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. N

    How can I simplify this summation?

    Homework Statement Simplify the summation statement. Homework Equations a.) \sum^n _{k=0} = \frac{k-1}{2^k} b.) \sum^{\infty} _{k=0} = (3k - 3^k) c.) \sum^n _{k=1} = \frac{-1}{k(k + 1)} The Attempt at a Solution Please I need your help. Kindly...
  2. K

    Simplifying regular expression?

    Does anyone know if this regular expression can be simplified? (a*bc*bc*|c*)*b I tried (a|b|c)*b, but it's not correct.
  3. T

    Integration by parts and simplifying

    Hi, I have been working on this problem for the longest time and have just run in circles with it. I am thinking the answer is obvious but for some reason I am missing it. I need to find \int \frac{ln(x)}{x^2} dx I know that I need to use integration by parts and have tried a number of...
  4. T

    Why do we choose to multiply by 2 in simplifying this equation?

    the main problem I am having is i can't figure out how they simplified this equation. Ill try and use latex but its my first time so i don't know if it will work. \int(1-\frac{1}{3(x+1)}+\frac{(x-2)}{3(x^2-x+1)}) dx and somehow this simplifies to this x- (1/3)ln(abs(x+1)) +(1/6) \int...
  5. P

    Need Help with Simplifying Expressions on Your Graphing Calculator?

    {(m^2 +2m -3)/(m^2-4)} / {(m^2 - 2m +1)/(m^2 -1) = {(m^2 +2m -3)/(m^2-4)} x {((m(m-1))/ (m^2 -2m +1)} = [(m+3)m] / [(m +2)(m-2)] does that like rightish? any opinions will be appreciated! ~Amy
  6. J

    Problem with simplifying fractions

    Problem with factorising Hi, the question is to differentiate the following equation with respect to x. x^4(3x-1)^3 Using the product rule i think i'v partially completed this to x^4(3(3x-1)^2) + (3x-1)^3(4x^3) I'm now required to simplify this - which leaves me completely stumped...
  7. J

    Simplifying scattering integral, goldstein derivation 3.4

    Hi everyone, could anyone give me a hint on Goldstein derivation 3.4? Starting from \theta = \pi - 2 \int_{r_{m}}^{\infty} \frac{s / r^{2} dr}{\sqrt{1 - V(r)/E - s^{2}/r^{2}}} they do a change of variables to get \theta = \pi - 4 s \int_{0}^{1} \frac{\rho d\rho}{\sqrt{r_{m}^{2} (1...
  8. T

    Simplify Fractions: Tips and Tricks for Quick and Easy Simplification

    I'm wondering about fractions, and how I can simplify them. If they're small like 6/10, I see it straight away, but if they're big like 122/163, I don't really know where to start without resorting to random trial and error... Isn't there a more structural procedure to simplify fractions as...
  9. S

    Simplifying Logarithms: Solving logpie(1-cosx)+logpie(1+cosx)-2logpie sinx

    my question is simplify: logpie(1-cosx)+logpie(1+cosx)-2logpie sinx (i don't know how to make the pie symbol) i thought it was going to be logpie-logpiecosx+logpie+logpiecosx-2logpiesinx = 2logpie-2logpiesinx But, from my other post I was told you cannot do that with ln's.. is it...
  10. M

    How Do I Simplify ln(4+4y+4y^2)?

    hi quick question for this: simplify the following ln(4+4y+4y^2) i know i need to use those simplifying rules for ln which are ln(xy)=lnx+lny ln(1/x)=-lnx ln(x/y)=lnx-lny ln(x^r)=rlnx but for the question I am asked to simplify.. it doesn't really follow any of these... I was wondering...
  11. C

    Mastering Complex Fraction Simplification for Struggling Students

    I need some help Simplifying Complex Fractions. Here are some of the questions: http://learn.flvs.net/webdav/educator_algebra2_v5/Module6/ImagMod6/M6_07_10.gif http://learn.flvs.net/webdav/educator_algebra2_v5/Module6/ImagMod6/M6_07_11.gif...
  12. J

    Simplifying Algebra: Grade 11 Maths Q

    I am in grade 11 mathematics...i got this as a Thinking & Problem Solving Q..can someone simplify this, step by step? 4 - 1/x --------- 4 + 1/x THANKS!
  13. T

    How can exponents be simplified?

