What is Simplifying: Definition and 498 Discussions

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. M

    Expand and Simplifying Algebraic Expressions

    Homework Statement Expand and simplify algebraic expressions. Homework Equations (2a+1)(3a-1)(a-2) The Attempt at a Solution The problem is, we normally always do these problems with only two sets of brackets. I tried just multiplying each number will each other number but it...
  2. M

    Is the Mathematical Solution in the Book Incorrect or Am I Mistaken?

    I am trying to simply G1 = G1(1+F1) / (1 + G1F2(1+F1)) in terms of G1, G2, H2, and H3 where F1 = G2/(1-G2H2) and F2 = G3 / (1-G3H3) i got the result (G1(1-G2H2)(1-G3H3) + G1G2(1-G3H3)) / ((1-G2H2)(1-G3H3) + G1G3(1-G2H2) + G1G2G3) however, the book gives the result with a +1 in the...
  3. B

    Simplifying multiple trig functions into a single trig function for physics II

    Homework Statement It has been a while since I have really been involved in trig seriously, But I felt it appropriate to go in this particular forum because in my classes from years back "precal" was the title associated with trig (: The Problem: sin(X) / sin(X/2)...
  4. E

    Current Sources in Parallel when Simplifying Circuits

    When simplifying a circuit, can a parallel branch with a current source and a resistor in series be considered as just the current source? Also, if two parallel current sources 'point upwards' i.e. toward the positive rail, can I add them together as one source even if there are other...
  5. C

    Simplifying an ODE into explicit form

    Homework Statement So i think i found the general solutions to both these separable equations, but I am not sure if I am suppose to simplify any further to get it in explicit form, and how i can even do that. Homework Equations The Attempt at a Solution 1. \frac{dy}{dx} -...
  6. J

    Simplifying this trig solution

    Homework Statement Simplify this expression: csc(x)sqrt(sec^2(x)-1) with 0 less than or equal x less than pi/2. Homework Equations The Attempt at a Solution Not really sure what they want here, but would a good place to start be to square the entire expression to get rid of the...
  7. Femme_physics

    Basic Algebra Simplifying a complex fraction

    This problem comes from an engineering exercise (hence the C/R which you can ignore). I want to see if I got it right. http://img51.imageshack.us/img51/3989/mama1h.jpg http://img851.imageshack.us/img851/3401/mam2.jpg
  8. E

    Simplifying cosine and sine expressions

    Homework Statement So I am a little rusty on my basic math and I am trying to simplify this expression. In case you were curious the expression came from a signal block diagram that I calculated the transfer function H(z) to then found the frequency response H(f) and I think i have done that...
  9. V

    Simplifying the derivative after using the Product Rule. Help?

    Homework Statement f(x) = (x^3+6)^4 * (x^3+4)^6 Homework Equations f'(x) = (x^3+6)^4*18x^2(x^3+4)^5 + (x^3+4)^6*12x^2(x^3+6)^3 The Attempt at a Solution Obviously this expression can be simplified, but I haven't the slightest clue on how to do this. I would really appreciate...
  10. R

    Why Does \( P_L \not{p} P_L \) Equal Zero for a Left-Handed Particle?

    Homework Statement I'm trying to find P_L \displaystyle{\not}p P_L for a left-handed particle. (I think the answer is zero...) Homework Equations P_L = \frac{1}{2} (1-\gamma_5) (the left-handed projection operator) \displaystyle{\not} p = \gamma_\mu p^\mu (pμ is the 4-momentum) (γμ, γ5 are...
  11. D

    Simplifying the Limit: $\frac{\cos x - \sqrt{1 + \sin^2 x}}{x^2}$

    Homework Statement Find the value of \lim_{x \to 0}\frac{cosx - \sqrt{1 + sin^{2}x}}{x^{2}} Homework Equations N/A The Attempt at a Solution The answer is 1/2, but I don't know how they got that. I've tried using double angle formulas and multiplying by the conjugate but I get...
  12. X

