific Revolution laid the foundation for modern science and influenced all aspects of life, eventually leading to the Industrial Revolution.
History and Application of Calculus Qalab Abbas 04.pdf
Calculus has its origins in ancient Greece, but it was developed as a systematic mathematical discipline in the 17th century independently by Isaac Newton and Gottfried Leibniz. Over subsequent centuries, mathematicians further developed calculus's theoretical foundations and applications. It is now extensively used across many fields, including physics, engineering, economics, biology, and computer science, to model systems involving rates of change.
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Qin Jiushao was a Chinese mathematician who lived from around 1202-1261. He introduced the concept of zero to Chinese mathematics and was the first to solve high order numerical equations, including a 4th order equation and a 10th order equation. He also developed methods for solving these types of equations that were similar to later European methods like Horner's method. Chinese mathematics developed advanced concepts independently like large numbers, decimals, place value, algebra, geometry and trigonometry as early as the 11th century BC. Key mathematical works and periods of development in China include the I Ching from 1050-256 BC and major figures from the Song and Yuan dynasties. However, Chinese mathematics declined after the
CHİNESE MATHEMATCS
Qin Jiushao was an important Chinese mathematician who introduced the use of zero in mathematics. He developed methods for solving high-order numerical equations, including a 4th order equation. Mathematics emerged independently in China by the 11th century BC and the Chinese made contributions to large and negative numbers, decimals, place value, algebra, geometry, and trigonometry. During the Song and Yuan dynasties, mathematicians like Yang Hui, Qin Jiushao, Li Zhi, and Zhu Shijie developed methods for solving simultaneous, quadratic, cubic, and quartic equations hundreds of years before Europeans.
CHINESE MATHEMATICS HOMEWORK
Qin Jiushao was an important Chinese mathematician who introduced the use of zero in mathematics. He developed methods for solving high-order numerical equations, including a 4th order equation. Mathematics emerged independently in China by the 11th century BC and the Chinese made contributions to large and negative numbers, decimals, place value, algebra, geometry, and trigonometry. During the Song and Yuan dynasties, mathematicians like Yang Hui, Qin Jiushao, Li Zhi, and Zhu Shijie developed methods for solving simultaneous, quadratic, cubic, and quartic equations hundreds of years before Europeans.
CHINESE MATHEMATICS HOMEWORK
Qin Jiushao was a Chinese mathematician who made important contributions in the 13th century, including introducing the zero symbol into Chinese mathematics and developing methods for solving high-order numerical equations. Mathematics in China had emerged independently by the 11th century BC and the Chinese made many advances including large and negative numbers, decimals, place value, algebra, geometry, and trigonometry. However, Chinese mathematics declined during the Ming Dynasty as focus shifted to other areas and the abacus replaced counting rods.
The history of calculus
Calculus is a branch of mathematics used in science and engineering that builds on algebra and geometry. It was developed independently in the late 17th century by Isaac Newton and Gottfried Leibniz. While Newton claimed priority, Leibniz was the first to publish and is credited with developing much of the formalism and notation still used today. Calculus has its roots in ancient ideas for calculating areas and volumes but was placed on a rigorous logical foundation by later mathematicians. It continues to be generalized and applied to new domains.
Its all about history of math
The document provides a summary of the history of Greek mathematics from Thales in the 6th century BC to the collapse of the University of Alexandria in the 5th century AD. It discusses how Thales founded the Ionian school of mathematics and influenced Pythagoras. It then outlines the development of Greek mathematics through figures like Euclid and Archimedes, and the establishment and destruction of the University of Alexandria, which marked the end of the peak of Greek mathematical achievements.
History of Calculus
Calculus was developed independently and nearly simultaneously by Isaac Newton and Gottfried Leibniz in the late 1600s. They both developed foundational concepts like derivatives and integrals to solve problems in physics and geometry. Earlier mathematicians like Archimedes, Ibn al-Haytham, and Cavalieri developed precursor ideas and methods for calculating volumes, areas, and rates of change. Newton and Leibniz formalized these ideas into a system of calculus, though there was controversy over who originated its concepts. Today it is recognized that they independently arrived at the same conclusions around the same time.
