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Math, physics, education, and more.Wed, 02 May 2018 23:55:23 +0000hourly1http://wordpress.com/Comment on Why Radian Measure Makes Life Easier In Mathematics And Physics by Rodney
https://qedinsight.wordpress.com/2011/03/14/why-radian-measure-makes-life-easier-in-mathematics-and-physics/#comment-2775
Wed, 02 May 2018 23:55:23 +0000http://qedinsight.wordpress.com/?p=774#comment-2775You can also define angle by the area of the sector by saying by using r^2 as a unit of measure. To find the angle you can just divide the area swept out by the angle you are measuring by r^2. You can use radius/2 as a unit which is half radians. It is totally arbitrary. I can divide the circle into 4 equal pieces and call each piece some made up name pegrees or something and use it as a measure of angle and 90 degrees would now be equal to 1 pegrees. Totally arbitrary. The whole point is that radians just give you cleaner looking mathematical results that is where the term naturalness comes from in regards to radians…And also the whole unit arc length is just to justify the naturalness of radians.. That is it. Dont get hung up on that.
]]>Comment on Why Radian Measure Makes Life Easier In Mathematics And Physics by Rodney
https://qedinsight.wordpress.com/2011/03/14/why-radian-measure-makes-life-easier-in-mathematics-and-physics/#comment-2774
Wed, 02 May 2018 23:47:37 +0000http://qedinsight.wordpress.com/?p=774#comment-2774From what I understand every arbitrary unit you use to measure angle requires the set of real numbers. It is just that you get different domains depending on the arbitrary unit you use to measure angle. And the important point is that they are all just as valid as the units of radians. However, radians just give you nicer looking mathematical results but it doesn’t mean the results you get from other arbitrary units are not valid. You will always have that pi/X factor where X depends on the arbitrary unit you use. To Songwhe Huh the choice of units dictates the form of the derivative of the sine and cosine not e. From your argument you assumed radians already for the euler formula and pretty much proved what you already assumed.
]]>Comment on The Field Concept in Physics by Alvaro F Feito
https://qedinsight.wordpress.com/2011/01/24/the-field-concept-in-physics/#comment-2772
Tue, 01 May 2018 23:12:37 +0000http://qedinsight.wordpress.com/?p=260#comment-2772Great introduction to the concept of the field. A little Update: Gravitational waves have finally been observed in 2017: https://www.ligo.caltech.edu/page/gravitational-waves
]]>Comment on When a metal ring is heated, does the hole expand, contract, or stay the same size? by Joshua Theo
https://qedinsight.wordpress.com/2011/01/01/when-a-metal-ring-is-heated-does-the-hole-expand-contract-or-stay-the-same-size/#comment-2644
Tue, 06 Mar 2018 10:18:29 +0000http://qedinsight.wordpress.com/?p=12#comment-2644This wasnt helpful
]]>Comment on A Neat Trick For Determining The Integrals Of exp(x) cos x And exp(x) sin x by mohsan ali
https://qedinsight.wordpress.com/2012/02/26/a-neat-trick-for-determining-the-integrals-of-expx-cos-x-and-expx-sin-x/#comment-2603
Thu, 04 Jan 2018 15:14:24 +0000http://qedinsight.wordpress.com/?p=1422#comment-2603how we solve integration of cost *exp(t) from 0 to infinity.. any direct formula is possible for that problem plzz answer it
]]>Comment on When a metal ring is heated, does the hole expand, contract, or stay the same size? by paderb
https://qedinsight.wordpress.com/2011/01/01/when-a-metal-ring-is-heated-does-the-hole-expand-contract-or-stay-the-same-size/#comment-2567
Sun, 17 Dec 2017 00:34:28 +0000http://qedinsight.wordpress.com/?p=12#comment-2567Santo, I believe that you are a genius in introducing this question that has kept so many minds working on it for such a long time.

I always look forward to each contribution.

]]>Comment on When a metal ring is heated, does the hole expand, contract, or stay the same size? by Leona Loller
https://qedinsight.wordpress.com/2011/01/01/when-a-metal-ring-is-heated-does-the-hole-expand-contract-or-stay-the-same-size/#comment-2566
Sat, 16 Dec 2017 22:33:06 +0000http://qedinsight.wordpress.com/?p=12#comment-2566I get what you explained; but, I have a question. If metal expands, why doesn’t it expand in both directions thus making the hole smaller, not larger? I know you are right because I have used the hot water method on canning jars. I just want to know why. Thanks
]]>Comment on When a metal ring is heated, does the hole expand, contract, or stay the same size? by Steve
https://qedinsight.wordpress.com/2011/01/01/when-a-metal-ring-is-heated-does-the-hole-expand-contract-or-stay-the-same-size/#comment-2547
Sun, 19 Nov 2017 23:09:29 +0000http://qedinsight.wordpress.com/?p=12#comment-2547Try this…Loctite 37424 640 High Strength Sleeve Retainer. This Loctite number 640, is designed for retaining bearings.
]]>Comment on When a metal ring is heated, does the hole expand, contract, or stay the same size? by Gary arrington
https://qedinsight.wordpress.com/2011/01/01/when-a-metal-ring-is-heated-does-the-hole-expand-contract-or-stay-the-same-size/#comment-2545
Sun, 19 Nov 2017 20:53:06 +0000http://qedinsight.wordpress.com/?p=12#comment-2545Looking for bearing and race to fit without a press
]]>Comment on A Practical Use For Logarithms, Part 2: How We Multiplied Large Numbers 40 Years Ago, And How Integral Transforms Use The Same Basic Idea by K Fleming
https://qedinsight.wordpress.com/2011/04/22/a-practical-use-for-logarithms-part-2-how-we-multiplied-large-numbers-40-years-ago-and-how-integral-transforms-use-the-same-basic-idea/#comment-2530
Fri, 10 Nov 2017 14:03:18 +0000http://qedinsight.wordpress.com/?p=972#comment-2530The ‘idea’ presented here isn’t one I ever picked up on, even remotely, in learning LaPlace and Fourier transforms. The ‘why’ of such transforms and in moving between time and frequency domains to solve engineering problems was lost on me. No one’s fault–but in playing with a sliderule last night, I found this page, and feel it opened a very wide door. Maybe in my 60s I’ll now be able to learn what I only managed to ‘crunch’ 4 decades ago. Thanks!
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