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. 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!
  2. G

    Proving the Equality of Two Complex Expressions Using Algebraic Manipulation

    Homework Statement I have to prove that the expression $$\frac{\omega C - \frac{1}{\omega L}}{\omega C - \frac{1}{\omega L} + \omega L - \frac{1}{\omega C}}$$ is equal to $$\frac{1}{3-( (\frac{\omega_r}{\omega})^2 + (\frac{\omega}{\omega_r})^2)}$$ where ##\omega_r= \frac{1}{\sqrt{LC}}##...
  3. 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?
  4. C

    Can't simplify equation into form (RLC)

    Homework Statement The answer in (algebraic form) is Homework EquationsThe Attempt at a Solution I'm not sure how to simplfy into the form required from here.
  5. T

    Engineering How can I simplify this mixed resistors circuit

    Hi I am to calculate Rab of the circuit and I have no idea on how to approach this problem. It would have been all nice and eaasy if it weren't for the vertival 30 ohm resistor. Because of this I'm in a dark spot. I will appreciate any help.
  6. T

    MHB Negative numbers with fraction problem: simplify 3/4 [ 5/6 ( -18/25 ) + 1/2 ]

    Hey guys, I am seriously confused by this problem. 3/4 [ 5/6 ( -18/25 ) + 1/2 ] I would appreciate it if someone shows me the step by step process. Thanks in advance :)
  7. R

    Integral simplification using Bessel functions

    Homework Statement I need to simplify the following integral $$f(r, \theta, z) =\frac{1}{j\lambda z} e^{jkr^2/2z} \int^{d/2}_0 \int^{2\pi}_0 \exp \left( -\frac{j2\pi r_0 r}{z\lambda} \cos \theta_0 \right) r_0 \ d\theta_0 dr_0 \tag{1}$$ Using the following integrals: $$\int^{2\pi}_0 \cos (z...
  8. 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...
  9. Daniel McKinley

    How to simplify cube root expression

    ]Homework Statement Solving the cubic equation x^3 + 6x = 20 by using formula gives (10+ sqrt(108))^1/3 - (-10 + sqrt(108))^1/3 How do you show that this comes out exactly 2? No calculators allowed.Homework EquationsThe Attempt at a Solution Tried cubing the expression and tried using the...
  10. M

    MHB How do you simplify sqrt{12x^7}?

    Simplify sqrt{12x^7} Solution: sqrt{4•3•x^6•x} 2x^3(sqrt{3x}) Is this correct? Note 1: According to wolfram, the answer is 2sqrt{3}•sqrt{x^7} Note 2: The term x^3 in my answer comes from the breakdown of sqrt{x^7} as sqrt{x^6•x}. Isn't sqrt{x^6} the same as x^3?
  11. Vital

    Simplify the equation - question about the angle

    Homework Statement Hello! Please, take a look at the following equation and help me to understand where the authors got the value of φ = π/3. I don't see where it is derived from as no additional conditions are given. Homework Equations x(t) = 5e(-t/5) cos(t) + 5e(-t/5) √3 sin(t) The...
  12. J

    ControlSystems - Easy way to simplify Closed Loop Equation?

    Homework Statement ##G_{OL} = \frac{5}{s}## ##G_{CL} = \frac{KG_{OL}}{1+KG_{OL}}## Homework EquationsThe Attempt at a Solution It's pretty easy when the equation is so simple ##G_{CL} = \frac{K\frac{5}{s}}{1+K\frac{5}{s}}## ##G_{CL} = \frac{5K}{s+5K}## If the open loop equation is really...
  13. javii

    Simplify Equation: Get Help Now!

    Homework Statement The Attempt at a Solution The way i have simplified it: I do not know it is the way to do it. But if so, now I need to give the answer in cartesian form, and I think I need to use the formula: meaning it will look like: Anyone who can tell me if I am on the right...
  14. P

    I A directional, partial derivative of a scalar product?

