What is Example: Definition and 877 Discussions

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  1. TheMathNoob

    Typo in an example (Probability)

    Homework Statement RollingDice. Supposethat 12dice are to be rolled.We shall determine the probability p that each of the six different numbers will appear twice. Each outcome in the sample space S can be regarded as an ordered sequence of 12 numbers, where the ith number in the sequence is the...
  2. almarpa

    Morin classical mechanics page 326 example

    Homework Statement A string wraps around a uniform cylinder of mass M, which rests on a fixed plane with angle θ. The string passes up over a massless pulley and is connected to a mass m. Assume that the cylinder rolls without slipping on the plane, and that the string is parallel to the plane...
  3. E

    Estimation example from Giancoli

    Hello, I´m a bit math-challenged and just started to brush up on both physics and mathematics simultaneously but I'm still at absolute beginner status and I don't want to go on in the book as long as I can't even figure out such a simple example. I'm using the Giancoli textbook on physics for...
  4. Y

    Question regarding a twin paradox related example

    Since I am new to the forum here, I apologize in advance that in case similar example has been explained in another thread. If so, please kindly refer me to the appropriate place to read further. In my example, there will be four reference objects, earth, E, distant star, S, spaceship A, and...
  5. Math Amateur

    MHB Euclidean Rings - Rotman Example 3.76

    I am reading Joseph J. Rotman's book: A First Course in Abstract Algebra with Applications (Third Edition) ... I am currently focused on Section 3.5 From Numbers to Polynomials ... I need help with Example 3.76 ... ... the example concerns Euclidean rings and their defining characteristics so...
  6. D

    Is this an example of nuclear fusion?

    My physics SATII book states that this is not an example of nuclear fusion: 4/2 He + 27/13 Al ⇒30/15 P +1/0 n If this isn't fusion then what is it? (The top number of the division is the mass; the bottom is the atomic number)
  7. G

    What animals are good example of natural enemy in PA setting

    I am writing story about Earth set 1000 years in future and I am looking for good example of living animals. So far I had wolves or dogs on my mind, how would they change in 1000 years?
  8. Math Amateur

    MHB Factorization of Polynomials Over a Field - Nicholson Example 10, Page 215

    I am reading W. Keith Nicholson's book: Introduction to Abstract Algebra (Third Edition) ... I am focused on Section 4.2:Factorization of Polynomials over a Filed. I need some help with Example 10 on page 215 ... The relevant text from Nicholson's book is as follows:In the above text, we read...
  9. ChrisVer

    Question on pointers (ROOT TTree example)

    TTree* inputTree = (TTree*)source->Get( "<YourTreeName>" ); Could someone please explain me what the above statements mean? I don't understand what " (TTree*) " does (source is a TFile). Thanks.
  10. J-dizzal

    Static equilibrium. Friction example

    Homework Statement A woman pedals her bicycle up a 8-percent grade on a slippery road at a steady speed. The woman and bicycle have a combined mass of 76 kg with mass center at G. If the rear wheel is on the verge of slipping, determine the coefficient of friction μs between the rear tire and...
  11. G

    Classic Static Electricity Balloon Example

    Homework Statement 1. Explain why a balloon sticks to a wall after being rubbed on your shirt (remember the wall is not metal and does not have "free" electrons") 2. Include a balanced force diagram that includes the electrical force and gravitational force (assume electrical force is twice...
  12. avito009

    Exploring Centrifugal Force in Pottery: A Closer Look at the Potter's Wheel

    As the potter shapes the mud vessel on his wheel, the wheel applies centrifugal force on the clay.So against this centrifugal force the potter shapes the vessel. Could this be an example of centrifugal force?
  13. O

    MHB Example of right upper semicontinuous function

    I am researching right upper semicontinuous function but I didnt find...Please give some examples...thank a lot
  14. B

    What is the Standard Definition of a Tensor Product of Two Vectors?