    Simplifying to a Geometric Series

    Homework Statement I have a question with asks to solve a differential equation via power series and I've done everything up to finding the recurrence relation which is a_{n+2} = -\frac{a_{n}}{n+2} Given the initial conditions a_{o} = 1 and a_{1} = 0 I'm trying to simplify the series into a...
  13. V

    Glancing Collisions In 2D, help simplifying

    Homework Statement We are only given variables in this problem, that is: m1 travels at V, collides with 2m which is at rest results in m going off at 45° at V1 2m also goes off at 45° down at V2 Calculate V1 and V2 in terms of V Homework Equations Ʃρx-initial=Ʃρx-final...
  14. X

    Help with simplifying integral

    Homework Statement We need to solve the double integral: 6 -2/3x+4 ∫ ∫ [12-2x-(3y/4)] dy dx 0 0 Homework Equations (a+b)2 = a2 + 2ab + b2 The Attempt at a Solution I've got to: 6 (1/4) ∫ [12y-2xy-(3y2/2)] evaluated at -2/3x + 4 and 0. 0 6...
  15. O

    Transforming Positive Definite Quadratic Forms: A Simplification Approach

    I'm having a bit of a brain fart here. Given a positive definite quadratic form \sum \alpha_{i,j} x_i x_j is it possible to re-write this as \sum k_i x_i^2 + \left( \sum \beta_i x_i \right)^2 with all the ki positive? I feel like the answer should be obvious
  16. S

    Help Needed: Simplifying Finite Product - Can You Help?

    Hello Guys I could not simplify the finite product bellow to another expression I hope I get an answer from you guys Thank you
  17. Vorde

    Simplifying KE/Momentum Relativistic Problem

    Homework Statement A D0 meson (with a rest mass of 1.86 GeV/c2), initially at rest, decays into a K0 meson (with a rest mass of .51 GeV/c2) and a \pi0 meson (with a rest mass of .12 GeV/c2). What is the Kinetic Energy of the \pi0 meson? Homework Equations E=\gammam0c2 p=\gammam0v...
  18. I

    Simplifying wrong or completely wrong?

    Homework Statement Find dy/dx. y=sin^{2}(3x-2) Homework Equations The Attempt at a Solution Using the chain rule, y=sin^{2}u y'=2sinucosu u=3x-2 u'=3 \frac{dy}{dx}=6sin(3x-2)cos(3x-2) Answer is: 3sin(6x-4) What am I missing here ?
  19. H

    How to Simplify Factorials

    How can ((n+1)^2(*n!))/((n+1)!*n^2) be simplified to (n+1)/n^2? My own answer is (n+1)^2/n^2, but its apparently wrong
  20. J

    Need help Simplifying this Equation

    Hi, I've already worked out the question until part (a) but I don't understand how they go from (a) to (b) right at the bottom of the image. How did they change -s + i to s - i ? [PLAIN]http://img64.imageshack.us/img64/9366/unledrze.png Thank you very much for your help.
  21. R

    Simplifying Polynomial: (1/(2s+3))

    Homework Statement I'm trying to simplify this polynomial ((s+1)/(2+s))/((s+1)+((s+1)/(s+2))(s+1)) It's more readable if you view it here: http://www.wolframalpha.com/input/?i=%28%28s%2B1%29%2F%282%2Bs%29%29%2F%28%28s%2B1%29%2B%28%28s%2B1%29%2F%28s%2B2%29%29%28s%2B1%29%29 It simplifies...
  22. A

    Simplifying and identifying parallel circuits

    I have not been able to solve these 3 questions. (attached) I understand that parallel circuits can be identified by checking if there are branches at a particular point, but I am still unable to simplify these circuits and solve these questions. Any help would be greatly appreciated! Thanks! :)
  23. S

    Messing up simplifying formula for head on collision problem

    Ok I have been going crazy and I think I must be making a simple algebra mistake. Basically in my book I read over an example dealing with a head on collision between 2 balls and the collision is elastic so the kinetic energy intial= final KE. The momentum is also conserved so i can use momentum...
  24. T

    How to Correctly Simplify This Boolean Expression?

