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Lewis, H. (2020, February 19). Can computers be used to check mathematical proofs?  
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Lewis, H. (2020, February 19). Can computers be used to check mathematical proofs? Kepler and the fruit stacking problem. Retrieved December 06, 2020, from  
        Kepler and the fruit stacking problem. Retrieved December 06, 2020, from  
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         https://www.mathscareers.org.uk/can-computers-be-used-to-check-mathematical- proofs-kepler-and-the-fruit-stacking-problem/
 
         https://www.mathscareers.org.uk/can-computers-be-used-to-check-mathematical- proofs-kepler-and-the-fruit-stacking-problem/
  
National Center for Biotechnology Information (2020). PubChem Element Summary for  
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National Center for Biotechnology Information (2020). PubChem Element Summary for AtomicNumber 47, Silver. Retrieved December 6, 2020 from  
        AtomicNumber 47, Silver. Retrieved December 6, 2020 from  
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         https://pubchem.ncbi.nlm.nih.gov/element/Silver.
 
         https://pubchem.ncbi.nlm.nih.gov/element/Silver.
  
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Wolchover, N. (2013, December 20). Mathematical Progress on Sphere-Packing Optimization  
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Wolchover, N. (2013, December 20). Mathematical Progress on Sphere-Packing Optimization Problems. Retrieved December 06, 2020, from  
        Problems. Retrieved December 06, 2020, from  
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         https://www.quantamagazine.org/mathematical-progress-on-sphere-packing-optimization-problems-20131220/
 
         https://www.quantamagazine.org/mathematical-progress-on-sphere-packing-optimization-problems-20131220/
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[[Sphere Packing 7: Conclusion|<-Conclusion]]
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[[Sphere Packing 0: Table of Contents|Sphere Packing Home]]
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[[Category:MA271Fall2020Walther]]

Latest revision as of 11:29, 6 December 2020

Works Cited

Author: Eli LeChien


Darling, D. (n.d.). Cannonball problem. Retrieved December 06, 2020, from

       https://www.daviddarling.info/encyclopedia/C/Cannonball_Problem.html


Lewis, H. (2020, February 19). Can computers be used to check mathematical proofs? Kepler and the fruit stacking problem. Retrieved December 06, 2020, from

       https://www.mathscareers.org.uk/can-computers-be-used-to-check-mathematical- proofs-kepler-and-the-fruit-stacking-problem/

National Center for Biotechnology Information (2020). PubChem Element Summary for AtomicNumber 47, Silver. Retrieved December 6, 2020 from

       https://pubchem.ncbi.nlm.nih.gov/element/Silver.


Weisstein, E. (2020, November 19). Cubic Close Packing. Retrieved December 06, 2020, from

       https://mathworld.wolfram.com/CubicClosePacking.html


Weisstein, E. (2020, November 19). Hypersphere Packing. Retrieved December 06, 2020, from

       https://mathworld.wolfram.com/HyperspherePacking.html


Wolchover, N. (2013, December 20). Mathematical Progress on Sphere-Packing Optimization Problems. Retrieved December 06, 2020, from

       https://www.quantamagazine.org/mathematical-progress-on-sphere-packing-optimization-problems-20131220/


<-Conclusion


Sphere Packing Home

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva