What is Simplify: Definition and 372 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. J

    Simplify & eliminate negative exponents

    Hi there, Please help :) out of school for years started studying again and finding it so hard to pick up the basics again! But am trying very hard! Homework Statement Simplify the expression and eliminate any negative exponents Homework Equations (2x^3)^-2 (3x^4)^2...
  2. G

    How is (208 − 18y)/7 simplified to (29-2y) + (5-4y)/7?

    In my textbook it simplifies (208 − 18y)/7 to (29-2y) + (5-4y)/7 How does this happen?
  3. M

    How do I simplify this equation further?

    Hi, Please see the attached document. I don’t know how simplify the equation further. I am trying to find the relationship between i and r. D and T are constants. Thanks.
  4. S

    Please give some idea for simplify the following proposition

    [ p→>q] or [ (>q→r) and (>r→>p) ] thank you
  5. cocopops12

    What is the trigonometric identity used to simplify this expression?

    Could anyone please tell me how are those two expressions equivalent?! what are the identities used?
  6. H

    How do you simplify the following expressions?

    I'm only in 9th grade math, so please don't give me complicated calculus answers. And I prefer if you give steps on how to solve each step. Thanks in advance! 1. 5^-2/p 2. 3x^-2/y 3. (x^-5) (y^-7) 4. 8/2c^-3 5. (6a^-1) (c^-3)/d^0 6. (9^0) (y^7) (t^-11)
  7. L

    Arranging a fraction to simplify it

    Homework Statement \stackrel{lim}{x\rightarrow}∞ \sqrt{x^2+x}-x I'm taking the limit of a rational function as x approaches ∞. However, within the problem, there is an algebraic arrangement I'm having trouble with. How would I get from the first fraction to the second fraction? Applying...
  8. P

    Simplifying Complicated Expression: ((i+1)^{n+1} - (i-1)^{n+1})

    I've got this complicated expression that I'm trying to simplify and this is one piece which I feel might have a really simple form: ((i+1)^{n+1} - (i-1)^{n+1)) for n ≥ 0. Thanks.
  9. G

    How to Simplify (Lnx)^n for Homework?

    Homework Statement Im trying to simply (lnx)^n say (ln2)^3 Homework Equations ? The Attempt at a Solution Im lost on this one I can't find any information. All info I'm finding is dilute because of similar search terms. Please, and thanks!
  10. B

    Derivative of (x^2-x^-1+1)(x^3+2x-6)^7; cannot simplify

    Homework Statement Find the derivative of (x^2-x^-1+1)(x^3+2x-6)^7 Homework Equations This is a product so I used the product and chain rule where appropriate The Attempt at a Solution (x^3+2x-6)[7(x^2-x^-1+1)(3x^2+2)]+[(x^3+2x-6)(2x+1/x^2)] This is as far as I could get in my...
  11. T

    Calculus - Taylor Expansion, maybe. Not sure how to simplify.

    I am attempting to complete a problem for a problem set and am having difficulty simplifying an expression; any help would be greatly appreciated! The question is a physics question which attempts to derive an equation for the temperature within a planet as a function of depth assuming...
  12. anemone

    MHB Simplify cos(a)cos(2a)cos(3a)....cos(999a) if a=(2pi)/1999

    Simplify cos(a)cos(2a)cos(3a)...cos(999a) if a=(2pi)/1999 I don't see any way to approach this problem but my attempt is to group cos(a).cos(999a), then cos(2a).cos(998a), and so on. Then I get 500 pairs where the first two pairs are 1/2[cos(100a)+cos(998a)] and 1/2[cos(100a)+cos(996a)], and...
  13. S

    Please show me how to simplify this recurrence relation

    I'm doing a much larger problem and I am stuck going from: T(n) = 14 + T (n − 2) + 10(n + (n − 1)) to T(n) = (n − 1)7 + T(1) + 10(Σi=2 to n of i) and I would very much appreciate it if someone could show me the detailed steps. (I've been told something about expanding the recursive...
  14. K

