What is Analysis: Definition and 999 Discussions

Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development.The word comes from the Ancient Greek ἀνάλυσις (analysis, "a breaking-up" or "an untying;" from ana- "up, throughout" and lysis "a loosening"). From it also comes the word's plural, analyses.
As a formal concept, the method has variously been ascribed to Alhazen, René Descartes (Discourse on the Method), and Galileo Galilei. It has also been ascribed to Isaac Newton, in the form of a practical method of physical discovery (which he did not name).

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  1. REEEEEEEE

    How Does Increasing Resistance Affect Current Flow in a Circuit?

    For example given the circuit I make the graphs : and comment that or graph 1 as resistance grows larger the current grows smaller (is inversely proportional) I will use the simulation and experimental data to check the values and conclude that this act is true. Is this what I'm supposed to do?
  2. R

    Finding the maximum of a function

    Why does f attain its local maximum at r' in (p,q). Is it because we have f(x)<= f(r') for all x in (p,p+delta)?
  3. I

    Slider Crank Force Analysis: Understanding the Equilibrium Forces and Results

    I am in a mechanical design class that has been focusing on the slider crank mechanism. My professor tends to just provide derived equations without showing the analysis. I feel like I am missing out on some key understanding because of this. Specifically, I am trying to do what should be a...
  4. okara61

    A Coil excitation adjustment on 3D Ansys Maxwell transient analysis

    Hi. I am making a 3D Ansys Maxwell project to design DC electromagnet. My model as in attached pictures. I have couple of questions. 1- How important the width value of sheet of coil terminal? Altough I did not change number of conductors and current of coil, changing the width of sheet of the...
  5. P

    Dimensional Analysis: Solving Confusing Steps

    I tried to use dimensional analysis, there is variable for part i) m= P,A and Y also parameter is used in analysis is n=3(M,L,T). So m-n=0 number of dimensionless analysis group. I am confused at this step however I did this calculation to reach solution: i) P=MLT-2 (Ice Force) m-n=4-3=1(number...
  6. T

    Choosing an Axis of Rotation for Equilibrium Analysis

    If I choose my axis of rotation for torque analysis to be the left-end of the plank, I can get the correct results. If I instead choose the com point -- I run into a dead end. Is there a way of a priori knowing this would happen? Thank you.
  7. PhysicsTest

    Inductor Circuit Simulation: Understanding Current Rise and Voltage Output

    I am trying to understanding the inductor circuit. I have drawn the below circuit and try to simulate The Inductor current comes to 500mA and Vout is 5V as per simulation. The current in inductor should slowly increase from 0A to 500mA but i cannot see that in the waveform. Is my understanding...
  8. P

    LTSpice functionalities regarding its Frequency Domain Analysis

    The time domain analysis is easier to plot compared to analyzing the frequency with respect to the phase. But, LTSpice makes it look really easy. So, for a small signal AC analysis, LTSpice does use a AC voltage source for its frequency domain analysis function. This must be a really convenient...
  9. Mr.Husky

    Other Learning Real Analysis at My Own Pace

    Hi everyone, I recently started studying real analysis from baby Bruckner couple. It feels me like, "I am running too fast to reach my destination but in the process of running, I decreased my oxygen level." So, I stopped trying to complete uni coursework fast. But rather I started reading...
  10. Y

    SEM-EDX Analysis Summary: Identifying Material

    Summary:: SEM-EDX Analysis Hi! Just would like to ask for some insights. I needed to identify the material based on its SEM-EDX results. However, after several researches, I still have no idea what it is. Any idea would help. thanks. Edit: Another information given to me was that this is a...
  11. L

    Analysis 1 Homework Help with Complex Numbers

    I need help actually creating the proof. I've done the scratch needed for the problem, it's just forming the proof that I need help in. Bar(a+bi/c+di)= (a-bi) / (c-di) Bar ((a+bi/c+di)*(c-di/c-di)) = ((a-bi/c-di)*(c+di/c+di)) Bar((ac+bd/c^2 +d^2)+(i(bc-ad)/c^2+d^2)) =...
  12. W

    Principal component analysis and data compression in Machine Learning

    I wonder how to accurately perform data compression on the m x n matrix X using PCA. Each row is a data point, and each column is a feature. So m data points with n features. If I like to go k < n dimensions, how is the correct way of doing so? How to I accurately create the matrix W_k, which...
  13. Mr.Husky

    Analysis Opinions on textbooks on Analysis

    What are your opinions on Barry Simon's "A Comprehensive Course in Analysis" 5 volume set. I bought them with huge discount (paperback version). But I am not sure should I go through these books? I have 4 years and can spend 12 hours a week on them. Note- I am now studying real analysis from...
  14. Moara

    Conditional probability and criminal DNA analysis

    We know that ##P(A-) = (95\% \cdot 0.5\% + 5\% \cdot 98.5\% )## and ##P(guilty \ and \ A-) = (95\% \cdot 0.5\%)##, so letter a) is just ##P(guilty \ and \ A-)/P(A-)##. What I tried to do in letter b) was again using the conditional probability theorem. First calculating the probability that...
  15. Moara

    Observation of events and analysis of the associated Hypotheses

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  16. D

    Engineering Question - Calculating Coefficients for 2nd Order Transient Analysis

    Hello everyone, I am struggling with calculating the coefficients for second order transient analysis. For example, when analyzing a underdamped circuit, we know that the equation for voltage or current is xt=e-αt(K1cos(sqrt(ω2-α2)t ) + K2sin(sqrt(ω2-α2)t)). Then in order to determine for...
  17. M

    What Function Satisfies the Derivative Equation in Complex Analysis?

