“內建函數與運算子”的版本间的差异

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To create numbers, coordinates, or equations using the [[Input Bar]] you may also use the following pre-defined functions and operations. Logic operators and functions are listed in article about [[Boolean values]].
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To create numbers, coordinates, or equations using the [[Input Bar]] you may also use the following pre-defined functions and operations. Logic operators and functions are listed in article about [[Boolean values]]. 要利用[[指令列]]建立數值、座標或方程式,您可使用下列內建的函數與運算子。與邏輯相關的運算子與函數列表請參閱「[https://wiki.geogebra.org/en/Boolean_values 真假值]」。
  
{{Note|The predefined functions need to be entered using parentheses. You must not put a space between the function name and the parentheses.}}
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{{Note| 使用內建函數必須使用圓括號而不是方括號,且函數名稱和圓括號之間不可空白。}}
  
 
  
 
  
 
{| class="pretty" width="95%"
 
{| class="pretty" width="95%"
 
|-
 
|-
!Operation / Function
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! 運算/函數
!Input
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! 指令
 
|-
 
|-
|ℯ ([[w:E_(mathematical_constant)|Euler's number]])
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|ℯ [http://zh.wikipedia.org/wiki/E_( 数学常数) 尤拉數]
 
| {{KeyCode|Alt+e}}
 
| {{KeyCode|Alt+e}}
 
|-
 
|-
([[w:Imaginary unit|Imaginary unit]])
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[http://zh.wikipedia.org/wiki/虛數單位 虛數單位]
 
| {{KeyCode|Alt+i}}
 
| {{KeyCode|Alt+i}}
 
|-
 
|-
 
 
| {{KeyCode|Alt+p}} or pi
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| {{KeyCode|Alt+p}} pi
 
|-
 
|-
|° ([[w:Degree symbol|Degree symbol]])
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|° ([https://zh.wikipedia.org/wiki/%E5%BA%A6%E6%95%B8%E7%AC%A6%E8%99%9F 度數符號]])
| {{KeyCode|Alt+o}} or deg
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| {{KeyCode|Alt+o}} deg
 
|-
 
|-
|Addition
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| 加法
 
| +
 
| +
 
|-
 
|-
|Subtraction
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| 減法
 
| -
 
| -
 
|-
 
|-
|Multiplication
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| 乘法
|* or Space key
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|* or 空白鍵
 
|-
 
|-
|Scalar product
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| 內積(純量積)
|* or Space key
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|* or 空白鍵
 
|-
 
|-
|Vector product(see [[Points and Vectors#Vector Product|Points and Vectors]])
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| 外積(向量積,請參閱[https://wiki.geogebra.org/en/Points_and_Vectors#Vector_Product 點和向量]
 
|⊗ 
 
|⊗ 
 
|-
 
|-
|Division
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| 除法
 
|/
 
|/
 
|-
 
|-
|Exponentiation
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| 次方
|^ or superscript (<code>x^2</code> or <code>x<sup>2</sup></code>)
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|^ 或 上標 (<code>x^2</code> <code>x<sup>2</sup></code>)
 
|-
 
|-
|Factorial
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| 階乘
 
|!
 
|!
 
|-
 
|-
|Parentheses
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| 小括號
 
|( )
 
|( )
 
|-
 
|-

2021年5月11日 (二) 05:27的版本

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To create numbers, coordinates, or equations using the Input Bar you may also use the following pre-defined functions and operations. Logic operators and functions are listed in article about Boolean values.要利用指令列建立數值、座標或方程式,您可使用下列內建的函數與運算子。與邏輯相關的運算子與函數列表請參閱「真假值」。

備註: 使用內建函數必須使用圓括號而不是方括號,且函數名稱和圓括號之間不可空白。


運算/函數 指令
ℯ (尤拉數 Alt + e
ί (虛數單位 Alt + i
π Alt + p 或 pi
° (度數符號]) Alt + o 或 deg
加法 +
減法 -
乘法 * or 空白鍵
內積(純量積) * or 空白鍵
外積(向量積,請參閱點和向量
除法 /
次方 ^ 或 上標 (x^2x2)
階乘 !
小括號 ( )
x-coordinate x( )
y-coordinate y( )
z-coordinate z( )
Argument (also works for 3D points / vectors) arg( )
Conjugate conjugate( )
Real real( )
Imaginary imaginary( )
Absolute value abs( )
Altitude angle (for 3D points / vectors) alt( )
Sign sgn( ) or sign()
Greatest integer less than or equal floor( )
Least integer greater than or equal ceil( )
Round to nearest integer (or to y decimal places) round(x) or round(x, y)
Square root sqrt( )
Cubic root cbrt( )
The nth root of x nroot(x, n)
Random number between 0 and 1 random( )
Exponential function exp( ) or ℯx
Logarithm (natural, to base e) ln( )
Logarithm to base 2 log₂() or ld( )
Logarithm to base 10 log₁₀( ) or log( ) or lg( )
Logarithm of x to base b log(b, x )
Cosine cos( )
Sine sin( )
Tangent tan( )
Secant sec()
Cosecant csc() or cosec()
Cotangent cot() or cotan()
Arc cosine (answer in radians) acos( ) or arccos( )
Arc cosine (answer in degrees) acosd( )
Arc sine (answer in radians) asin( ) or arcsin( )
Arc sine (answer in degrees) asind( )
Arc tangent (answer in radians, between -π/2 and π/2) atan( ) or arctan( )
Arc tangent (answer in degrees, between -90° and 90°) atand( )
Arc tangent (answer in radians, between -π and π) atan2(y, x)
Arc tangent (answer in degrees, between -180° and 180°) atan2d(y, x)
Hyperbolic cosine cosh( )
Hyperbolic sine sinh( )
Hyperbolic tangent tanh( )
Hyperbolic secant sech( )
Hyperbolic cosecant csch( )
Hyperbolic cotangent coth( ) or cotanh()
Antihyperbolic cosine acosh( ) or arccosh( )
Antihyperbolic sine asinh( ) or arcsinh( )
Antihyperbolic tangent atanh( ) or arctanh( )
Beta function Β(a, b) beta(a, b)
Incomplete beta function Β(x;a, b) beta(a, b, x)
Incomplete regularized beta function I(x; a, b) betaRegularized(a, b, x)
Gamma function Γ(x) gamma( x)
(Lower) incomplete gamma function γ(a, x) gamma(a, x)
(Lower) incomplete regularized gamma function P(a,x) = γ(a, x) / Γ(a) gammaRegularized(a, x)
Gaussian Error Function erf(x)
Digamma function psi(x)
The Polygamma function is the (m+1)th derivative of the natural logarithm of the Gamma function, gamma(x) (m=0,1) polygamma(m, x)
The Sine Integral function sinIntegral(x)
The Cosine Integral function cosIntegral(x)
The Exponential Integral function expIntegral(x)
The Riemann-Zeta function ζ(x) zeta(x)
Lambert's W function LambertW(x, branch) LambertW(x, 0), LambertW(x, -1)
備註: The x, y, z operators can be used to get corresponding coefficients of a line.
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