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

    How do I simplify this trigonometry expression?

    Homework Statement Tan(15deg)/(1-Tan^2(15deg) In my solution manual this is what they did... 2/2 * Tan(15deg)/(1-Tan^2(15deg) = 1/2Tan(30deg) Ok first off... I noticed they multiplyed by a fraction of one (2/2) which resulted in 2*tan(15) in the numerator... ( I did...
  2. W

    Simplifying formulas with factorials (2n-1)

    How would you simplify (2n+1)! Is the same as (2n-1)! ?
  3. G

    Finding the Unknown Penguin Mass: Solving Equations with Multiple Variables

    Homework Statement The figure here shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are m1 = 13 kg, m3 = 17 kg, m4 = 22 kg, T2 = 112 N, and T4 = 224 N. Find the penguin...
  4. A

    Simplifying rational powers after completing a derivative

    I have the following function to differentiate: f(x) = x^\frac{4}{5} * (x-4)^2 My derivative is: f'(x) = x^\frac{4}{5} * 2(x-4) + (x-4)^2 * (\frac{4}{5}) * x^\frac{-1}{5} My calculator gives me: f'(x) = \frac{2(x-4) * (7x-8)}{5x^\frac{1}{5}} How does my expression simplify into...
  5. A

    Efficient Simplification of cos(sin^{-1}(9x))

    I need to simplify this expression. How do I go upon that? cos(sin^{-1}(9x))
  6. 7

    Simplifying math expression help

    I'm really not sure how to approach simplifying something such as this. Could anyone offer any advice?
  7. L

    Help simplifying an equation - , PLEASE

    Help simplifying an equation - URGENT, PLEASE! Hello folks, I'm trying to simplify the following equation: V = (a(1+a^n)-Q(1+a))/((a^n)*(1+a)) I really need to eliminate the divisor. Thanks in advance, Estêvão
  8. L

    Expanding and Simplifying Two Sets of Double Brackets (most likely really easy)

    Homework Statement Expand and Simplify 6(x-1)(x+2)-(1-x)(2+x) Homework Equations The answer in the book is 7x^2+7x-14 The Attempt at a Solution I've tried several ways, but all of them give the wrong answer. I'm not sure what to do with the negative in the middle. I know it...
  9. Shackleford

    Simplifying Expressions: Understanding 1/4k

    I'm not seeing how you get 1/4k = (1/2)k(1/2)k(1/2) I understand why you can factor out the (1/2). It's in each term of the sum. http://i111.photobucket.com/albums/n149/camarolt4z28/Untitled-2.png?t=1297227186 I haven't really looked at this crap in four years.
  10. M

    Linear Algebra, simplifying large matrices

    Homework Statement Find all solutions using Gauss-Jordan elimination: [ 0 0 0 1 2 -1 l 2 1 2 0 0 1 -1 l 0 1 2 2 0 -1 1 l 2] Homework Equations Switching rows, able to scale any row able to add non zero multiple to row The Attempt at a Solution What I did was...
  11. G

    Simplifying boolean expression

    Homework Statement I'm trying to understand an example in the book. They're simplifying the following expression: S=z \oplus (x \oplus y) =z'(xy'+x'y)+z(xy'+x'y)' I don't get how they go to this from the above =z'(xy'+x'y)+z(xy+x'y') =xy'z'+x'yz'+xyz+x'y'z Homework Equations DeMorgan law...
  12. R

    Help simplifying this summation

    Homework Statement \sum\limits_{j=0}^\infty \binom{j}{r} p^r (1-p)^{j-r} (1-q) q^j where p and q are between 0 and 1, and r is a positive integer Homework Equations The Attempt at a Solution since \binom{j}{r}=\binom{j}{j-r} we can rewrite the summation as (1-q)\sum\limits_{j=0}^\infty...
  13. P

    How to Simplify and Find Power in a Circuit?

