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  • Unexpected performance curve from CPython merge sort

    - by vkazanov
    I have implemented a naive merge sorting algorithm in Python. Algorithm and test code is below: import time import random import matplotlib.pyplot as plt import math from collections import deque def sort(unsorted): if len(unsorted) <= 1: return unsorted to_merge = deque(deque([elem]) for elem in unsorted) while len(to_merge) > 1: left = to_merge.popleft() right = to_merge.popleft() to_merge.append(merge(left, right)) return to_merge.pop() def merge(left, right): result = deque() while left or right: if left and right: elem = left.popleft() if left[0] > right[0] else right.popleft() elif not left and right: elem = right.popleft() elif not right and left: elem = left.popleft() result.append(elem) return result LOOP_COUNT = 100 START_N = 1 END_N = 1000 def test(fun, test_data): start = time.clock() for _ in xrange(LOOP_COUNT): fun(test_data) return time.clock() - start def run_test(): timings, elem_nums = [], [] test_data = random.sample(xrange(100000), END_N) for i in xrange(START_N, END_N): loop_test_data = test_data[:i] elapsed = test(sort, loop_test_data) timings.append(elapsed) elem_nums.append(len(loop_test_data)) print "%f s --- %d elems" % (elapsed, len(loop_test_data)) plt.plot(elem_nums, timings) plt.show() run_test() As much as I can see everything is OK and I should get a nice N*logN curve as a result. But the picture differs a bit: Things I've tried to investigate the issue: PyPy. The curve is ok. Disabled the GC using the gc module. Wrong guess. Debug output showed that it doesn't even run until the end of the test. Memory profiling using meliae - nothing special or suspicious. ` I had another implementation (a recursive one using the same merge function), it acts the similar way. The more full test cycles I create - the more "jumps" there are in the curve. So how can this behaviour be explained and - hopefully - fixed? UPD: changed lists to collections.deque UPD2: added the full test code UPD3: I use Python 2.7.1 on a Ubuntu 11.04 OS, using a quad-core 2Hz notebook. I tried to turn of most of all other processes: the number of spikes went down but at least one of them was still there.

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  • Does anyone really understand how HFSC scheduling in Linux/BSD works?

