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	<title>Comments for MAA-BIH ORG</title>
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	<description>Mathematics beyond challenging</description>
	<pubDate>Tue, 09 Mar 2010 23:47:11 +0000</pubDate>
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		<title>Comment on Are many in the Physics community too quick to embrace M-theory as the much sought after T.O.E? by jj_33_6</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-798</link>
		<dc:creator>jj_33_6</dc:creator>
		<pubDate>Thu, 25 Jun 2009 13:22:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-798</guid>
		<description>11 dimensional string theory, (and 26 dimensional M theory), has not produced anything. 

It is possible that the extra 7 dimensions of space in string theory, (that are not perceived), are mathematical deception. This mathematical deception first appeared with 5 dimensional Kaluza-Klein Theory. 

String theory is possibly deception, derived from adding dimensions of space to the already existing 3 dimensions of space one dimension at a time at 90 degree angles to the previous dimension. 

That string theory is possibly invalid is stated at the end of the wikipedia article on string theory.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>11 dimensional string theory, (and 26 dimensional M theory), has not produced anything. </p>
<p>It is possible that the extra 7 dimensions of space in string theory, (that are not perceived), are mathematical deception. This mathematical deception first appeared with 5 dimensional Kaluza-Klein Theory. </p>
<p>String theory is possibly deception, derived from adding dimensions of space to the already existing 3 dimensions of space one dimension at a time at 90 degree angles to the previous dimension. </p>
<p>That string theory is possibly invalid is stated at the end of the wikipedia article on string theory.<br /><b>References : </b></p>
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		<title>Comment on Are many in the Physics community too quick to embrace M-theory as the much sought after T.O.E? by supastremph</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-797</link>
		<dc:creator>supastremph</dc:creator>
		<pubDate>Thu, 25 Jun 2009 12:39:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-797</guid>
		<description>Yes.   . . . You mean you can take a 42 or more parameter theory and fit it to experimental data?!  *Gasps*  The truth is, with all the different possible versions, string theories could account for the spontaneous generation of elephants, yet they produce few new PREDICTIONS.  It&#39;s a mathematical juggernaut that has been used to try and mesh relativity and quantum--yet, having accomplished this, it&#39;s not really that much more useful than using relativity or quantum.  Quantum field theory so far I think is the best theory created by humans.  We&#39;ll find out when the new accelerators are built . . .&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>Yes.   . . . You mean you can take a 42 or more parameter theory and fit it to experimental data?!  *Gasps*  The truth is, with all the different possible versions, string theories could account for the spontaneous generation of elephants, yet they produce few new PREDICTIONS.  It&#39;s a mathematical juggernaut that has been used to try and mesh relativity and quantum&#8211;yet, having accomplished this, it&#39;s not really that much more useful than using relativity or quantum.  Quantum field theory so far I think is the best theory created by humans.  We&#39;ll find out when the new accelerators are built . . .<br /><b>References : </b></p>
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		<title>Comment on Are many in the Physics community too quick to embrace M-theory as the much sought after T.O.E? by azred_tx</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-796</link>
		<dc:creator>azred_tx</dc:creator>
		<pubDate>Thu, 25 Jun 2009 11:57:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-796</guid>
		<description>Not everyone is jumping on board the M-theory wagon.  

Complexity of mathematical description does not equate to wrongness.

There is no way to test *any* cosmological hypothesis...unless you had a really big lab and billions of years of time on your hands.

