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.

View More On Wikipedia.org
Recent contents Top users
  1. B

    Simplify equation with negative exponents

    Homework Statement Simplify (x-2 - y-2) / (x-1 + y-1) Homework Equations The Attempt at a Solution So I just factorised the numerator into x-1 - y-1 and x-1 + y-1. And was left with x-1 - y-1 as an answer. The textbook gives (y - x) / (xy) as the answer (no working shown). So...
  2. N

    How to simplify following trignometric expression

    Homework Statement - 1/[cosx(cos(x-90))] The Attempt at a Solution = - 1/[cosx(-cos(90-x))] //so first I take the negative sign out from (x-90) to make it (90-x) = +1/[cosx(cos(90-x))] // negative sign from outside the cos and outside the entire fraction combine to...
  3. T

    Simplify the function and find the derivative

    Homework Statement Simplify the function and find the derivative; (Attached) Homework Equations I've had a go at the question (see below) trying to use trigonometric identities. The Attempt at a Solution I somehow arrived at 1/7 - 3/2sec^2, but I'm not sure that this is correct!
  4. C

    Factor and simplify (PREcalculus)

    Hello, First time poster here. After lurking about the forums for a couple days I feel as if this question may be overly rudimentary; regardless, I'm stuck. This is not a homework assignment but preparation for an upcoming precalculus class. (x^2-4)((x^2+3)^1/2) - ((x^2-4)^2)...
  5. T

    Using trig identity to simplify?

    I have this equation 1/(r^2+l^2)^(3/2) and I need to integrate it quickly. My first thought is using this integral formula 1/(1+x^2)^(3/2)=x/sqrt(1+x^2) but how exactly do I get my equation into that form?
  6. Petrus

    MHB Solving Limits: How to Simplify \lim_{x->0}

    Hello MHB, I am currently working with a old exam and it says.\lim_{x->0}\frac{3-e^{x^2}-2\cos(x)}{x^2\sin^2(x)} and this is how far I got but struggle on the simplify Regards, |\pi\rangle
  7. Albert1

    MHB How Do I Simplify Fractions Using Surds in the Summation Formula?

    $ a_n=(\dfrac{1}{\sqrt n+\sqrt {n-1}})\times(\dfrac{1}{\sqrt {n+1}+\sqrt {n-1}})\times(\dfrac{1}{\sqrt {n+1}+\sqrt n}) $ $S_n=a_1+a_2+a_3+-------+a_n$ $find:\,\, S_{2012}$
  8. Albert1

    MHB Simplify Multiplication of Fractions

    $\dfrac{3}{3\times 4}+\dfrac{4}{3\times 4\times 5}+\dfrac{5}{3\times 4\times 5\times 6}+\cdots+\dfrac {99}{3\times 4\times 5\times 6\times \cdots\times 99\times 100}$
  9. Petrus

    MHB MHB Simplify Fraction: 196707/250971

    Hello MHB, Simplify as far as possible without any calculator \frac{196707}{250971} Hint: Regards,
  10. F

    Finding the First Derivative of a Complicated Expression

    1. Simplify the derivative 2. y = \frac{\sqrt{1-x^{2}}}{x} 3. f'(x) = \frac{x*\frac{-2x}{2\sqrt{1-x^{2}}}-\sqrt{1-x^{2}}}{x^{2}}=\frac{-x^{2}-\sqrt{1-x^{2}}}{x^{2}\sqrt{1-x^{2}}} I just don't know how to simplify this further.
  11. anemone

    MHB How to Simplify Nested Radicals?

    Simplify \sqrt{1+a^2+\sqrt{1+a^2+a^4}}.
  12. P

    Simplify Trigonometric Expression

    Homework Statement Simplify the following trigonometric expression: cscθtanθsecθ Homework Equations tanθ = sinθ/cosθ sin^2θ + cos^2θ = 1 cscθ = 1/sinθ secθ = 1/cosθ cotθ = 1/tanθ The Attempt at a Solution I just want to double check my solution. cscθtanθsecθ = 1/sinθ x...
  13. L

    How does this simplify to give this answer?

    1. I am on the very last step of this problem, but I don't see how this equation simplifies from 2ln|(2/√(2)) + 1| - 2ln|1 + 0| to 2ln|√(2) + 1|.2. I thought that since ln|1| = 0, then 2x0=0. And then the answer would be: 2ln|2/√(2) +1|. I don't see how the 2 in the (2/√(2)) was canceled out...
  14. Y

    Electric Dipole as x l, how do I simplify this correctly?