    Simplify a summation and its product

    I have been working on representing the powers of numbers as a summation. This is as far as I have gotten. Power: 2 m^2 = \sum_{n=1}^m \left(2n -1\right) Power: 3 m^3 = \sum_{n=1}^m \left(3n^2 -3n +1\right) Power: 4 m^4 = \sum_{n=2}^m \left[6*(4n-6) * \left(\sum_{a=1}^{m-n+1}...
  15. S

    Simplify Equations: 3(x-1)/(x+1)(x-2) + 2(x-1)/(x-2)(x-4) - Tips & Tricks

    How would I go about simplifying this: 3(x-1) / (x+1)(x-2) + 2(x-1) / (x-2)(x-4) Thanks!
  16. A

    MHB Simplify expression with exponents

    simplify and answer should be in positive exponents. (((4x^6)^3(4y^-8))/((2x)^4(12y^3)^2))^1/2 please help and thanks
  17. S

    Simplify Fractions: 2/(49^1/3+7^1/3+1)

    Homework Statement Simplify \frac{2}{49^{1/3}+7^{1/3}+1}Homework Equations The Attempt at a Solution I can simplify \frac{2}{49^{1/3}+7^{1/3}} but I don't have idea how to do this one.. EDIT: I have found it. No need to reply this. Thanks :)
  18. S

    How to Simplify a Square Root with Multiple Radicands

    Homework Statement Simplify \sqrt {10 + \sqrt{24} + \sqrt{40}+\sqrt{60}} Homework Equations \sqrt{a+b+2\sqrt{ab}} = \sqrt{a}+\sqrt{b} The Attempt at a Solution \sqrt {10 + \sqrt{24} + \sqrt{40}+\sqrt{60}} = \sqrt {10 + 2 \sqrt{6} + 2 \sqrt{10}+ 2 \sqrt{15}} Stuck...
  19. T

    Simplify the following expression

    Homework Statement http://img513.imageshack.us/img513/88/71893688.png Homework Equations Not applicable. The Attempt at a Solution http://img441.imageshack.us/img441/846/14479081.png I'm already stuck! I calculated both expressions and they don't equal each other. :(
  20. J

    Simplify definite integral formula

    Homework Statement Working my way through Zienkiewicz's "FEM its basis & fundamentals" I am stuck on the following example: - \int_{y_1}^{y_2} t N1 \left\{ \begin{array}{c} \sigma_x \\ \tau_y \end{array} \right\} dy = -\left\{ \begin{array}{c} k_x t (2 y_1 + y_2) (y_2 - y_1) / 6 \\ 0...
  21. M

    How to Further Simplify the Expression (A + A*B)?

    Homework Statement (xy’+z)’.((xz)’+y') The Attempt at a Solution (xy’+z)’.((xz)’+y’) =(x'+yz’).(x’+z’+y’) =x’x’ + x’z’ + x’y’ + yz’x’ + yz’z’ + yz’y’ =x’ + x’z’ + x’y’ + yz’x’ + yz’ + z’ Can it be further siplify?
  22. M

    How do you Simplify 4^(7/3) - 12^(4/3)? Please Step by Step

    Homework Statement (Square Root Exponents) 4(7/3) - 12(4/3) For this problem The answer is 4x^2 - 12x but i tried i could not seem to obtain the same answer, could you please explain on how to do this step by step so I know do the rest of other problems Homework Equations The...
  23. J

    Simplify the following equation [Complex Numbers]

    Homework Statement I'm in differential equations right now and we are about to start Laplace Transforms. Our homework is over complex numbers: Simplify the following equation: 1+cos(\theta)+cos(2\theta)+cos(3\theta)+...+cos(n\theta) Homework Equations The Attempt at a...
  24. D

    Simplify boolean expression (a+b+c)*(a'+c)*(a'+b')

    Homework Statement I need to simplify the boolean expression by algebraic manipulation as much as possible. (a+b+c)*(a'+c)*(a'+b') Homework Equations + stands for OR * stands for AND (or no operator between variables) ' Stands for NOT The Attempt at a Solution I tried but I do not...
  25. M

    Can F1 Expression Be Further Simplified?

    Is it possible to simplify this further? F1=(A’∙B∙C)+(A∙B’∙C’)+(A∙B∙C’)+(A∙B∙C)
  26. P

    How do I simplify this fraction?