    Well here is the beginning of it: [-6(-4)^(n-1)] - 9 + [8(-4)^(n-2)] + 12 This is suppose to simplify to 2(-4)^2 + 3. But I have no idea how that 2(-4)^2 was obtained. Could anybody explain how that would work?
  14. R

    Simplifying sin(3pi/2-x): An Exploration

    What does "simplify" means in this case: Simplify each of the following: 1. sin(3pi/2-x)
  15. W

    How Do You Simplify Radicals with Variables?

    Started this today and I'm okay with simplifying radicals that don't include variables, but I'm having trouble solving ones with variables, like \sqrt{49y^{12}. I can't decide if I have to root it out like this \sqrt{7y^{6} times \sqrt{7y^{6} or just root it out the way it is since it is in...
  16. electronic engineer

    Can Boolean Logic Be Simplified to Use XOR Operations?

    let's consider this boolean logic experession: s=x'y'z+x'yz'+xy'z'+xyz can i simplify it to: s=x'y'z+x'yz'+xy'z' as xyz=1 where x,y,z in high logic(1) what's the simplest expression?
  17. U

    Simplifying sin^2 2θ/(1+cos^2 2θ) as a Function of sin θ

    1. Express \frac{sin^2 2 \theta}{1+cos^2 2 \theta} as a function of sin \theta here's what I did: = \frac{4 sin^2 \theta cos^2 \theta}{1+(2cos^2 \theta -1)^2} = \frac{4 sin^2 \theta cos^2 \theta}{1+(4cos^4 \theta - 4 cos^2 \theta + 1)} = \frac{2sin^2 \theta cos^2 \theta}{2cos^2...
  18. G

    How Do I Simplify the Function f(x) = cos(x)(3cos(3x)) + (sin(3x))(-sin(x))?

    hey, i need to simplify this, and I am having a brain fart:confused: ...can u help me? f(x)= cosx(3cos3x) + (sin3x)(-sinx) i then have to find f(pi/6), but I am hoping i can do that once this is simplified... thanks Gill
  19. C

    Help with Trigonometric Simplifying

    Hi, i need help with simplifying this problem. I think it is an identity, but it looks very complex, and I wanted some other peoples thoughts/opinions. Well here goes... cos^2((pi/4)-(x-2)) - sin^2((pi/4)-(x-2)) I reduced it using the identity cos2x=cos^2x - sin^2x. I came out with...
  20. E

    Help Simplifying Double Integral Question

    Simplifying help please! Hi, I was given a double integral question and I managed to do the x integration. After placing the limits I get the following: ∫{ (2y²)(√2+y²) - (2y²)(√2y²) } dy I know the integrand can be simplified but I don't have a clue. Can anyone help? :confused: Thank...
  21. Y

    How to Simplify the Derivative of sqrt(x/y) + sqrt(y/x)?

    okay I am supposed to prove the derivitive of: sqrt x/y + sqrt y/x is equal to y/x okay I am stuck where i have finally isolated y' i don't know how to reduce it further I am stuck with this at the moment (see attachment) can you please tell me the process you went through to simplify it?
  22. M

    Simplifying an Indeterminate Quotient: Help Needed

    I need to take the limit of this quotient as n goes to infinity: [2(-1)^(n+1) - 3^(n+1)] ----------------------- [2(-1)^(n) - 3^(n)] It seems to go to infinity over infinity in its current form, which, if I recall correctly, is indeterminate. It seems then that I need to simplify...
  23. A

    Solving a cubic (or rather simplifying a real root in complex form)

    The determinate of the following 3x3 matrix 1-y, 2 , 3 2 , 4-y, 5 3 , 5 , 7-y gives a cubic that simplifies to, y^3 - 12*y^2 + y + 1 = 0. Now, apparently the teacher picked random numbers for the original matrix, making the problem delve into other realms of mathematics...
  24. L

    How Do You Simplify Algebraic Fractions from Red to Blue Box?