Contribution of mathematicians by Pratima Nayak
This document provides an overview of the history of mathematics, beginning with ancient civilizations like Babylonia, Egypt, and Greece. It discusses important mathematicians and their contributions, including Pythagoras, Euclid, Archimedes, Brahmagupta, Fibonacci, Descartes, Newton, Euler, Gauss, and Ramanujan. Key advances and discoveries are highlighted, such as the development of algebra, calculus, complex numbers, and non-Euclidean geometry. The document traces the evolution of mathematics from ancient times through the modern era.
Scientists
- Johannes Kepler established that planets orbit the sun in ellipses rather than perfect circles, with the sun located at one focus. Galileo Galilei provided further evidence for the heliocentric model through his astronomical observations with one of the first telescopes.
- Isaac Newton later explained the motions of the planets through his universal law of gravitation and laws of motion. This established a basis for further exploration of celestial mechanics by astronomers like Pierre-Simon Laplace.
- Major 18th century contributors to celestial mechanics included Leonhard Euler, Joseph-Louis Lagrange, and Pierre-Simon Laplace, who further developed and applied Newton's law of gravitation to better understand planetary motions.
CHINESE MATHEMATICS HOMEWORK
1. Chinese mathematics emerged independently by the 11th century BC and they developed concepts like large and negative numbers, decimals, place value, algebra, geometry, and trigonometry.
2. Qin Jiushao was the first to introduce the zero symbol into Chinese mathematics in the 13th century. He also solved high order numerical equations.
3. Major developments in Chinese mathematics included work in algebra, geometry, trigonometry, and calculus by mathematicians like Liu Hui in the 3rd century and Yang Hui, Qin Jiushao, Zhu Shijie, and Li Zhi in the 12th-13th centuries who used early forms of algorithms and methods for solving equations.
Null Bangalore | Pentesters Approach to AWS IAM
#Abstract:
- Learn more about the real-world methods for auditing AWS IAM (Identity and Access Management) as a pentester. So let us proceed with a brief discussion of IAM as well as some typical misconfigurations and their potential exploits in order to reinforce the understanding of IAM security best practices.
- Gain actionable insights into AWS IAM policies and roles, using hands on approach.
#Prerequisites:
- Basic understanding of AWS services and architecture
- Familiarity with cloud security concepts
- Experience using the AWS Management Console or AWS CLI.
- For hands on lab create account on [killercoda.com](https://killercoda.com/cloudsecurity-scenario/)
# Scenario Covered:
- Basics of IAM in AWS
- Implementing IAM Policies with Least Privilege to Manage S3 Bucket
- Objective: Create an S3 bucket with least privilege IAM policy and validate access.
- Steps:
- Create S3 bucket.
- Attach least privilege policy to IAM user.
- Validate access.
- Exploiting IAM PassRole Misconfiguration
-Allows a user to pass a specific IAM role to an AWS service (ec2), typically used for service access delegation. Then exploit PassRole Misconfiguration granting unauthorized access to sensitive resources.
- Objective: Demonstrate how a PassRole misconfiguration can grant unauthorized access.
- Steps:
- Allow user to pass IAM role to EC2.
- Exploit misconfiguration for unauthorized access.
- Access sensitive resources.
- Exploiting IAM AssumeRole Misconfiguration with Overly Permissive Role
- An overly permissive IAM role configuration can lead to privilege escalation by creating a role with administrative privileges and allow a user to assume this role.
- Objective: Show how overly permissive IAM roles can lead to privilege escalation.
- Steps:
- Create role with administrative privileges.
- Allow user to assume the role.
- Perform administrative actions.
- Differentiation between PassRole vs AssumeRole
Try at [killercoda.com](https://killercoda.com/cloudsecurity-scenario/)
Comparative analysis between traditional aquaponics and reconstructed aquapon...
The aquaponic system of planting is a method that does not require soil usage. It is a method that only needs water, fish, lava rocks (a substitute for soil), and plants. Aquaponic systems are sustainable and environmentally friendly. Its use not only helps to plant in small spaces but also helps reduce artificial chemical use and minimizes excess water use, as aquaponics consumes 90% less water than soil-based gardening. The study applied a descriptive and experimental design to assess and compare conventional and reconstructed aquaponic methods for reproducing tomatoes. The researchers created an observation checklist to determine the significant factors of the study. The study aims to determine the significant difference between traditional aquaponics and reconstructed aquaponics systems propagating tomatoes in terms of height, weight, girth, and number of fruits. The reconstructed aquaponics system’s higher growth yield results in a much more nourished crop than the traditional aquaponics system. It is superior in its number of fruits, height, weight, and girth measurement. Moreover, the reconstructed aquaponics system is proven to eliminate all the hindrances present in the traditional aquaponics system, which are overcrowding of fish, algae growth, pest problems, contaminated water, and dead fish.