    - by Mecki
    I read the original SIGCOMM '97 PostScript paper about HFSC, it is very technically, but I understand the basic concept. Instead of giving a linear service curve (as with pretty much every other scheduling algorithm), you can specify a convex or concave service curve and thus it is possible to decouple bandwidth and delay. However, even though this paper mentions to kind of scheduling algorithms being used (real-time and link-share), it always only mentions ONE curve per scheduling class (the decoupling is done by specifying this curve, only one curve is needed for that). Now HFSC has been implemented for BSD (OpenBSD, FreeBSD, etc.) using the ALTQ scheduling framework and it has been implemented Linux using the TC scheduling framework (part of iproute2). Both implementations added two additional service curves, that were NOT in the original paper! A real-time service curve and an upper-limit service curve. Again, please note that the original paper mentions two scheduling algorithms (real-time and link-share), but in that paper both work with one single service curve. There never have been two independent service curves for either one as you currently find in BSD and Linux. Even worse, some version of ALTQ seems to add an additional queue priority to HSFC (there is no such thing as priority in the original paper either). I found several BSD HowTo's mentioning this priority setting (even though the man page of the latest ALTQ release knows no such parameter for HSFC, so officially it does not even exist). This all makes the HFSC scheduling even more complex than the algorithm described in the original paper and there are tons of tutorials on the Internet that often contradict each other, one claiming the opposite of the other one. This is probably the main reason why nobody really seems to understand how HFSC scheduling really works. Before I can ask my questions, we need a sample setup of some kind. I'll use a very simple one as seen in the image below: Here are some questions I cannot answer because the tutorials contradict each other: What for do I need a real-time curve at all? Assuming A1, A2, B1, B2 are all 128 kbit/s link-share (no real-time curve for either one), then each of those will get 128 kbit/s if the root has 512 kbit/s to distribute (and A and B are both 256 kbit/s of course), right? Why would I additionally give A1 and B1 a real-time curve with 128 kbit/s? What would this be good for? To give those two a higher priority? According to original paper I can give them a higher priority by using a curve, that's what HFSC is all about after all. By giving both classes a curve of [256kbit/s 20ms 128kbit/s] both have twice the priority than A2 and B2 automatically (still only getting 128 kbit/s on average) Does the real-time bandwidth count towards the link-share bandwidth? E.g. if A1 and B1 both only have 64kbit/s real-time and 64kbit/s link-share bandwidth, does that mean once they are served 64kbit/s via real-time, their link-share requirement is satisfied as well (they might get excess bandwidth, but lets ignore that for a second) or does that mean they get another 64 kbit/s via link-share? So does each class has a bandwidth "requirement" of real-time plus link-share? Or does a class only have a higher requirement than the real-time curve if the link-share curve is higher than the real-time curve (current link-share requirement equals specified link-share requirement minus real-time bandwidth already provided to this class)? Is upper limit curve applied to real-time as well, only to link-share, or maybe to both? Some tutorials say one way, some say the other way. Some even claim upper-limit is the maximum for real-time bandwidth + link-share bandwidth? What is the truth? Assuming A2 and B2 are both 128 kbit/s, does it make any difference if A1 and B1 are 128 kbit/s link-share only, or 64 kbit/s real-time and 128 kbit/s link-share, and if so, what difference? If I use the seperate real-time curve to increase priorities of classes, why would I need "curves" at all? Why is not real-time a flat value and link-share also a flat value? Why are both curves? The need for curves is clear in the original paper, because there is only one attribute of that kind per class. But now, having three attributes (real-time, link-share, and upper-limit) what for do I still need curves on each one? Why would I want the curves shape (not average bandwidth, but their slopes) to be different for real-time and link-share traffic? According to the little documentation available, real-time curve values are totally ignored for inner classes (class A and B), they are only applied to leaf classes (A1, A2, B1, B2). If that is true, why does the ALTQ HFSC sample configuration (search for 3.3 Sample configuration) set real-time curves on inner classes and claims that those set the guaranteed rate of those inner classes? Isn't that completely pointless? (note: pshare sets the link-share curve in ALTQ and grate the real-time curve; you can see this in the paragraph above the sample configuration). Some tutorials say the sum of all real-time curves may not be higher than 80% of the line speed, others say it must not be higher than 70% of the line speed. Which one is right or are they maybe both wrong? One tutorial said you shall forget all the theory. No matter how things really work (schedulers and bandwidth distribution), imagine the three curves according to the following "simplified mind model": real-time is the guaranteed bandwidth that this class will always get. link-share is the bandwidth that this class wants to become fully satisfied, but satisfaction cannot be guaranteed. In case there is excess bandwidth, the class might even get offered more bandwidth than necessary to become satisfied, but it may never use more than upper-limit says. For all this to work, the sum of all real-time bandwidths may not be above xx% of the line speed (see question above, the percentage varies). Question: Is this more or less accurate or a total misunderstanding of HSFC? And if assumption above is really accurate, where is prioritization in that model? E.g. every class might have a real-time bandwidth (guaranteed), a link-share bandwidth (not guaranteed) and an maybe an upper-limit, but still some classes have higher priority needs than other classes. In that case I must still prioritize somehow, even among real-time traffic of those classes. Would I prioritize by the slope of the curves? And if so, which curve? The real-time curve? The link-share curve? The upper-limit curve? All of them? Would I give all of them the same slope or each a different one and how to find out the right slope? I still haven't lost hope that there exists at least a hand full of people in this world that really understood HFSC and are able to answer all these questions accurately. And doing so without contradicting each other in the answers would be really nice ;-)

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  • Does anyone really understand how HFSC scheduling in Linux/BSD works?