If M-theory explains things more efficiently than other theories, what&#39;s the problem?  If someone proves that it is incorrect or inaccurate, then it will be discarded for the better explanation.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>Not everyone is jumping on board the M-theory wagon.  </p>
<p>Complexity of mathematical description does not equate to wrongness.</p>
<p>There is no way to test *any* cosmological hypothesis&#8230;unless you had a really big lab and billions of years of time on your hands.</p>
<p>If M-theory explains things more efficiently than other theories, what&#39;s the problem?  If someone proves that it is incorrect or inaccurate, then it will be discarded for the better explanation.<br /><b>References : </b></p>
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		<title>Comment on Are many in the Physics community too quick to embrace M-theory as the much sought after T.O.E? by physicsdude2014</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-795</link>
		<dc:creator>physicsdude2014</dc:creator>
		<pubDate>Thu, 25 Jun 2009 11:20:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-795</guid>
		<description>Well, just because it is vague does not mean it&#39;s not true...these things just have to be worked out over time and if things go well more and more will be theoretically proven and then testible and so on and so forth.  Yes string theory and these other theories are mathematically elegant but no that does not make them true at all...i don&#39;t remember the exact quote but a think a famous physicist richard feynman once said that we may be working on a 25th century theory that requires 25th century mathematics in the 21st century.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>Well, just because it is vague does not mean it&#39;s not true&#8230;these things just have to be worked out over time and if things go well more and more will be theoretically proven and then testible and so on and so forth.  Yes string theory and these other theories are mathematically elegant but no that does not make them true at all&#8230;i don&#39;t remember the exact quote but a think a famous physicist richard feynman once said that we may be working on a 25th century theory that requires 25th century mathematics in the 21st century.<br /><b>References : </b></p>
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		<title>Comment on Are many in the Physics community too quick to embrace M-theory as the much sought after T.O.E? by anna</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-794</link>
		<dc:creator>anna</dc:creator>
		<pubDate>Thu, 25 Jun 2009 10:59:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/are-many-in-the-physics-community-too-quick-to-embrace-m-theory-as-the-much-sought-after-toe#comment-794</guid>
		<description>Blimey mate, what&#39;s up ??????????? haven&#39;t got a clue what you&#39;re on about.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>Blimey mate, what&#39;s up ??????????? haven&#39;t got a clue what you&#39;re on about.<br /><b>References : </b></p>
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		<title>Comment on What is the McNabb competition in Texas? by Anita</title>
		<link>http://www.maa-bih.org/maths-competitions/what-is-the-mcnabb-competition-in-texas#comment-799</link>
		<dc:creator>Anita</dc:creator>
		<pubDate>Thu, 25 Jun 2009 10:49:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/maths-competitions/what-is-the-mcnabb-competition-in-texas#comment-799</guid>
		<description>The McNabb is the premier math contest for schools in the Metroplex. It is sponsored by the Dallas Council of Teachers of Mathematics and is named in memory of a long-time chair of math at St. Marks.  

In its most recent form, it consists of six level contests from pre-algebra through calculus, run in the fall and spring of each academic year.  Over 500 students and dozens of schools now participate.

Cistercian has a proud history of excellence in the McNabb, from its inception when Cistercian won the first team and individual contest, through the present, when in the past academic year, Cistercian captured 5 of the 12 team championships.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;http://www.cistercian.org/school/faculty/RNewcomb/mcnabb_team_results_fall_and_spr19992000.htm</description>
		<content:encoded><![CDATA[<p>The McNabb is the premier math contest for schools in the Metroplex. It is sponsored by the Dallas Council of Teachers of Mathematics and is named in memory of a long-time chair of math at St. Marks.  </p>
<p>In its most recent form, it consists of six level contests from pre-algebra through calculus, run in the fall and spring of each academic year.  Over 500 students and dozens of schools now participate.</p>
<p>Cistercian has a proud history of excellence in the McNabb, from its inception when Cistercian won the first team and individual contest, through the present, when in the past academic year, Cistercian captured 5 of the 12 team championships.<br /><b>References : </b><br /><a href="http://www.cistercian.org/school/faculty/RNewcomb/mcnabb_team_results_fall_and_spr19992000.htm" rel="nofollow">http://www.cistercian.org/school/faculty/RNewcomb/mcnabb_team_results_fall_and_spr19992000.htm</a></p>
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		<title>Comment on Math Help : How to Learn Math Fast by junbugvsl13</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/math-help-how-to-learn-math-fast#comment-793</link>
		<dc:creator>junbugvsl13</dc:creator>
		<pubDate>Mon, 22 Jun 2009 22:28:18 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/math-help-how-to-learn-math-fast#comment-793</guid>
		<description>&lt;b&gt;this is gonna make ...&lt;/b&gt; &lt;br&gt; this is gonna make me better!!! thnx!!!!</description>
		<content:encoded><![CDATA[<p><b>this is gonna make &#8230;</b> <br /> this is gonna make me better!!! thnx!!!!</p>
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		<title>Comment on What is the relationship between Calculus and Physics? by qspeechc</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/what-is-the-relationship-between-calculus-and-physics#comment-790</link>
		<dc:creator>qspeechc</dc:creator>
		<pubDate>Mon, 22 Jun 2009 12:07:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/what-is-the-relationship-between-calculus-and-physics#comment-790</guid>
		<description>It just so happens in our universe that the universe can be explained and understood in terms of mathematics. Why this should be the case, nobody knows- that is a meta-physical question. Perhaps we humans need something like mathematics to help us understand the universe, we have used mathematics to analyse, axplain and understand the universe. Or maybe there is a more fundamental connection. Maybe &#34;Mother Nature&#34; is a mathematician...

