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

    Did I Simplify This Trigonometric Expression Correctly?

    Homework Statement sqrt((tcost)^2+(-tsint)^2 Homework Equations The Attempt at a Solution pulled out the sin^2t+cos^2t added the two t^2 took the sqrt of t*sqrt(2)
  2. B

    Quick way to simplify (12(sqrt(2) + 17)

    Homework Statement This isn't really a problem at all. Have been working on some problems in Mary L Boas' textbook with some difficulty, but I have managed to solve the majority of the questions eventually. However, I've been stumped at how to arrive at the precise answers quoted in the book...
  3. G

    Matrix Simplification with C^2 = 0 and BC = CB

    Homework Statement let A=B+C where B and C are nxn matrices such that C^{2} = 0 and BC=CB show that for p>0, A^{p+1} = B^{p}[B+(p+1)C]I started trying to simplify both sides, (B+C)^{p+1} = B^{p+1} + B^{p}C(p+1) wanted to get rid of p so multiplied both sides by C which gives C(B+C)^{p+1}...
  4. K

    How to Simplify Radicals in the Denominator?

    Homework Statement √8/3 Homework Equations none but there can't be any radicals in the denominator The Attempt at a Solution =√8/√3=2√2/√3... what do i do now.. I can't have a radical in the denominator
  5. P

    Advanced Algebra, factor and simplify

    I am having problems understanding this. Could someone explain how to arrive at the answer for this problem . (-5/2)(x)(x+3)^(-3/2) + (5)(x+3)^(-1/2) Thank you It says to factor and simplify. Express the answer as a fraction without negative exponents.This is where I get to...
  6. T

    Simplify the following problem with exponents

    Homework Statement Simplify. Express final answers with positive exponents. ((64m^-36)(n^-15)(p^9)) ^ (2/3) Homework Equations \sqrt[3]{} ((64m^-36)(n^-15)(p^9)) ^ 2 The Attempt at a Solution ((4m^-36)(n^-15)(p^9))^2 = (16m^-36)(n^-15)(p^9) = 1/(16m^36)(n^15)(p^-9) I...
  7. Y

    Stats, to simplify the expression

    Homework Statement 10P8 Homework Equations The Attempt at a Solution 2 1,814,400 3,628,800 80
  8. R

    Ball thrown down simplify for time. HELP

    Homework Statement A student throws a ball downward at a velocity of 8.0m/s from a height of 25m. How long until it hits the ground? What is the velocity of the ball as it hits the ground. Homework Equations What is thee formula when simplifying for T(time)? The Attempt at a...
  9. A

    Strategies for Simplifying Fractions with Exponential Terms

    Fraction is: \frac{1-e^{-x}}{1-e^{x}} and it's meant to go to: -e^{-x} I can't make it look like it needs to. I tried splitting it up but that goes nowhere. What other strategies are there for simplifying fractions like this? Thanks for any help.
  10. T

    Archived How to use series expansion to simplify

    Hi, I'm new to this forum, so if there is anything wrong in this post please forgive me, I'm not sure my post will be shown correctly, so I attached a doc file. The question is A lightly damped harmonic osillator, γ<<ω0, is driven at frequency ω. 1, Find the frequency of the...
  11. R

    Simplify the following equation for n 1

    Homework Statement show \frac{1}{(n-1)^2} - \frac{1}{n^2} about= \frac{2}{n^3} n >> 1 Homework Equations The Attempt at a Solution The first thing I tried was to put the expression all into one term. so I got \frac{-n^2 + 3n - 1}{n^3 - 2n^2 + n} Unfortunately, I'm not sure where to go next...
  12. J

    Simplify and leave in positive exponent.

