Simplifying Definition and 498 Threads

Simplified Chinese characters (简化字; jiǎnhuàzì) are standardized Chinese characters used in Mainland China, Malaysia, and Singapore, as prescribed by the Table of General Standard Chinese Characters. Along with traditional Chinese characters, they are one of the two standard character sets of the contemporary Chinese written language. The government of the People's Republic of China in mainland China has promoted them for use in printing since the 1950s and 1960s to encourage literacy. They are officially used in the People's Republic of China and Singapore, while traditional Chinese characters are used in Hong Kong, Macau, the Republic of China (Taiwan) as well as South Korea to a certain extent, and occasionally in the Chinese community of Malaysia and Singapore.
Simplified Chinese characters may be referred to by their official name above or colloquially 简体字; jiǎntǐzì. In its broadest sense, the latter term refers to all characters that have undergone simplifications of character "structure" or "body", some of which have existed for millennia alongside regular, more complicated forms. On the other hand, the official name refers to the modern systematically simplified character set, which (as stated by then-Chairman Mao Zedong in 1952) includes not only structural simplification but also substantial reduction in the total number of standardized Chinese characters.Simplified character forms were created by reducing the number of strokes and simplifying the forms of a sizable proportion of Chinese characters. Some simplifications were based on popular cursive forms embodying graphic or phonetic simplifications of the traditional forms. Some characters were simplified by applying regular rules, for example, by replacing all occurrences of a certain component with a simplified version of the component. Variant characters with the same pronunciation and identical meaning were reduced to a single standardized character, usually the simplest amongst all variants in form. Finally, many characters were left untouched by simplification and are thus identical between the traditional and simplified Chinese orthographies.
A second round of simplifications was promulgated in 1977, but was later retracted in 1986 for a variety of reasons, largely due to the confusion caused and the unpopularity of the second round simplifications.In August 2009, the PRC began collecting public comments for a modified list of simplified characters. The new Table of General Standard Chinese Characters consisting of 8,105 (simplified and unchanged) characters was officially implemented for use by the State Council of the People's Republic of China on June 5, 2013.

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  1. Drakkith

    Simplifying a Function Prior to Finding a Derivative

    Okay guys, this is driving me absolutely nuts. I'm working on finding derivatives using the product and quotient rules and the book will sometimes simplify the problem before finding the derivative but sometimes wont and I don't understand why. For example: The function y = (v3-2v√v)/v The book...
  2. E

    Help simplifying this using Stirlings' Formula?

    Hey guys! So I'm self studying Daniel Schroeder's Intro to Thermal Physics and we're to use Stirlings Approximation to simplify the following (assume that BOTH q and N are large, but we don't have a relationship between q and N): \Omega \left( N,q\right) \approx \dfrac {\left( \dfrac {q+N}...
  3. J

    Possible Interactions in Meson-Proton Collision: Investigating Neutron Formation

    Hello all, I'm trying to answer a question about a meson and a proton interacting to form a neutron and an unknown meson- to be determined. The equation is : (Anti up and strange) + (uud) --> udd + (xy) I arrived at strange and anti down OR anti strange and down. Are both possibilities...
  4. P

    How Do Block Diagram Simplifications Reflect Underlying Equations?

    Homework Statement I am trying to understand the simplification between these two block diagrams Homework EquationsThe Attempt at a Solution I understand the 2s+1/s has been moved past the summing junction, resulting in the 2s. But I don't understand where the s/2s+1 block comes from
  5. Extreme112

    Help with simplifying boolean expression

    < Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown > (A+B)&(C+D) + (A+B)&(C+D)' + C (A+B)&(C+D) + (A+B)&(C'&D') + C by deMorgans (A+B)&[(C+D)+(C'&D')] + C by Distributive I'm just wondering if I did anything wrong in this simplification or if it...
  6. datafiend

    MHB Simplifying compound fractions

    Hi all, I'm having a problem simplifying this: [1/(1+x+h) - 1/(1+x)] / h How do you get the common denominators for the top 2 fractions? Thanks
  7. C

    MHB Simplify Triplet: Redefining An in Terms of B & C

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  8. A

    MHB Simplifying a trigonometric expression

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  9. ELB27

    Legality and Generality of a Simplifying Method

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  10. C

    Simplifying Trig Equations: A Comparison

    I simplified a trig equation to \theta=\Big\{sin^{-1}(\frac{1}{2})+2\pi k\Big\}\; and \; \Big\{\pi-sin^{-1}(\frac{1}{2})+2\pi k\Big\} Whereas the book simplified it to \theta=\pm\frac{\pi}{6}+\pi k Obviously these answers encompass the same set of values, with the book's answer being much...
  11. B

    Simplifying generalised Wave Equation

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  12. G

    Engineering Simplifying a resistance circuit

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  13. C

    Simplifying Cubic: Find Local Extrema

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  14. C

    Simplifying Circuit: Get Help Now!

