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. FlowiwGhar

    Physics problem - Salmon jumping waterfall

    m * g * h + (1/2) * m * v² = m * g * y Simplifying the equation: g * h + (1/2) * v² = g * y Substituting the values: g * 0.614 + (1/2) * v² = g * 2.73 * sin(26.7°) Now, let's solve for v: (1/2) * v² = g * 2.73 * sin(26.7°) - g * 0.614 v² = 2 * (g * 2.73 * sin(26.7°) - g * 0.614) v = √(2...
  2. M

    Simplifying this complicated fraction

    How did they get y^7 in the bottom fraction? I got their answer except I had y^6. Would some please be able to help? Many thanks!
  3. homeworkhelpls

    Help simplifying this algebraic expression please

    14) here i tried 3x^3 + 3/8x^3 to to get 27/8x^3 but the answer is 3/2 x^3, why? 15) here i did 9x^3/2 - 1/x^3/2 to get 9x^9/4 - 1/x^3/2 but that's not in the right form, how do i do it correctly?
  4. T

    I Simplify Tricky Equation for Purely Imaginary C with Complex Constants

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  5. A

    A Simplifying a double summation

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  6. T

    A Help with simplifying an integral

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  7. hackedagainanda

    Quick question about simplifying radical expressions

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  8. p1ndol

    I Trouble simplifying the Lagrangian

    Hello, I have posted a similar thread on this question before, but I'd like to get some help to simplify the answers I've got so far in order to match the solutions provided. If anyone could help me, I would really appreciate it. Since (c) is quite similar to (b), I'll leave here what I've done...
  9. B

    I Is there a way to simplify this integral involving an exponential function?

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  10. B

    MHB Help Needed: Solving x and Simplifying Equations

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  11. C

    I Simplifying a nested radical that includes a complex number

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  12. L

    MHB Simplifying lagrange interpolation polynomial

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  13. L

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  14. M

    MHB Expanding and simplifying brackets

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  15. L

    I Simplifying limit with Stirling approximation

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  16. J

    Engineering Simplifying a series / parallel circuit and calculating unknown values

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  17. JD_PM

    I Simplifying an expression given (on-shell & off-shell) conditions

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  18. S

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  19. batclocks

    Simplifying a two-particle system to a one-body problem

    The first part is actually fine. You just note that since r=r1+r2 that means r1=r+r2 and r2=r1-r and you substitute that into the center of mass, R, and simplify to get r1=R+(μ/m1)r, and r2=R-(μ/m2)r But the next part is where I'm very confused. The general idea is that you want to prove ∇1 =...
  20. T

    Simplifying a matrix algebra equation (revised)

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  21. J

    I Simplifying a matrix into an equation

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  22. U

    Simplifying fractional indices

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  23. A

    Mastering Trig Identities: Simplifying a Trig Expression

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  24. F

    Simplifying integral question....

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  25. S

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  26. R

    MHB Simplifying f(a+h)=-5(a+h)^2+2(a+h)-1

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  27. Eclair_de_XII

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  28. Cheesycheese213

    How to find the square root of a square root?

    Homework Statement Simplify √(53 - 8√15) Homework Equations Numbers can be represented as √a - √b The Attempt at a Solution I had tried to make in an equation where the 2 expressions were equal, but after squaring both sides, I didn’t really know what to do. I had also tried to use something...
  29. Mr Davis 97

    I Simplifying this absolute value

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  30. I

    Intuition about simplifying this expression

    Homework Statement I was solving a problem and came to a part where I was dealing with the expression, 1 - e-t -------- 1 - et It turns out that this can be simplified to -e-t but I had no idea from simply looking at the first expression that it could be simplified, and I tried to continue...
  31. opus

    Help Simplifying a Trig Expression

    Homework Statement Simplify: $$sin^2\left(x\right)+sin^2\left(x\right)tan^2\left(x\right)$$ Homework Equations All trigonometric identities. The Attempt at a Solution (i) ##sin^2\left(x\right)+sin^2\left(x\right)tan^2\left(x\right)## (ii)...
  32. The W

    Simplifying Electrical Mathematics in Certain Scenario

    When I was in school for Biomedical Engineering, while playing with numbers I noticed a pattern while calculating an equation, so I tested it. This is for relatively simple equations but maybe there is a way to incorporate it at a higher level. I would imagine while crunching numbers there may...
  33. T

    Simplifying the Natural Convection Heat Transfer Correlation

    Homework Statement An appropriate correlation for heat transfer by natural convection from a horizontal pipe to the atmosphere is Nu=0.53Gr^0.25 Pr^0.25 Where, Gr= (αp^2 d^3 (T_1-T_f )g)/μ^2 And Pr⁡〖= (C_p μ)/k〗 Show the above correlation can be simplified to h...
  34. RoboNerd

    I Question about simplifying Sigma notation

    Hello everyone! I have this expression which I have to simplify: ∑i=1log(n) 1(log(n) - i) And my book apparently simplifies it to being log(n). I am struggling to figure out why this is the case. Could anyone help? Thanks!
  35. J

    I Can the Double Summation be Simplified?

