What is Points: Definition and 1000 Discussions

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. Q

    Understanding Phase Diagrams: Boiling, Melting & Critical Points

    Homework Statement https://scontent-b-dfw.xx.fbcdn.net/hphotos-prn1/v/1012733_10201076259690370_236735593_n.jpg?oh=4896ca67a34d3b223b764aba8ed308ab&oe=528A1B57 Homework Equations http://upload.wikimedia.org/wikipedia/commons/3/34/Phase-diag2.svg The Attempt at a Solution Not sure entirely...
  2. A

    Real Analysis: closed sets and limit points

    For the following example:(if possible give example or just state impossible 1) a bounded subset A of R for which sup A is not a limit point of A. An example is (0,1) union {7}. will this work? 2) a finite subset A of R that is not closed I think it is not possible. Please give some hints...
  3. E

    How can I create and manipulate multiple points in MATLAB?

    Homework Statement i had some problem with MATLAB of how to create two points of random positions and adding another few random pointsHomework Equations how to create the points, set a point as the centre, make the iteration for one point to rotate the centre and also the other iterations for...
  4. Q

    Boiling and Freezing Points of Solutions

    Homework Statement The aqueous solution with the lowest freezing point of the following group is: 1) 0.01m MgSO4 2) 0.01m NaCl 3) 0.01m CH3CH2OH 4) 0.008m MgCl2 5) all equal Homework Equations Solutions have lower freezing points and higher boiling points than their solvents...
  5. B

    Isolated points must be boundary points?

    In the textbook I am working with, an isolated point of A is defined to be a point X in A such that there exists a neighborhood (open ε-ball) centered on X containing no point in A other than X itself. A boundary point of A (which need not be in A) is defined as a point X in A such that...
  6. P

    Why do we need integration points in FEA?

    Hi Why are displacements calculated on integration points but not directly over the nodes. The whole purpose of discretizing a structure in FEA is to have fewer degrees of freedom, then why add integration points when there are well defined nodes. Also, can somebody please explain having...
  7. Math Amateur

    Affine Varieties - Single Points and maximal ideals

    In Dummit and Foote Chapter 15, Section 15.3: Radicals and Affine Varieties on page 679 we find the following definition of affine variety: (see attachment) ------------------------------------------------------------------------------------------------------------------------------------...
  8. Math Amateur

    MHB Affine Varieties - Single Points and maximal ideals

    In Dummit and Foote Chapter 15, Section 15.3: Radicals and Affine Varieties on page 679 we find the following definition of affine variety: (see attachment) ------------------------------------------------------------------------------------------------------------------------------------...
  9. Q

    Inflection Points and Intervals

    Homework Statement Suppose that a continuous function f(x) has horizontal tangent lines at x = -1, x = 0, and x = 1. If f"(x) = 60x^3 - 30x, then which of the following statements is/are true? A) f(x) has a local max at x = 1 B) f(x) has a local min at x = -1 C) f(x) has an inflection...
  10. T

    Locus of all points due to a charge

    Homework Statement A 100 nC point charge is located at A(-1, 1, 3) in free space. (a) Find the locus of all point P(x,y,z) at which E_x = \frac{V}{m}. Find y_1 if P(-2,y_1,3) lies on that locus. Homework Equations...
  11. G

    Some probability questions - mean , variance , uniformly chosen points

    Hi there , I have some simple (on 1st look) questions. I just need some help.http://img59.imageshack.us/img59/3018/5hby.png 1st question. I think the expected value should be 150 since the probability of getting a head is 1/2 .. 300x1/2 = 150 so the mean should also be 150. the variance...
  12. A

    MATLAB Critical points of system of ODE in MATLAB - Game theory and poker

    Hello there, I hope I'm posting in the right section. I have been doing some work on evolutionary game theory and poker. I will give a brief description of how I got here. I have eight strategies i = 1, 2, \ldots, 8 and the eight proportions of the population playing each strategy is...
  13. FeDeX_LaTeX

    Identifying Singular Points in the Equation of Motion: DE Homework

    Homework Statement The equation of motion of a particle moving in a straight line is ##x'' - x + 2x^3 = 0## and ##x = \frac{1}{\sqrt{2}}, x' = u > 0## at ##t = 0##. Identify the singular points in the phase plane and sketch the phase trajectories. Describe the possible motions of the...
  14. A