    Mentor note: Edited to fix LaTeX problems ##f:C \rightarrow C## that solves ##\frac{df}{dx} = 6x + 6iy## ## f(x,y) = 3x^2 + 6xyi + C(y) = (3x^2 + C(y)) + i(6xy) ## ## \Delta u = 0 \rightarrow 6 + C''(y) = 0 \rightarrow C(y) =5 \frac{5}{5}##
  18. MattGeo

    I Exploring the Physics of a Straw & Water: A Detailed Analysis

    For quite a long time I had just gone by the traditional explanation that when you place a straw vertically into water without fully submerging it and then you withdraw the straw from the water, the water column stays inside because the pressure from the atmosphere acting on the bottom of the...
  19. S

    Steady State Thermal Analysis - Simulation

    I am simulating a hot forging process in LS-Dyna. A tool is contacting a hot workpiece for 2 sec every 10 sec (--0 sec--contact--2 sec--no contact---10 sec--) in a factory. Since this is a continuous process, the tool should, at some point, attain steady temperature. I have tried to recreate it...
  20. Santiago24

    Analysis Multivariable analysis textbooks

    Hi! the next semester i'll take a course on multivariable calculus but i'd like to study it now. I've "Principles of mathematical analysis" by W.Rudin but i heard that the sections about this are hard to read. If there is a textbook like "Understading analysis" by Stephen Abbott but in...
  21. M

    Max Speed of a Car: A Math Equation Analysis

    Summary:: Question: a car of mass 800kg, 3600N driving force experiences resistive forces of 120v Accelerates from rest. Form equation and show max speed is 30 ms^-1, assuming driving force does not change. my attempt at a solution -I can not see how to rectify it as I don’t think I did...
  22. F

    Existing work on finite element result analysis

    Is there any existing work focusing on analyzing finite element visualized results and how they differ from analytical solutions, rather than on the method?
  23. Leo Liu

    I A scientific analysis of stopping the spin of Discovery One spaceship

    I have been reading 2010: The Year We Make Contact, a sci-fi book belonging to a classic series by Arthur Clarke. The book involves a myraid of scientific concepts so I think it is worth it to verify if the scenes would be feasible in the real word. In this thread I'd like to focus on the scene...
  24. J

    Foundations Klein's Encyclopedia: Is an English Translation Possible?

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  25. PRITAM the cat of Ne

    Engineering Op-Amp circuit output analysis trouble

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  26. Xiao Xiao

    Engineering Electric Circuit Analysis of this First Order R-L Circuit

  27. uranium92

    A Graph analysis problem to find when the acceleration is zero

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  28. F

    I Scaling and Standardization in Statistical Analysis

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  29. Xiao Xiao

    Engineering Finding Vc for two circuits, Electric Circuit Analysis question

  30. sam0916

    Engineering How to Solve for Force in Hydraulic IJ Using Statics Analysis?

    Do you guys have techniques in solving for the Force in hydraulic IJ? I've been stucked for a while now and I can't seem to find the answer.The question says the answer should be = 11, 051.9516 N (T).
  31. brainbaby

    LT spice result analysis, Capacitance Multiplier vs RC filter circuit

    Hi friends, I have simulated two circuits, one is an RC filter and other is a Capacitance multiplier. My aim of experiment is to validate a decrease in Iout (load current) of CM circuit as compared to load current in RC filter circuit. Theoretically, Iout (CM circuit) < Iout (RC filter) Vp-p...
  32. Falgun

    Analysis Real Analysis (Baby Rudin vs Apostol)

    I am currently trying to self study Real analysis . I have completed Hubbard's Multivariable book & Strang's Linear algebra book. I have Apostol's Mathematical Analysis & Baby Rudin . I started with rudin yesterday and was making excellent headway until I encountered a theorem about 15 pages in...
  33. H

    I One-Time Pad and Frequency Analysis

    My lecturer said that the cryptosystem one-time pad, has a weakness which is when it is subject to frequency analysis. But after him trying to explain why that is a weakness of this system I am still unable to see why. Because the frequency of letters is completely irrelevant to the structure of...
  34. R

    Circuit Analysis Theorem For the Number of Independent Equations

    I attached a screenshot of the book (sorry no pdf available for this book). Right above the somewhat central line they give the theorem that if there are m currents and n nodes, then there will be n - 1 independent equations from the current law and m - n - 1 from the voltage law. I count 4...
  35. R

    Confused about a Result (Circuit Analysis)

    The problems I am referring to are problems 4-10 and 4-11. There is no solution provided for 4-10, so I want to check my answer here. However, I don't understand the answer to problem 4-11. Shouldn't it also be 24 V since it is in parallel with the 200 k##\Omega## resistor? I am actually...
  36. V

    Experimental Analysis: Forced Harmonic Motion and Resonance

  37. Xiao Xiao

    Electric Circuit Analysis, Nodal Analysis and finding Voltage.

