Recent content by tickle_monste
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How much input maps to output?
Given a polynomial abcdefg, there are 8 possible inputs and thus 8 possible outputs, and I have 8 equations describing each possible output. They are: p(000) = 0 p(100) = a p(010) = b p(001) = c p(110) = a+b+d p(101) = a+c+e p(011) = b+c+f p(111) = a+b+c+d+e+f+g Given a polynomial abcdefg and...- tickle_monste
- Post #3
- Forum: Calculus and Beyond Homework Help
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How much input maps to output?
Homework Statement I have polynomials of the form: x1 + x2 + x3 + x1x2 + x1x3 + x2x3 + x1x2x3 The x's can be a combination of 1s and 0s, so all the possible inputs could be written as strings: 000, 100, 010, 001, 110, 101, 011, 111 The polynomials can also have coefficients a...g, so...- tickle_monste
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- Input Output
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Positive charge of NAD+ molecule
Why is the positive charge of the NAD+ molecule located on the nitrogen in the nicotinamide group? This nitrogen has 4 bonds attached to it, but nitrogen only has 3 holes in its valence shell, so wouldn't this make a negative charge on this nitrogen?- tickle_monste
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- Charge Molecule Positive
- Replies: 2
- Forum: Chemistry
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People leaving and entering city
([SIZE="2"]Moderator's note: thread moved from "Differential Equations") By natural increase, a city, whose population is 40,000, will double in 50 years. There is a net addition of 400 persons per year because of people leaving and moving into the city. Estimate its population in 10 years. My...- tickle_monste
- Thread
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Undergrad Solve ODE Dilution Problem: 400-400e
I forgot to preview my original post, hence the horrible LaTeX job. But no matter, I've figured out the problem in my solution. I'll restate the problem since my first attempt is next to illegible: 200 gal fresh water, brine with 2lb/gal flows in @ 2 gal/min, and the mix flows out at the same...- tickle_monste
- Post #2
- Forum: Differential Equations
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Undergrad Solve ODE Dilution Problem: 400-400e
A tank initially contains 200 gal of fresh water with 0 lbs of salt. Brine whose salt concentration is 2lb/gal flow in at 2 gal/min and the mix flows out at the same rate. x = salt content, t = time. So I figure that dx = 4dt - 2xdt/200 or dx = (400 - x).01dt dx/(400-x) = .01dt \int0x...- tickle_monste
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- Dilution Ode
- Replies: 1
- Forum: Differential Equations
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Graduate Eigenvalue of 3D rotation matrix
It was pretty cool to stumble upon Euler's formula as the eigenvalues of the rotation matrix. det(Rot - kI) = (cos t - k)2 + sin2t =k2-2(cos t)k + cos2t + sin2t =k2-2(cos t)k + 1 k = {2cos t +/- \sqrt{4cos^2(t) - 4}}/2 k = cos t +/- \sqrt{cos^2(t) - 1} k = cos t +/- \sqrt{cos^2(t) - cos^2t -...- tickle_monste
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- 3d Eigenvalue Matrix Rotation Rotation matrix
- Replies: 2
- Forum: Linear and Abstract Algebra
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Undergrad Is i squared equal to -1 or +1?
sqrt(-a)=sqrt[i2a] sqrt[i2a]*sqrt[i2b] = (i*i)sqrt[a]sqrt[b]= -(sqrt[ab])- tickle_monste
- Post #13
- Forum: General Math
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Graduate Proving the Equivalence of Solving Equations and Finding Functions
My wording of the problem was poor, I forgot to account for multiple independent solutions. So, here it is, better worded: Finding a solution of Q in the equation is equivalent to finding a function f, such that when f is substituted for Q in the equation, the equation will reduce to an...- tickle_monste
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Proving the Equivalence of Solving Equations and Finding Functions
Not necessary.- tickle_monste
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Proving the Equivalence of Solving Equations and Finding Functions
I've got a proof but I'll wait a couple days to post mine to give you guys a chance to take a crack at it. Prove that: For all equations E(A1, ... , An), solving for Ai is equivalent to finding the function f(A1..A(i-1),A(i+1)...An), such that when f is substituted in E in place of Ai, E...- tickle_monste
- Thread
- Replies: 4
- Forum: Linear and Abstract Algebra
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Graduate Can Direct Sum Isomorphism Imply Module Equality in PID?
M + m = n + n. 2m = 2n m = n- tickle_monste
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Change of variables in heat equation
Wow, I really should've been able to do that myself. Thanks a lot though, that's a big help- tickle_monste
- Post #3
- Forum: Differential Equations
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Graduate Change of variables in heat equation
dTB/dt = -k(TB-TM). TM is held constant. (TB-TM) = Q, so: dTB/Q = -kdt. How would I change this equation so that instead of integrating wrt to TB, I can instead integrate wrt Q?- tickle_monste
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- Change Change of variables Heat Heat equation Variables
- Replies: 2
- Forum: Differential Equations
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Graduate Solving Dilution Problem with Water Level Change & Brine Addition
Actually on second thought I'm not quite sure what you're trying to specify with z'. What exactly are you differentiating Z with respect to?- tickle_monste
- Post #4
- Forum: Differential Equations