Explicit Definition and 147 Threads

Implicit atheism and explicit atheism are types of atheism. In George H. Smith's Atheism: The Case Against God, "implicit atheism" is defined as "the absence of theistic belief without a conscious rejection of it", while "explicit atheism" is "the absence of theistic belief due to a conscious rejection of it". Explicit atheists have considered the idea of deities and have rejected belief that any exist. Implicit atheists, though they do not themselves maintain a belief in a god or gods, have not rejected the notion or have not considered it further.

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  1. T

    Why are implicit functions used instead of explicit?

    Hi, this is a very basic question. I want to know why are implicit functions used, when the purpose of functions is to calculate the independent variable. For example, why would someone write ay + bx + c = 0 as a "straight line function" (sorry for the possible abuse of language, I don't...
  2. jfy4

    So, what is the function for the redshift z as a function of distance r?

    This may seem elementary, however I have been unable to find a declarative statement that seems reliable. What is the equation for the red-shift z as a function of distance r to the best of our knowledge? That is z(r)=? Thanks in advance.
  3. O

    Explicit form for representing two spin 1/2 system

    explicit form for representing "two spin 1/2 system" Hello, Are there any explicit forms(functions) for representing a "two spin(1/2) particle system" whose states are "proton1 up / proton2 up", "proton1 up / proton2 down", "proton1 down / proton2 up", "proton1 down / proton2 down"? Can it...
  4. B

    Modeling Composites in Explicit dynamics. [Ansys]

    Hello, I am trying to model an explicit dynamics model in Ansys, to study impact of different objects. I cannot figure out how to model a composite with several layers in workbench. I have been trying to achieve this for over a week now. I was told that I can model the composite in Ansys...
  5. R

    How Are Pell and Sophie Germain Triangular Numbers Related?

    Or, more aptly titled: Pell Numbers & [ Sophie Germain, Square & Pronic ] Triangular Numbers BACKGROUND RESEARCH Conjecture: Sophie Germain Triangles & x | 2y^2 + 2y - 3 = z^2 (Proven) https://www.physicsforums.com/showthread.php?t=462793 Consider the following form... X = (((z - 1)/2)^2 +...
  6. chwala

    Solve for y: Explicit Function of y^2 + xy = x^2 | Tips and Examples

    Express y as an explicit function y^2 +xy = x^2 I was unable to get this this are my steps: Y(x + y) = x^2 X + y = x^2/y X=x^2/y – y………..kindly assist
  7. B

    Explicit form of time evolution operator

    The time evolution operaton may be written formally as: This is an actual solution to: only in the case that [H(t1),H(t2)]=0 (that is: the hamiltonian commutes in different instants of time) Of course, this includes the case of a time independent hamiltonian. If this is not the case, the...
  8. jegues

    Differential Equation - Explicit 2-Parameter family of solutions

    Homework Statement Find an explicit two-parameter family of solutions for, \frac{1}{3}y^{''} = 2x\sqrt[3]{(y^{'})^{2}} Homework Equations The Attempt at a Solution See figure attached for my attempt at the solution. I've gotten to the point where I could simply expand out...
  9. C

    Is R Isomorphic to S? Finding an Explicit Isomorphism

    Homework Statement Determine whether R is isomorphic to S for each pair of rings given. If the two are isomorphic, find an explicit isomorphism (you do not need to show the formal proof). If not, explain why. Homework Equations R= 2x2 matrix, a 0, 0 b, for some integers a,b S= Z x Z...
  10. T

    What is the most accurate explicit solution for the Colebrook equation?

