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. J

    Circuit analysis -- Voltage question

    hello, i have a question regarding the way we represent information on circuit diagrams. The first is to do with representing output voltages: is V out always simply representing the voltage of whatever lies between/trapped between those two horizontal lines? Also, i see a lot of diagrams...
  2. G

    Graphs analysis Microelectronics

    Homework Statement Hello, I have to estimate the junction depth and layer thickness from the graph I am given. I know that when Phosphorus and boron are crossing, at this point is the Junction depth. What about the oxide layer grown, how would you estimate its thickness? For the second graph...
  3. D

    Stability of a System: Bode Diagram Analysis

    Hi, Is this Bode diagram tells that the system is stable? As I see it is, because of the φ>0. What doest it mean that the upper diagram has two zero-crossing?
  4. W

    Momentum Analysis in Rest Frame Decay of Particle with Mass M

    Homework Statement A particle with mass M at rest decays into two particles with masses ma=0.15M and mb=0.65M . i) Discuss the relative directions and magnitudes of the momenta of these two particles in the centre of mass reference frame. Homework EquationsThe Attempt at a Solution What's the...
  5. Ryaners

    Another Error Analysis Question - how to go about it?

    Hi folks, apologies if this is in the wrong forum. I'm a new undergrad physics student and I'm having trouble figuring out how to 'do' error analysis. (I had a quick look through some similar posts here & am still none the wiser.) I'll use my recent lab experiment on Resonance in a Tube as an...
  6. terryds

    Nodal Analysis Problem: Where Did I Go Wrong in Using the Superposition Method?

    Homework Statement The Attempt at a Solution [/B] At node B, ##i_s + 3 = i_2## ## 3 + 3 = i_2## ##i_2 = 6A## ##V_2 = i_2/R_2 = 3V## But, it seems that the answer is wrong. Using superposition method, the voltage is 4V Please tell me where I got wrong
  7. T

    Electrodynamics Fourier Analysis (Fouriers Trick)

    Homework Statement Two infinitely grounded metal plates at y=0 and y=a are connected at x=b and x=-b by metal strips maintained at a constant potential V. Find the potential inside the rectangular pipe.Homework Equations Laplaces EquationThe Attempt at a Solution I posted a photo of what I've...
  8. DevonZA

    Engineering Circuit analysis - current dissipated and pot. difference

    Homework Statement Homework EquationsThe Attempt at a Solution 1. 2. i) Use mesh analysis to solve for circulating currents I1 and I2. ii) What is the current dissipated by resistor R1? iii) What is the potential difference across resistor R3? 3 i) . Loop ABEFA...
  9. Andreol263

    Analysis A good real analysis introductory book

    Hi guys, my first question is:what i really need to understand real analysis? and the second is on the title:could some of you recommend a good book on real analysis? cause I've found some texts that are very difficult to understand some concepts...
  10. C

    Error Propagation - Reconciling Two Approaches

    Hi, I am trying to find the error propagated by calculating the sum of a set of mass flow rates collected over the same length of time. The sum of mass flow rates can be calculated with two approaches, since the collection time is the same for all of them. Approach (1) is adding up all of the...
  11. A

    MHB Expected Number of Draws to Get 1: A Probability Analysis

    Here's the problem: Let P(k) be a random draw of integers between 1 and k (inclusive). Assume you repeatedly apply P, starting at 10^1000. What's the expected number of repeated applications until you get 1? Why? What is your understanding of the following statement? Assume you repeatedly...
  12. chikou24i

    Optical microscopy image analysis

    How one can analyse an image of a solid material obtained with an optical microscope ?
  13. D

    Axial Fan Modal Analysis ANSYS

    Hi, We have an axial fan in the lab that apparently vibrates badly ("wobbles") at certain frequencies. To find the resonance and the bad frequencies, I decided to do an ANSYS modal analysis. I am still pretty new to it, and have a few questions. 1) Regardless of how many modes I pick...
  14. P

