Will most of the math be done on a computer?

mercredi 30 avril 2014

Just curious but how much math will I actually do say on a white board vs putting a few equations into something like excel?





butterworth low pass filter

filter -butterworth

tpe low pass, high pass, band pass, band stop

transform type - Z transform



specification for filter



passband cut off frequency

stopband- cut off frequency

passband ripple

stopband attenuation

sampling frequency



Q1) does cut off frequency edge frequency and corner frequency same or different ?





Quantum Eraser experiment reproduced at home!

I'm just posting the bare bones of this experiment to begin with, as it was quite the task just to attach all the photos in the proper order. But this is about quantum weirdness, and how it can be demonstrated at home with polarized film, a straight piece of thin wire, and a red laser pointer. It's based on an article in Scientific American from April 14, 2007 called "A Do-It-Yourself Quantum Eraser." I think I've done this properly and I'm fairly satisfied with the results.



I will elaborate on this in the near future. For now, I hope the pictures can speak for themselves.



Attachment 69269

Figure 1. Apparatus (red laser pointer, single wire only without path labeler, & diffraction pattern on wall)



Attachment 69270

Figure 2. Close-up of diffraction pattern on wall from laser beam passing through single wire.



Attachment 69271

Figure 3. Apparatus with path labeler and collapsed diffraction pattern on wall.



Attachment 69274

Figure 4. Close-up of collapsed diffraction pattern on wall after passing through path labeler.



Attachment 69272

Figure 5. Apparatus with path labeler and analyzer with restored interference pattern on wall.



Attachment 69273

Figure 6. Close-up of restored diffraction pattern on wall after passing through path labeler and analyzer.








Cross Section Data

Hi,



I'm doing a project to see the feasibility of transmuting tungsten into platinum on a small scale (maximum output of 1 kg per month). However, some of the cross section data that I need seems to be hard to find. Now because I am new to this, I don't know if its because no body has measured the data or because I simply am looking in the wrong place.



The data that I need are the thermal neutron capture cross sections for the following nuclides

(The radioactive ones have # signs):



Tungsten-186

Tungsten-187#

Rhenium-187#

Rhenium-188#

Osmium-188

Osmium-189

Osmium-190

Iridium-191

Iridium-192#



Can anyone point me in the right direction to get the data?





Magnetic propulsion on water?

1. The problem statement, all variables and given/known data

I need to find a way to propel a model boat using magnetic forces, without the use of battery or electrical power.



2. Relevant equations

Unsure (I am in grade 4)





3. The attempt at a solution I have looked into the use of 9V batteries, and use of an electric circuit, but I need to use natural forces (if necessary - combined with magnetic). Is this possible? And any advice on how it can be done?



Thank you very much.

1. The problem statement, all variables and given/known data







2. Relevant equations







3. The attempt at a solution





Thermodynamics Constant Pressure Process

Hi, I found a derivation for heat transfer in a constant pressure process. It goes as follows:



Q + W = u2 - u1

Q = u2 - u1 + p(v2 - v1)



Since h = u + pv, Then



Q = h2 - h1



The first equation states that the sum of heat and work done is equal to the change in internal energy, I can comprehend up to there. But in the next line the work done is taken to the other side of the equation; both mathematically and physically I cannot understand how the work done (p(v2 - v1)) is still positive.



Mathematically I would say that taking work to the opposite side would make work negative.

Physically I would think that the amount of heat supplied/given off would be equal to the difference of initial and final internal energy minus the work done.



Hope someone could clear this out for me. Thanks





Am I intelligent enough for Computer Science major?

I've always had an inferiority complex. In high school, i felt very insecure about my looks and now i feel very insecure about my intelligence.



When i was about 5 and learning to count, my parents told me that I sucked at math, so I am very insecure about my math ability, even though i know that I'm probably average at it.



I told my classmate that i am going to major in computer science, and she told me that I shouldn't because I got a C in calculus (in which I started slacking towards the end). I also have very poor pre cal foundation.



I have no clue about my abilities, but I'm guessing that i'm probably not very good at math or very intelligent. Now I feel very insecure about my ability to hack computer science major, ultimately fail in it. How much intelligence is needed to complete Computer Science major?



My SAT in math was 540 but i barely studied for it. Is that good enough for Computer Science major?





Simple Plasmid Mapping Problem

1. The problem statement, all variables and given/known data

Use the following data to create a plasmid map.