    I authored the articles, http//www.cheresources.com/colebrook1.shtml with parts 2 and 3 in 2004. I'm requesting assistance in updating the explicit equations portions of that series. My problem is that I have been unable to verify the accuracy of the Goudar - Sonnad equation. I have attempted...
  11. S

    Explicit Finite difference scheme on spreadsheet

    I know this is really stupid and it looks like i haven't tried at all but i am genuinely confused about this so any guidance at all would help big time. so here is the question. A steel bar, 70mm long is struck at one end by a heavy mass moving at 20m/s. The impact causes a compression wave...
  12. I

    Guessing Explicit Formula for a Sequence

    Homework Statement Given a recursive sequence, use iteration to guess an explicit formula a(k) = 5a(k-1) + k and a(1) = 1 Homework Equations Sum of Geometric Sequence : (r^(n+1)-1)/(r-1)The Attempt at a Solution y(2) = 5*1 + 2 y(3) = 5(5+2) + 3 = 5^2 5*2 + 3 y(4) = 5(5^2 5*2 + 3) + 4 =...
  13. A

    How to identify whether a function is implicit or explicit?

    how to identify whether a function is implicit or explicit? advanced thanks.
  14. V

    Explicit Solutions to this equation

    Homework Statement explicit solution of -2x^2y+y^2=1; 2xydx+(x^2-y)dy=0? The Attempt at a Solution I was able to find that dy/dx=-2xy/(x^2-y) which is the implicit solution of the equation. I pretty much derived both of the equations to make sure they are both equal to one another...
  15. R

    Explicit formula for Euler zigzag numbers(Up/down numbers)

    I have derived an explicit formula for the http://mathworld.wolfram.com/EulerZigzagNumber.html" , the number of alternating permutations for n elements: A_j=i^{j+1}\sum _{n=1}^{j+1} \sum _{k=0}^n \frac{C_k^n(n-2k)^{j+1}(-1)^k}{2^ni^nn} For details, please refer to my article in...
  16. marcus

    Explicit embedding of gravity+Standard Model in E8 (new Lisi paper)

    http://arxiv.org/abs/1006.4908 An Explicit Embedding of Gravity and the Standard Model in E8 A. Garrett Lisi 14 pages. For peer review and publication in the "Proceedings of the Conference on Representation Theory and Mathematical Physics." (Submitted on 25 Jun 2010) "The algebraic elements of...
  17. J

    Vacuum solutions, and Explicit source terms

    This is a question about solving Einstein's Field Equations for some simple cases, but I'm not sure how to explain this without analogy. So bear with me for a brief discussion. Consider the electrostatic equation: \nabla^2 V = \rho / \epsilon_0 which show explicitly how the charges source the...
  18. C

    Find explicit bijection from N to N x N

    Homework Statement Find a linear ordering of \mathbb{N} \times \mathbb{N} and use it to construct an explicit bijection f : \mathbb{N} \to \mathbb{N} \times \mathbb{N}. Homework Equations The Attempt at a Solution I know how to find a bijection by graphically by drawing the \mathbb{N} \times...
  19. D

    Recursion: find explicit formula

    A(0, x) = x + 1 For : x >=0 A(y, 0) = A(y-1, 1) For : y > 0 A(y, x) = A(y-1, A(y, x-1)) For : y > 0, x > 0 Find A(2,x) for x >= 0 I worked this out... but I am wondering if I am right. Let x be 1 and y be 2. From statement 3 : A(y, x) =...
  20. M

    Find explicit function or functions corresponding from implicit

    find explicit function or functions corresponding from implicit ,,, Homework Statement 1) 4x^2+9y^2=36 2)xy^2 + (x^2-1)y-x=0 The Attempt at a Solution 1) y=√((36-4x^2)/9)==>6/3√(-4x^2)) = 2√(-4x^2)) and the book answer is ±2/3 √(9-x^2) can someone tell me what's my mistake ? 2) well i...
  21. I

    What is the explicit representation of 2cos(omega)t - 1/4 sin(omega)t = 0?

    explicit representation?? I got to show the explicit representation of 2cos(omega)t - 1/4 sin(omega)t = 0. what is this? is this operator notation??
  22. A

    Explicit and Implicit Matrix Notation Question

    Ok so this is a fairly stupid question I'm sure, but I'm not quite clear about the following: Given a Lorentz transformation we require the following to hold: g_{\sigma\rho}\Lambda^{\sigma}_{\mu}\Lambda^{\rho}_{\nu} = g_{\mu\nu} In other notation this is written: \Lambda^{T}g\Lambda...
  23. collinsmark

    Explicit Fourier transform of sin(x)/x.