    Help with this network analysis question

    given: source voltage =120V voltage across 15 ohm resistor = Va there is a dependent source 2Va and a 30 ohm resistor. I tried applying KVL i.e 120-30I+2Va-Va=0 where Va=15I and got I=2.66A whereas my teacher told me that the answer is 8A. how is it so? Is it some basic knowledge that I have...
  15. Z

    Real Analysis - Infimum and Supremum Proof

    Hi Guys, I am self teaching myself analysis after a long period off. I have done the following proof but was hoping more experienced / adept mathematicians could look over it and see if it made sense. Homework Statement Question: Suppose D is a non empty set and that f: D → ℝ and g: D →ℝ. If...
  16. gfd43tg

    Economic analysis: replace machine now or later

    Homework Statement I know it's not directly related to engineering, but its from an engineering economics course! Homework EquationsThe Attempt at a Solution Hello, I'm trying to solve this problem, and my first thought it to find the present value of each machine $$ PV =...
  17. J

    Solving a Series RLC Transient Analysis Problem

    Let's say we have a free-source series RLC circuit. The differential equation that describes the behavior of the transient is given by Ri+L\frac{di}{dt}+V=0, where V is the potential difference across the capacitor. But I have trouble understanding the way this equation is developed. For...
  18. jdawg

    Nodal analysis trying to find Voc

    Homework Statement Find Voc Homework EquationsThe Attempt at a Solution This is what I have: (VA-9)/5 +VA/5 + 1.8 = 0 VA=0 -1.8 + VB/(60+10) +(VB-9)/20 VB=35 What I'm confused about is why you combine the 60 ohm and 10 ohm resistors for the VB nodal equation, but not the 25 ohm and 10 ohm...
  19. T

    Deciding between group theory vs. complex analysis

    Hi, I have one spot remaining to take a pure math course, and I'm trying to decide between complex analysis and group theory. Although I've touched some of the basic of dealing with complex numbers in my physics/DE courses, they haven't gone in much depth into them beyond applications. On the...
  20. B

    Storage vessel stress analysis using ansys

    I have to model a storage vessel in ansys and perform stress analysis for it. I have no idea about which element types I will need for the analysis. I have calculated the design dimensions for the vessel. I am a beginner at ansys and know only how to deal with simple structural and thermal...
  21. B

    Analysis How is "Advanced Calculus" by Loomis/Sternberg?

    Dear Physics Forum friends, my old friend recently gave me a book called "Advanced Calculus" by Loomis/Sternberg, published by the World Scientific. I had taken a look at that book, and it seems to be that the book treats the vector calculus, linear algebra, and some topics on the mathematical...
  22. Gbox

    Solve Circuit Analysis: Thevenin Theorem

    Homework Statement Homework Equations Thevenin theorem The Attempt at a Solution ##R_{60+180}=240## ##R_{80||240}=\frac{240*80}{240+80}=60## ##R_{total}=60+20=80## ##=\frac{480}{80000}=0.006A## How should I proceed?
  23. thegirl

    Method used to find harmonic functions in complex analysis

    Hi, I was just wondering how would you go about finding a harmonic function in complex analysis when given certain conditions such as I am z > 0 and is 1 when x > 0 and 0 when x < 0. Do you draw a diagram? Do you solve the laplace equation? How would you go about doing this? What if there...
  24. Gbox

    Grounded electric circuit analysis

    Homework Statement Find the voltage in A,B,C,D when the circuit is grounded at point A Homework Equations ##V=IR## ##\sum_{i=1}^{n}I_n=0## ##\sum_{i=1}^{n}v_n=0## The Attempt at a Solution I have managed to divide the current according to KCL, but I am not sure how should I approach...
  25. infinite.curve

    Resources For Real Analysis and Concepts of Mathmatics

    I have been browsing the web, and I notice that I could not find any websites that have real analysis text around. Yes, I understand that I should look for books written by professionals in the field, but I do not know which one I should buy. Do you know of some online resources to real analysis...
  26. R

    Nodal Analysis: Solving Homework Problem

    Homework Statement *Posted in the Screenshot* Homework Equations *Posted in the uploaded attachment* The Attempt at a Solution *Posted in the uploaded attachment*Hi all. Our lecturer gave us the question as part of an assignment but I'm not to sure if my approach and answer is correct. I...
  27. cnh1995

    Creating a GUI for AC Circuit Analysis with Intel Galileo and Arduino

    I have completed a small project of ac circuit analysis on intel galileo in arduino. I want to make a GUI now. How should I proceed? I know C and a little C++.
  28. J

    Nodal Analysis Clarification - What are some conventions?