    Apparently I've forgotten how to simplify algebraic fractions. I included the problem as a picture. http://community.webshots.com/photo/461491683/476214616XrKOZJ#" I can't figure out how they went from the red box and then to the green box and then the blue box. Obviously, I understand from...
  25. G

    Solve Math Easier: New Fundamental System

    I was just wondering if anyone has ever tried to make a new fundamental system for solving problems, ranging from Algebra to complex analysis and beyond in a more simplistic and less time consuming way?
  26. F

    Need help simplifying equation to find the laplace transform of it

    there are two loops in an electrical circuit. I've got two equations and two unknowns. here are the equations v(t) = I1*R1 + 1/c*int(I1*dt) - 1/c*int(I2*dt) - first loop 0 = LdI2/dt + R2*I2 - 1/c*int(I1*dt) + 1/c*int(I2*dt) - second loop the capacitor is in the branch between the two...
  27. V

    Simplifying Surds: Adding and Subtracting

    Ok here is my problem, I am not sure how to simplify surds with additions and subtractions in them such as ones like this: http://img212.imageshack.us/img212/474/math010iz.gif At the moment I have managed to simplify it to this: http://img212.imageshack.us/img212/2011/math026eg.gif...
  28. H

    What is the simplified form of the function 7(x^3+4x)^6(3x^2+4)?

    According to my text 7(x^3+4x)^6(3x^2+4) simplifies to: 7x^6(x^2+4)^6(3x^2+4) But it seems to me it should simplify to: 7x(x^2+4)^6(3x^2+4) What am I missing here? hk
  29. X

    : really quick simplifying radical question

    hey, just a really quick question, any help wud be great, is it possible to simplify this radical further? p = sqrt root (6/70q^2) thx in advance for help.
  30. C

    Simplifying Logarithms: log_x 32 = 5

    log_x 4 + log_x 8 =5 I simplified that to log_x 32 = 5 but I can't get my head around what to do next and it's annoying me because I feel it's going to be something simple. :smile:
  31. P

    Preform the operations and simplifying

    Hello I have to preform the operations and simplifying it. This is what i have \frac{1}{x}+\frac{1}{x-2}+\frac{3}{(x-2)^2} =\frac{3x^2-7x+8}{x(x-2)(x-2)} Is this correct?? Where do I go from here? Thanks P
  32. U

    Is 0=x \sec ^2 x-5 a Function? A Look at Plotting and Simplifying

    0=\frac{cos^2x}{x}-\frac{1}{5} \frac{1}{5}=\frac{\cos x \cos x}{x} 5=\frac{x}{\cos x \cos x} 0=x \sec ^2 x-5 is this true? when I plot this, it doesn't give me the same function
  33. F

    Another circuit diagram simplifying question (harder)

    here's the problem i want to find the net resistance. the only problem i think i have is that i don't know how to change the diagram so that the battery isn't in the middle of the circuit (i only know how to do questions where the battery is connected like a single complete path, which this...
  34. F

    Simplifying Complex Circuit Diagrams

    i want to transform the black diagram into a series and parellel circuit (as u a see that the black diagram isn't exactly series or parellel). i made the two top left resistors into one (blue circle), and i want to do the same thing for the other two in green circle. however, if i make the top...
  35. N

    Simplifying Loga Root Expression

    Simplify 1/2[Loga N - Loga (N - 1)] I get something like 1/2[Loga N / (N-1)] Loga root[ N / ( N-1 ) Loga root [ (N * ( N + 1)) / N^2 - 1 ]
  36. L

    What Values of b Satisfy the Inequality 1296(b^3) - 324(b^2) - 1008b + 108 > 0?