    Homework Statement [PLAIN]http://img802.imageshack.us/img802/9172/qns33.png Simplifying the circuit? Also find the power dissipated in the circuit? Homework Equations P=I^2R V=IR The Attempt at a Solution I tired to simply the diagonal by making it parallel with...
  14. A

    Simplifying a geometric series with an infinity summation bound

    Homework Statement I am solving some convolutions, and i have come to these solutions. a)\sum2k, summing from -\infty to -1 b)\sum2k, summing from -\infty to n , where n <=-1Homework Equations the geometric series summation formula, from 0 to N \sumak = 1-aN+1 / 1-a , summing from 0 to N The...
  15. B

    Simplifying Quantum Mechanics with Dirac Notation

    Homework Statement trying to simplify (using dirac notation) QM: <E| (QH - HQ) |E> using H|E> = E|E> Homework Equations The Attempt at a Solution the textbook says that it simplifies to (E-E) <E|Q|E> = 0 but i can't see how :S
  16. N

    How to Simplify the Derivative of a Cosine-Sine Product

    Homework Statement Find the derivative: F(x)= cos (x)* sin(5x^2 +7) Homework Equations The Attempt at a Solution I used the power rule and the chain rule and wound up with this: but i don't know how to simplify it... = -sin(x)*sin(5x^2+7)+(10x)*(cos x)*(cos (5x^2+7)
  17. C

    Simplifying √(3+2√(2)): Find the Integer and Irrational

    Homework Statement √(3+2√(2)) can be simplified into a fairly simple sum of two number: one is an integer and one is an irrational number . Find them and show you are correct by squaring both sides of the "equation" Homework Equations The Attempt at a Solution
  18. Q

    Need help simplifying expression

    The Attempt at a Solution I'm attempting to solve a question with a few unknowns, and I managed to get it to the following form: tanx(1-cosx)=0.25 I just can't seem to simplify it further and thus solve.. Any ideas?
  19. M

    Simplifying f=uRuR in D3: A Beginner's Guide

    Homework Statement In D3, simplify f = u R u R Homework Equations The Attempt at a Solution u(Ru)R=(uR)uR u(uR^2)R=(uR)u2 uR=R I am doing this for independent study, and the website I am using says the solution is 1=R I just got started on dihedral...
  20. W

    Simplifying Fractions: Tips and Techniques for Combining Fractions

    Hey, I need some help with simplifying these fractions. (3x-6)/(x^2-3x+2) - (x^2-1)/(x^2-4x+4) Im not quite sure what to do with the denominators. Am I supposed to change them to special forms? What is the process of making these a single fraction? Thanks in advance.
  21. M

    Simplifying boolean expressions

    i have two boolean expressions that I'm simply stuck on. (any variable with the ' mark means NOT). i used http://hopper.unco.edu/KARNAUGH1.1/Function.html" to check my answers for both..apparently they are both supposed to equal 1. i have tried solving the expressions multiple times, and each...
  22. J

    Problem simplifying v*dv/dt to get d/dt(V^2/2)

    Homework Statement we know dV/dt = a from the definition of acceleration multiplying by sides by V, velocity yields V dV/dt = aV Left side can be reduced to d/dt(V^2/2) so to be more clear, just looking at the left side V dV/dt = d/dt( V^2/2) I want to know what calculus topic...
  23. S

    Simplifying nested summations for a function

    Homework Statement Consider the following code fragment. for i=1 to n/2 do for j=i to n-i do for k=1 to j do output ‘‘foobar’’ Assume n is even. Let T(n) denote the number of times ‘foobar’ is printed as a function of n. (a) Express T(n) as three nested summations. (b) Simplify the...
  24. T

    Simplifying Trigonometric expressions

    Homework Statement Hey guys, having a trig brain fart here, can you point me in the direction of simplifying: \frac{6cos\vartheta}{2sin\vartheta-3cos\vartheta} or is it as simplified as it gets? \ Homework Equations Thought about using double angle formula The Attempt at a...
  25. D

    Simplifying Exponents: Tips and Tricks for Solving Complex Equations

    Homework Statement Attached is the problem, I don't like the math editor used on this site, so its a pdf. The only real problem I have is how to is how do you square a problem like square root of x over 2x?
  26. S

    Simplifying Logarithmic Expressions with Square Roots and Coefficients

    Homework Statement How do i simplify the ln(3/sqrt(5)) + 2 into the ln(3)- (1/2)ln(5) + 2 Homework Equations The Attempt at a Solution
  27. P

