2-Series-and-sequence.pptx
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Series & Sequence of Mathematics Arithmetic Sequence Arithmetic Series Geometric Series Fibonacci Sequence Harmonic Sequence
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The document discusses the Fibonacci sequence and different types of sequences. It defines a sequence as an ordered list of numbers that follows a definite rule. It explains the Fibonacci sequence is where each term is the sum of the two previous terms. The document also discusses arithmetic sequences which have a common difference between terms and geometric sequences which have a common ratio. It provides examples of computing Fibonacci numbers and describes how the golden ratio and golden rectangle relate to the Fibonacci sequence in nature.
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The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding numbers. The sequence begins with 0 and 1 and progresses as 0, 1, 1, 2, 3, 5, 8, etc. This mathematical pattern is found throughout nature, appearing in aspects like petal arrangements, sunflower seeds, and seashell spirals. The Fibonacci sequence was first studied by Indian mathematicians around 200 BC and introduced to Western Europe by Leonardo Fibonacci in 1202 based on patterns in rabbit populations.
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The fibonacci sequence
This ppt contains everything about Fibonacci sequence.
From its origin to where it is used and where it is found-EVERYTHING.Hope you like it
Fibonacci sequence
This document discusses the Fibonacci sequence, a number pattern discovered over 8000 years ago by Italian mathematician Leonardo Fibonacci. The sequence begins with 0, 1, 1, 2, 3, 5, 8, 13, 21, etc. with each subsequent number calculated by adding the previous two numbers. It explains that this sequence appears throughout nature, such as the spiral patterns of sunflowers and other plants. Activities are provided for students to explore properties of the Fibonacci sequence, like adding numbers above a line in the sequence equalling one less than the number below.
Golden Ratio
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How this ratio is used in our daily work....??
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Fibonacci Numbers
Leonardo Pisano Fibonacci was an Italian mathematician from the 13th century known for introducing the decimal numeral system and the Fibonacci sequence to Western Europe. The Fibonacci sequence is a series of numbers where each subsequent number is the sum of the previous two, starting with 0 and 1. This sequence appears frequently in nature, such as in the spiral pattern of flower petals, seed heads, pinecones, and branching in trees and galaxies. It is also used in computer programming, poetry meter, and as a technical analysis tool in finance to determine support and resistance levels in stock prices.
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Patterns in nature are visible regularities that recur in different contexts and can be mathematically modeled. Early philosophers studied natural patterns like symmetries, spirals, and waves. The Fibonacci sequence, where each number is the sum of the previous two, is found throughout nature in patterns of seeds, shells, and other biological structures that follow the golden ratio of approximately 1.618. Many natural phenomena exhibit self-similar fractal patterns related to the Fibonacci sequence and golden ratio.
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Throughout the book, we will use a friendly and engaging tone, making the material accessible to a wide range of readers, including students, mathematicians, and anyone with an interest in mathematics. Whether you are a beginner or an expert, you will find something of interest in this book.
Chapter 1: Introduction to Sequences
In this chapter, we will introduce the basic concepts and notation used in the study of sequences of real numbers. A sequence is simply a function whose domain is the set of positive integers, and whose range is a set of real numbers. We will start by defining sequences and their terms, and we will explore some basic properties of sequences, such as their limits and bounds.
We will also introduce the notation used to represent sequences, including the use of the Greek letter n to represent the index of a sequence. This is a crucial piece of notation, as it allows us to express the properties of a sequence in a concise and easily understood way.
Finally, we will look at some examples of sequences, including arithmetic and geometric sequences, and we will explore some of their properties. This will provide a foundation for the more advanced topics we will study later in the book.
Definition of Sequence
A sequence of real numbers is a function whose domain is the set of positive integers, and whose range is a set of real numbers. The elements of the sequence are referred to as terms, and they are denoted by a variable (usually "a_n") with a subscrip
Patterns sequences
The document discusses patterns and sequences. It introduces the Fibonacci sequence as an example of a numerical pattern found in nature. The Fibonacci sequence begins with 1, 1, 2, 3, 5, 8, etc where each number is the sum of the previous two. Leonardo Fibonacci first introduced this sequence to Western mathematics to model the reproductive growth of rabbits. The ratio of consecutive Fibonacci numbers approaches the golden ratio of approximately 1.618, which appears throughout nature, art, architecture and design.