    I have an inequality: 1296(b^3) - 324(b^2) - 1008b + 108 > 0. I want to know for what values of b this inequality is true. Any suggestions?
  37. D

    Simplifying radicals containing polynomial fractions

    no idea how to simplify this one: sqrt [1- [(x-1)^2/(x+1)^2]] thanks dave
  38. K

    Calculus Problem with simplifying

    well ill go through the whole question up to where i am (not very far) to make sure there were no prior errors, but i can't simplfy past where i am (maybe i just can't see it) Differentiate and simplify ...(1-x)^4 f(x) = -------- ...1-4x f'(x) = [4(1-x)^3(-1)](1-4x) - (1-x)^4(-4)...
  39. S

    Simplifying with Cosine and Sine

    Simplify in terms of cosine and sine only. tan^2x - {csc^2x\over cot^2x} From here, I assume you can flip the fraction and make it {tan^2x\over sin^2x} next, i reduce it to: (sec^2x-1) - ({sec^2x -1\over 1 - cos^2x}) and anyway..im lost; i don't know where to stop and how...
  40. S

    How can I simplify this equation and see the connection between #5 and #7?

    Technically this is a calculus problem I'm working on, but I'm just having problems with the Algebra portion. If I have: (\frac{1}{x\sqrt{1+x}} - \frac{1}{x}) How can I simply this so that I can substitute in 0 for x?
  41. U

    Simplifying Radicals: Solving -125m⁻⁴n⁵ Cube Root

    I am sorry for wasting your time with elementary mathematics but I can not complete my homework. (excuse the clutter, for I do not know how to use Latex) cube root ( -125 m^-4 n^5 ) I fully simplify this to: -5n/m * cube root (n^2 / m ) The answer is incorrect, wtf am I missing?
  42. L

    Having trouble simplifying conjugate

    I am having trouble simplifying (4[(SQRT(x+2)) – (SQRT2))]/x I multiply the conjugate and I come up with 4/((SQRT(x+2)) + SQRT2) I'm not sure if I'm on the right track
  43. A

    How do I simplify radical equations with nested radicals?

    Simplify sqrt(11+sqrt72)) + sqrt(11-sqrt(72)) better picture here http://members.rogers.com/agentj/images/math.jpg I don't know where to begin for this one, but apparently my calculator says the answer is 6 :redface:
  44. B

    How can I simplify (n+3)!/(n+1)! using the property of factorials?

    How would I go about simplifying something like: (n+3)!/(n+1)! ?
  45. exequor

    Understanding the Missing Stages in Simplifying Expressions

    can someone explain to me the stages that are missing in the expression in the attached picture. i think that it has to do with identities but in the book that i got it from did not explain clearly how they went from one line to another. i will appreciate the help very much.
  46. Mk

    Can Anyone Simplify the BCS Theory of Superconductivity?

    I just don't get it, would anyone care to simplify the BCS theory for me? Please?
  47. P

    How Do You Continue Expanding and Simplifying the Dot Product (2u+v)⋅(u-2v)?

    How do you expand and simplify this one? (2u+v).(u-2v) =2u.u+2u.(-2v)+v.u+v.(-2v) Where u and v are vectors and the "." is the dot. I did some but after this I am lost, how can I continue?
  48. G

    Is there a way to simplify trig functions using specific formulae?

    I am currently learning how to simplify trig functions, but is there a way to know which formulae to use? In my textbook there are three formulae: cos^2ttheta + sin^2theta = 1 1 + tan^2theta = sec^2theta cot^2theta + 1 = cosec^2theta I am also stuck in this question: prove this...
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