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Yeah, it was a hard problem: nested rotating coordinate systems, five unknown displacements, in-vacuum experiment control to a fraction of a micron--my kind of problem. I solved the forward transformation in just ten minutes, taking extra care not to make a sign error. Child's play. Then I stepped up to the inverse problem. Of course I wanted to find an analytic solution, clean, elegant, and accurate. After several hours, six notebook pages dense with multi-line trig-laden equations, one pen-change, and three separate attempts from scratch, just for certainty, I solved it. But what good could it do me? Piecewise continuous, in four separate quadrants, with changing signs due to the quadratic roots and the ArcCosine uncertainty, this was a beast of a solution. Yes, it worked in the special cases I tested first. But toss in the necessary displacements and the solution's sign changes came up to bite me. I spent a good two more hours flipping signs, looking for a way to make it yield, before I bagged the primary approach to make a separate ascent with an iterative solution. It's not quite the ego prize a working analytic solution would have been, but I needed a solution, and this was taking too long. I thought, "This'll be easy: Newton's method in two dimensions." Something I've done lots of times. It's worth staying late on a Friday, I reasoned, to solve a problem that would otherwise ruin my calm all weekend. I'd even put in some finesse and work out the derivatives longhand to make the convergence go faster. But wait! ArcTangent's derivative was tossing out infinities everywhere, messing up even the simplest cases. Who needs this!? So I called in the clean-up routine and brute-forced the search in a collapsing-box, searching; a where-there-hell-are-you method. Oh, I did put a little grease in the gears by adjusting each step with a quadratic fit when it came across a local minimum in the solution space. That probably shaves 5 milliseconds off the calculation. My group-mates will never notice that it's a 1/20th of a second slower than the analytic solution would have been--had that worked! A tiny lag, but I know it's there. And I'll think about it, even in the thousands of moments to come when they slam the return key, and the stage I'm controlling just goes.
First Minister Nicola Sturgeon visited Intelligent Growth Solutions Sustainable Glasgow Landing Site Exhibition
..Vinyl Solution: painted vinyl records, stenciled and placed in a public space for people to find and keep..
Free Art: www.flickr.com/groups/freeartfriday/
Participants at the session Global Tech, Local Solutions: Artificial Intelligence at the Annual Meeting 2018 of the World Economic Forum in Davos, January 26, 2018
Copyright by World Economic Forum / Mattias Nutt
First Minister Nicola Sturgeon visited Intelligent Growth Solutions Sustainable Glasgow Landing Site Exhibition
You can download or view Macroscopic Solutions’ images in more detail by selecting any image and clicking the downward facing arrow in the lower-right corner of the image display screen.
The individuals of Macroscopic Solutions, LLC captured the images in this database collaboratively.
Contact information:
Mark Smith M.S. Geoscientist
mark@macroscopicsolutions.com
Daniel Saftner B.S. Geoscientist and Returned Peace Corps Volunteer
daniel@macroscopicsolutions.com
Annette Evans Ph.D. Student at the University of Connecticut
annette@macroscopicsolutions.com
In the mountains, even in June, it gets cold pretty fast once the sun goes down around 8pm. If you want to extend your time outdoors, snuggling in a zero degree duck down sleeping bag is a good solution.
I enjoy both dawn and dusk in terms of observing wildlife and also just witnessing the majestic light transformation from night to day or vice versa.
The plan for the new van is to build an observation/sleeping deck on the roof, accessible by a boat hatch directly above the bed. The view from there should be impressive, especially in the desert.
(cc) Shashi Bellamkonda Social Media Swami Network Solutions If you use this picture please credit as shown above
Johan de Villiers, Managing Director, Singapore and South-East Asia, ABB, Singapore, in Designing Solutions for Sustainable Living at the World Economic Forum on East Asia in Jakarta, Indonesia, April 20, 2015. Copyright by World Economic Forum / Sikarin Fon Thanachaiary
Re-examine each solution and determine whether or not the criteria you previously established has been fulfilled.
First Minister Nicola Sturgeon visited Intelligent Growth Solutions Sustainable Glasgow Landing Site Exhibition
Renovus Solar offers affordable solar solutions for everyone who pays an electric bill in upstate New York, including residential and commercial clients.
Credit: Stephen Yang / The Solutions Project
ERP software systems are designed to operate, plan, manage and to enhance internal business routes including supply management, customer relation management and human resources
Renovus Solar offers affordable solar solutions for everyone who pays an electric bill in upstate New York, including residential and commercial clients.
Credit: Stephen Yang / The Solutions Project
Renovus Solar offers affordable solar solutions for everyone who pays an electric bill in upstate New York, including residential and commercial clients.
Credit: Stephen Yang / The Solutions Project
Renovus Solar offers affordable solar solutions for everyone who pays an electric bill in upstate New York, including residential and commercial clients.
Credit: Stephen Yang / The Solutions Project
Cubicle Solutions manufacture 100% moisture resistant SolidCore toilet and shower cubicles, internal and external wall cladding, lockers and urinal divisions
You can download or view Macroscopic Solutions’ images in more detail by selecting any image and clicking the downward facing arrow in the lower-right corner of the image display screen.
Three individuals of Macroscopic Solutions, LLC captured the images in this database collaboratively.
Contact information:
Mark Smith M.S. Geoscientist
mark@macroscopicsolutions.com
Daniel Saftner B.S. Geoscientist and Returned Peace Corps Volunteer
daniel@macroscopicsolutions.com
Annette Evans Ph.D. Student at the University of Connecticut
annette@macroscopicsolutions.com
Renovus Solar offers affordable solar solutions for everyone who pays an electric bill in upstate New York, including residential and commercial clients.
Credit: Stephen Yang / The Solutions Project
Astrologer Pt. Sumit Sharma ji is offering Husband and wife problem solution and love spells form a long time +91-9829753564 .
lovemarriagespecialistinuk.com/Husband-and-wife-problem-s...
Workforce Solutions Office dressed as Dr. John Sygielski for Halloween; including Nancy Lloyd, Jeanian Clark, Cindy Soltis Hunter, Cathy Vandermer, and Larry Baker, 2006
with Katie Couric during a panel discussion about the issues and difficulties facing girls and young women across the globe ,at the 'Women In The World: Stories and Solutions' global summit.
New York, March 13, 2010.
في جلسة حوارية أدارتها المذيعة كيتي كوريك حول القضايا والتحديات التي تواجه الفتيات حول العالم، وذلك خلال مشاركتها في قمة "المرأة في العالم"
نيويورك، الولايات المتحدة/ 13 آذار 2010
© Royal Hashemite Court
Leading an environmentally friendly lifestyle can be so simple. If you’re going to leave a room for more than three minutes in the evening, it pays to turn off the light. Or: regularly checking your tire pressure increases driving safety and saves gas. These are only two of the 40 solutions in the areas of mobility, energy, everyday habits and retail consumption that are easy to put into practice immediately, 40 suggestions that you can playfully explore on a Touch Table. Users can also ascertain their own CO2 footprint. The original version of this installation is part of an exhibition entitled L’Oracle du Papillon in Fribourg, Switzerland.
credit: Johanna Mathauer
Cubicle Solutions manufacture 100% moisture resistant SolidCore toilet and shower cubicles, internal and external wall cladding, lockers and urinal divisions