    Homework Statement Simplify the following expression by rewriting it as a single simple fraction in simplest form: Homework Equations not much just factoring and solving for P The Attempt at a Solution I tried to factor the fractions by multiplying the denominators with the numerators and...
  27. J

    Is there a way to simplify a^log n, a = 1 / b

    Is there a way to simplify a^log[b]n, a = 1 / b I don't know if this is possible, but I thought I would ask for another opinion if I'm overlooking something. Anyway, is there a way to simplify alogbn, a = 1 / b
  28. DryRun

    Simplify complex number expression into acos(wt+x)

    Homework Statement I could not type it here, so i made a screenshot and posted it below. Homework Equations it's about complex numbers undergraduate level. I'm currently doing Euler's formula and De Moivre's theorem, although I'm not sure that the solution lies there. The Attempt at...
  29. D

    Simplify each expression: 2/1+y-2 /2x^3+x

    Homework Statement 2/1+y-2 /2x^3+x its all over top of 2x^3+x Homework Equations The Attempt at a Solution should i multiply the top by 1+y, like the 2 and the -2.
  30. D

    Simplify each expression: 2(4-h)^2-32/h

    Homework Statement simplify each expression: 2(4-h)^2-32/h Homework Equations The Attempt at a Solution I forget if I should multiply the 2 into the 4-h.
  31. H

    Simplify Equation - Can You Help?

    Hi, I'm trying to simplify the following equation, but I'm not sure it can be! Can anybody help me please? \frac{sin(\alpha + \delta \alpha)} {sin(\beta + \delta \beta - \alpha - \delta \alpha)} - \frac{sin(\alpha)} {sin(\beta - \alpha)}
  32. 1

    Find the derivative of the expression and simplify fully.

    Homework Statement k(x) = x^2(2x^3+x)^1/3 Homework Equations I used the product rule and the chain rule to get to the point that i did. The Attempt at a Solution dy/dx(x^2)(2x^3+x)^1/3 + dy/dx(2x^3+x)^1/3(x^2) = (2x)(2x^3+x)^1/3 + 1/3(2x^3+x)^-2/3(6x^2+1)(x^2) I can't...
  33. 1

    Determine the derivative of the following. Simplify fully.

    Homework Statement y = (3x+2)(x+5)^4 Homework Equations Here, i tried using the chain rule on (x+5)^4 first, and then i tried using the product rule for the entire expression with no success. Can someone help me please? The Attempt at a Solution dy/dx (3x+2)(x+5)^4 +...
  34. A

    Simplify the follwoing Equation

    Sounds waves in a pipe of varying cross-section are described by the equation V2 d/dx (1/A dAu/dx) = d2u/dt2 Where A = 0.2+0.3x So first I substituted A into the equation: V2 d/dx (1/(0.2+0.3x) d(0.2+0.3x)u/dx) = d2u/dt2 V2 d/dx (0.3u/(0.2+0.3x) du/dx) = d2u/dt2This is as far as I can get...
  35. S

    Simplify to find theta, my brain is fuzzled from to much work today

    2(exponential^theta)^2 - 10 = 6(exponential ^theta)
  36. D

    How can I simplify this derivative?

    Homework Statement h(x) = (x2 + 3) / (2x - 1) And if f = the numerator And if g = the denominator, h'(x) = (f/g)' = [ (x2)' + 3' ) * (2x - 1) ] - [ ((2x)' - 1')) * (x2 + 3) ] ALL DIVIDED BY (2x - 1)2 = [2x (2x - 1) - 2 (x2 + 3) ] ALL DIVIDED BY (2x - 1)2 Would I then use the...
  37. A

    Simplifying Fractions: Step-by-Step Guide

    Homework Statement Simplify: \frac{3a(a^2-4ab+4b^2)}{6a^2(a^2+3ab-10b^2)} Homework Equations The Attempt at a Solution Tried factoring stuff out, etc. This "teach yourself albebra" book is getting more and more annoying. Even mathway.com can't solve them (which is what I used to see steps).
  38. Z

    How can trigonometric identities be used to simplify complex expressions?