    - by Mecki
    I read the original SIGCOMM '97 PostScript paper about HFSC, it is very technically, but I understand the basic concept. Instead of giving a linear service curve (as with pretty much every other scheduling algorithm), you can specify a convex or concave service curve and thus it is possible to decouple bandwidth and delay. However, even though this paper mentions to kind of scheduling algorithms being used (real-time and link-share), it always only mentions ONE curve per scheduling class (the decoupling is done by specifying this curve, only one curve is needed for that). Now HFSC has been implemented for BSD (OpenBSD, FreeBSD, etc.) using the ALTQ scheduling framework and it has been implemented Linux using the TC scheduling framework (part of iproute2). Both implementations added two additional service curves, that were NOT in the original paper! A real-time service curve and an upper-limit service curve. Again, please note that the original paper mentions two scheduling algorithms (real-time and link-share), but in that paper both work with one single service curve. There never have been two independent service curves for either one as you currently find in BSD and Linux. Even worse, some version of ALTQ seems to add an additional queue priority to HSFC (there is no such thing as priority in the original paper either). I found several BSD HowTo's mentioning this priority setting (even though the man page of the latest ALTQ release knows no such parameter for HSFC, so officially it does not even exist). This all makes the HFSC scheduling even more complex than the algorithm described in the original paper and there are tons of tutorials on the Internet that often contradict each other, one claiming the opposite of the other one. This is probably the main reason why nobody really seems to understand how HFSC scheduling really works. Before I can ask my questions, we need a sample setup of some kind. I'll use a very simple one as seen in the image below: Here are some questions I cannot answer because the tutorials contradict each other: What for do I need a real-time curve at all? Assuming A1, A2, B1, B2 are all 128 kbit/s link-share (no real-time curve for either one), then each of those will get 128 kbit/s if the root has 512 kbit/s to distribute (and A and B are both 256 kbit/s of course), right? Why would I additionally give A1 and B1 a real-time curve with 128 kbit/s? What would this be good for? To give those two a higher priority? According to original paper I can give them a higher priority by using a curve, that's what HFSC is all about after all. By giving both classes a curve of [256kbit/s 20ms 128kbit/s] both have twice the priority than A2 and B2 automatically (still only getting 128 kbit/s on average) Does the real-time bandwidth count towards the link-share bandwidth? E.g. if A1 and B1 both only have 64kbit/s real-time and 64kbit/s link-share bandwidth, does that mean once they are served 64kbit/s via real-time, their link-share requirement is satisfied as well (they might get excess bandwidth, but lets ignore that for a second) or does that mean they get another 64 kbit/s via link-share? So does each class has a bandwidth "requirement" of real-time plus link-share? Or does a class only have a higher requirement than the real-time curve if the link-share curve is higher than the real-time curve (current link-share requirement equals specified link-share requirement minus real-time bandwidth already provided to this class)? Is upper limit curve applied to real-time as well, only to link-share, or maybe to both? Some tutorials say one way, some say the other way. Some even claim upper-limit is the maximum for real-time bandwidth + link-share bandwidth? What is the truth? Assuming A2 and B2 are both 128 kbit/s, does it make any difference if A1 and B1 are 128 kbit/s link-share only, or 64 kbit/s real-time and 128 kbit/s link-share, and if so, what difference? If I use the seperate real-time curve to increase priorities of classes, why would I need "curves" at all? Why is not real-time a flat value and link-share also a flat value? Why are both curves? The need for curves is clear in the original paper, because there is only one attribute of that kind per class. But now, having three attributes (real-time, link-share, and upper-limit) what for do I still need curves on each one? Why would I want the curves shape (not average bandwidth, but their slopes) to be different for real-time and link-share traffic? According to the little documentation available, real-time curve values are totally ignored for inner classes (class A and B), they are only applied to leaf classes (A1, A2, B1, B2). If that is true, why does the ALTQ HFSC sample configuration (search for 3.3 Sample configuration) set real-time curves on inner classes and claims that those set the guaranteed rate of those inner classes? Isn't that completely pointless? (note: pshare sets the link-share curve in ALTQ and grate the real-time curve; you can see this in the paragraph above the sample configuration). Some tutorials say the sum of all real-time curves may not be higher than 80% of the line speed, others say it must not be higher than 70% of the line speed. Which one is right or are they maybe both wrong? One tutorial said you shall forget all the theory. No matter how things really work (schedulers and bandwidth distribution), imagine the three curves according to the following "simplified mind model": real-time is the guaranteed bandwidth that this class will always get. link-share is the bandwidth that this class wants to become fully satisfied, but satisfaction cannot be guaranteed. In case there is excess bandwidth, the class might even get offered more bandwidth than necessary to become satisfied, but it may never use more than upper-limit says. For all this to work, the sum of all real-time bandwidths may not be above xx% of the line speed (see question above, the percentage varies). Question: Is this more or less accurate or a total misunderstanding of HSFC? And if assumption above is really accurate, where is prioritization in that model? E.g. every class might have a real-time bandwidth (guaranteed), a link-share bandwidth (not guaranteed) and an maybe an upper-limit, but still some classes have higher priority needs than other classes. In that case I must still prioritize somehow, even among real-time traffic of those classes. Would I prioritize by the slope of the curves? And if so, which curve? The real-time curve? The link-share curve? The upper-limit curve? All of them? Would I give all of them the same slope or each a different one and how to find out the right slope? I still haven't lost hope that there exists at least a hand full of people in this world that really understood HFSC and are able to answer all these questions accurately. And doing so without contradicting each other in the answers would be really nice ;-)

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  • What is the maximum distance from an anchor point to a bezier curve?

