Lesson 18: Maximum and Minimum Values (Section 041 handout)Matthew Leingang
There are various reasons why we would want to find the extreme (maximum and minimum values) of a function. Fermat's Theorem tells us we can find local extreme points by looking at critical points. This process is known as the Closed Interval Method.
The following presentation is a part of the level 4 module -- Electrical and Electronic Principles. This resources is a part of the 2009/2010 Engineering (foundation degree, BEng and HN) courses from University of Wales Newport (course codes H101, H691, H620, HH37 and 001H). This resource is a part of the core modules for the full time 1st year undergraduate programme.
The BEng & Foundation Degrees and HNC/D in Engineering are designed to meet the needs of employers by placing the emphasis on the theoretical, practical and vocational aspects of engineering within the workplace and beyond. Engineering is becoming more high profile, and therefore more in demand as a skill set, in today’s high-tech world. This course has been designed to provide you with knowledge, skills and practical experience encountered in everyday engineering environments.
Lesson 18: Maximum and Minimum Values (Section 021 handout)Matthew Leingang
There are various reasons why we would want to find the extreme (maximum and minimum values) of a function. Fermat's Theorem tells us we can find local extreme points by looking at critical points. This process is known as the Closed Interval Method.
Uncountably many problems in life and nature can be expressed in terms of an optimization principle. We look at the process and find a few good examples.
Lesson 18: Maximum and Minimum Values (Section 041 handout)Matthew Leingang
There are various reasons why we would want to find the extreme (maximum and minimum values) of a function. Fermat's Theorem tells us we can find local extreme points by looking at critical points. This process is known as the Closed Interval Method.
The following presentation is a part of the level 4 module -- Electrical and Electronic Principles. This resources is a part of the 2009/2010 Engineering (foundation degree, BEng and HN) courses from University of Wales Newport (course codes H101, H691, H620, HH37 and 001H). This resource is a part of the core modules for the full time 1st year undergraduate programme.
The BEng & Foundation Degrees and HNC/D in Engineering are designed to meet the needs of employers by placing the emphasis on the theoretical, practical and vocational aspects of engineering within the workplace and beyond. Engineering is becoming more high profile, and therefore more in demand as a skill set, in today’s high-tech world. This course has been designed to provide you with knowledge, skills and practical experience encountered in everyday engineering environments.
Lesson 18: Maximum and Minimum Values (Section 021 handout)Matthew Leingang
There are various reasons why we would want to find the extreme (maximum and minimum values) of a function. Fermat's Theorem tells us we can find local extreme points by looking at critical points. This process is known as the Closed Interval Method.
Uncountably many problems in life and nature can be expressed in terms of an optimization principle. We look at the process and find a few good examples.
Analisis Butir Soal PG Matematika Wajib Kelas XII IPA-IPS NFBS SerangHirwanto Iwan
File document ini berisi analisis butir soal berbentuk Pilihan Ganda Matematika Wajib Kelas XII IPA-IPS Tabun Ajaran 2020-2021. Sistem Penilaian via Google Form dengan jumlah sebanyak 20 soal Pilihan Ganda terdiri dari :
1. Uji Validitas
2. Uji Reliabilitas
3. Uji Tingkat Kesukaran
4. Uji Daya Pembeda
Analisis menggunakan Perangkat Lunak SPSS v23
Analisis Butir Soal Pilihan Ganda Matematika Wajib Kelas XII IPAHirwanto Iwan
Analisis butir soal pilihan ganda matematika wajib kelas XII IPA Penilaian Tengah Semester T.A. 2019-2020 dibuat dengan menggunakan perangkat lunak IBM SPSS Statistics 23 berdasarkan pada uji validitas, uji reliabilitas, uji tingkat kesukaran, dan ujian daya pembeda.
Slide ini berisi materi limit dan turunan. Limit diperkenalkan sifat-sifatnya dan metode penyelesaian sedangkan pada bagian turunan diperkenalkan pada sifat-sifat dan metode penyelesaian turunan. Kedua materi ini dibatasi hanya limit dan turunan aljabar.
Pembahasan Soal Matematika Wajib PTS Kelas XI IPSHirwanto Iwan
File ini dibuat dengan menggunakan LaTeX berisi pembahasan soal matematika wajib PTS Kelas XI IPS yang membahas materi barisan dan deret serta limit dan derivative
Pembahasan Soal Matematika Wajib PTS Kelas XI IPAHirwanto Iwan
File ini dibuat dengan menggunakan LaTeX berisi pembahasan soal matematika wajib PTS Kelas XI IPA yang membahas materi barisan dan deret serta limit dan derivative
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Analisis Butir Soal PG Matematika Wajib Kelas XII IPA-IPS NFBS SerangHirwanto Iwan
File document ini berisi analisis butir soal berbentuk Pilihan Ganda Matematika Wajib Kelas XII IPA-IPS Tabun Ajaran 2020-2021. Sistem Penilaian via Google Form dengan jumlah sebanyak 20 soal Pilihan Ganda terdiri dari :
1. Uji Validitas
2. Uji Reliabilitas
3. Uji Tingkat Kesukaran
4. Uji Daya Pembeda
Analisis menggunakan Perangkat Lunak SPSS v23
Analisis Butir Soal Pilihan Ganda Matematika Wajib Kelas XII IPAHirwanto Iwan
Analisis butir soal pilihan ganda matematika wajib kelas XII IPA Penilaian Tengah Semester T.A. 2019-2020 dibuat dengan menggunakan perangkat lunak IBM SPSS Statistics 23 berdasarkan pada uji validitas, uji reliabilitas, uji tingkat kesukaran, dan ujian daya pembeda.