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Semelhante a UNDERSTANDING LINEAR DIFFERENTIAL EQUATIONS.pptx
Science and contribution of mathematics in its development
Mathematics is the science of logical reasoning that has its development linked to research, interest in discovering the new and investigate highly complex situations. The escalation of Mathematics began in ancient times when it was aroused the interest by the calculations and numbers according to the need of man to relate the natural events to their daily lives. Today, Mathematics is the most important science of the modern world because it is present in all scientific areas.
Mathematics and science 17th and 18th Century
The document discusses mathematics and science in the 17th and 18th centuries. Major advances were made in numerical calculation, symbolic algebra, analytic geometry, and calculus, expanding the fields of mathematics. Many important mathematicians and scientists are mentioned from this era, including Galileo, Kepler, Newton, Hooke, Boyle, Fermat, and others. Their contributions ranged from laws of planetary motion and gravity to calculus, microscopy, and discoveries about gases and cells that advanced both mathematics and science.
18th CENTURY MATHEMATICS
This document summarizes 18th century mathematics. Some key developments include:
- Mathematics became more modern and developed rapidly as it was introduced in schools. Many new mathematicians emerged.
- Fields like calculus, physics, astronomy and engineering advanced due to applying Newton and Leibniz's calculus ideas.
- French mathematicians dominated the era, though Euler and Bernoulli were also influential. Major figures included Lagrange, Laplace and Legendre.
- Lagrange, Laplace and Legendre made important contributions to areas like calculus, differential equations, probability, and number theory. The Bernoullis also significantly advanced calculus. Euler published extensively across many areas of mathematics.
Línea del tiempo
This document presents a timeline that outlines the key problems in the foundations of mathematics throughout history. It begins in ancient Greece where problems arose regarding the existence of irrational numbers. In the 17th-18th centuries, calculus and analytic geometry developed rapidly but lacked rigor. In the 19th century, mathematicians like Gauss formalized analysis and constructed the real numbers. In the 20th century, paradoxes emerged which led to different philosophical schools like logicism, intuitionism and formalism to interpret and resolve the paradoxes.
Scientific revolution and age of reason
The document provides information about a lesson on the Scientific Revolution and the Age of Reason, including:
1) Key figures of the Scientific Revolution such as Copernicus, Kepler, Galileo, Newton, and Harvey and their accomplishments that changed views of the world.
2) The significance of the Scientific Revolution in emphasizing reason and systematic observation of nature.
3) Developments during the Age of Reason including new forms of art, literature, music, and technologies that improved life and stimulated trade.
scientific_discoveries_and_invention_fro.pptx
The document summarizes major scientific discoveries and innovations from the Renaissance to the Enlightenment period. It discusses advances in astronomy (Copernicus, Kepler, Galileo, Newton), physics (Gilbert, Newton, Da Vinci, Torricelli, Hooke), mathematics (Vieta, Napier, Stevin, Descartes, Newton), chemistry (Paracelsus, Boyle), biology (Vesalius, Harvey, Malpighi, Borelli, Morgagni), agriculture (Tull, Townshend), and other areas like inventions, transport, communication, art, music and architecture. The Scientific Revolution laid the foundation for modern science and influenced all aspects of life, eventually leading to the Industrial Revolution.
History and Application of Calculus Qalab Abbas 04.pdf
Calculus has its origins in ancient Greece, but it was developed as a systematic mathematical discipline in the 17th century independently by Isaac Newton and Gottfried Leibniz. Over subsequent centuries, mathematicians further developed calculus's theoretical foundations and applications. It is now extensively used across many fields, including physics, engineering, economics, biology, and computer science, to model systems involving rates of change.
