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. shott92

    Moments about two points of an object

    Homework Statement hi guys this is an image of the rear wheel of a push bike going into a corner as well as what i think are relevant forces, i need to calculate the moments or torque at A (the contact patch) and B (the hub centre) this is to calculate the force on the left hand side of the...
  2. D

    Saddle points of functions of n variables

    Hi, I need some clarification on exactly which critical points are saddle points. The definition I am finding everywhere is that "A saddle point is a stationary point that is neither a local minimum nor a local maximum." My question is: what kind of minimum and maximum is the above definition...
  3. U

    Finding equation of a plane with 3 points

    Homework Statement Homework Equations N/AThe Attempt at a Solution The problem is that I don't get the right answer which is: 2x + y + 7z = -3. Can you please help me find where I went wrong?
  4. N

    Help required w/ vectors: general equations, intersection points

    Homework Statement In this question we consider the following six points in R3: A(0,10,3) B(4,18,5) C(1,1,1) D(1,0,1) E(0,1,3) F(2,6,2) a) Find a vector equation for the line through the points A and b b) Find general equations for the line from a c) Find a vector equation for the...
  5. A

    Resistance between two points in complex circuit

    Homework Statement I have attached a circuit scheme from old textbook. Basically, there are 17 resistors which every has resistance R and we need to find the resistance between points A and B. (I added numbers to each resistor so it would be easier to communicate). Extra question of mine - is...
  6. J

    What is the percent span for the old and new set points

    In order to increase production rate a reactor set point was increased from 160 psig to 190 psig. The reactor pressure transmitter was recalibrated from 0-200psig to 0-300 psig what is the percent span for old and new set points. Can you please explain to me how to find the answer. The book says...
  7. R

    MHB Runge-Kutte: stability of fixed points

    Show that the explicit Runge-Kutta scheme \begin{equation} \frac {y_{n+1} -y_{n}}{h}= \frac{1}{2} [f(t,y_{n} + f(t+h, y_{n}+hk_{1})] \end{equation} where $k_{1} = f(t,y_{n})$applied to the equation $y'= y(1-y)$ has two spurious fixed points if $h>2$.Briefy describe how you would investigate...
  8. J

    MATLAB Export Standardized Matlab Data Points To Excel

    Dear Experts! I currently have a sets of data with different time interval and I plotted it into MATLAB from excel. Is there a way for me export the files or calculate the mean, standard deviation etc so that I can calculate error etc. It would be great if I could do it in Matlab. I am...
  9. D

    Equilibrium Points of a System given its Lagrangian

    Given a system's Lagrangian, How can we calculate the equilibrium points corresponding to the system? also how can we determine if that's a stable equilibrium?
  10. P

    MHB Finding equation of parabola with 3 points given

    Hello, I am supposed to find the equation of a parabola with the points (8,10)(11,10)(10,20/3). I have tried putting these values into y=ax^2+bx+c, but get different answers each time, like c=-160, which is not right! A step by step explanation would be greatly appreciated, as I am very unsure...
  11. K

    Calculating time to arbitrary points of distance with initial velocity

    I've been trying to tackle this question for a while now, but I'm afraid it's not going anywhere without some outside help. So let's say we have some body falling towards a planet without any atmosphere, and let's assume that the initial velocity is not equal to zero. Given these conditions I'm...
  12. R

    Equidistant points on the suface of a sphere

    If we are asked to place 3 points on the surface of a sphere so that they are equidistant, it's easy to visualize that the result will be such that the three points form an equilateral triangle. If asked to place 4 points it's easy to visualize that the result is such that the points arrange...
  13. A

    Polar Coordinates - Graphing the points of when theta<0

    Polar Coordinates --- Graphing the points of when theta<0 Hi everyone, I'm working with an online graphing program desmos.com. It's great, and actually tons of fun. I'm currently working with polar coordinates but the only flaw of this grapher is that when working with polar coordinates...
  14. N

    Why do all points on a uniform disc have the same angular velocity?

    ω = dΘ/dt if any points on a uniform disc have the same angular velocity then the corollary implies that any point on the disc must transverse 2π rad in the same amount of time. Is there a mathematical way to demostrate this or is this only demostratable purely by experiement?
  15. M

    Representing Points: Examples and Applications in Dynamics of Machines

    Hi, I have to find examples,application about points which represent a rigid body.In the lecture dynamics of machines we call them substantial points. the points have a mass which is equal to rigid body for example a mechanism. to do this we use kinetic energy equalities...
  16. N

    Finding stationary points. no x in second derivative

    Homework Statement Just started getting introduced to calculus and a couple applications. After I've found the stationary point i understand that i can put the x value into the second derivative to find if its a maximum or minimum point. i.e 12x-2x2 ƒ'(x)= 12-4x 12-4x=0 x=3 so...
  17. S

    Singularity points + Laurent series

    Homework Statement Find and determine the type of singularity points for ##f(z)=\frac{\sin(3z)-3z}{z^5}##. Also calculate the regular and main part of Laurent series around those points.Homework Equations The Attempt at a Solution I am already having troubles with the first part. Singularity...
  18. maistral

    Intersection of an equation and discrete points.

