Jet53man at 20:56, 13 April 2022

2022-04-13T20:56:05Z

← Older revision		Revision as of 16:56, 13 April 2022
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	==Potentially Relevant Initial Links==		==Potentially Relevant Initial Links==

	* [[~~User:Tohline/~~H_BookTiledMenu#Tiled_Menu\|Tiled Menu]]		* [[H_BookTiledMenu#Tiled_Menu\|Tiled Menu]]
	* [[~~User:Tohline/~~ThreeDimensionalConfigurations/BinaryFission#Fission_Hypothesis_of_Binary_Star_Formation\|Fission Hypothesis of Binary Star Formation]]		* [[ThreeDimensionalConfigurations/BinaryFission#Fission_Hypothesis_of_Binary_Star_Formation\|Fission Hypothesis of Binary Star Formation]]
	* [[~~User:Tohline/~~ThreeDimensionalConfigurations/ChallengesPt2#COLLADA-Based_Representation\|COLLADA-based Representation of Riemann Type 1 Ellipsoid]]		* [[ThreeDimensionalConfigurations/ChallengesPt2#COLLADA-Based_Representation\|COLLADA-based Representation of Riemann Type 1 Ellipsoid]]

	==Challenges to Young, Applied Mathematicians==		==Challenges to Young, Applied Mathematicians==
	<font color="red">'''Note from J. E. Tohline to Students with Good Mathematical Skills'''</font>: The astronomy community's understanding of the ''Structure, Stability, and Dynamics'' of stars and galaxies would be strengthened if we had, in hand, closed-form analytic solutions to the following well-defined mathematical problems. (Solutions can be obtained ''numerically'' with relative ease, but here the challenge is to find a closed-form analytic solution.) As is true with most meaningful scientific research projects, it is not at all clear whether each of these problems ''has'' a solution. In my judgment, however, it seems plausible that a closed-form solution can be discovered in each case and such a solution would be of sufficient interest to the astronomical community that it would likely be publishable in a professional astronomy or physics journal. At the very least, each of these projects represents an opportunity for a graduate student, an undergraduate, or even a talented high-school student (perhaps in connection with a mathematics science fair project?) to hone her/his research skills in applied mathematics. Also, I would be thrilled to include a solution to any one of these problems — along with full credit to the solution's author — as a chapter in this online H_Book. Having retired from LSU, I am not in a position to financially support or formally advise students who are in pursuit of a higher-education degree. I would nevertheless be interested in sharing my expertise — and, perhaps, developing a collaborative relationship — with individuals who are interested in pursuing answers to the questions posed by this identified set of problems.		<font color="red">'''Note from J. E. Tohline to Students with Good Mathematical Skills'''</font>: The astronomy community's understanding of the ''Structure, Stability, and Dynamics'' of stars and galaxies would be strengthened if we had, in hand, closed-form analytic solutions to the following well-defined mathematical problems. (Solutions can be obtained ''numerically'' with relative ease, but here the challenge is to find a closed-form analytic solution.) As is true with most meaningful scientific research projects, it is not at all clear whether each of these problems ''has'' a solution. In my judgment, however, it seems plausible that a closed-form solution can be discovered in each case and such a solution would be of sufficient interest to the astronomical community that it would likely be publishable in a professional astronomy or physics journal. At the very least, each of these projects represents an opportunity for a graduate student, an undergraduate, or even a talented high-school student (perhaps in connection with a mathematics science fair project?) to hone her/his research skills in applied mathematics. Also, I would be thrilled to include a solution to any one of these problems — along with full credit to the solution's author — as a chapter in this online H_Book. Having retired from LSU, I am not in a position to financially support or formally advise students who are in pursuit of a higher-education degree. I would nevertheless be interested in sharing my expertise — and, perhaps, developing a collaborative relationship — with individuals who are interested in pursuing answers to the questions posed by this identified set of problems.

	* [[~~User:Tohline/~~MathProjects/EigenvalueProblemN1\|Find Analytic Solutions to an Eigenvalue Problem]]		* [[MathProjects/EigenvalueProblemN1\|Find Analytic Solutions to an Eigenvalue Problem]]

	=See Also=		=See Also=

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Jet53man: Created page with "FORCETOC =For Pranav Jadhav in April 2021= ==Potentially Relevant Initial L..."

2021-07-24T21:09:08Z

Created page with "__FORCETOC__   =For Pranav Jadhav in April 2021= ==Potentially Relevant Initial L..."

New page

__FORCETOC__ 


=For Pranav Jadhav in April 2021=

==Potentially Relevant Initial Links==

* [[User:Tohline/H_BookTiledMenu#Tiled_Menu|Tiled Menu]]
* [[User:Tohline/ThreeDimensionalConfigurations/BinaryFission#Fission_Hypothesis_of_Binary_Star_Formation|Fission Hypothesis of Binary Star Formation]]
* [[User:Tohline/ThreeDimensionalConfigurations/ChallengesPt2#COLLADA-Based_Representation|COLLADA-based Representation of Riemann Type 1 Ellipsoid]]

==Challenges to Young, Applied Mathematicians==
<font color="red">'''Note from J. E. Tohline to Students with Good Mathematical Skills'''</font>: The astronomy community's understanding of the ''Structure, Stability, and Dynamics'' of stars and galaxies would be strengthened if we had, in hand, closed-form analytic solutions to the following well-defined mathematical problems. (Solutions can be obtained ''numerically'' with relative ease, but here the challenge is to find a closed-form analytic solution.) As is true with most meaningful scientific research projects, it is not at all clear whether each of these problems ''has'' a solution. In my judgment, however, it seems plausible that a closed-form solution can be discovered in each case and such a solution would be of sufficient interest to the astronomical community that it would likely be publishable in a professional astronomy or physics journal. At the very least, each of these projects represents an opportunity for a graduate student, an undergraduate, or even a talented high-school student (perhaps in connection with a mathematics science fair project?) to hone her/his research skills in applied mathematics. Also, I would be thrilled to include a solution to any one of these problems — along with full credit to the solution's author — as a chapter in this online H_Book. Having retired from LSU, I am not in a position to financially support or formally advise students who are in pursuit of a higher-education degree. I would nevertheless be interested in sharing my expertise — and, perhaps, developing a collaborative relationship — with individuals who are interested in pursuing answers to the questions posed by this identified set of problems.

* [[User:Tohline/MathProjects/EigenvalueProblemN1|Find Analytic Solutions to an Eigenvalue Problem]]

=See Also=

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Appendix/Ramblings/ForPJinApril2021 - Revision history

Jet53man at 20:56, 13 April 2022

Jet53man: Created page with "__FORCETOC__ =For Pranav Jadhav in April 2021= ==Potentially Relevant Initial L..."

Jet53man: Created page with "FORCETOC =For Pranav Jadhav in April 2021= ==Potentially Relevant Initial L..."