İ
Qin Jiushao was a Chinese mathematician who lived from around 1202-1261. He introduced the concept of zero to Chinese mathematics and was the first to solve high order numerical equations, including a 4th order equation and a 10th order equation. He also developed methods for solving these types of equations that were similar to later European methods like Horner's method. Chinese mathematics developed advanced concepts independently like large numbers, decimals, place value, algebra, geometry and trigonometry as early as the 11th century BC. Key mathematical works and periods of development in China include the I Ching from 1050-256 BC and major figures from the Song and Yuan dynasties. However, Chinese mathematics declined after the
CHİNESE MATHEMATCS
Qin Jiushao was an important Chinese mathematician who introduced the use of zero in mathematics. He developed methods for solving high-order numerical equations, including a 4th order equation. Mathematics emerged independently in China by the 11th century BC and the Chinese made contributions to large and negative numbers, decimals, place value, algebra, geometry, and trigonometry. During the Song and Yuan dynasties, mathematicians like Yang Hui, Qin Jiushao, Li Zhi, and Zhu Shijie developed methods for solving simultaneous, quadratic, cubic, and quartic equations hundreds of years before Europeans.
CHINESE MATHEMATICS HOMEWORK
Qin Jiushao was an important Chinese mathematician who introduced the use of zero in mathematics. He developed methods for solving high-order numerical equations, including a 4th order equation. Mathematics emerged independently in China by the 11th century BC and the Chinese made contributions to large and negative numbers, decimals, place value, algebra, geometry, and trigonometry. During the Song and Yuan dynasties, mathematicians like Yang Hui, Qin Jiushao, Li Zhi, and Zhu Shijie developed methods for solving simultaneous, quadratic, cubic, and quartic equations hundreds of years before Europeans.
CHINESE MATHEMATICS HOMEWORK
Qin Jiushao was a Chinese mathematician who made important contributions in the 13th century, including introducing the zero symbol into Chinese mathematics and developing methods for solving high-order numerical equations. Mathematics in China had emerged independently by the 11th century BC and the Chinese made many advances including large and negative numbers, decimals, place value, algebra, geometry, and trigonometry. However, Chinese mathematics declined during the Ming Dynasty as focus shifted to other areas and the abacus replaced counting rods.
The history of calculus
Calculus is a branch of mathematics used in science and engineering that builds on algebra and geometry. It was developed independently in the late 17th century by Isaac Newton and Gottfried Leibniz. While Newton claimed priority, Leibniz was the first to publish and is credited with developing much of the formalism and notation still used today. Calculus has its roots in ancient ideas for calculating areas and volumes but was placed on a rigorous logical foundation by later mathematicians. It continues to be generalized and applied to new domains.
Its all about history of math
The document provides a summary of the history of Greek mathematics from Thales in the 6th century BC to the collapse of the University of Alexandria in the 5th century AD. It discusses how Thales founded the Ionian school of mathematics and influenced Pythagoras. It then outlines the development of Greek mathematics through figures like Euclid and Archimedes, and the establishment and destruction of the University of Alexandria, which marked the end of the peak of Greek mathematical achievements.
History of Calculus
Calculus was developed independently and nearly simultaneously by Isaac Newton and Gottfried Leibniz in the late 1600s. They both developed foundational concepts like derivatives and integrals to solve problems in physics and geometry. Earlier mathematicians like Archimedes, Ibn al-Haytham, and Cavalieri developed precursor ideas and methods for calculating volumes, areas, and rates of change. Newton and Leibniz formalized these ideas into a system of calculus, though there was controversy over who originated its concepts. Today it is recognized that they independently arrived at the same conclusions around the same time.
Contribution of mathematicians by Pratima Nayak
This document provides an overview of the history of mathematics, beginning with ancient civilizations like Babylonia, Egypt, and Greece. It discusses important mathematicians and their contributions, including Pythagoras, Euclid, Archimedes, Brahmagupta, Fibonacci, Descartes, Newton, Euler, Gauss, and Ramanujan. Key advances and discoveries are highlighted, such as the development of algebra, calculus, complex numbers, and non-Euclidean geometry. The document traces the evolution of mathematics from ancient times through the modern era.
Scientists
- Johannes Kepler established that planets orbit the sun in ellipses rather than perfect circles, with the sun located at one focus. Galileo Galilei provided further evidence for the heliocentric model through his astronomical observations with one of the first telescopes.
- Isaac Newton later explained the motions of the planets through his universal law of gravitation and laws of motion. This established a basis for further exploration of celestial mechanics by astronomers like Pierre-Simon Laplace.
- Major 18th century contributors to celestial mechanics included Leonhard Euler, Joseph-Louis Lagrange, and Pierre-Simon Laplace, who further developed and applied Newton's law of gravitation to better understand planetary motions.