Mathematical patterns
This document discusses different types of patterns including shape patterns, repeating patterns, and numerical patterns. It provides examples and exercises for identifying the core and terms of repeating patterns as well as finding subsequent elements in shape and numerical patterns. The conclusion emphasizes that recognizing and creating patterns is fundamental to mathematics and helps develop skills for more advanced math concepts.
The fibonacci sequence
This ppt contains everything about Fibonacci sequence.
From its origin to where it is used and where it is found-EVERYTHING.Hope you like it
Fibonacci sequence
This document discusses the Fibonacci sequence, a number pattern discovered over 8000 years ago by Italian mathematician Leonardo Fibonacci. The sequence begins with 0, 1, 1, 2, 3, 5, 8, 13, 21, etc. with each subsequent number calculated by adding the previous two numbers. It explains that this sequence appears throughout nature, such as the spiral patterns of sunflowers and other plants. Activities are provided for students to explore properties of the Fibonacci sequence, like adding numbers above a line in the sequence equalling one less than the number below.
Golden Ratio
Golden Ratio
How this ratio is used in our daily work....??
It is especially used for aesthetics purposes for beauty of things.
Fibonacci Numbers
Leonardo Pisano Fibonacci was an Italian mathematician from the 13th century known for introducing the decimal numeral system and the Fibonacci sequence to Western Europe. The Fibonacci sequence is a series of numbers where each subsequent number is the sum of the previous two, starting with 0 and 1. This sequence appears frequently in nature, such as in the spiral pattern of flower petals, seed heads, pinecones, and branching in trees and galaxies. It is also used in computer programming, poetry meter, and as a technical analysis tool in finance to determine support and resistance levels in stock prices.
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The Fascinating World of Real Number Sequences.pdf
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Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Sinan from the Delivery Hero mobile infrastructure engineering team shares a deep dive into performance acceleration with Gradle build cache optimizations. Sinan shares their journey into solving complex build-cache problems that affect Gradle builds. By understanding the challenges and solutions found in our journey, we aim to demonstrate the possibilities for faster builds. The case study reveals how overlapping outputs and cache misconfigurations led to significant increases in build times, especially as the project scaled up with numerous modules using Paparazzi tests. The journey from diagnosing to defeating cache issues offers invaluable lessons on maintaining cache integrity without sacrificing functionality.
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
原版一模一样【微信：741003700 】【(爱大毕业证书)爱荷华大学毕业证成绩单】【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
办理(爱大毕业证书)爱荷华大学毕业证【微信：741003700 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理(爱大毕业证书)爱荷华大学毕业证【微信：741003700 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理(爱大毕业证书)爱荷华大学毕业证【微信：741003700 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理(爱大毕业证书)爱荷华大学毕业证【微信：741003700 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...
Energy efficiency has been important since the latter part of the last century. The main object of this survey is to determine the energy efficiency knowledge among consumers. Two separate districts in Bangladesh are selected to conduct the survey on households and showrooms about the energy and seller also. The survey uses the data to find some regression equations from which it is easy to predict energy efficiency knowledge. The data is analyzed and calculated based on five important criteria. The initial target was to find some factors that help predict a person's energy efficiency knowledge. From the survey, it is found that the energy efficiency awareness among the people of our country is very low. Relationships between household energy use behaviors are estimated using a unique dataset of about 40 households and 20 showrooms in Bangladesh's Chapainawabganj and Bagerhat districts. Knowledge of energy consumption and energy efficiency technology options is found to be associated with household use of energy conservation practices. Household characteristics also influence household energy use behavior. Younger household cohorts are more likely to adopt energy-efficient technologies and energy conservation practices and place primary importance on energy saving for environmental reasons. Education also influences attitudes toward energy conservation in Bangladesh. Low-education households indicate they primarily save electricity for the environment while high-education households indicate they are motivated by environmental concerns.