Slide ini berisi materi limit dan turunan. Limit diperkenalkan sifat-sifatnya dan metode penyelesaian sedangkan pada bagian turunan diperkenalkan pada sifat-sifat dan metode penyelesaian turunan. Kedua materi ini dibatasi hanya limit dan turunan aljabar.
Pembahasan Soal Matematika Wajib PTS Kelas XI IPSHirwanto Iwan
File ini dibuat dengan menggunakan LaTeX berisi pembahasan soal matematika wajib PTS Kelas XI IPS yang membahas materi barisan dan deret serta limit dan derivative
Pembahasan Soal Matematika Wajib PTS Kelas XI IPAHirwanto Iwan
File ini dibuat dengan menggunakan LaTeX berisi pembahasan soal matematika wajib PTS Kelas XI IPA yang membahas materi barisan dan deret serta limit dan derivative
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
5. Section 1 - Subsection 1 - Page 2
Definition
Let n be a discrete variable, i.e. n ∈ Z. A 1-dimensional periodic
number is a function that depends periodically on n.
u(n) = [u0, u1, . . . , ud−1]n =
u0 if n ≡ 0 (mod d)
u1 if n ≡ 1 (mod d)
...
ud−1 if n ≡ d − 1 (mod d)
d is called the period.
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7. Section 1 - Subsection 1 - Page 4
Definition
A polynomial in a variable x is a linear combination of powers of x:
f (x) =
g
i=0
ci xi
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8. Section 1 - Subsection 1 - Page 4
Definition
A polynomial in a variable x is a linear combination of powers of x:
f (x) =
g
i=0
ci xi
Definition
A quasi-polynomial in a variable x is a polynomial expression with
periodic numbers as coefficients:
f (n) =
g
i=0
ui (n)ni
with ui (n) periodic numbers.
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9. Next Subsection
1 First Section
Section 1 - Subsection 1
Section 1 - Subsection 2
Section 1 - Subsection 3
2 Second Section
Section 2 - Subsection 1
Section 2 - Last Subsection
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10. Section 1 - Subsection 2 - Page 1
Example
0 1 2 3 4 5 6 7
x
0
1
2
3
4
5
6
7
y
p =3
x + y ≤ p
p f (p)
3 5
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11. Section 1 - Subsection 2 - Page 1
Example
0 1 2 3 4 5 6 7
x
0
1
2
3
4
5
6
7
y
p =4
x + y ≤ p
p f (p)
3 5
4 8
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12. Section 1 - Subsection 2 - Page 1
Example
0 1 2 3 4 5 6 7
x
0
1
2
3
4
5
6
7
y
p =5
x + y ≤ p
p f (p)
3 5
4 8
5 10
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13. Section 1 - Subsection 2 - Page 1
Example
0 1 2 3 4 5 6 7
x
0
1
2
3
4
5
6
7
y
p =6
x + y ≤ p
p f (p)
3 5
4 8
5 10
6 13
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14. Section 1 - Subsection 2 - Page 1
Example
0 1 2 3 4 5 6 7
x
0
1
2
3
4
5
6
7
y
p =6
x + y ≤ p
p f (p)
3 5
4 8
5 10
6 13
5
2
p + −2,
−5
2 p
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15. Section 1 - Subsection 2 - Page 2
• The number of integer points in a parametric polytope Pp of
dimension n is expressed as a piecewise a quasi-polynomial of
degree n in p (Clauss and Loechner).
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16. Section 1 - Subsection 2 - Page 2
• The number of integer points in a parametric polytope Pp of
dimension n is expressed as a piecewise a quasi-polynomial of
degree n in p (Clauss and Loechner).
• More general polyhedral counting problems:
Systems of linear inequalities combined with ∨, ∧, ¬, ∀, or ∃
(Presburger formulas).
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17. Section 1 - Subsection 2 - Page 2
• The number of integer points in a parametric polytope Pp of
dimension n is expressed as a piecewise a quasi-polynomial of
degree n in p (Clauss and Loechner).
• More general polyhedral counting problems:
Systems of linear inequalities combined with ∨, ∧, ¬, ∀, or ∃
(Presburger formulas).
• Many problems in static program analysis can be expressed as
polyhedral counting problems.
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18. Next Subsection
1 First Section
Section 1 - Subsection 1
Section 1 - Subsection 2
Section 1 - Subsection 3
2 Second Section
Section 2 - Subsection 1
Section 2 - Last Subsection
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19. Section 1 - Subsection 3 - Page 1
A picture made with the package TiKz
Example
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20. Next Subsection
1 First Section
Section 1 - Subsection 1
Section 1 - Subsection 2
Section 1 - Subsection 3
2 Second Section
Section 2 - Subsection 1
Section 2 - Last Subsection
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21. Section 2 - subsection 1 - page 1
Alertblock
This page gives an example with numbered bullets (enumerate)
in an ”Example” window:
Example
Discrete domain ⇒ evaluate in each point
Not possible for
1 parametric domains
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22. Section 2 - subsection 1 - page 1
Alertblock
This page gives an example with numbered bullets (enumerate)
in an ”Example” window:
Example
Discrete domain ⇒ evaluate in each point
Not possible for
1 parametric domains
2 large domains (NP-complete)
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23. Next Subsection
1 First Section
Section 1 - Subsection 1
Section 1 - Subsection 2
Section 1 - Subsection 3
2 Second Section
Section 2 - Subsection 1
Section 2 - Last Subsection
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24. Last Page
Summary
End of the beamer demo
with a tidy TU Delft lay-out.
Thank you!
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