CHINESE MATHEMATICS HOMEWORK
1. Chinese mathematics emerged independently by the 11th century BC and they developed concepts like large and negative numbers, decimals, place value, algebra, geometry, and trigonometry.
2. Qin Jiushao was the first to introduce the zero symbol into Chinese mathematics in the 13th century. He also solved high order numerical equations.
3. Major developments in Chinese mathematics included work in algebra, geometry, trigonometry, and calculus by mathematicians like Liu Hui in the 3rd century and Yang Hui, Qin Jiushao, Zhu Shijie, and Li Zhi in the 12th-13th centuries who used early forms of algorithms and methods for solving equations.
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Null Bangalore | Pentesters Approach to AWS IAM
#Abstract:
- Learn more about the real-world methods for auditing AWS IAM (Identity and Access Management) as a pentester. So let us proceed with a brief discussion of IAM as well as some typical misconfigurations and their potential exploits in order to reinforce the understanding of IAM security best practices.
- Gain actionable insights into AWS IAM policies and roles, using hands on approach.
#Prerequisites:
- Basic understanding of AWS services and architecture
- Familiarity with cloud security concepts
- Experience using the AWS Management Console or AWS CLI.
- For hands on lab create account on [killercoda.com](https://killercoda.com/cloudsecurity-scenario/)
# Scenario Covered:
- Basics of IAM in AWS
- Implementing IAM Policies with Least Privilege to Manage S3 Bucket
- Objective: Create an S3 bucket with least privilege IAM policy and validate access.
- Steps:
- Create S3 bucket.
- Attach least privilege policy to IAM user.
- Validate access.
- Exploiting IAM PassRole Misconfiguration
-Allows a user to pass a specific IAM role to an AWS service (ec2), typically used for service access delegation. Then exploit PassRole Misconfiguration granting unauthorized access to sensitive resources.
- Objective: Demonstrate how a PassRole misconfiguration can grant unauthorized access.
- Steps:
- Allow user to pass IAM role to EC2.
- Exploit misconfiguration for unauthorized access.
- Access sensitive resources.
- Exploiting IAM AssumeRole Misconfiguration with Overly Permissive Role
- An overly permissive IAM role configuration can lead to privilege escalation by creating a role with administrative privileges and allow a user to assume this role.
- Objective: Show how overly permissive IAM roles can lead to privilege escalation.
- Steps:
- Create role with administrative privileges.
- Allow user to assume the role.
- Perform administrative actions.
- Differentiation between PassRole vs AssumeRole
Try at [killercoda.com](https://killercoda.com/cloudsecurity-scenario/)
Comparative analysis between traditional aquaponics and reconstructed aquapon...
The aquaponic system of planting is a method that does not require soil usage. It is a method that only needs water, fish, lava rocks (a substitute for soil), and plants. Aquaponic systems are sustainable and environmentally friendly. Its use not only helps to plant in small spaces but also helps reduce artificial chemical use and minimizes excess water use, as aquaponics consumes 90% less water than soil-based gardening. The study applied a descriptive and experimental design to assess and compare conventional and reconstructed aquaponic methods for reproducing tomatoes. The researchers created an observation checklist to determine the significant factors of the study. The study aims to determine the significant difference between traditional aquaponics and reconstructed aquaponics systems propagating tomatoes in terms of height, weight, girth, and number of fruits. The reconstructed aquaponics system’s higher growth yield results in a much more nourished crop than the traditional aquaponics system. It is superior in its number of fruits, height, weight, and girth measurement. Moreover, the reconstructed aquaponics system is proven to eliminate all the hindrances present in the traditional aquaponics system, which are overcrowding of fish, algae growth, pest problems, contaminated water, and dead fish.
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学校原版美国波士顿大学毕业证学历学位证书原版一模一样
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Software Engineering and Project Management - Introduction, Modeling Concepts...
Introduction, Modeling Concepts and Class Modeling: What is Object orientation? What is OO development? OO Themes; Evidence for usefulness of OO development; OO modeling history. Modeling
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Building the Analysis Models: Requirement Analysis, Analysis Model Approaches, Data modeling Concepts, Object Oriented Analysis, Scenario-Based Modeling, Flow-Oriented Modeling, class Based Modeling, Creating a Behavioral Model.
一比一原版(CalArts毕业证)加利福尼亚艺术学院毕业证如何办理
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Hematology Analyzer Machine - Complete Blood Count
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