    Homework Statement (3xy^3)(4x^-3y^-2) Homework Equations ? The Attempt at a Solution = 12y ----- x^2
  13. R

    How to find the difference quotient and simplify the answer

    Homework Statement find the difference quotient and simply your answer. f(t)=1/t, [f(t)-f(1)]/t-1, t doesn't equal 1 Homework Equations the book says the answer is -1/t, t doesn't equal 1 The Attempt at a Solution (1/t-1)/t-1 (1/t-t/t)/t-1 (-1t/t)/t-1 -1/t-1...
  14. C

    Simplifying Logarithmic Ratios: How Do You Do It?

    how the heck do you simplify this ? (Ln (2x/y) / Ln (x/y)) = m/n HELP ME!
  15. S

    Simplifying cos(2arctan(x)): Is this the most simplified form?

    I have gotten this far: Using cos(2θ) = 1-tan2θ / 1+tan2θ From a previous question: Let θ= arctan(x): cos(2θ) = 1-tan2(arctan(x)) / 1+tan2(arctan(x)) =1-x2 / 1+x2 Where x2 cannot equal 0 or a negative number Have I done this in the right way and if so is this as far as I can...
  16. A

    How to Simplify a Fraction to Quadratic Form?

    can someone show how to simplify \frac{12x+9}{x} = x+9 so that it is in the quadratic form: x^2 -3x -9 = 0 multiplying both sides by x, subtracting both sides by 9 etc. . doesn't give me the quadratic.
  17. montoyas7940

    Simplify the following formula with Gamma functions

    \frac{\beta^\alpha \Gamma(\alpha + 1)}{\Gamma (\alpha) \beta^{\alpha+ 1}} = \frac{\alpha \Gamma (\alpha)}{ \beta \Gamma (\alpha)} = \frac{\alpha}{ \beta} This is the solution. In trying to get the middle expression out of the first I quickly end up with a mess. How should I approach this?
  18. S

    Expand & Simplify: (3x-5)^2+(x-4)^2-10(x+4)(x-1)

    Hi. I have done this question multiple times and come up with a different answer each time. Q. 1.) Expand and simplify (3x-5)^2+(x-4)^2-10(x+4)(x-1) So far I've gotten = -72x +1 = 1 - 72x And some others. Any help would be great.
  19. P

    Simplify fully: log a + log b – log b^2

    Homework Statement Simplify fully: log a + log b – log b^2 The Attempt at a Solution I don't even know where to start...
  20. M

    How to Simplify f(x)/g(x) with Common Denominators

    "simplify the expression" need answer in the following: f(x)/g(x)
  21. J

    Simplify this equation and express it as a radical

    I have to simplify this equation and express it as a radical at the end. 16x^7 / y^4 and cube root everything. I've tried expressing everything as exponents but it doesn't seem to get me to where i want to go. I attempted at factoring into two radicals with one containing a perfect...
  22. C

    Can you Simplify the Trigonometric Expression: cos 4x + cos 3x/ sin4x - sin 3x?

    cos 4x + cos 3x/ sin4x - sin 3x Please somebody check this over! The answer in the book is: cot (x/2)
  23. K

    Simplify using Boolean algebra

    Simplify the following expressions using Boolean algebra. a. AB + A(CD + CD’) b. (BC’ + A’D) (AB’ + CD’)
  24. H

    How do I simplify n(n+1)/2 + n+1?

    I can't seem to figure out how to simplify this! n(n+1)/2 + n+1 which they were able to get (n+1)(n+2)/2 by simplifying that and this n(n+1)(2n+6)/6 + (n+1)^2 and they were able to get (n+1)(n+1+1)(2(n+1)+1)/6 out of this one. Any help is greatly appreciated.
  25. P

    How Do You Simplify the Expression sec + csc / (1 + tan)?

