Points Definition and 1000 Threads

The Fourteen Points was a statement of principles for peace that was to be used for peace negotiations in order to end World War I. The principles were outlined in a January 8, 1918 speech on war aims and peace terms to the United States Congress by President Woodrow Wilson. However, his main Allied colleagues (Georges Clemenceau of France, David Lloyd George of the United Kingdom, and Vittorio Orlando of Italy) were skeptical of the applicability of Wilsonian idealism.The United States had joined the Triple Entente in fighting the Central Powers on April 6, 1917. Its entry into the war had in part been due to Germany's resumption of submarine warfare against merchant ships trading with France and Britain and also the interception of the Zimmermann Telegram. However, Wilson wanted to avoid the United States' involvement in the long-standing European tensions between the great powers; if America was going to fight, he wanted to try to separate that participation in the war from nationalistic disputes or ambitions. The need for moral aims was made more important when, after the fall of the Russian government, the Bolsheviks disclosed secret treaties made between the Allies. Wilson's speech also responded to Vladimir Lenin's Decree on Peace of November 1917, immediately after the October Revolution in 1917.The speech made by Wilson took many domestic progressive ideas and translated them into foreign policy (free trade, open agreements, democracy and self-determination). Three days earlier United Kingdom Prime Minister Lloyd George had made a speech setting out the UK's war aims which bore some similarity to Wilson's speech but which proposed reparations be paid by the Central Powers and which was more vague in its promises to the non-Turkish subjects of the Ottoman Empire. The Fourteen Points in the speech were based on the research of the Inquiry, a team of about 150 advisers led by foreign-policy adviser Edward M. House, into the topics likely to arise in the anticipated peace conference.

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  1. S

    Reduction of the electronic wave vectors (K points)

    Hello, I have come across this sentence in a paper: "For a metal, the introduction of a finite temperature T can be of a more technical use: the Fermi surface of the system is no longer a sharp feature in the Brillouin zone, and the number of electronic wave vectors "k points" needed to...
  2. B

    Finding The Minimums, Maximums, And Saddle Points Of A Graph.

    Homework Statement Find the maximums, minimums, and saddle points (if any) of Z = 4Y3 + X2 - 12Y2 - 36Y +2 Homework Equations The partial derivatives with respect to X , and Y. The Attempt at a Solution I took the two partials, and set them equal to zero. The problem is...
  3. C

    How to find error between non-linear plot and data points?

    Is there a formal way to measure the error between some arbitrary points and a non-linear curve in order to minimize it?
  4. T

    Critical points (x-1)^4 (x-y)^4

    Homework Statement Find critical points. f(x,y) = (x-1)^4 + (x-y)^4 The Attempt at a Solution \frac{\partial f}{\partial x} = 4(x-1)^3 + 4(x-y)^3 \frac{\partial f}{\partial y} = - 4(x-y)^3 \frac{\partial f}{\partial x} = 0 , \frac{\partial f}{\partial y} = 0 , -...
  5. Y

    Finding angle between two points on the surface of a sphere.

    If I specify the latitudes and longitudes of both point A and B on the surface of a unit sphere, how can I find the great circle angle between the two points? Say if Latitude and longitude of A is ##\epsilon_1 \;\hbox { and }\;\tau_1## respectively. Latitude and longitude of B is ##\epsilon_2...
  6. C

    How to measure breaking points of different materials?

    Hello, I'm working on a design for an architectural structure, and I am choosing the material for the design. Are there any resources that will tell me the breaking point for like "1-inch" of material X. I need something that can support the weight of a car. Thanks! Carpetfizz
  7. S

    Determining the set of points at which the function is continuous.

    Homework Statement Determine the set of points at which the function is continuous. F(x,y) = arctan(x + √y) Homework Equations Perhaps the chain rule? The Attempt at a Solution I derived it, but the solution in the back of the book is nothing like what I expected. It involves e and...
  8. P

    Moving three points infinitely away

    U=kqoq/r ? Please look at the attachments. I was wondering if someone could please check my work. That is all. Thank you for your time!
  9. S

    How Does the Ratio of Lattice Points to Radius Behave as Radius Increases?