    Let's say I have two vector fields a(x,y,z) and b(x,y,z). Let's say I have a scalar field f equal to a•b. I want to find a clean-looking, simple way to express the directional derivative of this dot product along a, considering only changes in b. Ideally, I would like to be able to express...
  15. binbagsss

    A (sum to infinity of divisor function)^{2} -- simplify the expression

    Hi, I have ## 120 \sum \limits_1^\infty (\sigma_{3}(n))^{2} ## , where ## \sigma_{3}(n) ## is a divisor function. And I want to show that this can be written as ##120\sum \limits_{k=1}^{n-1} \sigma_{3}(k) \sigma_{3}(n-k) ## I'm pretty stuck on ideas starting of to be honest, since the sum is...
  16. H

    MHB Can anyone simplify any of these questions?

    Can anyone simplify any of these questions?
  17. A

    Solving limit with squareroot -- how can i simplify

    Homework Statement http://prntscr.com/cpbr3f Homework EquationsThe Attempt at a Solution If I were to simply plug in 25 into the limit, i would get ((25)^(1/3) - 5)/25 Apparently the answer is 2/5. How the heck can you come to this conclusion?
  18. Zaent

    Is there software to simplify physics formulae?

    What I mean by this is that I'm looking to see if there's any sort of software out there that has formulae that it "knows" and can reduce/expand back and forth for you. A simple example would be that I type "I*R" and it gets simplified to "V" using this software, or vice versa. I understand...
  19. Rectifier

    Boolean algebra - is it possible to simplify this expression to 0

    The problem I have been trying to solve a long problem but my answer differs from my books answer with just a few peculiar terms. My answer: ##x_1' \vee x_0'x_1x_2 \vee x_0x_1'x_2' \vee x_2## Book: ##x_1' \vee x_2 ## My question is: Is it possible to simplify ##x_0'x_1x_2 \vee...
  20. B

    Engineering Possible to simplify or transform source in circuit

    Homework Statement I have to do nodal analysis and I was wondering if there is any transformations or simplifications I can do to the circuit. In this class we are supposed to be able to look at the circuit and input what we need into the matrix based on just looking at it. I am not sure that I...
  21. RoboNerd

    Question on linearizing equation

    Homework Statement I posted the entire question, but I am only conserned with part B. There was a circuit drawing on there but it is irrelevant for this part of the problem. One can solve it without knowing the circuit drawing. Homework Equations The application for Kirchoff's Voltage Law...
  22. O

    I Using Logical Equivalences to Simplify a Statement

    Hey everyone, I am in a discrete math course, and I was reading pre-reading the textbook (Discrete Mathematics with Applied Applications by Epp 4th Ed.), but didn't understand their example, I don't understand, specifically, the distributive portion. I don't see how they distributed it like...
  23. Eagertolearnphysics

    Simplify Trigonometry expression

    Homework Statement I want to know how he simplified this expression to tan (theta) Homework EquationsThe Attempt at a Solution
  24. MrDickinson

    I Can someone me simplify this expression....

    lim_(h->0^-) (e^(x+h)/((x+h)^2-1)-e^(x+h)/(x^2-1))/h = -(2 e^x x)/(x^2-1)^2 I know how to differentiate the expression using the quotient rule; however, I want to use the limit definition of a derivative to practice it more.This desire to practice led me into a trap! Now I just can't simplify...
  25. R

    MHB Order of operations to simplify expressions .

    Hi, I have worked the problem but I am not sure that this is the correct answer, Please help. 3(-3) - (5)2^2 ____________ 8- SQRoot(36) +12 I got an answer of 11/14 but When I check on an online calculator to see if it is correct I am getting 5.5 ... 2^2 = TWO SQUARED SQRoot = Square...
  26. C

    Solving Deflection Using Double Integration: Simplify or Integrate?

    When using the double integration method to solve for deflection, do you simplify the integral before integrating or do you just integrate it? When i tried it with simplifying and without simplifying, I get a different value for the constant which results in different answers. For example in...
  27. A

    B How would Ether simplify science?

    I heard that if Aether was real it would simplify many things in science, what exactly would it simplify?
  28. karush

    MHB How to Strike Through Text in LaTeX?