    I am have been searching for the of a tensor product of two vectors, but found seemingly conflicting definitions. For example, one source definition was, roughly, that the tensor product of two vectors was another column vector in a higher dimensional space, and another defined the tensor...
  15. B

    QM Sankar 2nd edition -- gram schmidt process on example 1.3.2

    Hi I was trying the gram schmidt process on example 1.3.2 page 43 as shown below u1=(3,0,0), u2=(0,1,2), u3=(0,2,5)v1=u1=(3,0,0) v2=u2-proj_(w1) u2=(0,1,2)-((<0,1,2><3,0,0>)/9)(3,0,0) However the top line inner product gives 0...
  16. kostoglotov

    Line Integral Example - mistake or am I missing something?

    This is an example at the beginning of the section on the Fundamental Theorem for Line Integrals. 1. Homework Statement Find the work done by the gravitational field \vec{F}(\vec{x}) = -\frac{mMG}{|\vec{x}|^3}\vec{x} in moving a particle from the point (3,4,12) to (2,2,0) along a piece wise...
  17. thankz

    Example of a variable capacitor input op-amp to voltage....

    example of a varible capacitor input op-amp to voltage level circuit. I'm not sure how to turn reactance to a voltage level using an op-amp? :wink:
  18. almarpa

    Taylor Classical Mechanics example 4.9

    Hello all. I have almost finished chapter 4 on energy in Taylor's classical mechanics book. But in the last example in this chapter I got confused. Here it is: "A uniform rigid cylinder of radius R rolls without slipping down a sloping track as shown in Figure 4.23. Use energy conservation to...
  19. V

    MHB NAP Yr 9 Example Test: Numeracy Q28 - 47.5 cm?

    http://www.nap.edu.au/verve/_resources/Example_Test_Numeracy_Y9_calc.pdf Question 28 says 46 centimeters in the answers but i got 47.5 centimeters
  20. O

    Homework Question - Fundamental Theorem of Calc Example

    Homework Statement Hi, I've been working through a practice problem for which I used the fundamental theorem of calculus, or one of its corollaries. The setup is a population changing over time. The population, P(t) at t = 0 is 6 billion. The limiting population as t goes to infinity is given...
  21. M

    Simple Symplectic Reduction Example

    Homework Statement I'm struggling to perform a symplectic reduction and don't really understand the process in general. I have a fairly solid understanding of differential equations but am just starting to explore differential geometry. Hopefully somebody will be able to walk me through this...
  22. X

    Seeking a example of noholonomic constraint

    I was reading up classical mechanics in Goldstein but needed some clarifications. I looked online and saw something that bothers me qutie a bit. In the online pdf below, on page 69 (or 74th screen scrolls), it states that Dot Cancellation does not work if the position vector is a function of...
  23. Math Amateur

    Torus - Singh, Example 2.2.5 - Baffled by certain aspects

    I am baffled by some aspects of the torus ... I hope someone can help ... I am puzzled by some aspects of Singh's treatment of the torus in Example 2.2.5 ( Tej Bahadur Singh: Elements of Topology, CRC Press, 2013) ... ... Singh's Example 2.2.5 reads as follows: My questions related to the...
  24. avito009

    Does the Moment of Inertia Change with Position?

    I had a discussion with my friend. He took an icecream stick and told me that if the stick was held horizontally the stick would break easily but if you held the stick vertically it would be difficult to break the stick. He said that vertically the moment of inertia is more. My question is that...
  25. M

    An example of a relation that is symmetric and anti-symmetric

    Would this example be valid in satisfying a relation that is symmetric and anti-symmetric? The relation R = {(1,1),(2,2)} on the set A = {1,2,3} Also, I'm curious to know since relations can both be neither symmetric and anti-symmetric, would R = {(1,2),(2,1),(2,3)} be an example of such a...
  26. L.E.N

    The Alice and Bob example of the FTL violates causality

    As many, I wondered why FTL communication has problems with causality. Went over many posts here in PF, and wasn't satisfied. And then I read this explanation, by Richard Baker: (2015-4-2, link is still active) http://www.theculture.org/rich/sharpblue/archives/000089.html His explanation is a...
  27. C