Acceleration doesn&#39;t need to be taught in calculus. A calculus course could be completely abstract, without reference to the real world. But, calculus has found an extremely wide range of application, so it makes sense to bring in the applications in a calculus course, not least because those taking the course may want to apply to real world problems (physicists, engineers, even business men), but it also helps heuristically if it relates to the real world, things that are tangible and &#39;knowable&#39;.
That is to say, calculus does not depend on physics. Calculus to be completely abstract. But it is quite unlikely that physics would have gotten far without calculus. Just about every branch of physics can be dealt with within the framework of calculus- dynamics, kinematics, hydraulics...- you name it. Some topics in physics would even be impossible without calculus, such as variable acceleration. Even in quantum mechanics, where (almost) everything is discrete, calculus plays an important role.
But, one could say that certain physics problems which required an analysis with calculus, sort of spurred on the developement of calculus, in a similar way that engineering problems pushed physics forward (think Fourier Series etc.).

Why does calculus find so much application in physics? Calculus basically deals with infinitesimal changes- changes that are not zero, but smaller than any imaginable real number. In physics (reality) the universe operates with infinitesimal changes. So calculus (specifically, infinitesimal calculus) works splenidly with the real world where things can be analysed infinitesimally. And such infinitesimal analyses covers the (usual) situation where the quantity in question is not constant, or not even changing at a constant rate, which would not be possible without calculus.
And that would explain why calculus and physics are difficult. Calculus requires thinking about infinitesimal changes, which sound quite contradictory and mind-boggling. Calculus is unlike any other branch in mathematics. Also, physics requires a sort of &#34;visualisation&#34; and intuition about physical reality. 
One must also remember that the topics covered in one physics or calculus course (at university) may have taken thinkers and scientists centuries, and even millenia, to come to grips with, and all that thought is condensed into a semester or one year. 

It makes you think....&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;Me</description>
		<content:encoded><![CDATA[<p>It just so happens in our universe that the universe can be explained and understood in terms of mathematics. Why this should be the case, nobody knows- that is a meta-physical question. Perhaps we humans need something like mathematics to help us understand the universe, we have used mathematics to analyse, axplain and understand the universe. Or maybe there is a more fundamental connection. Maybe &quot;Mother Nature&quot; is a mathematician&#8230;</p>
<p>Acceleration doesn&#39;t need to be taught in calculus. A calculus course could be completely abstract, without reference to the real world. But, calculus has found an extremely wide range of application, so it makes sense to bring in the applications in a calculus course, not least because those taking the course may want to apply to real world problems (physicists, engineers, even business men), but it also helps heuristically if it relates to the real world, things that are tangible and &#39;knowable&#39;.<br />
That is to say, calculus does not depend on physics. Calculus to be completely abstract. But it is quite unlikely that physics would have gotten far without calculus. Just about every branch of physics can be dealt with within the framework of calculus- dynamics, kinematics, hydraulics&#8230;- you name it. Some topics in physics would even be impossible without calculus, such as variable acceleration. Even in quantum mechanics, where (almost) everything is discrete, calculus plays an important role.<br />
But, one could say that certain physics problems which required an analysis with calculus, sort of spurred on the developement of calculus, in a similar way that engineering problems pushed physics forward (think Fourier Series etc.).</p>
<p>Why does calculus find so much application in physics? Calculus basically deals with infinitesimal changes- changes that are not zero, but smaller than any imaginable real number. In physics (reality) the universe operates with infinitesimal changes. So calculus (specifically, infinitesimal calculus) works splenidly with the real world where things can be analysed infinitesimally. And such infinitesimal analyses covers the (usual) situation where the quantity in question is not constant, or not even changing at a constant rate, which would not be possible without calculus.<br />
And that would explain why calculus and physics are difficult. Calculus requires thinking about infinitesimal changes, which sound quite contradictory and mind-boggling. Calculus is unlike any other branch in mathematics. Also, physics requires a sort of &quot;visualisation&quot; and intuition about physical reality.<br />
One must also remember that the topics covered in one physics or calculus course (at university) may have taken thinkers and scientists centuries, and even millenia, to come to grips with, and all that thought is condensed into a semester or one year. </p>
<p>It makes you think&#8230;.<br /><b>References : </b><br />Me</p>
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		<title>Comment on What is the relationship between Calculus and Physics? by Swapan G</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/what-is-the-relationship-between-calculus-and-physics#comment-789</link>
		<dc:creator>Swapan G</dc:creator>
		<pubDate>Mon, 22 Jun 2009 11:25:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/what-is-the-relationship-between-calculus-and-physics#comment-789</guid>
		<description>ANSWER TO ALL THOSE ASKED AND NOT ASKED QUESTIONS  as  FOLLOWS :