    Homework Statement Simplify the following xyz + x'(w+z') + yz(w+z') Homework Equations The Attempt at a Solution xyz + x'(w + z') + yz(w + z') xyz + x'w + x'z' + yz(w + z') xyz + x'w + x'z' + yzw + yzz' xyz + x'w + x'z' + yzw + 0 I got the answer xyz + x'w + x'z' + yzw...
  25. A

    Need help with simplifying boolean equation

    Hi guys I need some strategies in simplifying this boolean equation please. ~=not My problem is: ~A~C + ~ABC + ~BC My first idea was to factor out ~A from the first two terms so I get : ~A(~C + BC) + ~BC) Any help would be appreciated. Thanks!
  26. E

    Simplifying after applying chain rule

    Homework Statement http://images.calcchat.com/solutionart/etf5e/03/d/se03d01063.png Homework Equations The Attempt at a Solution I get to the third row, but can't simplify (Sin2θ)(Cos2θ). I'm looking at the trigonometric double angle formulas, and still can't figure out how the...
  27. E

    Simplifying after applying quotient rule

    Homework Statement http://images.calcchat.com/solutionart/etf5e/03/c/se03c01047.png Homework Equations The Attempt at a Solution What am i missing, because i get: 6/4 [(-1 + tanx*secx- (tanx)^2]
  28. M

    Simplifying surds as numerators

    Hi, I was reading about surds and saw this: [PLAIN]http://www.mattvonfat.com/eq.png I'm probably not as familiar with simplifying fractions as I should be but I think I get that it's being split into two fractions and that √3/2 is the same as 1/2*√3 but I don't understand what's...
  29. E

    Simplifying this equation using Boolean Algerbra

    Homework Statement Where . or SPACE (" ") = AND + = OR ` = NOT (Complementary) Homework Equations I've been having problems with the second question of my assignment. Here's the equation: [( a + bc ) + ( b` + a'c )]' = F The Attempt at a Solution So far, all I've done is this...
  30. S

    Simplifying Exponent Expression

    Homework Statement simplify: (x^(a-1))/x^((3a+4)) Homework Equations i was really dumb to think laws of logarithms would help me, but obviously not... The Attempt at a Solution the only thing i know is that the a's can't cancel! i don't know what to do !
  31. L

    Help with simplifying a 2nd order pde

    I was given the equation dp/ds = 4 + 1/e*d/de(e*dp/de) The derivatives in the equation are partial derivatives the values of p,s,e are dimensionless numbers. I am to assume that the solution is separable and then use finite difference method to solve for p, the finite difference method...
  32. G

    Simplifying Set Notations (Unions and Intersections)

    Thanks.
  33. B

    Simplifying Trigonometric Equations

    Homework Statement I've been studying trig. for my Precalculus class, and I decided to give 50 problems a try, though I got stuck in two of them: Reduce the first expression to the second in each of the following: 38.) cos2x-cos4x, cos2xsin2x and 68.) sec4θ - sec2θ, sec2θtan2θ...
  34. R

    Question on deMorgans law on simplifying boolean expressions

    Homework Statement I'm sure you all know deMorgans law on simplifying boolean expressions, I just can't seem to get it. It doesn't make sense to me, like ([not]x.[not]y) = [not]x + [not]y].2. The attempt at a solution I tried it and I don't know why it doesn't work for me ie. ([not]1.[not]0) =...
  35. A

    Factorization and Simplifying.

    Homework Statement Use Factorization to simplify the given expression. Homework Equations (x^3 + 3x^2 + 3x +1)/(x^4 + x^3 + x + 1) The Attempt at a Solution I can't get to the first step. I forgot how to factor exponents higher than x^2.
  36. O

    Solving ϵ-N Proofs: Simplifying the Denominator with sqrt(2)

    ϵ-N proof Homework Statement Homework Equations The Attempt at a Solution I've tried to make the denominator smaller as is usual with ϵ-N proofs. But the sqrt(2) confuses me. Any help is much appreciated.
  37. S

    Simplifying the Buckingham equation

    Hello, i have a question which is too hard for me to type in here, so I've scanned in the image. At the top, as explained in the image, i have the answer I've found in my lecture notes, but then I've worked it out for myself and i do not get the same answer. Can someone please tell me where...
  38. 5