    Homework Statement I'm reviewing my Fourier transforms (useful in quantum mechanics, in this case 1-dimensional representation), and I'm having a heck of time *explicitly* solving the Fourier transform of \psi(x) = sinc(x) \phi(p) = F \left\{ \psi(x) \right\} = \frac{1}{\sqrt{2 \pi \hbar}}...
  24. S

    Chain rule notation - can Leibniz form be made explicit?

    Hi there, I'm a new user to the forums (and Calculus) and I 'm hoping you can give me your opinion on my chain rule form below. When learning the chain rule, I was taught two forms. This form: \frac{d}{dx}f(g(x))=f'(g(x))g'(x) As well as the Leibniz form...
  25. T

    Recursive Projectile To Explicit Formula

    Homework Statement If a projectile orbits around a planet and lands after x cycles of the equation: radius[n+1] = radius[n] - (M* v^2 / radius[n]*G*P/radius[n]^2) at a final radius of C. What is the necessary v? The only variable that isn't known at the time of solving is v...
  26. T

    Explicit variable from equation

    hi all! I'm facing this problem and I can't get a solution, I want to explicit variable m from the following equation, I tried with binomial theorem to break up binomial coefficient but it was useless... can someone help me please? \sum_{i=n}^{n+m}\binom{n+m} {i}p^i(1-p)^{n+m-i} = k...
  27. P

    Implicit vs explicit finite element solvers

    Hello, I was just reading about implicit vs explicit finite element solvers and have a question about the difference between them. I understand that the implicit solver has a linear approximation step that is used to force equilibrium. My question is does that make the explicit solver...
  28. Greg Bernhardt

    Medical Second degree burn two nights ago (explicit)

    I thought I would share my recent story and bad luck. I was at the Melting Pot, a nice fondue restaurant. The waitress dropped the boiling pot of oil and it splashed on me. Hurt like the dickens and almost instantly skin peeled. The photo is of day three. I've been keeping it uncovered the...
  29. N

    Find Explicit Expression for f^-1(x) in f(x)=\frac{-2x}{3x-4}

    For the function f given by the equation f(x)=\frac{-2x}{3x-4}, determine where the relation f^-1 is a function. If f^-1 is a function, write an explicit expression for f^-1(x). Need help writing explicit expression. Any guidance?
  30. M

    Explicit expressions for creation/annihilation operator of the free scalar field

    I've been trying to work my way through some of my lecture notes, and have hit this snag. (n.b. I use k_0 \equiv +\sqrt{\vec{k}^2 + m^2}) We have a(q) = \int d^3 x e^{iqx} \{ q_0 \phi(x) + i \pi(x) \} a^{\dagger}(q) = \int d^3 x e^{-iqx} \{ q_0 \phi(x) - i \pi(x) \} To calculate the...
  31. A

    Explicit Formula for Sum of Series with Fractional Terms

    Homework Statement Find an explicit formula for the sum of the series, given that the formula for any term in the series is \frac{1}{2n(n+3)} Homework Equations The Attempt at a Solution
  32. A

    Explicit Formula for Sum of Series

    Homework Statement Determine an explicit formula for the sum of n terms for the given series: 1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5} Homework Equations The Attempt at a Solution I calculated the first 5 terms for the sum sequence and got: 1, \frac{3}{2}...
  33. H

    Explicit solution of heat/diffusion equation

    I am trying to use a explicit FDM for transient 1d conditions with linear elements for specific diffusion equation: ds/dt=D(x)*d2s/dx2+R(s) the problem is that I am using different, nonlinear functions describing diffusion constant D(x) and reaction rate R(s). The diffusion parameter is...
  34. N

    Orbits: explicit r(t) and theta(t)

    I am sure this is a stupid question but can someone give me the equations for r(t) and theta(t) for an orbit an inverse square law (treating the central mass as being at rest). The books always seem to only give r(theta) i.e. the shape of the orbit but not the actual time evolution. Is it ever...
  35. C

    Hilbert spaces: Explicit example of an unbounded operator?

