What is Simplify: Definition and 373 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. 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
  2. B

    How to Solve Cubic and Quartic Equations for Homework

    Homework Statement Find the solution for : X = \sqrt[3]{3+\sqrt{9+\frac{125}{27}}} \sqrt[]{-3+\sqrt{9+\frac{125}{27}}} It doesn't appear above but is to subtract the first member by the second! Any help will bevery welcome! The answer is X= 1 Homework Equations The Attempt at a Solution
  3. P

    Is it possible to simplify the RH problem?

    Hello everybody. It's my first post and I'm not a mathematician so please bear with me. I'll try to make it vaguely interesting. I'm fascinated by the problem of deciding the Riemann Hypothesis. The trouble is, I'm not clever enough to understand it. The zeta function may as well be martian...
  4. A

    Find and simplify the derivative (quotient rule)

    Homework Statement find the derivative of (x2 - 3)4/(2x3+1)3 and simplify Homework Equations The Attempt at a Solution as far as i could get was 8x(x2-3)3-18x2(2x3+1)2/(2x3+1)6 which is not simplified. How can you simplify something like this? Is there a systematic way...
  5. M

    Simplify Function Homework: Stuck on Further Simplification

    Homework Statement Started at (x * x/sqrt(1+x^2))/sqrt(1+x^2)-1 Homework Equations The Attempt at a Solution now I am at (x^2 (1 + x)^(1/2) - x^2)/(1 + x)^(1/2) I am stuck on how to simplify further
  6. P

    Simplify or clarify e^e^e^x ?

    Is there any way to simplify or clarify e^e^e^x ? Some sort of equivalence to a hypergeometric? How about e^e^x? Thanks
  7. G

    Why is my teacher taking off points for not simplifying correctly?

    Help me "simplify" Homework Statement Ok my teacher has robbed me of points, seriously I'm tired of teachers stealing points from me because when your asked to simplify an expression your asking someone to do something that can't clearly be defined... you'll never ever come up with a clean...
  8. E

    Simplify using Factoring after Quotient Rule

    I am taking an online Introductory Calculus course. I have a decent understanding thus far, however, the problem I'm working on gets somewhat messy and I am having a difficult time simplyifing the answer. f"(x) = (x^2 + 9)^2 (-2x) - [(9 - x^2)(2)(x^2 + 9)(2x)]/(x^2 + 9)^4 the solutions manual...
  9. D

    Is there an easy way to simplify a 3 term squared paranthesis?

    I know I probably learned this 10 years ago, but I really have no idea how to simplify something like this: (A*B + C*D + E*F)2 Is there any kind of shortcut (even a website that does it automatically!) that can help me solve expressions like this?
  10. G

    How can I simplify x^3 - 27 completely?

    Homework Statement I got down to here and didn't know where to go from here http://www.wolframalpha.com/input/?i=%28x-3%29%28x-3%2F2%28-1%2Bi%5E%282%2F3%29%281-i%5E%28-4%2F3%29%29%29%29%28x%2B3%2F2%281%2Bi%5E%282%2F3%29%281-i%5E%28-4%2F3%29%29%29%29 see the input value on that link if you...
  11. J

    Simplify and express with positive indices

    Ok, so I have this Expression, (6x+2 x 42x-4 x 35-x x 2x-6)/(124x+3 x 92x-3) But it needs to be simplifyed, and expressed with positive indices. Now as far as my knowledge takes me, this can't be simplifyed, but then I am probably wrong. If anybody could help to solve, that would be great.
  12. J

    Simplify and express with positive indices, a little help?

    Simplify and express with positive indices, a little help? I am no good at these, can anyone show me how to work these out? (18x3 X 2x-4)/(4x-5 X 6x) 83sqrt(p12 q-8) X 34sqrt(p-10 q9) and (6x+2 X 42x-4 X 35-x X 2x-6)/(124x+3 X 92x-3) ps. The Capital X's are multiplication signs
  13. V

    Simplify the logarithim expression

    not actually homework, but things I need to know: 1: simplify the expression e^{a ln b} (write it in a way that dosen't involve logarithims) i want to prove the identities: lnab = lna + lnb lna^b = blna \frac{d}{dx}lnx = \frac{1}{x} i also want to derive the useful assumption...
  14. G