    Electric Dipole as x >> l, how do I simplify this correctly? Homework Statement ELECTRIC DIPOLE : 15.0 POINTS A charge −Q is located at x=−l/2 and a charge +Q is located at x=l/2. Thus the separation between the two charges is l. The total electric field on the x-axis can be written...
  15. W

    Change frame of reference to simplify acceleration calculation?

    I'm working problem from the upper division classical mechanics course on MIT OCW. No solutions are available. This is form the first P-set, question 4. Homework Statement A particle moves in a two dimensional orbit defined by x = A(2αt-sin(αt)) y = A(1-cos(αt)) Find the tangential...
  16. P

    How do you know if you can simplify boolean algebra more?

    How do you know if you can can or can not simplify a boolean algebra expression further?
  17. Fredrik

    Mathematica Simplify in Mathematica: Reals & k > 0

    Why do I keep getting output that looks like this when I use Mathematica? $$\frac{2 b k |a+b v| (2 a+b v+b v \cos (t)) \sin ^2\left(\frac{t}{2}\right)}{(a+b v)^2 \sqrt{\left(\frac{1}{\sqrt{4 a^2 k^2 \sin ^4\left(\frac{t}{2}\right)+d^2 (a+b v)^2 \sin ^2(t)}}\right)^* \sqrt{4 a^2 k^2 \sin...
  18. ElijahRockers

    How can I simplify this Convolution through a limit change?

    Homework Statement Compute the convolution y[n] = x[n] * h[n] if discrete signals: x[n] = \alpha^nu[n] h[n] = \beta^nu[n] Where \alpha \neq \beta. Homework Equations y[n] = \sum_{k=-\infty}^{\infty} h[n-k]x[k] The Attempt at a Solution I plugged the two equations into...
  19. Y

    Help simplify the equation for ellipse

    This is really a simplification of an equation. It is just very long and complex and I need advice. For ellipse center at the origin with tilt angle \tau, the distance from origin to the ellipse is \rho(\varsigma). It is given: \varsigma\;=\;\frac...
  20. G

    Is it possible to simplify equations like the following

    These are just some example equations: 60^x-36^x or 30^x-25^x where the x is raised to the power. How can (if possible) I simplify these equations?
  21. T

    How to simplify this equation?

    Homework Statement \frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } Homework Equations The Attempt at a Solution Wolfram Alpha somehow managed to simplify the equation to just simply 100. Here's my attempt: \frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } \\ =\frac...
  22. L

    How do I simplify 4x4 det before solving? I am doing somethingwrong

    Homework Statement solve the det 3 1 1 0 -4 5 0 -1 0 7 2 8 2 -1 0 3 Homework Equations The Attempt at a Solution I am trying to solve it and get a different answer each time so I am doing something I shouldn't obviously. Ok I am adding rows to other rows...
  23. H

    Any way to simplify this fraction without a calculator?

    Homework Statement I was looking at a solution for a practise question and in the last step they simplified -[(0.02)^4]/[4(0.98)^4] to 1/(4*49^4) How do you do this without a calculator?
  24. P

    MHB Simplifying [(x2 - 4)(x2 + 3)1/2] - [(x2 - 4)2(x2 + 3)3/2]

    [(x2 - 4)(x2 + 3)1/2] - [(x2 - 4)2(x2 + 3)3/2] I understand the first half which comes out to... (x-2)(x+2)(x2 + 3)1/2 I have know idea how to start the second half. Thanks in advance.
  25. A

    How to simplify this boolean algebra (logic)

    This is related to logic circuits. How do I simplify this boolean algebra(logic) into its simplest expression? h = (abc + abd + acd + bcd)’ My first attempt would be to change it into product-of-sum. h = (abc)'(abd)'(acd)'(bcd)' and then what next?
  26. P

    MHB Simplify Complex Rational Expression

    (3/x-2) - (4/x+2) / (7/x2-4) I got it down to... -x+14/7 but the book is showing x-14/7
  27. D