    - by drawnonward
    Given a cubic bezier curve P0,P1,P2,P3 with the following properties: • Both P1 and P2 are on the same side of the line formed by P0 and P3. • P2 can be projected onto the line segment formed by P0 and P3 but P1 cannot. What is the T value for the point on the curve farthest from P3? Here is an image with an example curve. The curve bulges on the left, so there is a point on the curve farther from P3 than P0. I found this reference for finding the minimum distance from an arbitrary point to a curve. Is trial and error the only way to solve for maximum distance as well? Does it make any difference that the point is an anchor on the curve? Thanks

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  • setTitle displays black background in Blackberry Bold

    - by SWATI
    hey i have made an application for BlackBerry Curve 8300 where i use setTitle() i have put in an image as background for setTitle() It works perfectly fine on curve simulator but when i deploy this app on bold(device and simulator both) for testing the setTitle() shows black background. i dont have curve device to test n check can any body suggest what could be the problem

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  • Align objects to curve with canvas

    - by mitjak
    Is it possible? I'm learning canvas at the moment, and while it's fun to position objects programmatically, it would be most interesting to come up with a way to align them to a curve. E.g. align a series of squares back to back along a wavy line or a circle.

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  • draw a curve Sketchup using ruby

    - by David
    Below are some point 3d 15.733798,20.019757,23.006311 15.733798,19.847666,23.006311 15.723798,19.847666,23.006311 15.723798,20.019757,23.006311 15.733798,20.019757,23.006311 and this is a vector 0.0,0.0,-0.1 Is it possible to draw a curve from the information above in sketchup? Thank you

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  • Matlab: plotting frequency distribution with a curve

    - by Kaly
    I have to plot 10 frequency distributions on one graph. In order to keep things tidy, I would like to avoid making a histogram with bins and would prefer having lines that follow the contour of each histogram plot. I tried the following [counts, bins] = hist(data); plot(bins, counts) But this gives me a very inexact and jagged line. I read about ksdensity, which gives me a nice curve, but it changes the scaling of my y-axis and I need to be able to read the frequencies from the y-axis. Can you recommend anything else?

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  • Best fit curve for trend line

    - by Dave Jarvis
    Problem Constraints Size of the data set, but not the data itself, is known. Data set grows by one data point at a time. Trend line is graphed one data point at a time (using a spline/Bezier curve). Graphs The collage below shows data sets with reasonably accurate trend lines: The graphs are: Upper-left. By hour, with ~24 data points. Upper-right. By day for one year, with ~365 data points. Lower-left. By week for one year, with ~52 data points. Lower-right. By month for one year, with ~12 data points. User Inputs The user can select: the type of time series (hourly, daily, monthly, quarterly, annual); and the start and end dates for the time series. For example, the user could select a daily report for 30 days in June. Trend Weight To calculate the window size (i.e., the number of data points to average when calculating the trend line), the following expression is used: data points / trend weight Where data points is derived from user inputs and trend weight is 6.4. Even though a trend weight of 6.4 produces good fits, it is rather arbitrary, and might not be appropriate for different user inputs. Question How should trend weight be calculated given the constraints of this problem?

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  • Is it reasonable to expect knowing the whole stack bottom up?