    Simplify this algebraic expression

    I have been asked to simplify this one: 12x3 + 8x2 / 6x2 + 4x By factoring it out I have simplified it to 4x2 / 2x Is there anything I can do to simplify it further? I know the rules of dividing powers and hence if it was 4x2 / 4x I know I could simplify it to to 4x (subtract the...
  15. G

    Simplify this algebraic expression

    How can I simplify this expression? As it is already factorised (factored) I do not see what else I can do to simplify it. x(9x+2) / x3(x-2) The only thing that I can think of is if I unfactorise everything to give the following:(although it doesn't seem to be very simplified from the...
  16. D

    Mathematica Simplify this expression with Mathematica

    I know this expression should return a Gaussian distribution but I can't get Mathematica to simplify the integral. What am I missing? \text{Simplify}\left[\frac{\text{Product}\left[\text{PDF}\left[\text{NormalDistribution}[y,\sigma...
  17. M

    Simplify Boolean Algebra: A'C' + A'D' Solution Example

    Homework Statement [PLAIN]http://img340.imageshack.us/img340/7690/123rk.gif Homework Equations The answer should be A'C' + A'D'The Attempt at a Solution Shown in above in the question. I want to know how can i get the correct answer. As you see above, in my last step, I wonder whether B'+BD...
  18. S

    How do I simplify this equation step by step?

    Homework Statement simplify the following equation ((20*(4*x-1)^4)/(3*x+5)^7)-((4*x-1)^5/(21*(3*x+5)^8)) The Attempt at a Solution i took (4*x-1)^4)/(3*x+5)^7) as a common factor and ended up with (4*x-1)^4)/(3*x+5)^7)*(20-((4*x-1)^5/(21*(3*x+5)^8))) can someone show me how to...
  19. D

    Simplify the following circuit (all impedances)

    Homework Statement Calculate the equivalent impedance about terminals A and B. [PLAIN]http://img218.imageshack.us/img218/9335/circuits827.png Z1 = -j2 ohms Z2 = 1 ohm Z3 = j2 ohms Z4 = 2 ohms Homework Equations Adding parallel: Zeq = z1*z2/z1+z2 Adding in series Zeq = z1+z2...
  20. 0

    Why can't \sqrt{30-x^2} be simplified to \sqrt{30}-x?

    Hi all, I am reading about trigonometry and pythagoras.. I found this (30-x2)1/2 Would it be the same as (sqrt30 - x) ?? Is there any way to simplify it? thanks in advance
  21. J

    Simplify trigno expression

    Homework Statement cos(2 * arcsin(2x)) Use a triangle to simplify each expression. Where application, state the range of x's for which the simplification holds. Homework Equations cos(2t) = cos^2(t) - sin^2(t) = 1-2sin^2(t) = 2cos^2(t) - 1 The Attempt at a Solution My attempt was the...
  22. S

    How would you simplify [tex]a(y-b/3a)^3[/tex]

    Cannot figure out how to distribute this, please help :D- sorry about title should be a(y-\frac{b}{3a})^3
  23. T

    How to simplify: ((sqrt3)/3)+1 /(1-(sqrt3)/3)

    ok, how do you simplify: ((sqrt3)/3)+1 /(1-(sqrt3)/3)
  24. J

    Algebraic steps to simplify an equation

    Homework Statement Could someone show me the algebraic steps involved in the following equivalency? Homework Equations The Attempt at a Solution EDIT: see attempt below. I eventually answered my own question. Thanks, Mark44.
  25. P

    Solve Math Problem: Simplify \sin\theta\sec\theta+\cos\theta\csc\theta

    Homework Statement simplify: \sin\theta\sec\theta+\cos\theta\csc\theta Homework Equations Reciprocal identities, Quotient identities, Pythagorean identities The Attempt at a Solution \sin\theta\sec\theta+\frac{1}{\sec\theta}\frac{1}{\sin\theta}...
  26. G

    Expand and simplify brackets

    I'm studying expanding and simplifying brackets and I'm not sure how to tackle this type of problem: -3e + (e - 1) It's the + sign before the bracket that confuses me. My (wrong) answer was: -3e squared + 3e I guess that would have been right if that + wasn't there. The answer is: -3e...
  27. G