    To find the midpoint of a line AB,with the given points A and B

    Homework Statement *)Given two points A=(4,3,2) and B=(-2,0,5).Find the unit vector extending from origin toward the midpoint of line AB Homework Equations The Attempt at a Solution Direction vector to AB=(-6,-3,3) and hence direction vector to its midpoint is (-3,-1.5,1.5)...
  15. FeDeX_LaTeX

    Finding Equilibrium Points and Sketching Phase Portrait for a System of DEs

    Homework Statement Find the equilibrium points of the system, determine their type and sketch the phase portrait. ##\frac{dx}{dt} = -3y + xy - 10, \frac{dy}{dt} = y^2 - x^2## The attempt at a solution Putting it together: ##\frac{dy}{dx} = \frac{y^2 - x^2}{-3y + xy - 10} \equiv...
  16. L

    Creating a formula from plot points

    Hallo all... I have a couple of plot values that I am trying to derive a formula from. The points are almost linear but not quite... Was hoping someone could shed some light on how to go about this... I have Matlab 7.1, would like to use it if at all possible... Any help would be...
  17. P

    Prove or disprove the following statement using sets frontier points

    if A is a subset of B and the frontier of B is a subset of A then A=B. I am pretty sure that this is true as I drew I diagram and I think this helped. A frontier point has a sequence in the set and a sequence in the compliment that both converge to the same limit. However I'm not really...
  18. P

    Interior points proof where one set is a subset of the other

    How would I go about proving that if A is a subset of B then the interior points of A are a subset of the interior points of B?
  19. C

    Determining stable and unstable equilibrium points

    Background: I've derived the equation of motion of the bead shown in the picture below using the Lagrangian \omega^2Rsin(\theta)+r\ddot{\theta}=0 The equilibrium points are at θ=0 and π. I'm now to show that only one of these points is stable. Homework Statement Show that only one of the...
  20. R

    V=[k(q)/r] + [k(-q)/r] Finding the points where v is equal to zero.

    Hello! First of all, thank you for your time in reading my post. Secondly, I am not looking for people to freely give me the answers. With all that said... Homework Statement I have a test point randomly selected on a graph, but what I am trying to figure out is where on this graph...
  21. P

    Proving the Existence of Frontier Points for Sets in ℝ

    3.4. Let E\in  R. Prove or disprove the following statements: (i) if a\inE and b\inE^{c} = ℝ\E and a < b then [a ,b] \cap∂E IS NOT EQUAL TO ∅. (ii) if a\inE and b\inE^{c} = ℝ\E and a < b then (a ,b) \cap∂E IS NOT EQUAL TO ∅. I am really stuck I know that the frontier of a set is when a...
  22. M

    Finding Interior Points in a Subset: Hints & Tips

    How do you find the interior points of a subset? I understand that a point is an interior point if there exists an epsilon neighborhood that is in the set, but I don't know how that would work with specific sets. Any hints?
  23. U

    Möbius transformation, 3 points

    Homework Statement Find the Möbius transformation that maps 0 -> -1 1 -> infinity infinity -> 1 Homework Equations w = f(z) = \frac{az + b}{cz+d} The Attempt at a Solution My first idea was to attempt to solve it as a normal system of eq's but that quickly falls apart due to...
  24. caffeinemachine

    MHB Discrete sets and uncountability of limit points

    Definition: A subset $D$ of $\mathbb R$ is said to be discrete if for every $x\in D$ there exists $\epsilon>0$ such that $(x-\epsilon,x+\epsilon)\cap D=\{x\}$. Question: Does there exist a discrete subset $D$ of $\mathbb R$ such that the set of limit points of $D$ is an uncountable set. ___...
  25. Petrus

    MHB Find Stationary Points of f(x,y) Under Constraint x^3+y^3+6xy=8

    Hello MHB,This is an old exam I got a question, Decide all stationary points to function f(x,y)=x^3y^3 under constraint x^3+y^3+6xy=8So basicly this is how they Solved it and I did so as well but I Also have learned that there is stationary point where gardient of constraint is equal to zero I...
  26. J

    Are point particles always points?

