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Function Discontinuity Detection and Location

12:21 AM |


Graphics systems do not generally provide primitives for drawing general smooth curves. The most commonly used technique is to approximate the curve by a connected piece wise straight-line "polyline".
In R the curve defined by the function f over the interval [a,b] could be drawn as follows.
x = seq(a, b, length = 1000)
y = f(x)
plot(x, y, type = "n")
lines(x, y)
If the function f is discontinuous this approach fails (e.g. consider the function f(x) = 1/x on the interval [-1,1]).
The purpose of this topic is to explore techniques for automatically detecting and locating function discontinuities and drawing the function over the intervals between the discontinuities.
The project could be taken further by developing methods for detecting and locating sharp "corners" in a function's graph. This amounts to finding the discontinuities in the derivative f'(x).
To take on this project you will need to be a competent R programmer (i.e. have completed or be doing 782) and be familiar with notions like "discontinuity", "derivative", "smooth" etc.

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AIR QUALITY

12:07 AM |



Despite significant progress of over the last three decades, air quality remains a significant environmental problem in the U.S. and other developed countries.  With low-cost emission reductions strategies already in place and epidemiological evidence showing a greater threat from air pollutants than previously recognized, regulators are struggling to find the tools to make continued improvements in air quality.
Current research at Resources for the Future assesses the costs and benefits of air quality regulations and examines the potential for innovative regulatory approaches, like incentive-based mechanisms, to achieve reductions fairly and efficiently. Increasingly RFF researchers are turning their attention to policy in developing countries, where urban air quality often poses a serious health threat.

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WASTE MANAGEMENT AND SITE CLEANUP

12:03 AM |


 Many different kinds of wastes are generated in this country: by consumers, businesses, and government. Each of these wastes has different kinds of properties and is subject to different regulatory regimes. The Resource, Conservation and Recovery Act is the primary federal statute that regulates the management and disposition of wastes. Superfund and Brownfields legislation govern how contaminated sites are cleaned up.  And many states have their own laws governing these and other waste issues.
Research at Resources for the Future looks at the full range of policy challenges: from programs to encourage recycling of solid waste to programs and policies to deal with contaminated sites. Topics  include brownfields, the federal superfund program, and nuclear weapon facilities.

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Insights & Reflections about the poem "Desiderata" by Mac Ehrmann

11:20 PM |

          After reading the poem, many words stroke me. I realized many facts and lessons about life. For me, Desiderata is a poem worth reading. It gives inspiration to everyone especially to the people who are lost and feel that they're hopeless. And as I am reading the poem, every word comes into my heart.
         "Live. Laugh. Love." As the poem says, be yourself. Do whatever you want to do. Don't mind other's opinion. It's your own life. Cherish every moment. Every success, every failure, every memory. 'Cause it only comes once. Don't try to impress others. You are put in this world to express not to impress. And even though you fall, stand up! Nobody will help you but yourself. Don't depend to others. You have your own mind. And love everything. Love your family. Love your friends. Love your haters. Love all the people around you. And be thankful to all of them because with them, you are yourself now. Don't judge the people and things around you. You don't know them. Look at them at their good side and not at their negative side for someday, you will be thankful to them for coming into your life. Learn also to accept failure. Because once you're in the top, means you're always there. You should learn in your mistakes. For they will serve as a lesson for you someday. Smile and be happy. Everyone deserves to be happy! Everyone deserves to be inspired. Being happy doesn't need any reasons. You woke up this morning, it's a reason for you to be happy. God had given you another day to live.
           Go. Go explore the world. Live your life to the fullest. All of us have given time for us to live. All we can do is to use that 'time' wisely. Don't lose any chances. 'Cause maybe that chance happens just once. We are all put here to be happy. To learn. And to be a part of this peaceful world. We have our own roles. We have our own stories. And I believe in happy endings. When you're not happy, well it's not yet the end. Strive harder! To make your life meaningful!Leave all the fears behind. Do what makes you happy. Forget all the worries. We're not getting any younger. The opportunities today might not be there forever.
            Do your best always. That's all you can do to prevent regretting. And I believed that, 'everything happens for a reason'. God must put you there for a reason. And you know why are you here? For you to find out what's that reason is.

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Low Carbon Diet Journal -- September 3-9, 2012

6:06 AM |


"We abuse land because we regard it as a commodity belonging to us. When we see land as a commodity to which we belong, we may begin to use it with love and respect."
Aldo Leopold

      This week, I am expecting a cold weather because Christmas is nearly coming. But it's still hot. It feels like summer. And with that, I prefer to spend my spare time outside our house. I can smell fresh air there. It also not consume energy. When I'm inside our house, I watch the TV, turn on the electric fan, use the computer and many more. Unlike when I'm outside, I just watched the children playing in the street. I also conserve electricity there by using the sunlight as my light source when I am writing,reading books and doing my school works. I also enjoy talking with my family outside, in our nipa hut. Because there, we're just watching TV and resting. But when we are inside our house, each of us has different things to do. 

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Storm Signals

6:15 AM |

Insights and Reflection about Storm Signals

  • Today, I learned that an area’s given signal number is based on the intensity, size of circulation and the forecast direction, and speed of the tropical storm or typhoon when the Public Storm Warning Signal is raised. Changes in intensity, size of circulation, or movement of the tropical cyclone also determines the change of the Public Storm Warning Signal in a given area.
  • I will apply my learnings about this phenomenon in a way that I'll be ready whenever that a storm signal is raised in our place, I know the effects and the precautionary measures about it.
  • Learnings about this phenomenon are important because it is a natural phenomenon that hits our country often.
  • On a larger scale, I will share my learning about this phenomena to help other people be more aware on different circumstances that happen in our environment.
  • I need to know more about how can we not be much affected when this phenomena is happening. 

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Low Carbon Diet Journal

4:50 AM |

August 27-September 2, 2012


"What we are doing to the forests of the world is but a mirror reflection of what we are doing to ourselves and to one another."
Mahatma Gandhi


            An earthquake with 7.9 magnititude just hit the country yesterday. But it did not lead to too much loss of lives and other properties. Good thing that we're ready always. That phenomena shows that the nature is already striking back because of our different activities that is bad for the environment.
           Helping the environment is not difficult. We can do it with our own little ways. This week, I help the environment by helping my mother clean our house, lessening the use of the computer, using paper wisely and help in cleaning our backyard. 


         
 @babydreamer14

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