    Simplify. Assume that $n$ and $m$ are positive integers, $a>b$, and $a>2$.$\frac{\left(a+1\right)!}{\left(a-2\right)!}$ was helping a friend with this but was clueless I know that n! $=n(n-1)(n-2) ... $
  29. A

    A Not getting how to simplify it

    hi..how can i simplify this..i tried on mathematica but i am getting nothing but the same expression\noindent\(\pmb{-e^{-x} \left(1-e^{-x}\right)^{-1+\beta } \left(1-\left(1-e^{-x}\right)^{\beta }\right)^{-1+\text{$\alpha $1}+\text{$\alpha $2}} \left(-1+\left(1-\left(1-e^{-x}\right)^{\beta...
  30. A

    I Can This Equation Be Simplified with Exponential Derivatives?

    I would like to simplify this equation. It contains the same value of the outside and inside the exponential. how to simplify more it more.
  31. M

    MHB How to Simplify f(3a-4) for the Function f(x)=-4x+5?

    Let f(x)=-4x+5. Find and simplify f(3a-4) I have the answer, but I don't know how to get there. Missed it on a test. Answer= = -12a+21
  32. P

    Confused as to how to simplify this circuit

    Homework Statement The sides of the biggest square have resistance ##R## and length ##L## (the amount of resistance in the wire is equal to the length), the smaller square is placed so that it's corners intersect midway through the sides of the larger square. Find the resistance between...
  33. olgerm

    Simplifying expression with vectors

    Homework Statement To simplify: ##\mid \vec b -\frac{\vec a*\vec b}{\vec a*\vec c} * \vec c \mid## ##\mid \vec b -\frac{(\vec a*\vec c)*(\vec b*\vec b)-(\vec a*\vec b)*(\vec b*\vec c)}{(\vec a*\vec b)*(\vec c*\vec c)-(\vec a*\vec c)*(\vec b*\vec c)} * \vec c \mid## Vectors may be any...
  34. M

    How can I simplify error estimates for a given equation?

    Homework Statement Simplify: 1/k [(k-1) x_n+ x^k/(x_n^(k-1) )]- 1/k [(k-1)x+ x^k/x^(k-1) ] where e_n = x_n - x x_n means x subscript n e_n means e subscript n It might be easier to look at the picture I typed out in MS Word...
  35. L

    How Does cos(θ)sin(θ+φ)-sinθcos(θ+φ) Simplify to sinφ?

    Can someone please show me, step-by-step, how cos(θ)sin(θ+φ)-sinθcos(θ+φ) simplifies to sinφ? I know I have to use trig identities, and I got to cos2θsinφ-sin2θcosφ but I'm not sure where to go from there. Thanks
  36. Marcin H

    Understanding Simplification of (e^t + e^-t)^2: Explained with Solution Pic

    I don't understand why my instructor simplified this problem like he did. I get how we took out the square for the (e^t + e^-t)^2, but what happened to the 2 under the square root. Pic of solution is attached
  37. C

    MHB How to Simplify Complex Problems: Expert Tips and Tricks

    Hey guys, I know it's pretty simple but after an hour of thinking on it i just can't get how to simplify this. Can someone help me? Thank you in advance!
  38. caters

    Simplify Expression: (1/3 + 1/3y)/(1/y + 1/3) = 6y/(9 + 3y^2)

    Homework Statement Simplify (1/3 + 1/3y)/(1/y + 1/3) Homework Equations (1/3 + 1/3y)/(1/y + 1/3) = x In this case I am using x to represent the simplified expression The Attempt at a Solution (1/3 + 1/3 * 1/y)/(1/y+1/3) = (2/3 * 1/y)/(1/y + 1/3) = (2/3y)/(1/y+1/3) = (2/3y)/(3/3y + y/3y) =...
  39. Bill_Nye_Fan

    Simplify x^(n-1)⋅³√(y^2/2x^5) into Rationalised Surd Form

    Homework Statement Q7.[/B] a) Express x^(n-1)⋅³√(y^2/2x^5) in its simplest, rationalised surd form. b) Given that the solution to part a) is 5, and that y can be expressed as 1/x^(6n+5)/4), determine the value of x. Again, express your answer in rationalised surd form. *Note, this is a...
  40. DevonZA

    Determine dy/dx of the following and simplify if possible

    < Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown > cos(x-y)=ysinx My attempt: -sin(x-y(x'-y')=y'cosx.x' Yeah I'm stuck.. I know it is differentiation of implicit functions and I need to make y' the subject of the formula.
  41. DevonZA

