https://www.cds.caltech.edu/~murray/wiki/images/7/7d/Cds140a-wi11-Week6NotesHamGrad.pdf
CDS140a Nonlinear Systems: Local Theory 02/08/2011 5 Gradient and Hamiltonian Systems Here we discuss some special nonlinear ODE that have some very nice properties. De�nition: Let E be an open subset of R2n and let H ∈ C2 (E) where H = H(x, y) with x, y ∈ Rn . The system ẋ = ∂H ∂y ẏ = −∂H ∂x , where ∂H ∂x = � ∂H ∂x1 , . . . , ∂H ∂xn �T ∂H ∂y = � ∂H ∂y1 , . . . , ∂H ∂yn �T , is called a Hamilton
Moving Magnetic Fields Disrupt Ice Nucleation
Great science stems from curiosity and hard work. In this case, it all began with a broken freezer. Atsuko Kobayashi (MS '91) and Caltech professor Joseph Kirschvink (BS, MS '75)—a husband-and-wife team of researchers who divide their time between Japan and the U.S.—returned to their home to discover that their freezer had died at some point during their absence. While shopping for a new one, Koba
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On May 11 & 12, 2018, Caltech and PMA presented Feynman 100, a celebration of Richard Feynman’s life & legacy on the occasion of his 100th birthday. The May 11 evening event celebrated his broad contributions to science and society as a scientist, teacher, and curious character. Speakers included: Robbert Dijkgraaf, Freeman Dyson, Joan Feynman, Michelle Feynman, Janna Levin, John Preskill and Kip
The Elowitz Lab at Caltech
We're programming new behaviors in living cells with synthetic and natural biological circuits.
Single dose testosterone administration impairs cognitive reflection in men - CaltechAUTHORS
© 2017 The Authors. Article first published online: August 3, 2017; Received: March 01, 2016; Accepted: April 19, 2017. We thank Jorge Barraza, Austin Henderson, and Garrett Thoelen for research assistance, David Kimball for assay testing, and Justine Carré and James Roney for their insightful comments on earlier versions of the manuscript. Action Editor: Steven W. Gangestad served as action edito
Home | NASA/IPAC Extragalactic Database
⇨ Your input is needed! Please take our User Survey (ends Dec 4). ⇨ Please Register for the AAS workshop on "Best Practices for Data Publication in the Astronomical Literature" August 2023 Release Highlights Database Updates 171K new object links (pointers) were added to over 1300 new references. 153K new sources from the literature were cross-identified with NED objects. 98K new redshift measurem
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NASA's three Great Observatories -- the Hubble Space Telescope, the Spitzer Space Telescope, and the Chandra X-ray Observatory -- joined forces to probe the expanding remains of a supernova, called Kepler's supernova remnant, first seen 400 years ago by sky watchers, including famous astronomer... Image Type Artwork Chart Collage Observation Photograph Simulation Subject Cosmology Galaxy Interplan
Data to Discovery
Data to Discovery is a data visualization, art and design research initiative, based at NASA/JPL, Caltech and Art Center College of Design. We co-design advanced interactive visualization systems with NASA/JPL and Caltech scientists and engineers. These systems help scientists make discoveries. .mission Data to Discovery’s mission is to enable and critically engage scientific discovery through exp
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Index of /slides NameLast modifiedSizeDescription Parent Directory - slides01.pdf 2014-12-16 21:06 300K slides02.pdf 2014-12-16 21:06 521K slides03.pdf 2014-12-16 21:06 1.1M slides04.pdf 2014-12-16 21:06 1.0M slides05.pdf 2014-12-16 21:07 505K slides06.pdf 2014-12-16 21:07 302K slides07.pdf 2014-12-16 21:07 416K slides08.pdf 2014-12-16 21:35 373K slides09.pdf 2014-12-16 23:26 858K slides10.pdf 2
Creating Indestructible Self-Healing Circuits | Caltech
Some of the damage Caltech engineers intentionally inflicted on their self-healing power amplifier using a high-power laser. The chip was able to recover from complete transistor destruction. This image was captured with a scanning electron microscope. PASADENA, Calif.—Imagine that the chips in your smart phone or computer could repair and defend themselves on the fly, recovering in microseconds f
WISE Preliminary Data Release
The Wide-field Infrared Survey Explorer Preliminary Data Release April 14, 2011 CAUTION: The Preliminary Data Release products are superseded by the products from the March 2012 WISE All-Sky Data Release. NASA's Wide-field Infrared Survey Explorer (WISE; Wright et al. 2010) mapped the sky at 3.4, 4.6, 12, and 22 μm in 2010 with an angular resolution of 6.1" 6.4" 6.5" & 12.0" in the four bands. WIS
hormann.dvi
From Scattered Samples to Smooth Surfaces Kai Hormann1 California Institute of Technology (a) (b) (c) (d) Figure 1: A point cloud with 4,100 scattered samples (a), its triangulation with 7,938 triangles (b), remesh with 80 × 48 quadrilaterals (c), and smooth approximation with a 23 × 15 bicubic tensor product B-spline surface (d). ABSTRACT The problem of reconstructing smooth surfaces from discret
MLSwiki
Welcome to MLSwiki. This is the wiki for the text A Mathematical Introduction to Robotic Manipulation by Richard Murray, Zexiang Li and Shankar Sastry. On this site you will find information on the current version of the book as well as additional examples, exercises, and frequently asked questions (coming soon). This site is currently under construction and some links may not be functional. News
Nobel Prize awarded to LIGO Founders
The LIGO Laboratory, comprising LIGO Hanford, LIGO Livingston, Caltech, and MIT are excited to announce that LIGO’s three longest-standing and greatest champions have been awarded the 2017 Nobel Prize in Physics: Barry Barish and Kip Thorne of Caltech and Rainer Weiss of MIT. The announcement was made this morning by the Nobel Committee in Stockholm Sweden. First broadcast live, you can watch the
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http://www.cds.caltech.edu/~murray/books/AM08/pdf/am08-complete_22Feb09.pdf
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The World's Smallest Mona Lisa
http://jimbeck.caltech.edu/summerlectures/references/Entropy%20estimation.pdf
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