    Help to simplify a difficult equation

    Hello, Could someone please help me simplify the equation: \frac{-1}{(c1+c2)} \cdot ln [(m1-m2)g-(c1+c2)v] = \frac{t}{(m1+m2)} - \frac{1}{(c1+c2)} \cdot ln[(m1-m2)g] (where c1, c2, m1, m2, g, are constants) so as to get: v = \frac{(m1-m2)g}{(c1+c2)} \cdot [ 1 - exp[\frac{-(c1+c2)t...
  28. K

    Simplify the expression (need hint)

    Well, this is a task for those who prepares to enter a university. According to the textbook this task is among the easiest ones. I managed to simplify this part of the (4b^4 + 4ab^2+a^2):(2b^2 + a) = 2b^2 + a. Well, I can't proceed any further. Could you give me a hint?
  29. T

    When do you not simplify in math?

    I have been studying algebra, and a good portion seems to be, getting really long equations to simple ones. My question is is there ever a time in any math where you wouldn't want to simplify? Assuming it isn't just the teacher not caring if you do.
  30. M

    How do I simplify this inequality

    Homework Statement So I'm following along with my physics book and I get to the point where Mg * abs(sin(θ) - cos(θ)) <= μMg * (cos(θ) + sin(θ) Next they say: If tan(θ) >= 1 then sin(θ) - cos(θ) <= μ(cos(θ) + sin(θ)) => tan(θ) <= (1+μ) / (1-μ) Homework Equations The Attempt at a...
  31. S

    Simplify Expression: f(x) 1/x^2 -4, x+1 - x^2/x+2

    Homework Statement simplify the expression: f(x) = x+1 - x^2/x+2, 1/x^2 -4 Homework Equations leaving the answer as a quadratic polynomial. 1. = 3x^2 + 4x + 4 2. = x^2-4x + 4 3. x^2 -4x - 4 4. 3x^2 +4x - 4 5. x^2 +4x - 4 6. 3x^2 -4x -4 The...
  32. nukeman

    Simple difference quotient question. Function -> simplify answer

    Simple difference quotient question. Function --> simplify answer Homework Statement I just don't understand this question! Here, I will take a picture of it. Can someone please explain how I answer these? Or even show me a website that shows how to do these? Its not in my review book...
  33. N

    Help spotting trig identities to simplify integration

    Hello, Say I'm working with ∫ sqrt(1-cos(t)) dt I end up with a substitution of u = 1-cos(t) and dt = du/sin(t) sub back in: ∫ sqrt(u) / sin(t) du Still got a t in there ... hrrmmm So I go to wolfram alpha for some inspiration and 'show steps'...
  34. L

    How to Simplify a Rational Function

    Homework Statement u^2 --------------- u^2 - 4 Homework Equations I am told that this is equal to 1+ 4/u^2 - 4The Attempt at a Solution No clue how these two are related. Factor out a u^2/u^2? But that alters the denominator. My next that is partial fraction decomp. Am...
  35. W

    Simplifying Series: 2*4*6*8*(2n)/2*4*6*8...(2n+2)

    Homework Statement This is a sub problem, the whole problem is find interval of convergence and radius of convergence but the thing I am having trouble with is how to simplify this simplify the series 2*4*6*8*(2n)/2*4*6*8...(2n+2) Homework Equations The Attempt at a Solution...
  36. S

    How to Simplify and Find Derivative with Complex Fractions?

    question is... (ln(2x+1/(1-x)-4x+x/(1-x)+2x))/2 I start by simplifying and then finding the derivative...correct?
  37. H

    MHB How to simplify algebraic expression

    \frac{1}{(\frac{x - 3}{x - 2})^{\frac{1}{2}}} \cdot \frac{1}{2}(\frac{x - 3}{x - 2})^{-\frac{1}{2}} \cdot \frac{1}{(x - 2)^{2}} \frac{1}{(\frac{x - 3}{x - 2})^{\frac{1}{2}}} \cdot \frac{1}{2}(\frac{x - 3}{x - 2})^{-\frac{1}{2}} \cdot \frac{1}{(x - 2)^{2}} \\ \frac{1}{(\frac{x - 3}{x -...
  38. K

    Simplify this boolean expression

    Homework Statement ~AB+AB~c+ABC Homework Equations AB+A~B=A [b]3. The attempt at solution ~AB+A A+B
  39. D

    Simplify Condition for Chord Length Equals Angle?

