The document discusses antiderivatives and indefinite integrals. It defines an antiderivative as a function whose derivative is equal to the given function. It provides examples of finding antiderivatives using properties like power rules. The power rule states the antiderivative of x^r is x^(r+1)/(r+1) for any rational number r not equal to -1. It also discusses the linearity property which allows breaking up integrals of sums into sums of integrals. The generalized power rule extends the power rule to functions of x raised to some power.
This document outlines the course plan for a Calculus II class. The course will cover indefinite and definite integrals, transcendental functions, integration techniques, improper integrals, and applications of integrals. It will introduce students to key concepts like anti-derivatives, Riemann sums, and the fundamental theorems of calculus. Over 15 weeks, students will learn about logarithm and hyperbolic functions, integration methods, indefinite forms, and using integrals to calculate area, volume, and centers of mass. The course aims to help freshmen understand basic calculus concepts, especially those building upon Calculus I.
Noises in Interactions Traces Data and their Impact on Previous StudiesZephyrin Soh
This document discusses noises in interaction traces collected from IDEs and their impact on previous studies. The researchers analyzed interaction traces from videos of developers and found that the traces contained time-related and edit-related noises, with around 6% of time and 28% of edits incorrectly recorded. They developed correction rules to filter out incorrect edits from the traces. Applying the rules improved the accuracy of measures like editing style that previous studies relied on, but some impact from noises remained. The results indicate noises in interaction traces can influence conclusions of studies using the trace data.
The document is about transformations, specifically translations and rotations. It provides examples of performing different types of rotations on sets of points, including 90° clockwise rotations, 90° counterclockwise rotations, and 180° rotations. It explains that a 90° clockwise rotation switches the x and y coordinates and changes the sign of y, a 90° counterclockwise rotation switches the x and y coordinates and changes the sign of x, and a 180° rotation changes the sign of both the x and y coordinates. Several examples are worked through to demonstrate how to find the image of a set of points after a given rotation.
The document discusses antiderivatives and indefinite integrals. It defines an antiderivative as a function whose derivative is equal to the given function. It provides examples of finding antiderivatives using properties like power rules. The power rule states the antiderivative of x^r is x^(r+1)/(r+1) for any rational number r not equal to -1. It also discusses the linearity property which allows breaking up integrals of sums into sums of integrals. The generalized power rule extends the power rule to functions of x raised to some power.
This document outlines the course plan for a Calculus II class. The course will cover indefinite and definite integrals, transcendental functions, integration techniques, improper integrals, and applications of integrals. It will introduce students to key concepts like anti-derivatives, Riemann sums, and the fundamental theorems of calculus. Over 15 weeks, students will learn about logarithm and hyperbolic functions, integration methods, indefinite forms, and using integrals to calculate area, volume, and centers of mass. The course aims to help freshmen understand basic calculus concepts, especially those building upon Calculus I.
Noises in Interactions Traces Data and their Impact on Previous StudiesZephyrin Soh
This document discusses noises in interaction traces collected from IDEs and their impact on previous studies. The researchers analyzed interaction traces from videos of developers and found that the traces contained time-related and edit-related noises, with around 6% of time and 28% of edits incorrectly recorded. They developed correction rules to filter out incorrect edits from the traces. Applying the rules improved the accuracy of measures like editing style that previous studies relied on, but some impact from noises remained. The results indicate noises in interaction traces can influence conclusions of studies using the trace data.
The document is about transformations, specifically translations and rotations. It provides examples of performing different types of rotations on sets of points, including 90° clockwise rotations, 90° counterclockwise rotations, and 180° rotations. It explains that a 90° clockwise rotation switches the x and y coordinates and changes the sign of y, a 90° counterclockwise rotation switches the x and y coordinates and changes the sign of x, and a 180° rotation changes the sign of both the x and y coordinates. Several examples are worked through to demonstrate how to find the image of a set of points after a given rotation.
The document provides information about various geometric concepts including:
1) Angles add up to 90° when they are complementary and 60° + a = 90° so a = 30°.
2) Isosceles triangles have two equal angles opposite the equal sides.
3) Polygons are closed figures with straight sides like triangles, quadrilaterals, pentagons, etc. Interior angles add up to 180° in a triangle and (n-2)×180° for an n-sided polygon.
4) Exterior angles of any polygon add up to 360°.
The document discusses the natural logarithm function ln(x) and the natural exponential function exp(x). It begins by defining ln(x) as the area under the curve y=1/t from 1 to x, and noting that its derivative is 1/x. It then defines exp(x) as the inverse of ln(x). It is shown that for rational r, exp(r) = er, and this definition is extended to irrational r. The derivative of exp(x) is then shown to be exp(x) itself.
The definite integral is defined as the limit of Riemann sums as the norm of the partition approaches 0. A Riemann sum is the sum of the areas of rectangles formed by the function over subintervals of its domain. The definite integral calculates the signed area between the function's graph and the x-axis over an interval. It generalizes the idea of finding the area under a curve to allow for functions that are negative, discontinuous, or unbounded over the interval.