    Given a circle centered at the origin, how can one prove that the limit of the quotient of the number of lattice points on the circle over the radius goes to zero as radius goes to infinity?
  10. R

    Critical Points of cos y & cos 2x - Why the Difference?

    for cos y the critical points are n*pi - 0.5*pi for cos 2x, the critical points should be n/2 * pi - 0.25*pi because if I set y=2x = n*pi - 0.5*pi , I get the eq in red for x. However if I do it graphically, I just get n*pi - 0.25*pi. The question: why algebraically I am constrained to use...
  11. B

    Where Do Electric Fields Cancel Out Between Two Charged Particles?

    Homework Statement In the figure below, determine the point (other than infinity) at which the electric field is zero. (Let q1 = -2.45 µC and q2 = 6.50 µC.) Homework Equations The Attempt at a Solution Here is a little commentary my author gives on this problem: Each...
  12. N

    Electric potential problem with two plates and different points (i'll elaborate)

    Homework Statement There are two parallel plates. The plate on the left has an electric potential of +60 Volts. The right plate has an electric potential of 0 Volts. The plates are 8.0mm apart. Between the two plates lies a point P 2.0mm from the left plate with a charge -3.5pC. Point R lies a...
  13. D

    Sigma Plot, Non-linear regression, fitting a line to a set of points

    I model arterial baroreflex data that I have collected in humans using the Kent equation which is: y=p1/(1+exp((x-p3)*p2))+p4; where Y=heart rate, X= estimated carotid sinus pressure, p1=range of Y, p2=slope coeff, p3=centerpoint on X, p4 = minimum Y. I use Sigma Plot to do a best fit line...
  14. Z

    Calculating a Circle Through 3 Points - Equations and Confusion

    Homework Statement I was looking at the following tutorial http://mathworld.wolfram.com/Circle.html Homework Equations equations 31-34 o the link The Attempt at a Solution My question is just whether this means that for 31-34, the answers are determinants of 3x3 matricies...
  15. N

    Finding and labeling equilibrium points between multiple point charges.

    Homework Statement How to find equilibrium points between four point charges? How do you determine whether these equilibrium points are stable, unstable, or neutral? I know the sum of the forces should equal zero, but that's it. How do you determine the stability of the equilibrium...
  16. M

    Fluid mechanics, bernulli equation: reference points

    Can anyone give me some advice on where I should take my points of reference when using bernulli equation. I know the point will vary according to the problem, but can one say, always begin looking for this and that and apply the equation... Then move to this and that, etc
  17. L

    Variation of S with fixed end points

    Not really a homework question, just the notes are confusing me. Homework Statement Let S be a functional. (Given without proof) If S is differentiable its derivative \delta S is uniquely defined as \delta S = \int_{x_{0}}^{x_{1}}\frac{\delta S}{\delta \gamma} \delta \gamma dx where...
  18. Y

    Calculate Inertial tensor of 5000 points

    Homework Statement I was given a sample of 5000 points from an ellipsoidal blob (in 3D) that has some orientation. Assuming that each point has equal mass, I was asked to calculate the inertia tensor of this blob, then find the principal axes to determine the orientation of this blob...
  19. S

    Applying force to a flat object with contact points

    Hi all! This isn't actually a homework question, but thought this subforum is the place for this anyway. It's been some ten years since I last touched the topic of mechanics and I guess this is a real simple question, but what can you do when I don't get it! Any help is appreciated! How do...
  20. P

    What is an effective approach to proving that interior points are open?

    Homework Statement For S \subset Rn, prove that S° is open. Homework Equations S° are all interior points of S. The Attempt at a Solution My class has only learned how to use balls to solve these types of problems (no metric spaces). So I need to choose an ε > 0 so that Bε(x) \subset...
  21. MarkFL

    MHB Finding the area of a triangle formed by 3 points in the plane

    Suppose we have 3 points in the plane given by: $\displaystyle (x_1,y_1),\,(x_2,y_2),\,(x_3,y_3)$ and we wish to find the area of the triangle whose vertices are at these points. We may let the base b of the triangle be the line segment between the first two points, and the altitude h of the...
  22. B

    Graphing a function using critical points and increasing/decreasing intervals

    Homework Statement Find the local maxima and minima and sketch: Critical points: (3, -4) and (6, 0) Interval of increase: (3, ∞) Interval of decrease (-∞, 3) I'm not quite sure if I graphed this correctly since I wasn't given the function to doublecheck. The Attempt at a...
  23. P

    Understanding Guass Points, Shear Energy, Hourglassing & Shear Locking

    i am facing difficulty in understading the following terms in fea 1. guass points and integration points 2. zero shear energy elements 3. Hourglassing 4. shear locking Please provide information about the four points in a much simpler way compared to what is presented in internet or books.
  24. 7

    How Do You Calculate (X,Y) Coordinates on a Circle with a Given Radius?

