What is Linearize: Definition and 23 Discussions

Linear A is a writing system that was used by the Minoans (Cretans) from 1800 to 1450 BCE to write the hypothesized Minoan language. Linear A was the primary script used in palace and religious writings of the Minoan civilization. It was discovered by archaeologist Sir Arthur Evans. It was succeeded by Linear B, which was used by the Mycenaeans to write an early form of Greek. No texts in Linear A have been deciphered.
The term linear refers to the fact that the script was written by using a stylus to cut lines into a tablet of clay, as opposed to cuneiform, which was written by using a stylus to press wedges into the clay.
Linear A belongs to a group of scripts that evolved independently of the Egyptian and Mesopotamian systems. During the second millennium BCE, there were four major branches: Linear A, Linear B, Cypro-Minoan, and Cretan hieroglyphic. In the 1950s, Linear B was deciphered as Mycenaean Greek. Linear B shares many symbols with Linear A, and they may notate similar syllabic values. But neither those nor any other proposed readings lead to a language that scholars can read. The only part of the script that can be read with any certainty is the signs for numbers—which are, however, only known as numerical values; the words for those numbers remain unknown.

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  1. U

    B How can I linearize my (negative slope) quadratic graph?

    I am doing an investigation of how much a beam sags, based on the distance from its midpoint. This is my hypothetical equation: The relationship between distance, d and sag, s is not a linear relationship. Below, is the determined relationship between the variables, linearized by natural...
  2. J

    A Can I linearize this equation?

    By using the laplace transform: $f(t)=sin(Φ(t))$ I want it in the form: F(S)/Φ(S) The purpose is to linearize it in order to put it into a larger transfer function, so far my only solution is to simplify it using taylor expansion.
  3. D

    Linearize a function about a solution to check for stability

    <Moderator's note: Moved from a technical forum and thus no template.> Technically the homework question is at graduate level, but the area I'm having trouble on I feel is at an undergraduate level. In the question we studied a particle rotating on a vertical hoop that is also rotating about...
  4. F

    How to Linearize Data for Solar System Motion Analysis?

    Hi, I'm supposed to linearize this set of data: "Below is a data set which includes information about the motion of the objects in the solar system. Note: the periods are listed in Earth years (time it takes the Earth to complete one orbit around the Sun) and the average distances are reported...
  5. R

    How the launch angle affects the horizontal distance/range?

    Homework Statement I'm doing a lab report about how the launch angle affects the range of a projectile. Independent Variable Angle of Launch Dependent Variable Range or distance I did an experiment with three trials and here are my results: And then plotted the data. However, it's a...
  6. S

    I Linearizing vectors using Taylor Series

    I am linearizing a vector equation using the first order taylor series expansion. I would like to linearize the equation with respect to both the magnitude of the vector and the direction of the vector. Does that mean I will have to treat it as a Taylor expansion about two variables...
  7. A

    B How do I linearize this graph?

    Hello! I'm completing my IB Physics IA and after collecting my data and plotting the raw graph my graph seems to be a negative parabola. In order to linearize it I though one had to square the x-axis data; however I simply get the same graph shape. What am I supposed to do? Only when I plot the...
  8. C

    Muon Decay: Homework Statement & Solution

    Homework Statement By taking the natural logarithms of each side, that this equation can be linearized by making a semi logarithmic plot. Identify the variables and state what the slope , and y-intercept would represent. Homework Equations F=Fo*e^-(d/cτ) The Attempt at a Solution I tried...
  9. C

    Moment of Inertia Graph

    Homework Statement The moment of inertia (I) of the bicycle wheel about the axle, can be obtained graphically using the equation: rm(g-a) = I(a/r)+Frictional Torque. Explain how to form two variables so that, I and Frictional Torque can be obtained from a linear graph. Identify the constants...
  10. V

    How do I linearize a square root graph?

    Homework Statement These are the Points. X values: 0, 1.98, 3.96, 5.94, 7.92, 9.9 Y values: 1.98, 7.13, 9.08, 11.04, 12.57, 14.51 I need to find the original equation and the linear equation. I can't seem to find the line for square root graphs. 2. The attempt at a solution I know it's a...
  11. djh101

    What could cause data to linearize at a higher power than it should?

    For our physics lab we found the magnetic field produced by a magnet at different distances. When graphing the data, it was supposed to produce a linear graph when we plot the field strength against 1/r3. However, my graph doesn't become linear until 1/r5 (however, it does linearize quite nicely...
  12. G

    How Do You Linearize the Euler Equations for Fluid Motion?

    1. Homework Statement Linearize the euler equations of fluid motion, write as a single partial differential equation for example the pressure pertubation Homework Equations The euler equations of fluid dynamics The Attempt at a Solution Not sure how I would be able to do this.
  13. J

    Is it possible to linearize the non-linear equation in this linear programming?

    Have typed the question is latex format, here it is: http://i.stack.imgur.com/grxgI.png
  14. M

    Linearize 2nd Order Diff Equations

    Hello folks, I am attempting to implement an LQR controller to a quadrotor and in order to do this I need to linearize the model's equations about a certain trim point, in this case hover, which makes all initial conditions equal to 0. However I am having a lot of trouble linearizing these...
  15. R

    How do you linearize this equation (terminal velocity in fluid)?

    Homework Statement Linearize the following equation: \dfrac{1}{r} = (\dfrac{2g(\rho - \rho\prime)}{9\eta})(\dfrac{r}{v_{0}}) - \dfrac{K}{R} Here, v0 is the observed velocity dependent upon r, and we are trying to get η and K somewhere in the intercept and slope. So we will try out different...
  16. R

    Methods to linearize terms of PDE

    HI, I have solved the diffusion equation using the central difference scheme. Next, I would like to code this diffusion equation with a nonlinear term added to the equation. The full equation is as follows: dS/dt = Ds * d^2S/dx^2 - aS/b+S Since aS/b+S is a nonlinear term, I need to...
  17. R

    Linearizing Equations: Finding Square Root of x from Plotted Data

    The formula used for linearization is y=(m)(Square root of x) + b correct? How do I find the square root of x if given various plotted data?
  18. B

    Linearize poisson-boltzmann equation

    Homework Statement Need to linearize the poisson-boltzmann equation to be used later in the problem. I simply have never linearized an equation and searching google didn't really help me understand.Homework Equations http://img215.imageshack.us/img215/2149/eqnq.jpg The Attempt at a Solution...
  19. P

    How to linearize ODEs Homework Statement

    Homework Statement A problem in classical mechanics, dealing with an object in space collecting mass as it passes through a dust cloud has led me to the following nonlinear ODE. I'm quite sure it is the correct equation, my old man checked it out. But being the engineer he is, he would just go...
  20. Z

    Linearize around equilibrium

    Hello! I have got three exercises http://images46.fotosik.pl/55/068c355872bdd5a9.jpg . I was working on second and third and I understand them more or less. Unfortunately I don't know at all how to solve first exercise. I was looking for some materials which may help me to solve it and I found...
  21. E

    Is there anyone who can help me with this topic?

    Is there anyone that can help me about linearization of the equations around x=teta=0 ? It is a bit urgent. I am waiting answer from the calculus experts.
  22. S

    How to Linearize a System of Differential Equations with Equilibrium Points?

    For this system of differential equations \frac{dx}{dt} = x(0.8 -\frac{0.8x}{3129} - \frac{y}{x+1000}) \frac{dy}{dt} = y(-0.5 + \frac{x}{1000+x}) for all x,y \geq 0 now the equilibrium points are (x,y) = (0,0), (1000,1088), (3129,0) i need to linearize this system such taht i can...