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. xyz_1965

    MHB Calculating Height and Distance of a Mountain at Sea

    From points A to B at sea, the angles of elevation to the top of the mountain T are 37 degrees and 41 degrees, respectively. The distance between points A to B is 80 meters. 1. Find height of the mountain. 2. Find the distance from point A to the bottom of the mountain. I think making two...
  2. S

    B Understanding 3D Temperature Direction Change with 8 Corner Points

    So I have a cube in 3d space and this cube is made out of 8 coordinate points at each corner. Now I have a temperature reading at each point of these corner points. Inside the box I have another point, I want to be able to use the information from the 8 points surrounding the the one middle...
  3. LCSphysicist

    Determine whether a set of points lie on the same plane

    AB, AB, AD are Ld, that is, the three vectors lie on the same plane, so, "yes, the points lie on the same plane" However, AB CB and AD are Li, that is, the three vectors span the space R3, and don't lie in the same plane, so, how can four points that lie on the same plane, that can generate only...
  4. F

    Parabola: Vertex =(?,0) and know 2 arbitrary points. How solve x?

    Summary:: I have a upwards opening parabola where I know the Y vertex point = 0. I also know 2 arbitrary points separated by a step size on the parabola. How can I solve for x at the vertex point? X=horizontal plane Y=vertical plane I have a upwards opening parabola where I know the Y vertex...
  5. M

    I Reduced chi square for few data points

    Hello! I need to make a straight line fit to 8 points, with errors on them. The data is like this ##x = [1,2,3,4,5,6,7,8]##, ##y=[377.488 691.191 , 1030.319, 1428.801, 1753.884, 2113.065 , 2398.642, 2797.664]##, ##y_{err}=[97.145, 131.452, 160.492, 188.997, 209.397, 229.840, 244.879...
  6. M

    Find the set of points that satisfy:|z|^2 + |z - 2*i|^2 =< 10

    Hello everyone, I've been struggling quite a bit with this problem, since I'm not sure how to approach it correctly. The inequality form reminds me of the equation of a circle (x^2 + y^2 = r^2), but I have no idea how to be sure about it. Would it help just to simplify the inequality in terms...
  7. A

    Find the undefined points given this graph

    are the points where the derivative is undefined ##x=-4,-2,0, 4##?
  8. A

    Find points of inflection and state only the x values

    Since the answer wants x values only, will my answer be ##x=-\frac{1}{\sqrt{2}}, 0, and \frac{1}{\sqrt{2}}##?
  9. C

    I An interesting point regarding critical points and extrema

    Hi all, I have recently faced some problem about distances between two curves, and (re?)"discovered" an interesting point that I would like to share with you. In the following, we consider a function of two variables ##f(x,y)##, but it should be clear that the definitions and the result is...
  10. karush

    MHB C Expected value for the total number of points awarded on any toss of coins

    https://www.physicsforums.com/attachments/9838 well not sure why we need 3 different coins other than confusion also each toss at least 2 coins have to have the same face frankly not sure how any of these choices work didn't want to surf online better to stumble thru it here and learn it better...
  11. G

    MHB Are Critical Points and Roots Interchangeable in Math?

    Might be I am asking a silly question but really want to clarify that would critical points and roots are same terms use interchangeably? I mean we can use critical point as value of x and root also as value of x then what is the difference between?
  12. Adesh

    How to find the curl of a vector field which points in the theta direction?

    I have a vector field which is originallly written as $$ \mathbf A = \frac{\mu_0~n~I~r}{2} ~\hat \phi$$ and I translated it like this $$\mathbf A = 0 ~\hat{r},~~ \frac{\mu_0 ~n~I~r}{2} ~\hat{\phi} , ~~0 ~\hat{\theta}$$(##r## is the distance from origin, ##\phi## is azimuthal angle and ##\theta##...
  13. P

    Superluminal moving points 4-velocity

    The first thing I want to do is reconcile the two definitions of 4-velocities ##\tilde{U} = \frac{d \tilde{R}}{d \tau} = c \frac{ d \tilde{R}}{ds}##Start off with the usual definition of 4-velocity##\tilde{U} = \frac{d \tilde{R}}{d \tau}##we know that d \tau^2 = \frac{ds^2}{c^2} \Rightarrow d...
  14. P

    MHB Find the points of intersection of a line and a circle

    How do I algebraically prove how many times the line y=-5 intersects the circle (x-3)^2 + (y+2)^2 =25?
  15. K

    I Linear fit on the difference of data points

    Hello! I have some data points obtained from a measurement and one of them is defined as the reference point. I need to compute the difference between that reference point and all the others (including itself) and plot the difference as a function of another variable (which doesn't have an error...
  16. jisbon