    Homework Statement sec+csc/1+tan The Attempt at a Solution i tried simplifying it and the farthest i got was: 1/cos + 2/sin + cos/sin^2 im not sure that's even right
  26. T

    Using Trig Identities to Simplify Sin(Kx)sin(2Kx)

    Could someone tell me which trig identity this chap (in a Physics textbook) is using to turn sin(Kx)sin(2Kx) into sin^2(3Kx/2) - sin^2(Kx/2) Cheers.
  27. F

    Understanding Weigh Meters and How to Simplify Pressing Movements

    Homework Statement I want to know the principle of weigh meter and how to make a "withdraw movement" from "pressing movement by a simple way Homework Equations The Attempt at a Solution
  28. B

    Trig - can't see how to simplify

    Homework Statement Its all part of a show that question from an example paper that I'm doing. Apart from this part I have the answer. Just wondered if anyone could show me the substitution that I would have to make. Starting from (\frac{sin3\gamma}{sin\gamma})^2, and ending up with...
  29. T

    Simplify Fractions: 4x²-6x/(4x²-9)

    Homework Statement Simplify fully the following equation Homework Equations \frac{4x^{2}-6x}{4x^{2}-9} The Attempt at a Solution the 4x² cancel each other out and 3 goes into 6 and 9 so the answer is \frac{-2x}{-3} but that seems to easy for the penultinate question on a...
  30. T

    Simple boolean simplification - can i simplify it further?

    Homework Statement F(A,B,C,D) = (sum of) m (2,3,5,7,11,13) Design a two level network to implement the above sum of products: Homework Equations F(A,B,C,D) = (sum of) m (2,3,5,7,11,13) The Attempt at a Solution K-map ___Ab CD|00..01..11..10 00| 01|1...1...1 11|1...1...1 10| My...
  31. L

    Simplify and Solve Radical and Square Equations - Homework Help

    Homework Statement I need the first equation simplified, the second equation solved, and the third factored. I've been trying to solve these three forever today. Homework Equations 1) 6+√3 ÷ 2-2√3 (those are radical signs) 2) √k+9-√k=√3 (the k+9 is all under the radical sign) 3)...
  32. Gib Z

    Simplify and Solve Trig Equation

    Homework Statement Simplify and Solve the Following Trigonometric Equation Homework Equations \cos^2 x - 3\cos x - 2\sin x +2 =0 The Attempt at a Solution I've changed the expression, but it doesn't seem any better... I've got \frac{\cot x \cdot (\cos (x) -3)}{2}=1 - \csc x...
  33. M

    How to Simplify (2n-1)? Any Takes?

    Any Takes?
  34. D

    Demode cant simplify equations =(

    I was given the problem: "What minimum force is required to drag a carton of books across the floor if the force is applied at an angle of 45 degrees to the horizontal? Take the mass of the carton as 40 kg and the coefficient of friction as 0.60. Free Body Diagram (Given by physics teacher)...
  35. M

    Convert W2 / NJHz to mks and simplify

    Given: W = J/s, J = Nm, N = kgm/s2, Hz = 1/s Convert W2 / NJHz to mks and simplify. Can someone help me out with this please? Thanks.
  36. K

    Trigonometric Identities- simplify sin^4x - cos^4x

    hey just wonderin if any1 could give me a hint as to the best method to prove the following trigonometric indentity: sin^4x-cos^4x = 1 - 2cos^2x i tried the side more complicated first...but can't seem to hav any luck...other then maing it more complicated! umm the x's are meant to be...
  37. M

    Simplify Equation (2x+3)^(3/2) + (4/2x)^(3/2): Can It Be Done?

    can i put together two different things which have the same power? for eg: (2x+3)^(3/2) + (4/2x)^(3/2) can i do anything to simplify? thanks
  38. R

    Simplify Math Problem: How to Get Final Answer?

    I have a problem where I got the final answer: 1 1 - --------- - -------- (u - 1)^2 (u + 1)^2 which is correct, but the book further simplifies it to: 2(1 + u^2) - ------------- (u^2 - 1)^2 I tried and tried, but couldn't figure out how to...
  39. C

    Modeling Filters in Airflow CFD: How to Simplify and Analyze

    If you wanted to model a filter in an airflow using CFD, how would you go about it? I imagine that an exact model of a filter would be way too complex to model and take vast amounts of time to solve, so there must be some kind of simplification? I was thinking that maybe some known properties of...
  40. N

    Trying to simplify a permeability expression

    I'm just looking through some work I did a while back and trying to simplify an expression, epsilon_{0}epsilon_{r}=epsilon is there an expression for mu_{0}mu_{r}?
  41. C

    Simplify the expression assume all variables are positive?