    I've been assigned the following problem for homework in my Electrical Engineering class: *Note, the duplicate v2 is supposed to be v3. But I keep getting v1 = 4.10V v2 = 4.81V v3 = -1.19V and i0 = 52.9mA Every simulator I've put this into says it's wrong, yet I've attempted solving it...
  29. S

    Mean stress with miner's rule in fatigue analysis

    Hi I was wondering how you would account for mean stress (such as using with goodman equation) using von mises with miners rule due to variable loading Thank you
  30. V

    Delta Dirac 3d Dimensional Analysis

    1. I ´m trying to do the dimensional analysis of the Delta Dirac in 3 Dimensions. [PLAIN]http://[url=http://postimg.org/image/oif09fcd5/] 3. This is my atempt [PLAIN]http://[url=http://postimg.org/image/4qavbtv4p/]
  31. ElijahRockers

    Joining together data from two different MRI protocols

    I should start by saying that, as a novice data analyst, I have very little experience with MRI physics, but I believe I understand the absolute fundamentals. Also, this post mostly concerns data analysis issues so might be better suited for some other signal processing forum, but I'm hoping...
  32. whatisgoingon

    How can I use circuit analysis to prove RI = RSRP/(RS - RP)?

    Homework Statement I have to prove that RI = RSRP/(RS - RP) by circuit analysis. The Attempt at a Solution [/B] So I tried to create a system of equations to do this: For the first circuit using kirchhoffs rules: V-IA(RS + RI) = 0 [1] For the second circuit: V-IBRS - IPRP = 0...
  33. J

    Solve Nodal Analysis Differential Equation for I1 with Reference Point under C

    Homework Statement Using nodal analisis we need obtain the differential equation 2. The attempt at a solution For I1 and take the point under C as reference, but i am stuck on it
  34. dsatkas

    Algebra Math textbooks for physics grad student and other questions

    I hope this post won't become too tedious. I've completed my undergrad studies in physics and if things go well i will begin my master's degree in April. The thing is, since my path to graduation has been peculiar (to say the least) I'm kinda weak in maths skills atm and need to improve. I'm...
  35. J

    Optical Model Analysis: Easy Prog. for Alpha-Particle & Heavy Ion Scat.

    I am working on a thesis, but new to programming. What is the best and easy to use program that I can use for the work: Measurement and analysis of elastic scattering of alpha–particle and light heavy ion scattering using nucleon-nucleon interaction
  36. V

    Interested in Joining My Polymath Project on Real Analysis?

    I forgot to formally introduce myself on this forum. I am VKnopp. I am 14 year old maths enthusiast with Asperger's Syndrome. I self-educated myself all the way up to Calculus III with a little bit of number theory, linear algebra, complex analysis and real analysis supplements. I am in the top...
  37. G

    Analysis and how to solve things (methods)

    Hi ! at the moment, I have big troubles to solve exercices for my analysis homework. This is not a problem with an exercise in particular, it really is about how to solve things. I just started a bachelor's degree in physics and I have no mathematical maturity. I can easily use mathematics to...
  38. S

    What stress to use for fatigue analysis

    Hi, I was wondering which stress values from a finite element program to use for fatigue analysis, (von mises, principal, tresca). I was leaning towards principal stresses but then would my stress range be σ11 from load case 1 (LC1) to σ11 of LC2, or would i need to do σ11-σ33 first and then...
  39. W

    ChemE. Degree of Freedom analysis & recycled stream

    Homework Statement The problem want me to do a degree of freedom analysis on the following process using the information provided. There are two chemical rx in the process. The desired production rate of DEA (D) is 105,000 kg/h. The air composition is 21% mol% O2 and 79 mol% N2[/SUB. 25% of...
  40. KiggenPig