    How do you calculate the intersection of discrete data points and an equation? Actually I have two ways already, one is to just take the equation of the discrete points then solve it using a root-finding technique. The other would be substituting the x values of the discretized points to the...
  19. applestrudle

    Find the locus in the complex plane of points that satisfy

    Homework Statement find the locus in the complex plane that satisfies z -c = p (1+it/1-it) c is complex, p is real t is a real parameter Homework Equations The Attempt at a Solution there is no answer in the textbook so i wanted to check my answer. I got a unit circle...
  20. I

    MHB Exploring Singular Points of a DE: w''+z*w'+kw=0

    Hi, I'm asked to find and classify the singular points of a function w(z) in the differential equation: w''+z*w'+kw=0 where k is some unknown constant. The only singular point I notice is z=\infty. Is that right? I did a transformation x=1/z and examined the singular point at x=0 and found...
  21. J

    Spherical Coordinates: Distance Between 2 Points

    Hello, I am looking into finding geodesic distances for an ellipsoid. I will designate two points then find the distance between them. This will be my geodesic distance. I have put together a schematic (attached) for reference. Ultimately I need to know the distance D as shown on the...
  22. P

    Finding the graph formula with know points and other equation.

    I have an equation for determining the acceleration of an object being propelled by a constant power source, that is affected by air resistance: a = \frac{P}{mv}-\frac{CDpAv2}{2m} Since F = \frac{P}{v} I am trying to graph this as a velocity-time graph, however, I don't know how to do it...
  23. K

    Function/Curve that goes through certain points?

    Is there a simple way to make a function go through a set of points? Something similar to what I'm looking for is this; a function that creates a smooth curve crossing y=0 at a list of x-coordinates This will cross y=0 at x=-10, x=-2, and x=5 f(x)=(x-(-10))(x-(-2))(x-(5)) This is...
  24. D

    MHB Difference between distance from two fixed points is a positive constant

    The set of all points \(P(x,y)\) in a plane, such that the difference of their distance from two fixed points is a positive constant is called? ellipse hyperbola parabola circle How do I work this out? Are the two fixed points supposed to be the foci? Wouldn't this also depend on the how one...
  25. MarkFL

    MHB Bob's question at Yahoo Answers regarding equilibrum points of ODE

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  26. R

    Stationary Points: (0,0.5) (0,-0.5) (1.25,0) (-1.25,0) Maximum Point

    Homework Statement Find the stationary point(s) and also find out whether the stationary point(s) are minimum/maximum z = 2x + 5y - 5y2 - 5x2 - 4xy - 1000 Homework Equations - The Attempt at a Solution I'm not 100% sure if I was correct and laid the answer out properly, can someone please...
  27. P

    Calculating the loads at different points on a base frame

    The attachment provided shows a frame in which a large fan is to be rested on. The fan has a weight of 6,060 kg and the location of the centre of gravity is shown in the attachment. I would like to know how to calculate the loads at each point. Could anyone please provide some help on this problem?
  28. X

    Calc 3 Range of a function (set of points)

    Homework Statement See attached image Homework Equations they are provided in the image. I see the domain is used The Attempt at a Solution I can't figure out how they went from step one to step 2. where does the -81 come from and the 9 multiplied to the function in the middle. I...
  29. L

    Rays, points and line segments

    Homework Statement Let A, B and D be points. If ##D\notin \vec{AB}## in a metric geometry, prove that ##\vec{AD}\cap\vec{AB} = \{A\}.##2. Relevant definitions Ray: If A and B are distinct points then the ray from A toward B is the set ##\vec{AB} = \overline{AB} \cup \{ C \in P \ | \...
  30. Saitama

    MHB Selecting three points on a circle

    (I am not sure if this is the right place to post it but since my solution involves some Calculus, I decided to post it here.) (Also, I am not well versed with the correct words and terms to be used while doing geometrical probability problems, I am sorry if I write something wrong. :o )...
  31. P

    Points on a Circle: Find Value of 'a

    Homework Statement For what values of a do the points (4,3),(-3,1),(1,a), and (1,5) lie on a circle? The Attempt at a Solution So my solution came down to getting the equation a(x^2+y^2)+bx+cy+d=0 Making a matrix with the first three points, doing R1-R4, R2-R4, R3-R4, then reducing the matrix...
  32. D

    Measuring Voltage Across Two Points In A Series Circuit

    Homework Statement The series circuit is connected as follows: A 12V Battery -> 8ohm resistor -> 7V Battery -> 4ohm Resistor -> Earth. The problem states that if a voltmeter was connected from a point between the 12V battery & the 8ohm Resistor and connected to a point above the Earth then...
  33. H

    MATLAB How to Plot Single Points in 3D Space Using MatLab?