This document discusses a review of 2D shapes using an online activity. It refers to a previous discussion about 6-sided shapes and how a child made a bridge with an octopus. The document also mentions a discussion on prefixes such as nona and deca from an earlier grade and hopes a student may understand shapes better the next day.
The document contains the answers to a geometry test from March 12, 2009. It lists the answers to 10 multiple choice questions in order from 1 to 10, with the answers being worked on and finalized between March 9th at 8:37 AM and March 10th at 2:46 PM.
This document reviews linear equations by having the reader graph sample equations, determine their slopes and y-intercepts, compare slopes to determine which equation is steeper, and write equations based on given information. It also asks the reader to find and compare slopes of additional equations.
Playing time is earned based on how hard a player works in practice, their communication and attitude, and how they help the team win by executing the offensive and defensive systems and accepting their role. Players are expected to always play hard by hustling on and off the floor, competing during games and practice, and fighting through adversity with toughness. They must also always play smart by accepting coaching, avoiding turnovers, knowing their role, and improving individually. Most importantly, players must always play together by making others better, sharing the ball, being positive and encouraging teammates, and helping each other.
This document provides instructions for the June 2012 Advanced Level Economics examination. It specifies that the exam is 2 hours long and consists of two sections. Section A involves answering questions on one of two contexts, either the global context or the European Union context. Section B involves answering one essay question from a choice of three. The document provides background information on the format, marking and advice for taking the exam. It also includes sample exam questions and extracts of information related to the two context choices that could be the basis for Section A questions.
The document discusses a study on how developers spend their effort during maintenance activities. The study aimed to understand if the complexity of changes made to address a task reflects the effort spent by developers. The researchers collected data on developers' interactions and corresponding patches from Eclipse projects. They defined metrics to measure developers' effort and complexity of changes. Their results found that developers do not necessarily spend more effort on tasks requiring more complex changes. Additional factors like number of additional files explored and bug severity were found to affect developers' effort.
Players should work hard to create a positive basketball culture by accepting their role and improving themselves. They must show good sportsmanship, communicate well with teammates and coaches, and understand that team success is more important than any individual. Players should always follow the program's rules by playing hard, smart, and together while accepting coaching and helping each other improve.
The document discusses two offshore oilfield projects in Southeast Asia that are pioneering the use of customized water treatment to improve oil recovery. Both projects require treated seawater to be injected into reservoirs for chemical EOR processes. A pilot study tested a proprietary reverse osmosis and nanofiltration system to treat seawater and produce different water qualities required by the two projects. The pilot demonstrated the system could reliably achieve various water quality targets and respond quickly to changes. This indicates the system may be suitable to meet the unique water treatment needs of chemical EOR applications in offshore environments.
This geometry pre-test contains 5 multiple choice questions that assess students' geometry skills. The questions cover topics like calculating distances on a map, finding the radius of a volleyball given its volume, and determining the coordinates of the last vertex of a rhombus when given the coordinates of two vertices and the endpoints of a diagonal. Students must use their understanding of geometry concepts like distance, volume, and properties of shapes to answer each question correctly.
The document describes a problem involving valid parentheses sequences. A valid sequence can be reduced to empty by repeatedly removing adjacent pairs of parentheses. Mike wants to replace his current sequence A with a new sequence B, where the maximum balance over prefixes is equal between A and B according to the F(S) function described. The input consists of A and B, and the output should state if F(A) = F(B), allowing Mike to replace the sequence.
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Streetscapes at Night: Lighting between Safety, Identity and TransformationThomas Schielke
Keynote at City Street 3 Conference at Notre Dame University Louize, Libanon 2018:
Transitional Streets: Narrating Stories of Convivial Streets
http://www.ndu.edu.lb/city-street-3/home
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Lighting is an essential element to perceive the environment at night. Diverse ideas like safety requirements, branding, transformation and technological progress have led to different nocturnal streetscapes. Street lighting has been widely installed with the argument to improve safety. With the emergence of powerful and adaptive headlights in the automotive industry and highly re ective textiles for pedestrians, the role and effectiveness of conventional street lighting is questionable. From a technological point of view, energy ef ciency and low maintenance have dominated the public debate and contributed to the immense growth of LED lighting in cities, but additional developments have accelerated this trend. The miniaturization of the light source and sophisticated control technologies have paved the way for new applications. On the one hand, wearable textiles and gadgets allow pedestrians to communicate and present themselves as luminous objects in streets in a small scale. On the other hand, global and local brands have turned facades into dynamic displays to send corporate messages in a large scale. Political activists have recognised the nocturnal communication possibilities and started to use light for raising awareness regarding social and political issues. A comprehensive semiotic analysis provides the framework to identify lighting as a sign to communicate messages within the city at night. International permanent and temporary projects illustrate how the role of lighting has changed and will in uence our streets in urban areas.