    I'm wondering if someone can give me an example of an everywhere defined unbounded operator on a (separable for simplicity) Hilbert space in a "constructive" manner. Since it's unbounded, simply a dense definition (i.e. on an orthonormal basis) wouldn't work since you can't extend it by...
  36. P

    Explicit vs implicit time dependence in Lagrangian mechanics

    I'm trying to understand something that's coming from my Marion & Thornton (4th edition 1995 on p. 264 in a section titled "Conservation Theorems Revisited"). The topic is conservation of energy and introduction of the Hamiltonian from Lagrange's equations. We're told that the Lagrangian...
  37. quasar987

    Explicit formula the nth eigenfunctions of the quantum harmonic oscillator?

    Hi, Is there an explicit formula for the eigenfunctions of the harmonic oscillator? By explicit, I mean "not written as the nth power of the operator (ax-d/dx) acting on the ground state". Thanks.
  38. Pythagorean

    Time derivatives where there's no explicit time dependence

    Say I have a funciton sin(theta - phi) theta and phi are both time-dependant. How do I take the time derivative of this function? Is there a general notation or do I have to assume theta = w1t and phi = w2t and go with that?
  39. P

    Dynamical systems:From explicit to implicit equations

    Hi! This is my first post...I've a little question about a mathematical issue I found in the passage from explicit to implicit equations of a dynamical system. How to demonstrate that?? http://pixhost.eu/show_big.php?/share/2007-01-19/doi.jpg Thanks to all
  40. M

    I got explicit formula to the sequence correct, but confused on checking

    Hello everyone. I got the hard part of the problem done with help from another forum member, and i transferred it into a gemeotric sum, which i will show below but I'm confused on the following directions that my profressor wrote: I checked in the section he was talking about and to my...
  41. S

    Explicit or analytic formula for a homeomorphism

    What would an explicit or analytic formula for a homeomorphism between a circle and a square be? Or a disc and [0,1] x [0,1]?
  42. M

    Find an explicit or implicit solutions to the differential equation, what now?

    Hello everyone, yet another obscure problem on web work. No examples like this in the book nor did the professor go over it so i was wondering if someone can let me know what exactly they are wanting me to do! Find an explicit or implicit solutions to the differential equation...
  43. M

    How Do You Derive an Explicit Formula from an Integral Equation?

    How do u find an explicit formula when given an integral of a function. For example, the integral from 0 to x of tg(t)dt=x+x^2, how do u find the forumla for g(t)?
  44. T

    Learning a technique to figuring out the Explicit Formula

    I have a lot of trouble trying to figure out the explcit forumla of a series of numbers. I can see the pattern in a recursion forumla, however. 2, -4, 8, -16, ... Is a multiplication of -2 to the term before it. Which is cake to write in a recursion forumla. But what about an Explicit...
  45. D

    Explicit Formula for the nth Fibonacci Number

    Problem f(x) = \frac{x}{1-x-x^2} = \sum _{n=1} ^{\infty} f_n x^n By writing f(x) as a sum of partial fractions, find an explicit formula for the nth Fibonacci number. My work \frac{x}{1-x-x^2} = \frac{-4}{(2x + \sqrt{5} + 1)(2x - \sqrt{5} + 1)} = \frac{A}{2x + \sqrt{5} + 1} +...
  46. M

    P implicit vs. explicit function of time

    As part of proving that d/dt <p> = <-Del V> you have to use the fact that < dp/dt> = 0 when p is not an explicit function of time. I'm not clear on what this means. Any insights to share? From classical mechanics, if there is a potential V = -k/r then there will be a force on a particle...
  47. phoenixthoth

    Explicit Bijection from N to NxN

    for this post, let N = {1, 2, 3, ...}. Q: explicitly write down a closed form bijection with domain N and range N x N. (no need to prove its a bijection... just write down the formula.) this may lead you off track, but the way i did it was to first find a formula from N x N to N and then...
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