    Expand and simplify this formula

    I had to expand and simplify this formula and I got it wrong. 2a + 2 (3a + 2) I first multiplied the 2a by everything inside the bracket, giving: 6a squared + 4a Then multiplied the 2 by everything inside the bracket, giving: 6a + 4 so in total I had: 6a squared + 4a + 6a + 4 which I...
  28. N

    Mathematica Help ly needed in Mathematica Simplify

    Help urgently needed in Mathematica Simplify Dear All, I have a very longe expression (see file attached ) of variables x, a, Lambda... etc, when I apply "Simplify" I am left only with very short expression ONLY with variable Lambda. But if in the initial expression I declare...
  29. Mentallic

    Mathematica the Simplify[] command

    Homework Statement Simplify to a certain extent, as much as possible (factorized form would be best)...
  30. D

    Identities simplify expression

    I have been trying to do this problem for a long time, and still can not do it. I know the answer is sin2x, but I have no idea how to do it: write expression as sine, cosine, or tangent of an angle sin3xcosx - cos3xsinx THANKS!
  31. D

    Trig identities help How to simplify by multiplication/division

    Ok guys, here's my problem. I left on vacation with my parents before I learned how to do these correctly. I have been trying and I sort of have the gist of them down. For instance, tan A*sec A simplified is sin A. A=theta. But as I move on they stop making sense, and this is where my problem...
  32. C

    How to simplify 1/(cos^4x+sin^4x)

    Homework Statement Simplify 1/(cos^4x+sin^4x) Homework Equations One can't apply cosine of a difference when the cosine is raised to a power, right? The Attempt at a Solution I tried using several trig identities, but it doesn't get any simpler. Thank you for any help in advance!
  33. T

    Help simplify the matrix equation

    I encounter a problem when simplifying the following equation, can anyone give a hint:) Let A denote an orthonormal matrix, X be a symmetric matrix. diag(A) is an operator that creates a diagonal matrix of A. Then, my problem is how to simplify the equation: A^{-1} \cdot diag(A \cdot...
  34. Z

    Don't understand how to simplify this limit

    Homework Statement lim x->-1 x^1/3 + 1 / x + 1 = x^1/3 + 1 / x + 1 ((x^2/3 - x^1/3 + 1) / (x^2/3 - x^1/3 + 1)) = x + 1 / (x + 1)(x^2/3 - x^1/3 + 1) cancel out and done I don't understand how to know what reciprocal to multiply in cases like these to make it work. Please help.
  35. X

    Simplifying Factorials: How to Simplify 2n+2!?

    Just a quick question. I'm having problems with factorials. For example, how do you simplify 2n+2!? Is it 2n!*2n+1!? Thanks everybody!
  36. J

    Simplify e^(1/n+1)/e^(1/n) Homework Equation

    Homework Statement e^(1/n+1)/e^(1/n) Homework Equations this is for a series test "ratio test" I need to simplify it I went blank in this part thanks The Attempt at a Solution
  37. montoyas7940

    Quadratic Solution Simplification: Is My Work Correct?

    Homework Statement Simplify \frac{-2\pm\sqrt{-56}}{30} \frac{-2\pm 2i\sqrt{14}}{30} \frac{-1\pm i\sqrt{14}}{15} Is this correct?
  38. A

    Driving me batty CSC^4x -COT^4x; simplify.

    Homework Statement The problem is to simplify the following trig equation: csc^4x - cot^4x Homework Equations There really isn't any I can think of. The Attempt at a Solution When I attempt to simplify csc^4x - cot^4x I arrive at the result, from factoring, (csc^2x +...
  39. G

    Calculators How Can I Automatically Simplify Fractions on My Hp 50g Calculator?