    Tell me if I am correct: The wave part of wave-particle duality is a probability wave. An electron, for example, is always a 0 dimensional point (as far as we know), and the wave characteristic of the electron determines the possible locations of the electron and probability of finding it in...
  27. M

    Understanding Lattice Points in a Primitive Cubic Cell

    Hello, Suppose I have a primitive cubic cell with 8 atoms, one on each corner of the cube. I don't understand how this consists of only one lattice point? Doesn't each corner have a lattice point, thus the cell would consist of 8 lattice points??
  28. L

    High symmetry points and lines in Brillioun Zone

    Hi, I've seen pictures like this one: http://www.lcst-cn.org/Solid%20State%20Physics/Ch25.files/image002.gif Is there any good explanation somewhere on this subject? I'm using Kittel's book but there's nothing in there on this.
  29. T

    Predicting projectile peak based on vector points

    hey folks, I am making a program that uses object tracking to watch a juggling pattern and plays notes based on the peaks of the balls. I want to predict when/where(x,y) a peak will happen before it does and what i have to work with is when/where(x,y) the ball appears in each frame. I have...
  30. T

    Why integrate at these points? (Electric potential of a sphere)

    Homework Statement Find the potential inside and outside a uniformly charged solid sphere of radius R and total charge q. Homework Equations V(r) = -∫E dl The Attempt at a Solution I just have a question about finding the potential inside the sphere. Why integrate from infinity...
  31. C

    How to find critical points for a differential equation?

    Homework Statement f(x,y)= 3x5y2 - 30x3y2 + 60xy2 +150 How do I find the critical points where this equation equals zero? Homework Equations None? The Attempt at a Solution I found the partial derivatives, but I'm stuck now and don't know where to go from here. dx = 15x4y2...
  32. Petrus

    MHB Find Stationary Points of f(x,y,z): Q(h,k,l) Explained

    Find all starionary points to function f(x,y,z)=x^2+xy^2+yz^2-2z and Also decide it character. I find a point at (-1/2,1,1) now I have to check if it is semidefinit etc.. But I only know the formula for 2 variable Q(h,k) I try search this method in My book and can't find it.. What you call this...
  33. N

    Differential equation bifurcation, how to find equilibrium points?

    Homework Statement What are the bifurcation values for the equation: dy/dt = y^3 +ay^2 Homework Equations The Attempt at a Solution Equilibrium solutions: y^3 + ay^2 = 0 ==> y^2 (y + a) = 0 ==> y = 0 (double root), or y = -a. a = 0 is the sole bifurcation point, since...
  34. R

    How to find which of three points are on a line?

    Homework Statement Which of these three points falls on the line? l: r(t)=(i+2j)+t(6i+j-5k) P(1,2,0); Q(-5,1,5); R(-4,2,5) I have the answer, but I don't understand why P and Q fall on the line but R does not. Is it because the i and j magnitudes are different for R?Homework EquationsThe...
  35. J

    Boiling points and explanation

    Homework Statement Arrange compunds in order of increasing boiling points and explain why. C2Br6,C2F6,C2I6,C2Cl6 Homework Equations The Attempt at a Solution I have C2Cl6 < C2Br6 < C2I6 < C2F6 My explanation is as follows. C2F6 is highest because it has dipole dipole forces...
  36. D

    Show two unique points lie on a unique line.

    Homework Statement Suppose (a,b) and (c,d) are unique points in ##\mathbb{R}^{2}## that satisfy Ax+By+C=0. Suppose also that the solutions of Ax+By+C=0 form a line. Then the line that (a,b) and (c,d) lie on is unique.Homework Equations I showed in a previous part of the problem that there...
  37. J

    Find all critical points, and identify them as minima, maxima, or

    Homework Statement Consider the function f(x,y) = (x2 + 4y2)e(1-x2-y2) Find all critical points, and identify them as maxima, minima, or saddle points. The Attempt at a Solution I took the partial of x and the partial of y, and set them equal to 0. This is what I got: fx(x,y) =...
  38. B