PHYSICS , LIKE ALL OTHER SCIENCE SUBJECT,  IS BASED ON REASONING  OF CAUSE AND EFFECT OF NATURAL  PHENOMENON  . THE REASONING IS BEST EXPLAINED BY MATHEMATICAL PRINCIPLES .  MATHEMATICS AGAIN IS BASED ON PHILOSOPHICAL TRUTHS FORMULATED IN  NUMBERS.
SOME NUMBERS  ARE DESCRETE AND  WE USE THEM IN OUR DAY TO DAY LIFE AND EASILY UNDERSTOOD   .  TRANSITION OF ONE NUMER TO ANOTHER  IS EXPLAINED BY DECIMALS. FOR FINER TRANSITION WE NEED SOME CONTINUOS FUNCTION WHICH MAY REPRESENT CONTINUITY OF NATURAL PHENOMENON  AT ANY TIME INSTANT .  CALCULUS DEALS WITH SUCH  FUNCTIONS OF VARIABLES  ANALYTICALLY .
 SOME PERSONS ARE GOOD WITH REAL DIGITAL MATHEMATICS BUT NOT SO COMFORTABLE WITH  ANALYTICAL ONE JUST LIKE SOME  ARE GOOD AS  SCIENTISTS , SOME ARE BETTER AS  BUSSINESSMAN. 
Those with analytical bend of mind will be more comfortable with calculus and physics  among  intelligent student community.&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>ANSWER TO ALL THOSE ASKED AND NOT ASKED QUESTIONS  as  FOLLOWS :</p>
<p>PHYSICS , LIKE ALL OTHER SCIENCE SUBJECT,  IS BASED ON REASONING  OF CAUSE AND EFFECT OF NATURAL  PHENOMENON  . THE REASONING IS BEST EXPLAINED BY MATHEMATICAL PRINCIPLES .  MATHEMATICS AGAIN IS BASED ON PHILOSOPHICAL TRUTHS FORMULATED IN  NUMBERS.<br />
SOME NUMBERS  ARE DESCRETE AND  WE USE THEM IN OUR DAY TO DAY LIFE AND EASILY UNDERSTOOD   .  TRANSITION OF ONE NUMER TO ANOTHER  IS EXPLAINED BY DECIMALS. FOR FINER TRANSITION WE NEED SOME CONTINUOS FUNCTION WHICH MAY REPRESENT CONTINUITY OF NATURAL PHENOMENON  AT ANY TIME INSTANT .  CALCULUS DEALS WITH SUCH  FUNCTIONS OF VARIABLES  ANALYTICALLY .<br />
 SOME PERSONS ARE GOOD WITH REAL DIGITAL MATHEMATICS BUT NOT SO COMFORTABLE WITH  ANALYTICAL ONE JUST LIKE SOME  ARE GOOD AS  SCIENTISTS , SOME ARE BETTER AS  BUSSINESSMAN.<br />
Those with analytical bend of mind will be more comfortable with calculus and physics  among  intelligent student community.<br /><b>References : </b></p>
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		<title>Comment on What is the relationship between Calculus and Physics? by Lubricated Shafer</title>
		<link>http://www.maa-bih.org/difficult-mathematics-problems/what-is-the-relationship-between-calculus-and-physics#comment-788</link>
		<dc:creator>Lubricated Shafer</dc:creator>
		<pubDate>Mon, 22 Jun 2009 10:56:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.maa-bih.org/difficult-mathematics-problems/what-is-the-relationship-between-calculus-and-physics#comment-788</guid>
		<description>s = x

v = d (s) / dt

a = d (v) / dt

v = rate of change of position, with respect to time

accel = rate of change of vel., with respect to time

These are concepts which are easy to understand. 
It&#39;s applying mathematical formulation to physical scenarios in the real world that i find difficult. Hence your question I suppose&lt;br&gt;&lt;b&gt;References : &lt;/b&gt;&lt;br&gt;</description>
		<content:encoded><![CDATA[<p>s = x</p>
<p>v = d (s) / dt</p>
<p>a = d (v) / dt</p>
<p>v = rate of change of position, with respect to time</p>
<p>accel = rate of change of vel., with respect to time</p>
<p>These are concepts which are easy to understand.<br />
It&#39;s applying mathematical formulation to physical scenarios in the real world that i find difficult. Hence your question I suppose<br /><b>References : </b></p>
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