    Programs Is analysis beneficial for a physics major

    Hello all, I am a physics major in my 2nd year. My current math courses include vector calculus and differential equations. I have a bit of a desire to try my hand at analysis next semester. The first course I would take assumes no prior knowledge of proof writing and builds from the ground up...
  41. EdajMay

    Truss Analysis : Method of Joints only (Picture provided)

    Hello, In my statics course, we had to design a bridge, and now, I have to calculate the internal forces in every member of the truss. At first, I have found Ay and Oy with the moment of force, but then, I am stuck since the truss is not perfectly aligned. Sadly, I can't use the method of...
  42. jdawg

    Super Node Analysis: Find V1,V2,V3,I1,I2,I3

    Homework Statement Find V1,V2,V3,I1,I2,I3 Homework EquationsThe Attempt at a Solution Analysis at super node: V3-V1=40 (equation 1) (V1/40)+(V1-V2/40)+(V3-V2/20)=0 2V1 - 3V2 +2V3 = 0 After substituting in equation 1: 4V1-3V2 = -80 Analysis at V2 (V1-V1/40)+(V2/20)+(V2-V3/20)=0 After...
  43. A

    Graduate course as a UG: Complex Analysis or Topology?

    As an undergraduate, which graduate-level course will prepare me better for grad school, Complex Analysis or Topology? I probably can't fit both into my schedule, but I can definitely fit one. I have already taken undergraduate complex analysis and I'm taking now undergraduate topology. My...
  44. L

    How to prove the following defined metric space is separable

    Let ##\mathbb{X}## be the set of all sequences in ##\mathbb{R}## that converge to ##0##. For any sequences ##\{x_n\},\{y_n\}\in\mathbb{X}##, define the metric ##d(\{x_n\},\{y_n\})=\sup_{n}{|x_n−y_n|}##. Show the metric space ##(\mathbb{X},d)## is separable. I understand that I perhaps need to...
  45. Yousufshad

    Dimensional Analysis: Which Equations are Correct?

    Homework Statement In a desperate attempt to come up with an equation to use during an examination, a student tries the following equations. Use dimensional analysis to determine which of these equations could be correct. Here x, v, and a, are the position, velocity and acceleration. v2=ax...
  46. W

    Instrumental Analysis of Silicon Heterojunctions

    Homework Statement Describe the process of creating a bulk heterojunction and an ordered heterojunction Homework Equations n/a The Attempt at a Solution I understand that each heterojunction has a cathode, anode, acceptor, and donor along with a indium tin oxide coating but I am unsure...
  47. M

    Circuits analysis question....

    i have just started taking electric and electronic circuits course and i have a question about a basic concept in KVL, regarding the loop direction that you assume in any circuit : does the loop direction that you assume is just telling that you will subtract the voltage of the near points from...
  48. jdawg

    Node Voltage Analysis for Finding V1 in a Circuit

    Homework Statement Find V1. I attached a picture for the circuit. Homework EquationsThe Attempt at a Solution This is what I did (Refer to Fig. 1): -2A + (V1)/(50) +(V1-45)/(1) = 0 But when I looked at the solution my professor posted this is what he did (Redrew Fig.1 as Fig.2): -2A +...
  49. B

    Buckingham Pi / Dimensional analysis

    Homework Statement A capillary filled with water is placed in a container filled with a chemical of concentration C_{0} , measured in number of molecules per unit volume. The chemical diffuses into the capillary of water according to the following relation (where x is distance along...
  50. HaLAA

    Prove Sup S = c: Step-by-Step Guide

    Homework Statement S≡{x|x∈ℝ,x≥0,x2 < c} Prove Sup S = c Homework EquationsThe Attempt at a Solution Since x in the set real numbers, there are two cases for x: x < 1 or 0 <= x <=1 if 0 <= x <=1, then x < c + 1 since c is positive. if x < 1, then x^2 < c < x*c + x = x(c+1) thus x < c+1, by the...
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