    Simplifying Expressions: 1/2 - 4/d

    Homework Statement Express in simplest form. 1/2 – 4/d divide by 1/d + 3/2d Homework Equations LCF The Attempt at a Solution I know the LCD is 2d. But would you multiply this to the equation
  28. G

    Some Help Simplifying Please Easy Forgot how to

    Homework Statement Ok so I'm trying to simplify this (x-5)/(x+1) which is apparently equal to 1 - 6/(x+1) but I don't see how there equal like I don't know what was done to this (x-5)/(x+1) to get that 1 - 6/(x+1). I feel kind of dumb as fel as if I should know this but I can't make...
  29. L

    Simplifying Lagrangian's Equations (Classial Dynamics)

    Homework Statement http://img96.imageshack.us/img96/9288/lagrangiansimplifcation.jpg [PLAIN]"[URL If you require more info in the derivation, it's on page 1: http://www.ph.qmul.ac.uk/~phy304/Homework/HW3sol.pdf Homework Equations L = T - V The Attempt at a Solution I...
  30. X

    Simplifying Boolean Expressions: Minterms & Sum of Products

    Homework Statement F= A'C+A'B+AB'C+BC Express the function as sum of minterms, and find the ninimal sum of products. Homework Equations The Attempt at a Solution How do I do this? I really don't know. I know it is easy though. Any help is appreciated!
  31. J

    Simplifying an Expression using Logarithms

    Ok, I have an Expression which is attached and it needs simplifying. What I have done is got 12logx But I don't think this is correct. Another possible place I got to is logx4/logx1/3 Which one is it?
  32. J

    Simplifying Expression using Logarithms

    Simplify the attached expression using any relevant logarithmic rules I haven't really done much with logarithms, so i didnt know where to start?
  33. W

    What is the equation for level curves in an elliptical shape?

    Homework Statement Describe the shape of each level curve for the following function: z= (5x^2+y^2)^.5-2x Homework Equations I would like to prove that the curves are elliptical by setting z as a constnat and algebraically putting the equation in standard for for an ellipse...
  34. L

    Finding Percent Error in S.R. Problem: Simplifying Expression with 6.7x10^(-16)

    I'm finding the percent error in a S.R. problem and getting a really small number. How can I find the exact percentage? This is the result that needs to be simplified: 6.7x10^(-16) / (1 + 6.7x10^(-16)) If I do an order of magnitude approximation, then the bottom becomes 1, but that will...
  35. R

    Solving for x in a Simplified Problem: (14-2x)/π = (196+4x)/(π2)

    -This is what I need to simplify. π((14-2x)/π)2 -This is what I got. (196+4x)/(π2) -This is the solution. (196-56x+4x2)/π Really unsure of where that -56x is coming from in the solution.
  36. F

    Simplifying sin(α+45): A Challenge!

    Homework Statement sin(α+45) = ? The Attempt at a Solution Dunno. Really dont. Need it in simplification.
  37. T

    Help with simplifying derivatives when sketching graphs

    Homework Statement Sketch the graph of x ^ (4/9) * e ^ (-x) Homework Equations None. The Attempt at a Solution My y' = -x ^ (4/9) * e ^ (-x) ( 1 - 4/9x ^ 1/9). I keep on getting a reaaally long derivative for y'' and thus cannot place it on my sign table. Could someone please...
  38. R

    Simplifying Boolean Expressions using the Laws of Boolean Algebra

    EDIT: My apologies if I started this thread in the wrong forum! Homework Statement Z = P.Q.R + P.R Where . = AND + = OR ~ = NOTHomework Equations (Commutative Law) A+B = B+A, A.B = B.A (Associate Law) (A+B)+C = A+(B+C), (A.B).C = A.(B.C) (Distributive Law) A(B+C) = AB+AC...
  39. J

    Simplifying a solution that has complex eigenvalues

    Homework Statement I'll give an example. Ex: x'=[-1/2 1; -1 -1/2]x. Homework Equations Assume a solution of the form x=$ert for these type of problems. Euler's formula: ebi = cosb + isinb The Attempt at a Solution |A-rI|=0 ---> r= -1/2 +/- i ---> x= e-t/2 ( C1(cost...
  40. B

    How Do You Simplify the Equation Involving Exponential Terms and Limits?