    I have three math problems that I am unsure of how to do. could someone please help thanks. \sqrt[3]{-8x^3y^3z^3} ({4xy^-1}/{16xy^2}) \sqrt{98}+\sqrt{2}
  42. T

    Simplify Set Math Problem: A\cup (B\cup C - B\cap C) - A\cap (B\cup C - B\cap C)

    I have no formal training in set theory, and I need to simplify the following: (A\cup B - A\cap B)\cup C - (A\cup B - A\cap B)\cap C Preferably, it should somehow end up as: A\cup (B\cup C - B\cap C) - A\cap (B\cup C - B\cap C)
  43. Cyrus

    Simplify Equation for T Cosine and Delta X: Step by Step Guide

    I'm not getting this. Can someone show me how they got from this: - T cos ( \theta ) + (T + \Delta T ) cos ( \theta + \Delta \theta ) =0 to below by dividing by \Delta x \frac { d (T cos\theta)}{dx} = 0 Im just not getting it for some reason... The first term would be...
  44. L

    Simplifying the Equation: A Step-by-Step Guide for Beginners

    I have to find out how to make this simplification 2\pi \sqrt{ \frac {Ml^2+2Mr^2/5+m(l-r)^2/3} {(Ml+m(l-r)/2)g}} \approx 2\pi \sqrt{\frac{l}{g}(1+\frac{2r}{5l}-\frac{1m}{6M})}. This is for a project I have to do, but I have never done any such simplifications before. I don't know which...
  45. Pengwuino

    Mathematica Troubleshooting Mathematica's Simplify Function for Finding the Norm of a Vector

    I have a function here... r(t) ={6Sqrt[2]t, 3Exp[2t], 3Exp[-2t]} I needed to find the norm of r'[t]... yet when Mathematica tries to simplify it, it can't do it with simplify, powerexpand[simplify[]], fullsimplify... and this function IS suppose to be able to simplify. I then started...
  46. Pengwuino

    (1+x)^2/x^6 doesn't simplify?

    Ok I got an equation here... 2\sqrt {\frac{{(1 + 2t^4 )^2 }}{{t^6 }}} is the equation (sorry for misleading title but its the same concept). Now I was always under the assumption that the top square could be removed as long as you reduce the bottom to t^3 since t^3 squared is t^6 and that you...
  47. L

    Statistics looks so difficult, no way to simplify ?

    Beyond the basics (mean, variance, distributions, simple test, regression, ...) statistics looks like a huge mess -to me- . Any method has typically 10 variants and can be 'colored' in 10 flavors, not to mention technicalities like missing data handling, binary data, ... and people's names...
  48. T

    Simplify homework problem help

    hello i have to simplify this : sin(a)sin(b-c) + sin(b)sin(c-a) + sin(c)sin(a-b) I did simplify it and I got it equal to zero. But my problem is, I did too many steps in order to do that. Does anyone have a shorter way to simplify that ?? thx!
  49. R

    What is the Simplified Expression for 6n^5+15n^4+10n^3-n?

    Hi, Could someone help me to simplify this expression: 6n^5+15n^4+10n^3-n Thanks, :smile:
  50. B

    Can You Simplify the Trigonometric Expression (sin120+tan120) / (sin150+tan150)?

    (sin120+tan120) / (sin150+tan150) I tried to simplify this, but it only gets more complicated. I converted the sin120 to sin 60, the sin150 to sin30. How can I make the tan 120 simpler, the rule sinQ/cosQ=tanQ is not useful because you end up with an angle for cos which is greater than 90 and...
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