    Mathematical induction example

    Homework Statement A step in this process of proving Sn: 1+4+7+...+(3n-2) = n(3n-1)/2 confuses me. I hope someone can clarify this for me. I do not require the work done, I need clarification on a step only. Thanks! Homework Equations After assuming n=k, we say Sk: 1+4+7+...+(3k-2) =...
  28. Rapier

    Crank-Nicolson Method: Solving Homework Equations

    Homework Statement So I'm back to my wonderful computational physics course after a brief hiatus and once again, I am teaching myself the material. This unit we are working on some thermodynamics. We've just used the "Leap Frog" method to determine heat transfer of a 100k bar with both ends...
  29. Math Amateur

    MHB Finding inverse of F in Munkres' Topology Ch.2 EX 5 pg 106

    In Munkres book "Topology" (Second Edition), Munkres proves that a function F is a homeomorphism ... I need help in determining how to find the inverse of F ... so that I feel I have a full understanding of all aspects of the example ... Example 5 reads as follows:Wishing to understand all...
  30. H

    Looking for an example of a Successive over-relaxation

    Hi I am working on a programming assignment that requires me to implement the successive over-relaxation algorithm. We are given the wikipedia page for this: http://en.wikipedia.org/wiki/Successive_over-relaxation. I have read through the wikipedia page for this numerous times but am still...
  31. U

    Is an asthma inhaler (MDI) an example of vaporization?

    I am trying to give some context to medical vaporizers in a literature review I am composing and initially decided to give asthma inhalers and nasal inhalers as examples. I realized however, that some sources on-line were referring to these metered dose inhalers as vaporization devices when...
  32. PsychonautQQ

    Trouble understanding simple Galois Theory example

    Show that the galois group for (Complex : Reals) is given by {e, y} where y is y: C-->C is the conjugation automorphism defined by y(z) = z~ (Conjugate of z) for all z in C. if o is an element of gal(C:R) and z = a + bi in C, then o(z) = o(a+bi) = o(a)+o(b)o(i) = a+bo(i) but o(i)^2 = o(i^2) =...
  33. X

    Why isn't current negative in this example?

    Homework Statement The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a point of higher potential Vs = 9.00 μV at x = 0 to a point of zero potential at xs = 3.20 m. The wire has a radius of 1.50 mm, and copper has a resistivity of 1.69 × 10-8 Ω·m...
  34. F

    Where did this term go? - Help with Example Problem

    I'm having trouble figuring out how the term below boxed in red was eliminated on the left side of the equation as shown below. I reviewed properties of exponential functions, and still can't understand how this term was cancelled. 1. Homework Statement Homework Equations Exponential laws...
  35. evinda

    MHB Countable Union of Countable Sets

    Hello! (Wave) I am looking at the proposition: If $(A_n)_{n \in \omega}$ is a sequence of sets and $(f_n)_{n \in \omega}$ is a sequence of functions then: for all $n \in \omega, f_n: \omega \overset{\text{ surjective }}{\rightarrow} A_n$ then there is a function $f: \omega \overset{\text{...
  36. evinda

    MHB Dijkstra's Algorithm & Negative Weight Graphs

    Hello! (Wave) How could we find an example of a directed graph with edges of negative weight for which the Dijkstra's algorithm gives wrong results? (Thinking)
  37. Math Amateur

    MHB Apostal Chapter 4 - Cauchy Sequences - Example 1, Section 4.3, page 73

    I need some help in fully understanding Example 1, section 4.3 Cauchy Sequences, page 73 of Apostol, Mathematical Analysis. Example 1, page 73 reads as follows: https://www.physicsforums.com/attachments/3844 https://www.physicsforums.com/attachments/3845 In the above text, Apostol writes: "...
  38. MidgetDwarf

    Question regarding why an example In kolenkow mechanics

    I am having a problem understanding an example in kolenkow: an introduction to mechanics. The question I have is on page 71/section 2.9 in the red cover edition. The example is telling me to find the acceleration of the end of the rope and how it is related to the acceleration of the block. I...
  39. evinda