    Solving for a Cubic Function with Given Points

    Homework Statement Find an expression for a cubic function f if f(1)=6 and f(-1)=f(0)=f(2)=0 Homework Equations I figured it out but I am not sure why we use the equation f(x) = a[x-(-1)](x-0)(x-2) The Attempt at a Solution Im assuming its because if u times that equation that is a...
  39. marellasunny

    Store equilibrium points of a 3D system in a (x,y,z) array

    I have a complicated 3d nonlinear differential system which I solve algebraically using maple's solve command. I aim to find the equilibrium points of the system using MAPLE and then plot these equilibrium points as a function of the 3 parameters alpha,beta,gamma(a.k.a.bifurcation diagram). The...
  40. P

    Why Mild Steel has two Yield Points ?

    Why Mild Steel has two Yield Points ? :confused:
  41. M

    2 span beam with 2 points loads. Statically indeterminate?

    Hey guys, I'm just pondering a beam problem fir a structure that I'm analysing. It appears statically indeterminate to me? The beam is bolted to a support at locations A,B & C. There are two point loads between span B-C. There are no symmetrical distances or support locations etc. Initially...
  42. M

    Find the shortest path between two points in polar coordinates

    Homework Statement Find the shortest distance between two points using polar coordinates, ie, using them as a line element: ds^2 = dr^2 + r^2 dθ^2Homework Equations For an integral I = ∫f Euler-Lagrange Eq must hold df/dθ - d/dr(df/dθ') = 0 The Attempt at a Solution f = ds = √(1 + (r *...
  43. Pejeu

    Projection of a point on the plane defined by 3 other points.

    Is there already a solution to this available somewhere? Am I not googling it right? I did come upon solutions for this with a point and plane defined by way of vectors and normals but not points. Have I stumbled upon a blank I can fill? Is there room here for a math paper? My approach is...
  44. D

    MHB Graphically solving 2X2 linear system and finding the line through 2 points

    Basically I don't know anyone in real life that can help me with this, so I need help checking to see if my answers are correct :) PART A 1) Using a graphing utility solve the following system of linear equations. Round your answer to the nearest hundredth. y = -4x+2 x - 2y = 10 My answer: x...
  45. R

    Electric Field at Points p3 & p4: Explained

    What will be the electric field at the points p3 and p4 in the attached image. I think at p3 it will be zero as it is inside the conducting surface But what about p4?? Will it be zero too? Due to negative and positive charges or will it be sigma/E(sub)o(/sub).. And why?
  46. S

    Classifying Singular Points: Regular or Irregular?

    Homework Statement Find all singular points of xy"+(1-x)y'+xy=0 and determine whether each one is regular or irregular. Homework Equations The answer is x=0, regular. The Attempt at a Solution I know that x=0 since you set whatever is in front of y" to 0 and you solve for x, right...
  47. X

    Using 3 Points to Find Quadratic Equation in General Form

    Help! Using 3 Points to Find Quadratic Equation in General Form I have a quadratic equation question that I have to solve, but I can't seem to understand it. The question is: "Using points (1,0);(3,0);(0,-6), find the quadratic formula in General Form (ax^2 + bx + c). My teacher says...
  48. M

    MATLAB Geographical points + great circle = ellipse? (Matlab)

    I'm doing this in Matlab but it's not restricted to any particular software. I have a bunch of geographical points (x,y coordinates for each) and I want to take all the points that are 50 km or closer to the reference point. I took the great-circle equation to convert geographical longitude...
  49. L

    Derive the general formula of the equation of a circle for the points

    Homework Statement 1. (a) Find the equation of the circle with the straight line joining A(1;-1) and C(3; 4) as diameter. (b) Hence or otherwise, derive the general formula (x - x1)(x - x2) + (y - y1)(y - y2)=0 of the equation of a circle for the points A(x1; y1) and C(x2; y2): Homework...
  50. Ascendant78

    How to find derivative critical points that DON'T use ref. angles?

    Homework Statement I am trying to figure out how to solve for problems that give a function and ask for the critical points. However, the ones I am having difficulty with are the ones that have multiple trigonometric functions included in them.Homework Equations Find the critical points of the...
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