    Simplifying the Derivative of the Square Root of a Sum Containing a Square Root

    Homework Statement EDIT: Ahhh, my apologies. At first, I thought it appropriate for the non-calculus sub-forum, but by the title it really does not, XD. I also can't seem to find how to remove it. The question really does not require calculus, though! Basically, the problem of finding the...
  39. F

    DEQ/Calculus (FTC) Question Simplifying Nonintegrable Function

    Homework Statement Greetings, I am having trouble understanding the solution to this DEQ equation. I am able to solve the equation using the variation of parameters technique, however, when it comes to simplifying the integral I am lost. It appears they are using the Fundamental Theorem of...
  40. G

    Simplifying Rational Imaginary Functions

    Why does (5 i)/(3 (1-i)) = -5/6+(5 i)/6
  41. F

    Solving for the Inverse Function of a Quadratic Equation

    Homework Statement f(x) = 3x^2-6 We are asked to solve for the inverse function of the above function. Homework Equations The Attempt at a Solution y=3x^2-6 x=3y^2-6 \frac{3y^2=x+6}{3} y^2 = \frac{x+6}{3} \sqrt{y^2}= \frac{\sqrt{x+6}}{3} y=...
  42. G

    Simplifying changes integration

    Hi, Wanted to know if anyone could explain why if you simplify an expression into a different equivalent form, the integrations are different depending on which form you use. For example: \frac{1}{\frac{5x}{7}+3} = \frac{1}{\frac{5}{7}(x+4.2)} \int\frac{1}{\frac{5x}{7}+3}dx =...
  43. D

    Can two blackbody emitters combine to act like one emitter?

    I'm having a discussion about blackbody radiation on one of the other forums. I'm trying to prove that two blackbody emitters combine to act like one blackbody emitter. Unfortunately the algebra is beyond me. What I need to show is the following: I want to show that...
  44. T

    Simplifying ANOTHER very anoying equation

    Homework Statement (cos4x) + 2(cos2x)(sin2x) + (sin4x) Homework Equations All Pythagorean, reciprocal, and quotient identities. The Attempt at a Solution Okay, so I thought that maybe (cos4x) + (sin4x) might be the same as its Pythagorean identity (which would make that mess just...
  45. T

    Simplifying an incredibly annoying equation

    Homework Statement Simplify: 1 + (cot2x) - (cos2x) - (cos2x)(cot2x) Homework Equations All reciprocal, quotient, and Pythagorean identities. The Attempt at a Solution I have spent SO much time trying to figure this out, the answer is "1" but I cannot get it! I managed to get "1 +...
  46. M

    Find the Nth Term: Simplifying the Denominator

    Homework Statement find the nth term Homework Equations x/2+(x^2)/3+(x^3)/2^2+(x^4)/3^2+(x^5)/2^3+... The Attempt at a Solution the numerator clearly is x^n but i have problems with the denominator
  47. F

    Simplifying Expression: 2(x-3)(x+2) + (x-3)^2 Explained

    Hello, I have this expression: 2(x-3)(x+2) + (x-3)^2 It is simplified to: (x-3) (2x+4+x-3) I understand how the (x-3) has been separated to start the simplification process, but I cannot grasp how the rest was done. Can someone please tell me the rest was simplified ? Thanks...
  48. F

    What is the Best Way to Write a Short Webpage Title?

    very sorry, this does not belong in this forum.
  49. J

    Simplify Radical sqrt(65/7)/[2sqrt(2)] | Step-by-Step Guide & Explanation

    sqrt(65/7)/[2sqrt(2)] I know how to simplfy radicals but this one has me stuck. I tried to answer it and i got sqrt(65)/[2*sqrt(2)] is this right?
  50. J

    Simplifying Limit Expressions with Rationalization: f(x) = √(x-1)

    Homework Statement Fore each of the following functions, find the expression for [ f(x+h) - f(x)] / h. Simplify each of your expressions far enough so that plugging in h=0 would be allowed. ... (f). f(x) = √(x-1) (Hint: Rationalize the numerator) Homework Equations Nothing...
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