Number of base pairs for each restriction enzyme

A: 20

B : 11 6 3

A & B: 7 6 3



2. Relevant equations

The entries under the category "number of base pairs" could repeat themselves as they represent actual data obtained from gel electrophoresis. E.g. 11, 6, 3 could actually be 11, 6, 6, 3





3. The attempt at a solution

I believe this question is impossible due to the number "11" for restriction enzyme B. When both restriction enzymes (A and B) are applied the sequence with length 11 either remains intact or gets chopped up into pieces of length 7, 6, or 3 respectively. But there are no positive integer solutions for the equation 7x+6y+3z=11.





Good sources of information regarding S-parameters

Hello all, I am wondering if anyone can point me in the direction of any good material that explains s-parameters. So far, I have encountered explanations that just confuse with no effort put into simplifying the concept. Even my lecturer assumes that the entire class are geniuses. I don't mind doing the hard work in teaching my self the concepts, i just require material that has a good explanation with lots of examples. Any suggestions are appreciated.





MCBs as switch

can MCB be used as normal on/off switch?





Need help deciphering this number theory problem

1. The problem statement, all variables and given/known data



What does triangle line mean? What is "+" for sets here?



Once I know that, if I need assistance, I will show an attempt. Otherwise I will be satisfied. :)



2. Relevant equations







3. The attempt at a solution




Attached Images





File Type: jpg IMG_20140430_202531464.jpg (41.1 KB)







Particles moving freely on a vertical/horizontal loop

1. The problem statement, all variables and given/known data

1) A mouse of mass ##m## runs around the inner circumference of a vertical circle which is free to rotate about its centre. The mouse starts at the bottom of a stationary wheel. Let ##\phi## be the angle that the radius vector of the mouse makes with the downward vertical at time ##t## and let the distance run by the mouse around the circumference at time ##t## be a known function ##s(t)##. Show that the Lagrangian for ##\phi(t)## is $$L = \frac{1}{2}ma^2\dot{\phi}^2 + \frac{1}{2}I\left(\frac{\dot{s}}{a}-\dot{\phi}\right) + mga\cos \phi$$

(only need help with this part - but the rest of the question is attached for clarity (AttachmentQ2))



2)In attachment Q1 Last part: If the particle has speed ##u## when passing through O, show that its speed relative to the wire when passing through the point P at the other end of the diameter is ##\sqrt{u^2 + 4a^2 w^2}##. (Rest of question provided for clarity again)



2. Relevant equations

Kinetic energies, angular velocity.



3. The attempt at a solution

1)The first term in the Lagrangian is the translational kinetic energy of the mouse relative to an inertial frame and the third term is its potential energy. Introducing ##\theta## as the angle through which a point on the surface of the wheel has rotated, assuming there is no slip between the mouse and the inner circumference, then ##\dot{\theta} = \dot{s}/a##. Let ##w## be the angular velocity of the mouse wrt an inertial frame. How do we obtain ##w = \dot{s}/a - \dot{\phi}##? Why isn't ##\dot{\phi}## enough?



2) I think to get the speed at P relative to the wire then I need to solve ##v_p = 2a \dot{\phi}##. From a previous part of the question, I got that the equation of motion for ##\phi## incorporating the constraint ##\dot{\theta}=w##, is $$\ddot{\phi} + w^2 \sin \phi = 0$$ I could multiply this equation by ##\dot{\phi}##, integrate to get d/dt (expression) = constant and use the initial conditions for the velocity at O to get the constant. This would give me ##\phi## but the integral was non-elementary. Even so, if I could solve it, it would give me ##\phi(t)## and I would not know the time taken for the particle to get to P.



Many thanks.




Attached Images









File Type: jpg Q1.jpg (79.1 KB)
File Type: jpg Q2.jpg (103.0 KB)







atoms never touch each other because of electons

Recenty I learned that there is not real touch. That atoms never touch each other because of electons. I have two question to this.



1) Why we feel the pain(I think is because of brain analysys but I am not sure)

2) Why if I press hard my hand,I will mark that?? Why this sign in my hand will be exists(I will get out the electrons from there?)



Thank you!!!





Green plastic bottles and bags in the US

I just got back from a trip to Japan and one thing I was super impressed with was that all the plastic bags and bottles were derived from plants and thus would safely breakdown over time. I know California has some tough laws, but what about the rest of the US. Why are we not using plant plastic? Of course cost, but we are trashing the world! Not worth it!