    MHB Understanding Transitivity of a Set: An Example

    Hi! (Smile) According to my notes, a set $A$ is called transitive if the elements of its elements are elements of $A$. For example, the set of natural numbers $\omega$ is a transitive set. Also, if $n \in \omega$ then $n$ is a transitive set since $n=\{0,1,2, \dots, n-1 \}$ and if we take a...
  40. A

    Engineering Basic RL circuit -- Power example

    Homework Statement A simple RL circuit in series connected to a source with V(t) = 30Cos(3t+75°)V and is delivering 14.12 W of power. I'm also given the power factor which is pf=0.857 and is lagging. Find the values of R and L Homework Equations P=Vm*Im/2 * pf for power theta =...
  41. J

    Example Problem in the book, why is tension ignored?

    Homework Statement An Atwood machine consists of two masses, M and m, which are connected by an inelastic cord of negligible mass that passes over a pulley. If the pulley has radius R and moment of inertia I about its axle, determine the acceleration of the masses M and m. Homework Equations...
  42. S

    Example of Stochastic DE for elementary physics?

    Are there any tutorials that apply stochastic differential equations to the settings of elementary physics problems ? - for example, an object sliding down a not-frictionless ramp. The ramps of everyday life don't have a constant coefficient of friction. A better model for them would be...
  43. P

    I need an example of a function.

    Give an example of a function f:R2-->R , continuous in (0,0), with partial derivatives in (0,0), but not differentiable in (0,0). I was thinking in something like f(x,y)=IxyI
  44. Z

    Example of a local field of positive characteristic?

    I am looking for a local field of positive characteristic, like Q22 was used in this article: http://8pic.ir/images/s9oiiuqqkq989w3posu9.png in fact, i need an another Example of a local field of positive characteristic like Q22 .
  45. Math Amateur

    MHB Free Modules w/Multiple Bases: 2nd Issue w/Example 5 (Paul E. Bland)

    I am reading Paul E. Bland's book, "Rings and Their Modules". I am trying to understand Section 2.2 on free modules and need help with Example 5 showing a module with two bases ... ... Thanks to Caffeinemachine, I have largely clarified one issue/problem I had with Example 5, but now have a...
  46. V

    An example need to be turned into an integral

    OK. We are producing something and then storing it. The first year, "1" is produced, the second year, "1,1" the third 1,12, so that the production capacity increases 10% per year. How do we convert this into a general formula for how much we have produced in total after year x? It is obviously...
  47. Math Amateur

    MHB Endomorphism Rings - Bland Example 7 - page 10

    I am reading Paul E. Bland's book, "Rings and Their Modules". In Chapter 1: Basic Properties of Rings and Modules, Bland gives endomorphism rings as a basic example of a ring. The example (Example 7) reads as follows:https://www.physicsforums.com/attachments/3572 I do not feel that I fully...
  48. Math Amateur

    MHB Free Modules With More Than One Basis - Bland - Example 5, page 56

    I am reading Paul E. Bland's book, "Rings and Their Modules". I am trying to understand Section 2.2 on free modules and need help with Example 5 showing a module with two bases ... ... Example 5 reads as follows:I am having trouble understanding the notation and meaning of M = \bigoplus_{...
  49. evinda

    MHB Example for which the relation does not stand

    Hello! (Smile) It stands that $R[A \cap B] \subset R[A] \cap R[B]$, since: $$y \in R[A \cap B] \rightarrow \exists x \in A \cap B: xRy \rightarrow \exists x(x \in A \wedge xRy) \wedge (x \in B: xRy) \rightarrow y \in R[A] \wedge x \in R[B] \rightarrow y \in R[A] \cap R[B]$$ But, it doesn't...
  50. evinda

    MHB Example of Set for Relation Restriction to A

    Hello! (Wave) Let $R$ be a relation and $A$ a set. The restriction of $R$ to $A$ is the set: $$R\restriction A=\{ <x,y>: x \in A \wedge <x,y> \in R\}=\{ <x,y>: x \in A \wedge xRy\}$$ For a relation $R$ and a set $A$, it stands that: $$dom(R \restriction A)=dom(R) \cap A$$ Could you give...
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