    - by Vaibhav Garg
    I am an Sr. developer/architect/Product Manager for embedded systems. The systems that I have had experience with have typically been small to medium size codebases - typically close to 25-30K LOC in C, using 8-16 and 32 bit low end microcontrollers. The systems have been entirely bootstrapped by our team - meaning right from the start-up code to the end application code has either been written by the team, or at the very least, is thoroughly understood and maintained by us. Now, if we were to start developing more complex systems with complex peripherals, such as USB OTG et al. (think, low end cell phones), there are libraries and stacks available commercially and from chip vendors that reduce the task to just calling the right APIs and being able to use those peripherals. Now, from a habit point of view, this does not give me and the team a comfortable feeling, not being able to comprehend the entire code tree, with virtual black boxes at the lower layers. Is it reasonable to devote, and reserve, time getting into the details of how the APIs are implemented, assuming that the same would also entail getting into details of relevant standards (again, for USB as an example)? Or, alternatively, should a thorough understanding of the top level usage of the APIs be sufficient? This of course assumes that the source codes to all libraries are available, which they are, in almost all cases. Edit: In partial response to @Abhi Beckert, the documentation is refreshingly very comprehensive and meticulously maintained, AFAIK and been able to judge. I have not had a long experience with the same.

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  • Junior software developer - How to understand web applications in depth?

    - by nat_gr
    I am currently a junior developer in web applications and specifically in ASP.NET MVC technology. My problem is that the C# senior developer in the company has no experience with this technology and I try to learn without any guidance. I went through all tutorials (e.g music store), codeplex projects and also read Pro ASP.NET MVC 4. However, most of the examples are about CRUD and e-commerce applications. What I don't understand is how dependency injection fits in web applications (I have realized that is not only used for facilitating unit testing) or when I should use a custom model binder or how to model the business logic when there is already a database schema in place. I read the forum quite often and it would very helpful if some experienced developer could give me an insight about how to proceed. Do I need to read some books to understand the overall idea behind web applications? And what kind of application should I start building myself - I don't think it would be useful to create similar examples with the tutorials.

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  • How can I start the right way from the beginning in learning web development?

    - by Steve
    Well, I know I have to learn many things such as HTML, JavaScript, CSS, PHP, ASP.NET, SQL, etc. However, I don't know if I start, for example, learning ASP.NET before I learn HTML and CSS then would I say in the near future that it was better for me if i start learning another thing earlier so I don't need to come back and learn it now! You guys, who have the experience in web development, know after you have reached what you are now how should the right start be! So, can you tell me how?

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  • How to shorten brain context switch delay when need to use new technology\framework?

    - by gasan
    The problem is when I have to deal with a new framework\library\language it completely slows my work process, at first it's kind of shock, you're sitting on your place about a day doing nothing surfing the net, because you simply can't do anything even read docs, then, on the second day I realize that I definitely should do something and starting read about it, then I realize that I don't understand it, then I'm reading until I got feeling that I should show some results immediately and then I'm writing the code quite fast and the job doesn't seem to be difficult. Then job is done and I won't probably return to that technology\framework for a month or a year or never at all. And I will almost certainly forget almost everything about it after a month. To illustrate by checkpoints I experience: shock, long studying times, work with the new tech briefly, never use it afterwards, then I completely forget it. So what would be the solution here?

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  • Junior software developer - How to understand web aplications in depth?

    - by nat_gr
    I am currently a junior developer in web applications and specifically in asp.net mvc technology. My problem is that the c# senior developer in the company has no experience with this technology and I try to learn without any guidance. I went through all tutorials (e.g music store), codeplex projects and also read pro asp.net mvc 4. However, most of the examples are about crud and e-commerce applications. What I don't understand is how dependency injection fits in web applications (I have realized that is not only used for facilitating unit testing) or when i should use a custom model binder or how to model the business logic when there is already a database schema in place. I read the forum quite often and it would very helpful if some experienced developers could give me an insight about how to proceed. Do I need to read some books to understand the overall idea behind web applications? And what kind of application should I start building myself - I don't think it would be useful to create similar examples with the tutorials.

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  • Learn programming backwards, or "so I failed the FizzBuzz test. Now what?"