    Consider the following: On a circle of radius 1, two points are marked: P1 and P2. Two lines are drawn from the center of the circle: one from the center to P1, the other from the center to P2. The angle between these two lines is \theta. One more line is drawn: from P1 directly...
  40. E

    How can the expression (a^n+b^n)/(a+b) be simplified?

    Hi I was wondering if there is any way to simplify this expression or if it's already in its simplest form. Thank you in advance: (a^n+b^n)/(a+b)
  41. T

    Rational functions w/ common factors don't simplify?

    Say we have a rational function P(x)=(x^2-3x-4)/(x-4)=[(x+1)(x-4)]/(x-4) I'm a little confused as to why the (x-4) doesn't cancel out. It graphs the same as y=x+1 for x≠4. I feel like I'm missing something from the order of operations.
  42. W

    Rewriting f(x) to Simplify an Integral Problem

    Homework Statement ∫1/((√x)+x))dx Homework Equations The Attempt at a Solution I understand the calculus but not the algebra, it's been a while. How can I write f(x) differently to make the problem seem easier?
  43. B

    Simplify derivative after using product and chain rule

    Homework Statement (x^{2}-x^{-1}+1)(x^{3}+2x-6)^{7} Homework Equations Chain Rule & Power RuleThe Attempt at a Solution (x^{3}+2x-6)^{6}[(x^{3}+2x-6)(2x+x^{-2})+7(3x^{2}+2)(x^{2}-x^{-1}+1)] This is the farthest I've gotten but when I do additional computation I do not arrive at the correct...
  44. T

    How can I simplify this?

    Homework Statement I'm trying to figure out the interval of convergence of the serie: \Sigma^{\infty}_{n=2} \frac{(-1)^{n}x^{n/2}}{nln(n)} Homework Equations The Attempt at a Solution The book states that the serie isn't a power serie, but a substitution can be used to...
  45. T

    How can I simplify e^(2n ln sin(pi/3))?

    Homework Statement Simplify e^(2n ln sin(pi/3)) Homework Equations The Attempt at a Solution I know that I can simplify to the form e^ln sin(π/3)^2n but I'm stuck there. I can't see how I could end up with the answer (3/4)^n, which is supposed to be the right answer.
  46. H

    Simplify F(s) = X1(m1 s^2 + k) - KX2

    hii guys i have a problem on simplifying this F(s) = X1(m1 s^2 + k) - KX2 0 = X2(m1 s^2 + k) - kx1 take x1 to have value x1= X2(m1 s^2 + k)/k F(s) = X2(m1 s^2 + k)/k . (m1 s^2 + k) - kX2 X2 [(m1 s^2 + k)^2 -k / k] now we cover m1 and k by 1 because in the question they have...
  47. K

    How to simplify this fraction?

    Homework Statement I want the simplify the following equation Homework Equations \frac{x}{{p}^{2}}+\frac{n-x}{{(1-p)}^{2}}, where p=\frac{x}{n}The Attempt at a Solution I got this \frac{{n}^{2}}{x}-\frac{{n}^{2}}{n-x}, I don't think this is the right answer.
  48. N

    Use trig identities to simplify an expression (has sins and cosines)

    Homework Statement Use fundamental identities to simplify the expression: (sinx)^2 - (cosx)^2 ____________________ (sinx)^2 - (sinx cosx)*note: it's a numerator and denominator. The underscore line is the fraction line. *note: The answer in the back of the book is "1 + cotx" but I would...
  49. Z

    Simplifying Trig Expressions: Cos(6θ)

    Homework Statement Simplify the expression Cos(6θ) Simplify means - the angle for all trigonometric functions in your answer is to be only θ. Simplify in terms of sines and cosines Simplify in terms of cosines only Simplify in terms of sines only Homework Equations Basic Trig Identities...
  50. N

    Simplify Equations: x - 3y + (1 + ln3) = 0 | Step-by-Step Solution

    Homework Statement y - 1 / 3 = 1 / 3 (x - ln(1/3)) The Attempt at a Solution y - 1 / 3 = 1 / 3 (x - ln(1/3)) 0 = 1 /3 x - 1/3 ln(1 / 3) + 1 / 3 - y 0 = x - ln(1 / 3) + 1 - 3y I don't see any problem with it. Text book says it's wrong. >_< The answer is = x - 3y + (1 +...
Back
Top