    Determine the points where the net magnetic field is zero

    Unsure about this, but here is my attempt: B from the first wire: ##\dfrac {\mu _{0}I}{2\pi r} ## B from the second wire: ##\dfrac {\mu _{0}I}{2\pi r} ## Let the point be (x,y) Can I state that: ##\dfrac {\mu _{0}I}{2\pi y}+\dfrac {\mu _{i}\left( I/3\right) }{2\pi x}=0## Hence the magnetic...
  17. B

    Rayleigh criterion: finding the angular separation between 2 distant points

    I have tried this question and have gotten to an answer from the following steps So my angular separation is 2.85 millidegrees. Have I done this right with the formula I have made use of? Any help would be great, thanks!
  18. Math Amateur

    I Limit Points & Closure in a Topological Space .... Singh, Theorem 1.3.7

    I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.2: Topological Spaces ... I need help in order to fully understand Singh's proof of Theorem 1.3.7 ... (using only the definitions and results Singh has established to...
  19. scottdave

    Reaction Score and Points for a PF user

    I started noticing some numbers next to each person's profile: Reaction Score and Points. I tried searching for the meaning of these values. Either it is hidden in plain sight, or I'm a bad searcher ?:) My guess is that Reaction Score has to do with the number of likes (or the other positive...
  20. B

    Phase difference between 2 points on a wave

    So to do this problem I need the relevant formula for phase difference which is this: I first need to find wavelength and this is lambda = velocity/frequency So lambda = 257/641 = 0.40093603744 m Hence phase difference (in radians) = 2pi * (2/0.40093603744) = 31.3 rads My concern is that...
  21. N

    B Exploring Dew Points and Relative Humidities

    Hello, I have recently gotten ahold of a hygrometer and was wondering if there were any interesting topics I could research with measured dew points and relative humidities. Thanks in advance.
  22. Decimal

    A Path between fixed points in a logistic map

    Hello, I have a question about period doubling and fixed points in the logistic map. Let's say I have a basic logistic map, ##f(x) = 4\lambda x(1-x)##. Let me then compare 1,2 and 4 iterations of this map on fixed points. I assume that ##\lambda## is large enough such that two period doublings...
  23. mmaismma

    Points on either side of a line

    Summary:: The set of values of ##b## for which the origin and the point ##(1, 1)## lie on the same side of the straight line ##a^2x+aby+1=0## ##\forall~a\in\mathbb{R},~b>0##.(a) ##a\geq1## or ##a\leq-3## (b) ##a\in~(-3,~0)\cup(\frac13,~1)## (c) ##a\in~(0,~1)## (d) ##a\in~(-\infty,~0)## I tried...
  24. Addez123

    Find all points of intersection

    First I try to visualize it: w = Surface 1, is a spheroid w_2 = Surface 2 is a cone stretching up the z axisThen I calculate their gradients: $$∇w = (8x, 2y, 2z)$$ $$∇w_2 = (2x, 18y, 2z)$$ The points where they intersect at 90 degrees is when dot product is zero. $$∇w \cdot ∇w_2 = 0$$ $$16x^2 +...
  25. D

    I The Tensor & Metric: Spacetime Points & Momentum Flux

    The components of the energy tensor are defined sometimes as the flux of the ith component of the momentum vector across some component jth of constant surface. But isn't the tensor a function of points of spacetime just as the metric? How can you evaluate a surface of j when the tensor is a...
  26. Addez123

    Find all points where the level surface tangent plane is parallel

    First I find the normal vector given any position: $$w(x, y, z) = x^2 + y^2 + z^2$$ $$∇w(x, y, z) = (2x, 2y, 2z)$$ Normal vector of plane: $$w_2 = x - 2y + 3z$$ $$∇w_2 = (1, -2, 3)$$ ##∇w = ∇w2## => point where planes are parallel = (1/2, -1, 3/2) This is completely off, but I can't find any...
  27. Charlie Cheap

    Automotive Spark length of a points ignition compared to an HEI system

    Having made/modified my own distributors for years, I was surprised to see MSD (Multiple Spark Discharge) company show their graph using Points, HEI, and Performance HEI comparisons, with little difference in Horse Power made, up to about 6000 RPM. I know a points mechanical system makes a...
  28. funmi

    Voltage between two points on an empty wire and also across a resistor

    In a closed circuit the battery sets up a potential difference which causes charge to flow. I understand potential difference as the measure of electric potential energy per unit charge, the amount of energy required to move a charge from one point to another per charge. for example when a...
  29. RichardWattUK

    I Translating points on the axes

    Summary: I need to translate points on coordinate axes as part of a calculation process Hello everyone, I've created the diagram below to try and explain what I am trying to do as part of an existing software app that's used to generate profiles and programs to drive a CNC machine to grind...
  30. G

    MHB What is the Surface Area of a Square with Given Points and Side Lengths?

    Let E, F be such points inside the ABCD square that | ∢AEF | = | ∢EFC | = 90∘ and | AE | = 2, | CF | = 6 and | EF | = 6. Calculate the surface of ABCD.
  31. Schwann

    B Can PDF values be equal to zero at some given points?