    - by moraleida
    A Little Background I'm 28 today, and I've never had any formal training in software development, but I do have two higher education degrees equivalent to a B.A in Public Relations and an Executive MBA focused on Project Management. I've worked on those fields for about 6 years total an then, 2,5 years ago I quit/lost my job and decided to shift directions. After a month thinking things through I decided to start freelancing developing small websites in WordPress. I self-learned my way into it and today I can say I run a humble but successful career developing themes and plugins from scratch for my clients - mostly agencies outsourcing some of their dev work for medium/large websites. But sometimes I just feel that not having studied enough math, or not having a formal understanding of things really holds me behind when I have to compete or work with more experienced developers. I'm constantly looking for ways to learn more but I seem to lack the basics. Unfortunately, spending 4 more years in Computer Science is not an option right now, so I'm trying to learn all I can from books and online resources. This method is never going to have NASA employ me but I really don't care right now. My goal is to first pass the bar and to be able to call myself a real programmer. I'm currently spending my spare time studying Java For Programmers (to get a hold on a language everyone says is difficult/demanding), reading excerpts of Code Complete (to get hold of best practices) and also Code: The Hidden Language of Computer Hardware and Software (to grasp the inner workings of computers). TL;DR So, my current situation is this: I'm basically capable of writing any complete system in PHP (with the help of Google and a few books), integrating Ajax, SQL and whatnot, and maybe a little slower than an experienced dev would expect due to all the research involved. But I was stranded yesterday trying to figure out (not Google) a solution for the FizzBuzz test because I didn't have the if($n1 % $n2 == 0) method modulus operator memorized. What would you suggest as a good way to solve this dilemma? What subjects/books should I study that would get me solving problems faster and maybe more "in a programmers way"? EDIT - Seems that there was some confusion about what did I not know to solve FizzBuzz. Maybe I didn't express myself right: I knew the steps needed to solve the problem. What I didn't memorize was the modulus operator. The problem was in transposing basic math to the program, not in knowing basic math. I took the test for fun, after reading about it on Coding Horror. I just decided it was a good base-comparison line between me and formally-trained devs. I just used this as an example of how not having dealt with math in a computer environment before makes me lose time looking up basic things like modulus operators to be able to solve simple problems.

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  • Reaching Intermediate Programming Status

    - by George Stocker
    I am a software engineer that's had positions programming in VBA (though I dare not consider that 'real' experience, as it was trial and error!), Perl w/ CGI, C#, and ASP.NET. The latter two are post-undergraduate, with my entrance into the 'real world'. I'm 2 years out of college, and have had 5 years of experience (total) across the languages I've mentioned. However, when it comes to my resume, I can only put 2 years down for C#, and less than a year down for ASP.NET. I feel like I know C#, but I still have to spend time going 'What does this method do?', whereas some of the more senior level engineers can immediately say, "Oh, Method X does this, without ever having looked at that method before." So I know empirically that there's a gulf there, but I'm not exactly sure how to bridge it. I've started programming in Project Euler, and I picked up a book on design patterns, but I still feel like I spend each day treading water, instead of moving forward. That isn't to say that I don't feel like I've made progress, it just means that as far as I come each day, I still see the mountain top way off in the distance. My question is this: How did you overcome this plateau? How long did it take you? What methods can you suggest to assist me in this? I've read through Code Complete, The Mythical Man Month, and CLR via C#, 2nd edition -- my question is: What do I do now? Edit: I just found this question on projects for an intermediate level programmer. I think it adds to the discussion (though it does not supplant my question). As such, I'm adding it to the question as a "For More Information".

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  • Am I bored with programming? [closed]

    - by user1167074
    I have started programming 2 years back and I have learnt web programming while working for big corporate companies. I was very passionate and I even did couple of side projects which were well appreciated by my friends and colleagues. But for the past 2 months I am not doing anything really interesting with programming, even if I get good ideas I am not feeling like coding, sub consciously I am feeling like "So What?" if I do this project. I would like to know from the more experienced programmers if this is just a phase or am I really missing something? Thanks

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  • "Half of everything you know will be obsolete in 18-24 months" = ( True, or False? )

    - by blunders
    Just ran across this, and wondering if anyone has a way to prove or disprove this statement: Something to keep in mind ... what's the half-life of knowledge in high tech? It tracks with Moore's Law: half of everything you know will be obsolete in 18-24 months. SOURCE: Within answer by Craig Trader to this question "What is the single most effective thing you did to improve your programming skills?"

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  • How to attend one off lectures? [closed]

    - by Senthil Kumaran
    Many times, we come across one-off lectures from famous Computer Scientists. Last year, I came across one by Ms. Barbara Liskov, but I could not go because the University Hall was bit far. Tomorrow, there is one by Dr. Knuth! Now the problem I am facing is, "I don't know much about the material he is going to talk", so I am not sure if I should plan and I fear it will be like going for a "temple". :) What is your advise and general strategy that you have followed whenever you wanted to attend a talk or lecture wherein, it may have been worthwhile if it were an introductory tutorial, but instead you were sitting in an advanced 1 hour lecture by a famous scientist.

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