    Hi, I am trying to simplify a double summation and was wondering if anyone would be able to help me. The sum is $$ \sum_{i=1}^{n-1} \sum_{j=i+1}^n a_i a_j $$ Is it possible to simplify it down and maybe lose one of the sigmas? Thank you in advance :)
  36. F

    B Simplifying expressions -- What exactly does it mean to simplify an expression?

    What exactly does it mean to simplify an expression. I understand that an expression becomes more simple when you combine like terms but what other conditions are there? Is x(5x+1) more or less simple than 5x^2 +x? Do square roots need to be moved to the numerator?
  37. S

    I Help with simplifying series of hyperbolic integrals

    Hello. I have this function ## v(x) = -\sum_{i=1} x^i \sqrt{2}^{i-2} \int_{-\infty}^{\infty} m^{i-1} \cosh(m)^{-4} dm## which I can not seem to figure out how to simplify.I tried looking at some partial integration but repeated integration of ## \cosh ## gives polylogarithms which seemed to...
  38. toforfiltum

    Engineering Simplifying switching circuit literals

    Homework Statement The problem is given in the picture attached. It is a network of switches.Homework EquationsThe Attempt at a Solution I managed to simplify the expression to this: ## (S + x'(w+y) + xvz)(x'+y)(v+z') ## but I just can't find a way to simplify it to 9 literals. I've tried all...
  39. R

    B Can this equation be simplified?

    Hi, just wondering if anyone could help me simplify (if possible) the following two equations. x = sin((cos(((1-(cos(θ/2)^2))*360)/2)+1)/2*θ)*(d/2) x = cos((cos(((1-(cos(θ/2)^2))*360)/2)+1)/2*θ)*d/2)*2 My math is pretty crap, so any help would be appreciated. Thanks
  40. Drakkith

    Engineering Simplifying a Circuit Using a Y-to-Δ Transformation

    Homework Statement [/B] A.) Simplify the circuit (Figure 1) by using a Y-to-Δ transformation involving the resistors R2, R3, and R5 as shown in (Figure 2) . Determine the resistances of the equivalent Δ. B.) Determine the equivalent resistance Rab in the circuit. Hopefully these two figures...
  41. S

    Simplifying transfer function block diagram

    Homework Statement Simplify the block diagram. I uploaded a single image as it's the easiest way to do this problem. Homework Equations None at this stage. The Attempt at a Solution Please see the image.
  42. D

    Simplifying Complex Fractions, final step

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  43. Jess Karakov

    Simplifying this derivative....

    Homework Statement Evaluate the derivative of the following function: f(w)= cos(sin^(-1)2w) Homework Equations Chain Rule The Attempt at a Solution I did just as the chain rule says where F'(w)= -[2sin(sin^(-1)2w)]/[sqrt(1-4w^(2)) but the book gave the answer as F'(w)=(-4w)/sqrt(1-4w^(2))...
  44. pairofstrings

    B What is the use of simplifying a question in math?

    Hello. I have been looking into trigonometric identities that helps to simplify a question in mathematics. But the question that I have is, why do I need to simplify a question? For instance: Sin(x) * Cos(x) means Sin(2*x)/2. I have no answer that tells me why I simplify Sin(x) * Cos(x) to its...
  45. M

    I Need help understanding this step in simplifying a limit equation

    I read a paper and i can't understand how can we make the conversion (that attached in photo) i mean how i get formula (5) from previous one
  46. M

    Control systems: Simplifying block diagram

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  47. P

    MHB Simplifying an Expression: $\sqrt{3} + \sqrt{2} / \sqrt{3} - \sqrt{2}$

    \sqrt{3} + \sqrt{2} / \sqrt{3} - \sqrt{2}
  48. M

    B Simplifying roots of negative numbers

    In this Khan Academy video they say that it is ok to break the square root ##\sqrt{a\cdot b}##, with ##a, b \in \mathbb{R}##, into the product of two square roots ##\sqrt{a}\cdot \sqrt{b}##, only when: (1) both are non negative, (2) one of the two is negative and the other is possitive. I...
  49. Mr Davis 97

    B Simplifying an exponential with a square root

    I have the expression ##e^{\frac{1}{2} \log|2x-1|}##. I am tempted to just say that this is equal to ##\sqrt{2x-1}## and be done with it. However, I am not sure how to justify this, since it seems that then the domains of the two functions would be different, since the latter would be all real...
  50. Charles Henderson

    Boolean Algebra - Simplifying to two different expressions

    For the expression: (B and C) or (not B and not C) or (A and (not B) and not C) I get two different answers depending on the order I do the simplification. 1. If I factor C out of the first and third terms I get (B and C) or (A and C) or (not B and not C) 2. If I factor not B out of the...
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