    1. ex*eh+e-x*e-h -ex -e-x/ 2h 2. This should simplify to (e^x-e^-x)/2. This is lim (h--->0) so in the end the h should become 0 (I think!) 3. I have absolutely no idea what to do!
  41. T

    Simplifying Logarithmic Expressions to \log_x{y}

    Homework Statement Simplify (\log_a{b})(\log_b{c})(\log_c{d}) in terms of \log_x{y} Homework Equations The Attempt at a Solution well , the furthest i can reach is \frac{\log_xd}{\log_xa} , how do i express in terms of \log_x{y}
  42. C

    Simplifying Sin[3θ] to Simplifying Trigonometric Expressions

    Homework Statement Simplify Sin[3θ] (no double angles) Homework Equations Sin[3θ]=Sin[θ+2θ] Sin[α + β] = Sin[α] Cos[β] + Cos[α] Sin[β] Sin[3θ] = 3sinθ - 4sin^3 θ Cos2θ = 1-2Sin^2θ The Attempt at a Solution Sin[3θ] = sin[θ+2θ] Sin[θ+2θ] = Sinθ Cos2θ + Cosθ Sin2θ Sinθ Cos2θ + Cosθ Sin2θ =...
  43. C

    Simplify Limit Help: (a) (n + a)(n + b) and (b) n!/n^2 | Positive Numbers"

    Homework Statement (a) lim_{n\rightarrow\infty} (\sqrt{(n + a)(n + b)} - n) where a, b > 0 (b)lim _{n\rightarrow\infty} (n!)1/n2 Homework Equations The Attempt at a Solution I tried to use Limit theorems but nothing happened.
  44. S

    Simplifying and then expressing complex numbers in cartesian form

    Homework Statement (2 CIS (pi/6))*(3 CIS (pi/12)) Homework Equations Also what is CIS? I believe it's Cos+i*sin but how do you use it? The Attempt at a Solution i simplified it to 6 CIS (pi/12) How do i turn it into cartesian?
  45. stripes

    Derivative of a function, then simplifying it

    Hi all...not sure if this should be here, perhaps in the precalc section =S but here goes anyways... 1. So the question asks to find the derivative of y = sqrt(arctan x), then to simplify wherever possible...my issue is not with the differentiation, but rather with the simplifying...oh and we...
  46. G

    Expanding and simplifying brackets

    Could someone please expain where I went wrong with this? expand and simplify the following: 1/8(6x - 12y) + 1/2(3x + 2y) I expanded the brackets like this: 0.75x - 1.5y + 1.5x + y and simplified like this: 2.25x - 0.5y But the right answer is: 2.25x - 2.5y
  47. G

    How do I simplify these expressions in my maths test?

    I got the following 2 questions in a recent maths test. Can anyone please explain the correct way to simplify these expressions? 4u to the power of 3 v to the power of 6 / 8u to the power of 2 v to the power of 3 3x to the power of 6 y to the power of 5 z to the power of 3 / 9x to the...
  48. C

    Simplifying an Expression: (2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3)

    Homework Statement I have a quiz tomorrow and i know a problem like this is going to be on it and i need to figure out the process Homework Equations the expression is: (2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3) The Attempt at a Solution i know the final answer(3x+2)^3(36x^2-37x+6)...
  49. M

    Simplifying difference quotient.

    Homework Statement See attachment! 2. The attempt at a solution I multiplied by the LCD of (x+h-1)(x-1) and got 6h/h(x+h-1)(x-1) . I then got 6h/h^2+2hx-2h . However, my answer seems to be wrong. What is my error?
  50. R

    Help simplifying a solution to a differential equation

    So I'm in the process of solving the following differential equation: \frac{dy}{dx}=2y^2 +xy^2 with initial condition y(0)=1 I worked it out until I got to the following equation: y^2 +y =x^2 -4 So now my problem is that I can't isolate y as a function of x in order to move on...
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