    Homework Statement [/B] I don't know how to simplify this circuit. Homework Equations [/B] V=IRThe Attempt at a Solution [/B] I thought of this, but I don't know if it's correct, could you help me please?
  15. D

    Simplifying correlation coefficient

    Homework Statement The linear prediction of one random variable based on the outcome of another becomes more difficult if noise is present. We model noise as the addition of an uncorrelated random variable. Specifically, assume that we wish to predict ##X## based on observing ##X + N##, where...
  16. E

    MHB How to Simplify this Complex Logarithm Expression?

    1) $( \log_{a}\left({b}\right)+\log_{b}\left({a}\right)+2) (\log_{a}\left({b}\right)-\log_{ab}\left({b)}\right)* \log_{b}\left({a}\right)-1=$?
  17. E

    MHB What is the relationship between logarithms and simplifying expressions?

    (\sqrt{{\log_{n}\left({p}\right)} +\log_{p}\left({n}\right) +2} *(\log_{n}\left({p}\right)-\log_{np}\left({p}\right)) \sqrt{\log_{n}\left({p}\right)}
  18. E

    MHB How can I simplify this logarithm?

    \log_{2}\left({24}\right) / \log_{96}\left({2}\right) - \log_{2}\left({192}\right) /\log_{12}\left({2}\right)
  19. Z

    MHB How can we simplify this expression involving square roots?

    4\sqrt{n^{2}}+\sqrt{m^{2}n-\sqrt{4n^{2}}}-\sqrt{mn^{2}} I don't even know where to start, I know the teacher said to distribute but distibute what?
  20. E

    MHB How to Simplify a Fraction with Cubed Roots in the Numerator and Denominator?

    Help to obtain a simple form of the following expression: \frac{\sqrt[3]{a^2} -\sqrt[3]{ab}+\sqrt[3]{b}}{a+b}
  21. O

    MHB Simplifying a square root in a fraction, part of midpoint formula

    I have: sq rt 2 +sq rt 2 over 2 , sq rt 5 + sq rt 5 over 2 I got (sq rt 4 over 2, and 0) = 1, 0 but the answer is actually (sq rt 2, 0) so is my answer still wrong?
  22. MaximumPhysics

    MHB Did I Simplify These Precalculus Problems Correctly?

    Just joined this website for math help like right now :) Background info: I was sick for 2 years before going to university so my level in math is horrible; though I will try my best in all questions which I would ask.1. Simplify 2x^-3 + 9x^-7 Here's what I did 2/x^3 + 9/x^7 find common...
  23. H

    MHB Simplifying by combining terms

    Ok.. What about this one? \frac{1}{y+1}+\frac{2}{x+2}+\frac{\frac{x+2}{y+1}-2}{x+2} this is where I am at: \left(\frac{x+2}{y+1}-2\right)
  24. H

    MHB Simplifying a rational expression

    Hello, I am having difficulty solving my math problems. Simplify the expression: (12+r-r^2)/(r^3 +3r^2) The answer is (4-r)/r^2 I know that i can expand 12+r-r^2 as (-r+4)(r+3) But i cannot figure out the rest. Please help me. Thanks
  25. A

    MHB Simplifying rational expressions

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  26. STEMucator

    Quick question about simplifying a circuit

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  27. S

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    In my studies of methods to simplify the Einstein field equations, I first decided to go about expanding the Ricci tensor in terms of the metric tensor. I have been mostly successful in doing this, but there are a couple of complications that I would like your opinions on. At the bottom of...
  28. S

    MHB Simplifying Algebraic fraction

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  29. B

    Simplifying expression with gamma matrix and slashes

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  30. A

    MHB Calculus I Simplifying and Substitution

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  31. V

    College Algebra Simplifying Exponents

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  32. C

    Stuck on Simplifying a Limit - Can You Help?

    The problem: (See attachment) I rationalize the numerator and then simplify to get: lim (3(1+sqrtx) - 2(1+cubert(x)))/(1-x) x->1 However, I do not know what to do after this point. If someone could please help me out, that would be great! Thank you! P.S: Look carefully at the...
  33. M

    How Can You Simplify the Arc Length Calculation for the Curve r(t)?

    Homework Statement The length of the curve r(t) = cos^3(t)j+sin^3(t)k, 0 =< t <= pi/2 is Homework Equations AL in polar = ∫sqrt(r^2 + [dr/dθ]^2) The Attempt at a Solution I am having trouble simplifying the terms within the square root. What method should I use to deal with...
  34. M

    Simplifying Square Roots of a Parametrized Path

    Homework Statement Find the arclength of the parametrized path x(t) = (t^2)/2 , y(t) = (t^3)/3 for 1<t<3. Homework Equations Arc Length Formula The Attempt at a Solution x'=t and y'=t^2. Putting them into the arc length formula, I get sqrt(t^2 + t^4) inside. I'm confused...
  35. Rectifier

    Simplifying Logarithms: Troubleshooting Common Mistakes

    Hey there! I am getting two completely different equations when I try to simplify one. What am I doing wrong? 1. y=ln(2x) \ \Leftrightarrow \ y=ln(2) + ln(x) \ \Leftrightarrow \ e^y=e^{ln(2)}+e^{ln(x)} \ \Leftrightarrow \ e^y=2+x 2. y=ln(2x) \ \Leftrightarrow \ e^y=e^{ln(2x)} \...
  36. M

    Simplifying a differential equation

    When I multiply out the first line I end up with an extra (dA/dx)*(dσ/dx). Can someone please show me how i get from the first line to the second. Thanks
  37. A

    MHB Simplifying with square roots?