    I would like to calculate (X,Y) coords on a circle with a 10" radius. I have some idea on how this can work but I'm not real solid on it. Say the center is (0,10) and I'd like to solve for Y given an arbitrary X. How would I do this? Obviously (10,0) and (-10,0) and (0,-10) and I know that sin...
  25. N

    Where Do Points Sum to Two-Thirds the Perimeter of a Rectangle?

    I found one interesting example... We have a rectangle ABCD with his perimeter o. Where is the set of points when their (for each point) sum of distance lines AB, BC, CD, DA is 2/3o ? I tried it, but geometric problems is quite hard for me and I don't know how do it. So, have you got any...
  26. D

    Practical Problem re melting points

    Hi all, I am posting as a layman, whose 16 year old son has been issued with a court summons for criminal damage against a neighbour's car and driveway. A few weeks ago my son thoughtlessly emptied a small glass candle jar out of his upstairs bedroom window into what he thought was the...
  27. Q

    Four complex points lie on a circle proof

    This isn't really homework. I'm studying What Is Mathematics by myself. But I'm very stuck on one of its exercises. Homework Statement Prove that if for four complex numbers z_{1}, z_{2}, z_{3} and z_{4} the angles of \frac{z_{3} - z_{1}}{z_{3} - z_{2}} and \frac{z_{4} - z_{1}}{z_{4} -...
  28. C

    Finding Points of Tangency for the Unit Circle

    Hi I'm trying to study over break, this isn't an exact quote but its the part of the problem I need help with. Thanks. Homework Statement Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Lines L1 and L2 are...
  29. karush

    MHB Are Corners Inflection Points on a Graph?

    in that at corners are not differentiable, does this mean that they also are not inflection points but at the same time a change in the rate. https://www.physicsforums.com/attachments/517 on the graph above f(x) for [0,7] at x=4 and x=5 what is f' and f'' or does it not exist thanks ahead(Dull)
  30. L

    Classify the Critical Points (Advanced)

    Good Day, My professor historically has put more advanced questions on the final exams than can be found in our textbook. My supplements and extensive search engine use have not allowed me to get any further...Ive hunted through as many examples as I could find but cannot seem to find a...
  31. G

    Least squares adjustment/regression - two points known distance apart

    Hi All, I'm struggling with finding a solution to an adjustment I'm working on. Thought someone else may have some thoughts? I have a kinematic time series of X,Y positions for two points (X1,Y1,X2,Y2). I know that the two points were a distance D (e.g., 100 m) apart from each other (the...
  32. 7

    Calculate the arc length between two points over a hyper-sphere

    Good morning, I'm trying to compute the arclength (geodesic distance) between two n-dimensional points over a n-dimensional sphere (hypersphere). Do you know if it is possible? If yes, please, I'd be very pleased if you, as experts, provide me this knowledge. Thank you very much
  33. T

    What is the Voltage Between Point B and Point C in this Circuit?

    A battery has a voltage of 107.5 V. We denote this battery with point B. Point C is the point after two resistors, which are parallel to one another. Immediately after point C we get one more resistor. Calculate the voltage between B and C. I calculated the total resistance between B and C...
  34. P

    Types of points in metric spaces

    Hi, I'm reading Baby Rudin and have a quick question regarding topology. Given a nonempty subset E of a metric space X, is it true that the only points in E are either isolated points or limit points? (b/c all interior points are by definition limit points, but not all limit points are...
  35. R

    Find slope of line, two points on the line are included

    Homework Statement find the slope of this line it contains these points: (-16, -1) , (-17, -7) Homework Equations y = mx + b The Attempt at a Solution i got y = 3/8x - .625 is that correct? my work i use -7 +1 / -17 + 1 ==-6/16 ==6/16 = 3/8 then i used -7 =...
  36. U

