though 99 of us work twice. We are called bullies for using a Taser during a fight, but are condemned further for not first tasing the guy who pulls a gun. Moms hate us in their schools because we frighten them and remind them of the evil that lurks in the world. Relying on intelligence alone to pull things off at the last minute may work for a while, but, generally speaking, at the graduate level or higher it doesnt. We represent a Police State where jackbooted badge-wearing thugs randomly attack innocent people without cause or concern for constitutional rights. (See also learn and relearn your field.) It would be very pleasant if one could just dream up the grand ideas and let some lesser mortals fill in the details, but, trust me, it doesnt work like that at all in mathematics; past experience has. If we do get lucky it was just that and everyone with a Facebook account can post wonderful comments of how they would solve the case and how we are not nearly as clever. Bullhorn, Hot News, october 13, 2014March 31, 2015, aPB Team.
Once you have experienced it, you are eager to repeat it but unable to do it at will, unless perhaps by dogged work andré Weil, The Apprenticeship of a Mathematician). Generally speaking, it is better to try to arrange a few hours of high-quality working time, when one is motivated, energetic, prepared, and free from distraction, than to try to cram into ones schedule a large number of hours of low-quality working time when one. To steal verus earn.
Of course, to work hard, it really helps if you enjoy your work. To never accept responsibility for ones actions, but to blame everyone else instead of themselves. There are also times when one realises that a project is simply too much to handle at the present time, and it then makes sense to modify ones goals for the project, or shelve it and work on another project instead: see be flexible and. In short, there is no royal road to mathematics; to get to the post-rigorous stage in which your intuition matches well with what one can establish rigorously, one has to first invest real effort in learning and relearning the field, learning the strengths and weaknesses. See also this" of Ira Glass on the hard work needed to bridge the gap between low-quality and high-quality creative output. We try to take away their guns, freedoms, and liberty at every turn. Daniel Furseth is a lieutenant with the DeForest, Wisconsin Police Department.
I apologize for the following longish comment, but I find that while Work Hard is, prima facie, good advice, it is also too simplistic to be helpful.
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