    Summary:: The image shows two circuits, in the first one, using Nodal Analysis we find that V1=4.8V, but in the second circuit V1=10 because using KCL - 10+V1=0. I understand what happened in the first circuit, but I don't understand what happened in the second one, they look the same to me...
  38. Xiao Xiao

    Engineering Help in Electric Circuit Analysis -- One current source and a resistor network

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  39. Xiao Xiao

    Help finding Thevenim Equivalent - Circuit Analysis

    Summary:: So I found Vth=1.19 using Nodal analysis and I'm not sure if that's right, I'm trying to find Rth now but I'm confused as to what to do, any tip that tells me at least from where to start is appreciated. Edit: so I did 12||60 so Rth=10 ohm, is that correct? Is Vth correct too?
  40. V

    I Statistical analysis of COVID reinfection

    Hi, I'm a physicist so I have a basic knowledge of probability and hypothesis testing etc. I would like to more sophistically calculate from available data in my country whether ones Covid infected people have a statistically significant different probability of reinfection than people who are...
  41. M

    Engineering Gas turbine (mean line) analysis question

    Hi, I was attempting another turbomachinery question and am struggling with a few concepts. The question is: "A single stage gas turbine for power generation is designed for the following overall duty: - Power output is 4.2 MW, and mass flow rate is 70 kg/s - Inlet stagnation pressure = 3 bar...
  42. M

    Determining g by free fall with light gates -- assumption analysis

    the only way i can think of changing the method is by using 2 light gates instead of 1, calculating the velocity through each and using this to get an average velocity, but not sure how this would help
  43. wcjy

    RLC Circuit Analysis -- Two sources and two switches

    Hello, this is my working. My professor did not give any answer key, and thus can I check if I approach the question correctly, and also check if my answer is correct at the same time. When t < 0, capacitor acts as open circuit, $$V(0-) = V(0+) = 9V$$ When t = infinity, $$V( ∞) = 5V$$ (because...
  44. V

    Analysis of a Frictional Contact Problem with Adhesion

    Hi, I'd to work with a model which represents a contact problem. I want to suppose that f_0=0 and f_2=0 where f_0 is a density of body forces and f_2 is a density of surface tractions . I am mathematician so I don't know if the hypothesis that I'd to suppose will make the problem have a sense in...
  45. AndrewEE

    Engineering [Circuit Analysis] Am I on the right track with this problem?

    *A is the node all the way to the left above the 30V but I didn’t end up using it because I don’t think you need it since the same as 30V, right? * I know I messed up somewhere because shouldn’t V1-4 = 30? After finding my V1 I used that value to find the other Vs and it ended up being close to...
  46. G

    I Skipping elementary calculus and starting at analysis?

    I was walking around with my head in the clouds and suddenly I wondered if a smart person, say, a philosopher, could start at the full monster of real analysis instead of elementary calculus. Would there be any hope for this unfortunate soul? What are your opinions and why? Or if you feel this...
  47. fluidistic

    Puzzled about the non-teaching of Monte Carlo method(s) for error analysis

    Say you have measured several quantities and you can calculate the value of a physical quantity as a sum/product of the several measured quantities, and you are interested to calculate the uncertainty of that physical quantity. I have just learned about the Monte Carlo method applied to error...
  48. guyvsdcsniper

    Geosynchronous Satellites: Distance & Formula Analysis

    My work is attached. I did get the answer right using the formula V=√(G*me/r). Im just confused as to why I can't use V=2pi*r/T to also get the right answer? With this equation I would assume T=86400s. I was able to use both equations to get the correct answer for a problem relating to...
  49. P

    Temperature difference by Dimensional analysis.

    Attempt at solution: I wanted to try and solve this with dimensional analysis. I reasoned that I would chose the following dependent variables: - [V] : Volume ( of the block) - [Q] : Heat ( the radioactive decay would cause some heating of the water) - [R]: Radiation - [Cv]: Heat capacity...
  50. Santiago24

    "Introduction to Calculus and Analysis" by Courant & Fritz

    Hi, I'm reading the volume 1 of "Introduction to calculus and analysis" by Courant and Fritz but the problems are hard for me, i understand what he say but i can't solve many problems of the chapter one. It's normal or should i try with other book?
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