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Published in association with the Utilitas Mathematica Academy. Offers selected original research in Pure and Applied Mathematics and Statistics. It enjoys a good reputation and popularity at the international level in terms of research papers and distribution worldwide.
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Our Journal We believe that by embracing a wide range of backgrounds and viewpoints, we enrich the statistical discourse and enhance the quality and relevance of our research. Our commitment to inclusivity extends beyond the content of our publications.
https://utilitasmathematica.com/index.php/Index
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https://utilitasmathematica.com/index.php/Index
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https://utilitasmathematica.com/index.php/Index
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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
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
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.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
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.
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.
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.
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Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
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Calculus Assignment Help
2. Problem 1
A particle moves along the positive xaxis with velocity 5 units/second. How fast is the
particle moving away from the point (0, 3) (which is on the yaxis) when the particle is
7 units away from (0, 3)?
Problem 2(The antiderivative of
(a)Break the interval [0, a] into a union of n equal subintervals. Using the right
endpoint of each subinterval, compute the Riemann sum approximating the integral,
Leave your answer in the form of a sum. But simplify as much as possible. Show
all work.
Problem 4, continued
(b)For an appropriate choice of a, express the following limit in terms of the Riemann
sum from (a). Use the formula for the antiderivative to compute the limit.
Problem
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3. Problem 3
Solve the following separable ordinary differential equation with given initial condition.
�
Problem 4Compute each of the following Riemann integrals. You are not required to
show every step. Please do say what method you use to compute the integral.
(a) �
(b)
Problem 4, continued
(c)
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5. Problem 1(A particle moves along the positive xaxis with velocity 5 units/second. How fast is
the particle moving away from the point (0, 3) (which is on the yaxis) when the particle is 7
units away from (0, 3)?
Solution to Problem 1 The independent variable is time, t. Denote by x the position of the
particle on the xaxis. Denote by L the distance of the particle from (0, 3). By the Pythagorean
theorem,
L2
= x2
+ 9.
Differentiating with respect to t gives,
Solving
gives,
When L equals 7, L2 equals 49 and,
2 x = L2 − 9 = 49 − 9 =
40.
Thus x equals 2 √10. By hypothesis, dx/dt equals 5. Solving gives,
Solutions
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6. Problem 2
The antiderivative of 1/
(a)Break the interval [0, a] into a union of n equal subintervals. Using the right
endpoint of each subinterval, compute the Riemann sum approximating the
integra
Leave your answer in the form of a sum. But simplify as much as possible. Show
all work. Solution to (a) The partition of [0, a] into n equal subintervals has right
endpoints,
The instructions are to use the right endpoint of the kth subinterval, i.e., xk.
Thus the Riemann sum is,
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7. Simplifying gives,
(b)For an appropriate choice of a, express the following limit in terms of the Riemann
sum from (a). Use the formula for the antiderivative to compute the limit.
Solution to (b) The sum in the limit can be rewritten as,
By the Solution to (a),
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8. Applying this in the case that a = 4/3 gives,
Therefore,
Since (4/3)2 + 1 equals (5/3)2, and since 4/3 + 5/3 equals 3, the limit
simplifies to,
Problem 3 Solve the following separable ordinary differential equation with
given initial condition.
Solution to Problem 3 Using the exponent rule,
the differential equation is equivalent to,
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9. This gives an equation of differentials,
Antidifferentiating gives,
which is,
Substituting the initial condition gives the equation for C,
Solving for C gives,
Substituting this in and simplifying gives,
Taking logarithms and simplifying gives,
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10. Problem 4Compute each of the following Riemann integrals. You are not required to
show every step. Please do say what method you use to compute the integral.
(a)
Solution to (a) Using the rule that the antiderivative of xa is xa+1/(a + 1) (for a = −1),
the antiderivative of the integrand is,
Using geometric series, this simplifies to,
Applying the Fundamental Theorem of Calculus,
Evaluating at the limits gives,
In simplest terms, this gives,
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11. (b)
Solution to (b) Make the substitution,
This reduces the original integral to the simpler
integral,
Therefore,
(c)
Solution to (c) The function sin(θ) is odd. Therefore the odd power, sin7 (θ) is also an
odd function. The interval [−π/2, π/2] is symmetric with respect to the origin. Therefore
the integral of sin7 (θ) over [−π/2, 0] equals the negative of the integral of sin7 (θ) over
[0, π/2]. So the two integrals cancel to give,
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12. Alternatively, rewrite the integral as,
Next use the rule, sin2 (θ) = 1 − cos2(θ) to get
Make the substitution,
to reduce the original integral to,
Since the upper and lower limit are each 0, again this
gives,
(d)
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13. Solution to (d) Use the logarithm rule,
to reduce the integral to,
Next make the substitution,
This reduces the original integral to the simpler integral,
Therefore,
(e)
Solution to (e) Use the angle addition formula,
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14. to reduce the numerator to,
Thus the integral is,
Applying the Fundamental Theorem of Calculus gives,
Therefore,
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