LLM Fine Tuning with QLoRA Cassandra Lunch 4, presented by Anant
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Advanced control scheme of doubly fed induction generator for wind turbine us...
This paper describes a speed control device for generating electrical energy on an electricity network based on the doubly fed induction generator (DFIG) used for wind power conversion systems. At first, a double-fed induction generator model was constructed. A control law is formulated to govern the flow of energy between the stator of a DFIG and the energy network using three types of controllers: proportional integral (PI), sliding mode controller (SMC) and second order sliding mode controller (SOSMC). Their different results in terms of power reference tracking, reaction to unexpected speed fluctuations, sensitivity to perturbations, and resilience against machine parameter alterations are compared. MATLAB/Simulink was used to conduct the simulations for the preceding study. Multiple simulations have shown very satisfying results, and the investigations demonstrate the efficacy and power-enhancing capabilities of the suggested control system.
一比一原版(osu毕业证书)美国俄勒冈州立大学毕业证如何办理
原版一模一样【微信：741003700 】【(osu毕业证书)美国俄勒冈州立大学毕业证成绩单】【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理(osu毕业证书)美国俄勒冈州立大学毕业证【微信：741003700 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Gas agency management system project report.pdf
The project entitled "Gas Agency" is done to make the manual process easier by making it a computerized system for billing and maintaining stock. The Gas Agencies get the order request through phone calls or by personal from their customers and deliver the gas cylinders to their address based on their demand and previous delivery date. This process is made computerized and the customer's name, address and stock details are stored in a database. Based on this the billing for a customer is made simple and easier, since a customer order for gas can be accepted only after completing a certain period from the previous delivery. This can be calculated and billed easily through this. There are two types of delivery like domestic purpose use delivery and commercial purpose use delivery. The bill rate and capacity differs for both. This can be easily maintained and charged accordingly.
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
As digital technology becomes more deeply embedded in power systems, protecting the communication
networks of Smart Grids (SG) has emerged as a critical concern. Distributed Network Protocol 3 (DNP3)
represents a multi-tiered application layer protocol extensively utilized in Supervisory Control and Data
Acquisition (SCADA)-based smart grids to facilitate real-time data gathering and control functionalities.
Robust Intrusion Detection Systems (IDS) are necessary for early threat detection and mitigation because
of the interconnection of these networks, which makes them vulnerable to a variety of cyberattacks. To
solve this issue, this paper develops a hybrid Deep Learning (DL) model specifically designed for intrusion
detection in smart grids. The proposed approach is a combination of the Convolutional Neural Network
(CNN) and the Long-Short-Term Memory algorithms (LSTM). We employed a recent intrusion detection
dataset (DNP3), which focuses on unauthorized commands and Denial of Service (DoS) cyberattacks, to
train and test our model. The results of our experiments show that our CNN-LSTM method is much better
at finding smart grid intrusions than other deep learning algorithms used for classification. In addition,
our proposed approach improves accuracy, precision, recall, and F1 score, achieving a high detection
accuracy rate of 99.50%.
22CYT12-Unit-V-E Waste and its Management.ppt
Introduction- e - waste – definition - sources of e-waste– hazardous substances in e-waste - effects of e-waste on environment and human health- need for e-waste management– e-waste handling rules - waste minimization techniques for managing e-waste – recycling of e-waste - disposal treatment methods of e- waste – mechanism of extraction of precious metal from leaching solution-global Scenario of E-waste – E-waste in India- case studies.
原版制作(Humboldt毕业证书)柏林大学毕业证学位证一模一样
原件一模一样【微信：bwp0011】《(Humboldt毕业证书)柏林大学毕业证学位证》【微信：bwp0011】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问微bwp0011
【主营项目】
一.毕业证【微bwp0011】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【微bwp0011】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...