    I remember setting my calculator so it would automatically use the expand function or simplify fractions for me in RPN mode.Since I did a reset I don't know how to put that function on again. For example if I was to put 1 enter 3 divided, I would get 1/3 then if I were to multiply by 2...
  40. F

    Simplify Complex Number Fraction

    Homework Statement \frac{(cos60 - isin60)^5 * (cos45 - isin45)^3}{(cos15-isin15)^7} Homework Equations The Attempt at a Solution I have had several tries so far, but simply do not know what to do. Would somebody be so kind and simplify this expression step by step. I...
  41. P

    Simplify Problem: Solve x^3/2(x+x5/2-x2)

    Homework Statement x^3/2(x+x5/2-x2) Homework Equations I don't know how to simplify this problem. I don't know any process either. The Attempt at a Solution
  42. C

    Simplify: (a+2b+3c, 4a+5b+6c, 7a+8b+9c)

    Homework Statement "Simplify: (a+2b+3c, 4a+5b+6c, 7a+8b+9c)." All of these are vectors (a=\vec{a}, etc.) Homework Equations I know that set of vectors \vec{x}_1+\cdots+\vec{x}_n \in V is linearly independent if linear combination \alpha_1\vec{x}_1+\cdots+\alpha_n\vec{x}_n equals \vec{0}...
  43. S

    Simplify cofunction expression

    Homework Statement csc(pi/2-x)/cos(x+pi/2) + cot(pi/2-x) The Attempt at a Solution 1/cosx/-sinx + sinx/cosx -1/sinxcosx+ sinx/cosx(sinx/sinx) (sin2x - 1) / sinxcosx -cos2x/sinxcosx -cosx/sinx -cotx is this right the answer key says it is cosx but that could be wrong I...
  44. A

    Differentiate and simplify

    Homework Statement Differentiate... (3x+4)^7 (7x-1)^3 and simplifyHomework Equations Chain rule and Product rule The Attempt at a Solution I got (splitting the components up to substitute into the product rule) and using the chain rule \begin{align*} \\f(x) = (3x+4)^7\\ f'(x) =...
  45. N

    Second Derivative of f(E) for Taylor Expansion at E_0

    Homework Statement f(E) = \left(\frac{E_c}{E} \right)^{1/2} + \frac{E}{kT} Need to take second derivative with respect to E for Taylor expansion about E_0 where E_0 = [\frac{1}{4}E_c(kT)^2]^\frac{1}{3}, which is the Gamow peak. Homework Equations The Attempt at a Solution...
  46. S

    Simplify Equation: How to Solve for C?

    i'm having trouble simplifying an equation. Basically it's in the form of 1/A=B(1/C-1/D) Now what i can't to do is solve for C. I get to 1 = C(1/AB + 1/D) but do not know where to go from there. Any help would be much appreciated, thanks.
  47. L

    Simplify trigonometric equation problem

    Homework Statement Simplify the following. Write all trigonometric functions in terms of t. Homework EquationsThe Attempt at a Solution I know that: sec(t+2pi)=sec(t) 1+tan(t+3\pi)= 1+tan(t) What about: csc(t-6\pi)? Will it be equal to csc(t). Can anyone please help me with this? Thank you...
  48. U

    Simplify quotient of trignometric functions

    Simplify \frac{sinx + tanx}{cscx + cotx} I start with \frac{sinx + tanx}{cscx + cotx} = \frac{sinx + \frac{sinx}{cosx}}{\frac{1}{sinx} + \frac{cosx}{sinx}} At this point I am stuck, I cannot see how we then get from \frac{sinx + \frac{sinx}{cosx}}{\frac{1}{cosx} + \frac{cosx}{sinx}} =...
  49. N

    How to simplify sqrt(2)/(sqrt(2) - 1) to 2 + sqrt(2)

    Homework Statement I feel really stupid asking this, but I'm working on infinite series and my answer is sqrt(2)/(sqrt(2)-1) The book simplifies this to 2 + sqrt(2) and I don't know how this simplification occurs. I'm sure the answer is really obvious and I sure feel stupid not seeing it! Any...
  50. W

    Simplify $ln(x(\sqrt{1+e^x}-\sqrt{e^x})) + ln(\sqrt{1+e^{-x}}+1)$

    Homework Statement As in title, simplify ln(x(\sqrt{1+e^x}-\sqrt{e^x})) + ln(\sqrt{1+e^{-x}}+1), x > 0. Homework Equations - The Attempt at a Solution So far ln(x(\sqrt{1+e^x}-\sqrt{e^x})) + ln(\sqrt{1+e^{-x}}+1) = ln(x(\sqrt{1+e^x}-\sqrt{e^x})(\sqrt{1+e^{-x}}+1)) =...
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