    Minimizing Volume with given equations and certain points. Calculus 32A

    Homework Statement A plane with equation xa+yb+zc=1 (a,b,c>0) together with the positive coordinate planes forms a tetrahedron of volume V=16abc (as shown in the Figure below) Find the plane that minimizes V if the plane is constrained to pass through a point P=(8,2,3) . Here is a...
  37. P

    MHB Distance between two points in the Cartesian plane

    Let $AB$ be the distance between the two points $A(x_{1} ~ x_{2})$ and $B(x_{2}, ~ y_{2})$ -- e.g. $AB = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$. Why is the point $P$ which divides $AB$ in the ratio $\lambda:\mu$ given by $\displaystyle ~~ \bigg(\frac{\lambda x_{2}+\mu x_{1}}{\lambda+\mu}, ~...
  38. C

    How Can Fixed Points Determine Solutions in Differential Equations?

    Homework Statement The Attempt at a Solution set x(t)=1+∫2cos(s(f^2(s)))ds(from 0 to t) then check x(0)=1+∫2cos(s(f^2(s)))ds(from 0 to 0)=1 then the initial condition hold, by FTC, we have dx(t)/dt=2cos(tx^(t)), then solutions can be found as fixed points of the map but for...
  39. C

    MHB Circle problem finding coordinates of points

    Continued from; Originally Posted by Jameson http://www.mathhelpboards.com/f2/understanding-how-deal-fractions-using-brackets-2596/#post11674 What is the full problem you are trying to solve? I can't make sense of your post until I know that. I have a circle problem and am trying to find...
  40. fluidistic

    Second order ODE, I think 2 regular points

    Homework Statement Hello guys! I've never dealt with an ODE having 2 singularities at once, I tried to solve it but ran out of ideas. I must solve ##(x-2)y''+3y'+4\frac{y}{x^2}=0##. Homework Equations Not sure. The Attempt at a Solution I rewrote the ODE into the form...
  41. B

    Cantor set end points are and are not countable

    The number of end points of the cantor set double each time an iteration is performed, therefore the total number of end points after infinite iterations is ~ 2^N where N is cantor's aleph null. 2^N is, however, c (the number of the continuum) and is therefore uncountable but we know that the...
  42. G

    Deriving the equation of points for exact fitting and shape analysis

    Hello, I would like to ask you some questions. 1) I've a closed curve (for example an ellipse, which may represent the contour of an object) represented by the set of its (known) points. I need to find the equation of that curve to pass through all and every point (exact fit). I think that...
  43. M

    Fixed Points of two differential equations

    Homework Statement Determine all fixed points of: dx/dt = x(β-x-ay) dy/dt = y(-1+ax-y) β and a are parameters. I get what to do when there is just one differential equation, but not two.
  44. J

    How Can Different Definitions of Separating Families of Seminorms Be Reconciled?

    In the context of families of seminorms I've come across these two definitions; i) a family of seminorms \{ p_I \} is separating if p_I = 0 for all I implies x=0. ii) for a family of seminorms, when for every x \in X / \{ 0 \} there is a seminorm p_I such that p_I (x) > 0. It is easy to show...
  45. A

    Linear programming: How to find extreme points and extreme directions?

    Hi guys I'm reading a book about linear programming and network flows. In chapter 2 when it talks about convex sets and their analysis it talks about extreme points and extreme directions of a convex set. I understand the definitions of extreme points and extreme directions, but I don't know...
  46. T

    MHB Finding Critical Points of a Dynamical System.

    Hello guys . I obtained a 3 dimensional dynamical system , how can I find its critical points with using software ? I tried it handy but its too involved to compute handy .
  47. Z

    Why Is the Fourier Sine Series Not Defined at Discontinuous Points?

    Why is Fourier sine series of any function satisfying Dirichlet's theorem, not defined on the discontinuous points whereas we define it for Fourier cosine series? ex - sine series of f(x) = cosx, 0<=x<=∏ is defined on 0<x<∏ whereas cosine series of f(x) = sinx, 0<=x<=∏ is defined on 0<=x<=∏
  48. trollcast

    Show 2 of 3 points on a circle are the diameter

    Homework Statement Points A B and C lie on the circumference of a circle where $$A =(-3,2)\\B=(-1,6)\\C=(7,2)$$ Show that AC is the diameter of the circle. Homework Equations The Attempt at a Solution Would it be sufficient to show that the angle ABC is a right angle and therefore...
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