Climate change's impact on the planet forced the United Nations and governments to promote green energies and electric transportation. The deployments of photovoltaic (PV) and electric vehicle (EV) systems gained stronger momentum due to their numerous advantages over fossil fuel types. The advantages go beyond sustainability to reach financial support and stability. The work in this paper introduces the hybrid system between PV and EV to support industrial and commercial plants. This paper covers the theoretical framework of the proposed hybrid system including the required equation to complete the cost analysis when PV and EV are present. In addition, the proposed design diagram which sets the priorities and requirements of the system is presented. The proposed approach allows setup to advance their power stability, especially during power outages. The presented information supports researchers and plant owners to complete the necessary analysis while promoting the deployment of clean energy. The result of a case study that represents a dairy milk farmer supports the theoretical works and highlights its advanced benefits to existing plants. The short return on investment of the proposed approach supports the paper's novelty approach for the sustainable electrical system. In addition, the proposed system allows for an isolated power setup without the need for a transmission line which enhances the safety of the electrical network
Generative AI Use cases applications solutions and implementation.pdf
Generative AI solutions encompass a range of capabilities from content creation to complex problem-solving across industries. Implementing generative AI involves identifying specific business needs, developing tailored AI models using techniques like GANs and VAEs, and integrating these models into existing workflows. Data quality and continuous model refinement are crucial for effective implementation. Businesses must also consider ethical implications and ensure transparency in AI decision-making. Generative AI's implementation aims to enhance efficiency, creativity, and innovation by leveraging autonomous generation and sophisticated learning algorithms to meet diverse business challenges.
https://www.leewayhertz.com/generative-ai-use-cases-and-applications/
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...
AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...Paris Salesforce Developer Group
Build the Next Generation of Apps with the Einstein 1 Platform.
Rejoignez Philippe Ozil pour une session de workshops qui vous guidera à travers les détails de la plateforme Einstein 1, l'importance des données pour la création d'applications d'intelligence artificielle et les différents outils et technologies que Salesforce propose pour vous apporter tous les bénéfices de l'IA.Data Driven Maintenance | UReason Webinar
Discover the latest insights on Data Driven Maintenance with our comprehensive webinar presentation. Learn about traditional maintenance challenges, the right approach to utilizing data, and the benefits of adopting a Data Driven Maintenance strategy. Explore real-world examples, industry best practices, and innovative solutions like FMECA and the D3M model. This presentation, led by expert Jules Oudmans, is essential for asset owners looking to optimize their maintenance processes and leverage digital technologies for improved efficiency and performance. Download now to stay ahead in the evolving maintenance landscape.
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2-Series-and-sequence.pptx
- 2. There are a lot of things in nature or in our everyday activities that shows sequences and series. Just like for example, the pyramids of cups commonly seen in party games shows a series.
- 3. Arithmetic Series This type of series has every term differ by a certain amount called the common difference.
- 5. Another example of a series that can be seen in real life is the diminishing bounce of a basketball after bouncing for the first time from a fall. Most of us has surely experienced a ball bouncing several times after dropping it until it comes to a stop.
- 6. Geometric Series This type of series have succeeding term that has the same quotient when divided. The quotient when dividing any two consecutive terms is what we called the common ratio.
- 8. The human mind is hardwired to recognize patterns. In mathematics, we can generate patterns by performing one or several mathematical operations repeatedly. Sequence A sequence is an ordered list of numbers, called terms, that may have repeated values. The arrangement of these terms is set by a definite rule.
- 9. Examples: Analyze the given sequence for its rule and identify the next three terms. 1. 1, 10, 100, 1000 2. 2, 5, 9, 14, 20
- 10. Fibonacci Sequence • It is named after the Italian mathematician Leonardo of Pisa, who was better known for his nickname Fibonacci. • He is said to have discovered this sequence as he looked at how a hypothesized group of rabbits bred and reproduced. • While the sequence is widely known as Fibonacci sequence, this pattern is said to have been discovered much earlier in India.
- 11. Fibonacci Sequence • Fibonacci sequence has many interesting properties. • Some of nature’s most beautiful patterns, like the spiral arrangement of sunflower seeds, the number of petals in a flower, and the shape of a snail’s shell, all contain Fibonacci numbers.
- 12. Harmonics Sequence In this sequence, the reciprocal of every terms depicts an arithmetic progression. An example of harmonic sequence is given by the sequence shown below.