AmericanSwiss wrote: boards of FL wrote: AmericanSwiss wrote:Nanotech is driven by math more than physics and chemistry, and some other things. Made 798 of 800 on math and science part of SAT, know math and science very well. That was before they graded on a curve for slow students.
So say I were to give you some function...
f(x1, x2) = 4 + (x1 - 6)^2 - (x2 -2)^2
And then I gave a constraint...
x1 + 8x2 = 3
How would you go about maximizing f(x1, x2) subject to the constraint? I'm not asking you to actually do the work and solve this, but can you explain how you would approach solving such a problem?
I think you can squash any doubt that any forum member may have here if you can just explain in simple terms (not some overly technical wikipedia-like explanation that could be copy and pasted) how you would go about setting up such a problem.
I apologize for the delay. Just finished a 5 hour conference call regarding a $2.5 billion loan we sign on Monday and leaving Switzerland on Sunday to address that in London. Will sort of be on the road for the next 2-3 months on some major projects.
Ok, would only debate how putting a negative number in the constraint field is maximizing anything but that is another subject.
If a simple function would be inputs and permissible outputs. If your intent on defining the constraint regarding x1 is the same for the function and your constraint that would make x1 a negative number of -13. That could sort of make your ‘maximizing f(x1, x2)’ another constraint or something that could limit any maximizing for that part of the function.
Depends on what your objective would be.
If there is no ‘trick question’ regarding how you are using x1, solving for x2 could be done several ways.
Could solve directly if inputs are known, or solve by differential equation. There is a way to do it with matrices, but is the long route. There is also a way now to solve such with simple fractal iterations, easy for 2 domains, need computers if 4 or more domains and any codomains.
Your approach appears to be more geared to developing an algorithm, which is fine and done all the time in fractal geometry, fractal physics, differential geometry and topology. Those are the areas of mathematics we focus on and your approach to setting up a function and asking to set a constraint is one of the ways to determine what we do in surface modification of nanostructures. Sort of like learning to talk to atoms.
Most of the older scientists still do it with matrices and differential equations because they never took fractal or differential geometry.
You are welcome to poke and probe, up to a point. I am internationally known as an expert in this field and a driving force of it. That is why the USA has begging me for a second chance since March 2013 and I still have reservations about the nuthouse the USA has become. 317 million people, 317 million opinions and not one business plan in sight, and more than its share of vicious people.
http://www.rense.com/general82/karl.htm