    This might be an unusual thread but is that i really can't figure out how to plot single points in 3D space using MatLab. I need to plot the points (1,0,0) , (0,1,0) and (0,0,1)
  34. MarkFL

    MHB Ernesto's question at Yahoo Answers regarding finding a locus of points

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  35. V

    Number of points in mesh (Comsol 4.3b)

    Hello everybody. I'm new with Comsol and I'm working with the 4.3b version. I'm trying a simulation of a sphere (in 3D, of course) and I want to figure out in how many points is Comsol evaluating the ecuation. I know I set the maximum and minimum size of the tetrahedrals (I'm using tetrahedrals...
  36. S

    Potential different between two points in electric field

    Homework Statement If E = 6000 V/m, find the potential difference between point X and Y! a. 2400 V b. - 2400 V c. 6000 V d. - 6000 V e. 3000 V Homework Equations E = V/d not sure for other equations The Attempt at a Solution The electric field of X and Y will be the same...
  37. L

    Proving Infinitely Many Points on a Line in Geometry

    Homework Statement Prove that a line in a metric geometry has infinitely many points.2. The attempt at a solution I can't use any real analysis, like completeness. I can only use geometry to prove this, specifically distances and rulers. Intituvely I understand why. Any segment with at least...
  38. K

    Finding base circle with coordinates of two points of involute curve

    Hi, I have an involute gear and measured co-ordinates of two arbitrarily chosen points (on the involute portion) of a tooth. Can I find out the base circle with this information? Thanks.
  39. S

    Differential Equation -> Behaviour near these singular points

    Differential Equation ---> Behaviour near these singular points Homework Statement Problem & Questions: (a) Determine the two singular points x_1 < x_2 of the differential equation (x^2 – 4) y'' + (2 – x) y' + (x^2 + 4x + 4) y = 0 (b) Which of the following statements correctly describes...
  40. V

    MHB Find the slope of the secant to the curve f(x)=-3logx+2 between these points:

    The question was too long to post in the title so I just wrote down the first part. I hope this is alright. Here is the question that I am doing right now: This is the graphical representation (thanks to Desmos Graphing Calculator): So I have substituted the points in the equation to get...
  41. M

    How do I find and classify stationary points?

    Homework Statement See attached for problem Attempt at solution ∂f/∂x = 3x2+12x ∂f/∂y = 3y2-12y Factorise x(3x+12) x=0 or, 3x+12 = 0 → x= -4 y(3y-12) y=0 or, 3y-12=0 → y=4 I find the next stage difficult, because there are no mixed terms in the polynomial any of the values i...
  42. C

    Topological indistinquisable points and set theory.

    In set theory a set is defined to be a collection of distinct objects (see http://en.wikipedia.org/wiki/Set_%28mathematics%29), i.e. we must have some way of distinguishing anyone element from a set, from any other element. Now a topological space is defined as a set X together with a...
  43. C

    MHB Intersection Points & Finding Unknown Variable

    The line with equation y = x + k, where k is a real number, intersects the parabola with equation y = x^2 + x − 2 in two distinct points if I first made the equations equal each other x + k = x^2 + x − 2 0 = x^2 -2 -k From here i thought you use the discriminate a=1 b=o c=-2-k but this...
  44. B

    What is the Intuition Behind Unicursal Curves and Their Double Points?

    To quote Goursat: Would somebody mind developing some intuition for this statement, along with an example or four (if not an intuitive proof), that would help motivate me to pick up classical books on analytical geometry & encourage me to wade through hundreds of pages to get to results like...
  45. S

    Techniques for Solving Equations with Irregular Singular Points

    In our differential equations class, we learned about Ordinary and Regular Singular Points of a differential equation. We learned how to solve these equations with power series using the Frobenius method. I was wondering what happens when there is an irregular singular point, like...
  46. Ascendant78

    2-Dimensional Torque problem involving two torque points.

    Homework Statement Homework Equations The Attempt at a Solution Excuse me for the large images. I figured it would be easier than re-writing it all and wanted to show what I've been doing. I know my work isn't too clear, but in short, I haven't dealt with a problem involving...
  47. M

    Finding accumulation points of ##S=\{\frac{1}{n}+\frac{1}{m}\}##

    Homework Statement . Let ##S==\{\frac{1}{n}+\frac{1}{m}, n,m \in \mathbb N\}##, find all the accumulation points of ##S## and decide whether ##S## is compact or not. The attempt at a solution. I've found that the points of the form ##\frac{1}{n}## and ##0## are accumulation points. For the...
  48. M

    Why Does Mild Steel Only Have One Yield Point?

    Homework Statement I had a Young's Modulus experiment in lab. Our specimen, which was used, was mild steel. After plotting the graph I realized that there was only one yield point. However, as I read from many sources, there must be two yield points for mild steel(upper and lower). I am pretty...
  49. R

    Finding the potential difference given two unknown points.

    Homework Statement I am trying to determine at what points the given potential difference will be using v=k(q2)/r2-k(q1)/r1. I know the location of both q1 and q2 using cartesian coordinates, as well as, there magnitudes which I have set each to one. q1=(1,0) q2=(-1,0) Homework Equations...
  50. 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...
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