    Homework Statement I need to solve this: cosx - cos2x + cos3x = 0 Homework Equations The Attempt at a Solution The solution shows something like: (cosx + cos3x) - cos2x Then using the sum to product on the first group and double angle on the cos2x. I would know to...
  39. H

    Simplify logarithmic equations

    Homework Statement Simplify log21/8 Homework Equations - The Attempt at a Solution the answer i got was -3 but it is not right.
  40. G

    Mathematica [Mathematica] Simplify can't handle this trivial example

    Hi everyone, I'm wondering why Mathematica (8.0) can't bring this to the obvious form -1, and leaves the expression as is: Simplify[(b^8 + c^4) /a^8, a^8 + b^8 + c^4 == 0] Is there any nice and elegant way how to achieve that? (I know, that I could take e.g. /.c->(-a^8-b^8)^(1/4), but...
  41. I

    How do you simplify irrational exponents?

    It is clear that 10^2 can be simplified to 10*10=100. But what about say, 10^0.5? I have been thinking about this for days and can't figure out how it simplifies. 10^1 is 10, 10^0 is 1, so 10^0.5 should be under 1, but it is 3.16, so I don't get it. Same with 10^-1 is 0.1. How exactly are...
  42. M

    Simplify Math Course Work: How to Rationalize Denominators with Conjugates

    Homework Statement Simplify [PLAIN]http://www4c.wolframalpha.com/Calculate/MSP/MSP249819e8ec729ig8433b00002e0fh793haeag630?MSPStoreType=image/gif&s=15&w=137&h=59 Please kindly show the working steps as well. ^^ Thanks. Homework Equations The Attempt at a Solution I tried but i...
  43. C

    Simplify this regular expression

    I'm unsure if this regular expression can be simplified, if it can, could you please explain how? Thank you! (a U b)*(a U e)b* U (a U b)*(b U e)a* The e is the empty string, and the U stands for union.
  44. T

    How to simplify (2x - 3)^2 - 2x(2x - 5)

    Homework Statement simplify (2x-3)² - 2x(2x-5).Homework Equations The Attempt at a Solution (2x-3)² - 2x(2x-5) to 2x² + 9 - 4x² + 10x to 2x² + 9 + 10x
  45. M

    Simplify Equation - Get Help from Experts

    Hello there, I am not sure which subject to put this under. I need to simplify the attached equation (if possible). Any help would be greatly appreciated. Regards, Matt
  46. F

    MATLAB How Can I Simplify This Matlab Source Code for GUI Implementation?

    Hi, Matlab noob here. I need your help to simplify this Matlab source code. Here the code that i currently use for k=1:1:gg k1=gains(k,1); k2=gains(k,2); k3=gains(k,3); . . kn=pidgains(k,n) [T,X,Y]=sim('Evaporator_PID',[Tstart Tfinal],opt); end...
  47. N

    How to Simplify Boolean Algebra: Can Someone Help Me with This Problem?

    hey there.. can someone help me with the problem given.. Problem.. simplify b ⊕ c' Homework Equations The Attempt at a Solution i don't know how to attempt this question.. can someone can give me an idea to start.. thanks in advance
  48. Hepth

    Mathematica MATHEMATICA : Forcing Logarithms to Simplify

    How can I force : A Log[b] + A Log[c] to simplify to A Log[b c]? I tried, A,b,c all elements of reals, but it doesn't do it. (Assume everything is Real) I know I can make some patterned rules but I'd rather have it be by default. (i.e. : a_ Log[b_] + a_ Log[c_] :> a Log[b c])
  49. M

    How to simplify -4 + 4h - (-1+3h-3h^2+h^3)

    Homework Statement -4 + 4h - (-1+3h-3h^2+h^3) Homework Equations The Attempt at a Solution -4 + 4h + (1-3h+3h^2-h^3) = -3 + h +3h^2 -h^3 I am doing independent study on a computer program and it accepted my unsimplified answer as correct, but not my simplified one. What is...
  50. W

    How can I simplify this complex expression?

    I need the following expression simplified. 36/[64.4*(0.5+(2+ x)*((1-(1/4)*x^2 )^0.5)) ]-x*((1-(1/4)*x^2 )^0.5)=0
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