    Suppose we have a function which looks like this: It seems like it meets criteria of probability density functions: this function is asymptotic to zero as x approaches infinity and also it is not negative. My question is: if at some points this function reaches zero (as I have shown above)...
  32. D

    Odd/even function and critical points

    I have ##3x^{2/3}## as an even function although there is some debate as to this in another thread I started but the (5-x) factor means the function is neither odd or even. I also see the domain as all real numbers. Hopefully this is right ? To find the critical points I differentiate f(x) to...
  33. D

    Calculating the average linear speed of all points in a rotating sphere

    Is there a way to calculate the average linear speed of all points in the volume of a sphere rotating on a single axis? Since points closer to the axis of rotation and the poles move slower than points further out, would the average speed be a simple function of r/2 and pi? It would seem that...
  34. gregorspv

    Removing connections between equipotential points in solving circuits?

    A sketch of the setup and the equivalent circuit are attached. I believe the correct way to solve this is to redraw the circuit as shown in Fig. 3 and then remove the connections between evidently equipotential points, which reduces the problem to a familiar setup of in parallel and in series...
  35. theycallmevirgo

    Suggested starting points for 3d scanner design

    My school recently got an industrial robot arm with a precision turntable. I was thinking how to use this with some cameras/lasers to make a 3d scanner. Where would you folks recommend I start looking?
  36. L

    MHB Compute probability closeness between points in a 2D surface

    Hi all, Sorry, in my first message, I posted this question in the Basic Probability section, and so I moved it to this section. I have a surface (for example, a blank paper). In this surface, I have some elements of the set "A" randomly distributed. In this surface, I also have some elements...
  37. J

    I Need help with a proof involving points on a quadratic

    Summary: Given three points on a positive definite quadratic line, I need to prove that the middle point is never higher than at least one of the other two. I am struggling to write a proof down for something. It's obvious when looking at it graphically, but I don't know how to write the...
  38. JorgeM

    Algorithm for the min. distance over a set of points randomly distributed

    The only restrictions are: -There are N points randomly distributed over an X-Y plane and it is necesary to pass every point at least 1 time, in order to get the path of the minimun distance throught all of them. -If does not matter how many times you pass any of this points. -You have to pass...
  39. S

    Phase difference between two points

    I find λ first and I get λ = 3/10 m phase difference = ##\dfrac{2 \pi (1) }{\dfrac{3}{10}} = 6.7 \pi## Answer key = B What is my mistake? Thanks
  40. R

    How to Find the Slope of Points A and B and Compare to Point C?

    https://www.freemathhelp.com/forum/attachments/1568726293258-png.13677/ solution] https://www.freemathhelp.com/forum/attachments/1568726452915-png.13678/ take the C-Ordinates of A,B use the formula TO FIND OUT THE SLOPE Of A,Band then compare it to the c-ordinates that you already have for CD Am...
  41. I

    Weight Distribution Across Multiple Points

    Thanks in advance to anyone that can help me solve this problem, its causing me a real headache. I need to transport a rather large frame that supports a large heavy item. The weight is not evenly distributed along its length. I know the various distances between the supports, the total weight...
  42. A

    MHB Proving parallel lines using points and vectors

    Hey, this is a problem given to me by my prof for an assignment, and the TAs at my tutorials haven't been much help. Was wondering where to go with this question. Also, I'm a uni freshman who isn't used to the whole concept of proofs, and a lot of what my profs say seem to be a slew of...
  43. colcol500

    Why Would the Pressure at Points 1 and 2 be the Same?

    Why would the pressure at points 1 and 2 be the same? I understand they are at the same elevation and due to Pascal's law should have the same pressure, but isn't water denser than air? So in turn, wouldn't it exert more pressure than air? So then how come despite all the water pushing down on...
  44. B

    I Selecting two points in [0-1] being the same p>0?

    You and I each choose an undisclosed real number from 0 to 1. Then we compare them to see if we chose the same number. p(a)=0, p(b)=0 -> p(a=b)>0 ? I seem to recall that the probability of one instance of choosing a particular number should be zero, but if two people are doing so and the...
  45. Spinnor

    B Can you pick out the random set of points in a plane?

    The above screen shot is from, @ the 1:43 mark. Which set of points is random? Answer below. The right set of points.
  46. Eclair_de_XII

    If you were a linear algebra teacher, would you dock points for this?

    Let's say you were proctoring some test that required proofs of Jordan canonical forms and rational canonical forms. Would you dock points from a lazy student abbreviating the former as "J-canonical forms" and the latter as "##\mathbb{Q}##-canonical forms" in their proofs?
  47. PainterGuy

    B Are there any points other than the origin where cosines are totally in phase?

    Hi, This question just came to my mind and I thought I should confirm it. Are the cosine functions with the same amplitude but different frequencies are totally in phase at any other point other than the origin? The frequency, f, could be anywhere between 0 < f < ∞. I'm sorry if the answer is...
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