    So, this is probably really simple...but I keep getting the wrong answer when trying to simplify this: 3\sqrt{\frac{(10x^3)^2}{(10x^6)^{-1}}}Could someone show the steps to simplifying it? Thanks so much. (:
  38. MarkFL

    MHB Simplifying tan(2arccotx) - Peter's Question at Yahoo Answers

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

    Simplifying a series with the ratio test

    Homework Statement Determine if the following series is divergent or convergent: ## ∑_1^∞ \frac {(2)(4)(6)...(2n)}{n!} ## 2. The attempt at a solution I understand this can be simplified to: ## ∑_1^∞ \frac {(2^n)(n!)}{n!} ## This can easily be seen to be divergent. But when I...
  40. D

    Simplifying entropy for a harmonic oscillator in the limit of large N

    Homework Statement Hey guys, So I have this equation for the entropy of a classical harmonic oscillator: \frac{S}{k}=N[\frac{Tf'(T)}{f(T)}-\log z]-\log (1-zf(T)) where z=e^{\frac{\mu}{kT}} is the fugacity, and f(T)=\frac{kT}{\hbar \omega}. I have to show that, "in the limit of...
  41. vanceEE

    Simplifying Factorials: How to Simplify the Expression (2n-1)! / (2n+1)!

    Homework Statement $$ \frac{(2n-1)!}{(2n+1)!} $$ How do you simplify this factorial?
  42. T

    How Do 17 Plane Groups Simplify Two-Dimensional Condensed Matter Theory?

    I am working on a condensed matter research project and we have just been introduced to the idea of symmetry. My question is, in two dimensions, how do the 17 plane groups help simplify condensed matter theory problems. If a specific case is needed to narrow the responses than working within...
  43. M

    Simplifying an Expression with x>>a: Step-by-Step Guide

    Hi, I've attached a screenshot in which a solution simplifies an expression given x>>a. I have been trying to simplify and express the equation as shown, but keep failing to recognize how they reached their solution. If anyone could provide a step-by-step breakdown that would be greatly...
  44. G

    MHB Problem I am stuck on, simplifying radicals in denominator again

    :mad: I really hate these problems. (2+√7)/(3-√-11). What the heck? I start out by multiplying both sides with the conjugate again. This is where I am stuck lol. Can someone tell me what I am doing wrong while multiplying the conjugate? (3 - √-11) is the same as 3 - √11i correct? So I...
  45. S

    Simplifying an Infinite Composite Recursion in a System of Equations

    Hello, I'm working with a system of equations that has an infinite recursion function, and am wondering if its possible to simplify or remove the recursion in terms of the other functions in the system. Any insight into the framework or family of this system is appreciated. Given two...
  46. J

    SImplifying logarithmic functions

    [b]1. Homework Statement [/ Simplify: log base 2 x^2*y^3 Homework Equations I know that log base 2 x^2 * y^3 is log base 2 x^2 + log base 2 y^3 The Attempt at a Solution Here is what I thought: 2 log base 2 x + 3 log base 2 y But that does not seem to be simplified, it...
  47. D

    Mathematica Mathematica: Simplifying a feedback system

    Hi, I have given a complex feedback system in z domain like: Y = 2*W2 + E W2 = z^-1/(1-z^-1) * (W1 + (1-z^-1)*W2 - 1/2*(1-z^-1)*Y) W1 = V - Y + z^-1/(1-z^-1) * 1/2 * (V - Y) where Y is the system output, V is the system input, W1 and W2 are intermediate nodes and E is an error input...
  48. N

    Simplifying equations involving Dirac Delta (Analog Signal Processing)

    Homework Statement I'm specifically having trouble with taking the Fourier transform of f(t) in order to sketch F(w) and also to move on with the rest of the problem. Homework Equations f(t) = (5+rect(t/4))cos(60pi*t) mixed_signal = cos(60pi*t) The Attempt at a Solution I attempted to...
  49. B

    Quotient rule + simplifying the result

    Homework Statement Hello, I have an answer to my question but I'm not sure if I've simplified it correctly or if it can boil down further. differentiate; y = \frac{z^{3}-z}{\sqrt{z}} Homework Equations Quotient rule The Attempt at a Solution let u = z3 - z let v = z1/2...
  50. D

    MHB Simplifying a Legendre polynomial

    Given the following expression \[ \mathcal{P}_{n}(0) = \left.\frac{1}{2^{n}n!}\frac{d^{n}}{dx^{n}} \sum_{k = 0}^{n}\binom{n}{k}(x^2)^k(-1)^{n - k}\right|_{x = 0}, \qquad (*)...
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