    Determine dy/dx of the following and simplify if possible

    y=##sin^{-1}(\frac{x-1}{x+1})## My attempt: ##\frac{dy}{dx}## = ##\frac{1}{\sqrt{1-(\frac{(x-1)}{(x+1)})^2}}## . ##\frac{d}{dx}(\frac{x-1}{x+1})## = ##\frac{1}{\sqrt{(\frac{(x+1)^2-(x-1)^2}{(x+1)^2}}}## . ##\frac{(x+1)(1)-(x-1)(1)}{(x+1)^2}## = ##\frac{x+1}{\sqrt{x^2+2x+1-x^2+2x-1}}## ...
  42. J

    Simplify each of this following surd

    Homework Statement 3∜2 - ∜(2/81) + ∜32 - ∜162 Homework EquationsThe Attempt at a Solution 3∜2 - ∜(2/81) - ∜130 3∜2 – ∜2/3 - ∜130 exactly when i tried to calculate, i got problem with the next of this calculating, i confused. Can anybody help me for do the next of this calculating??[/B]
  43. olgerm

    Simplify this expression please

    ##m*\frac{G*16*π*ρ*ω}{c^2}*\int_{a_0}^{a_{1}}(da*a*\int_{y}^{H+y} (\int_0^R (\int_0^{2*π} (\frac{(r-a*Cos(α))*r^2}{(a^2+r^2+h^2-2*r(a*Cos(α)))^{3/2}}* dα)dr)dh))## This equation is related with this post https://www.physicsforums.com/threads/gravitomagnetic-experiment.824048/. It where helpful...
  44. J

    How do I simplify this expression with a floor function?

    I would want to change this expression to another one that would have P easily accessible. \frac{\left \lceil (n+1)^{P} \right \rceil}{\left \lceil n^{P} \right \rceil} As an example of 'accessible'; given (n+1)^P / n^P, I can make P more accessible by using log(). Then it becomes P *...
  45. M

    Simplify the proof of different vector calculus identities

    Is there a way to simplify the proof of different vecot calculus identities, such as grad of f*g, which is expandable. And also curl of the curl of a field. Is there a more convenient way to go about proving these relations than to go through the long calculations of actually performing the curl...
  46. Albert1

    MHB Simplify $A$: Multiply Fractions

    $A=(\dfrac {1\times 4+\sqrt 2}{2\times 2-2})\times (\dfrac {2\times 5+\sqrt 2}{3\times 3-2})\times(\dfrac {3\times 6+\sqrt 2}{4\times 4-2})\times --------\times (\dfrac {2015\times 2018+\sqrt 2}{{2016}\times {2016}-2})$ please simplify $A$
  47. K

    MHB How to simplify a diabolical expression involving radicals

    A friend and I have been working on this problem for hours - how can the following expression be simplified analytically? It equals $\frac{1}{2},$ and we have tried the following to no avail: 1. Substitution of $x = \sqrt{5}$ 2. Substitution of $x = 2\sqrt{5}$ 3. Substitution of $x =...
  48. S

    Limit problem simplify the root

    Homework Statement [/B] I feel like I'm missing some theorem which is preventing me from finalizing this problem! It's been driving me nuts I feel like I'm missing something super basic! Ultimately they've given the solution, g/8, so I know this is how I should try to get the equation to look...
  49. R

    Arc Length. Simplify expression

    Homework Statement I'm trying to find Arc Length of F(x) = (e^x + e^-x)/2 0< x < 2]Homework Equations L = integrate sqrt ( 1 + (dy/dx))^2)The Attempt at a Solution (dy/dx)^2 + 1 = 1/4e^2x + 1/4e^-2x + 1/2] I don't know how to take the square root of the above function so I can be able...
  50. C

    Rational functions: combine and simplify terms

    Homework Statement (4a/a+4)+(a+2/2a) Homework Equations Just combine and then factor out The Attempt at a Solution It's actually fairly simple, but I'm having difficulty at the end. /multiply each term by opposite denominator 4a(2a)/a+4(2a) + a+2(a+4)/2a(a+4) /combine 4a(2a)+(a+2)(a+4) /...
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