{"A standard special-function form uses the error function, erf.":"标准特殊函数形式使用误差函数erf。","A standard special-function form uses the logarithmic integral, li.":"标准特殊函数形式使用对数积分li。","A standard special-function form uses the sine integral, Si. Definite integration uses the continuous value 1 at zero.":"标准特殊函数形式使用正弦积分Si。定积分在零点使用连续值1。","Absolute-value rule, away from zero":"绝对值法则，避开零点","Adaptive Simpson numerical integration.":"自适应辛普森数值积分。","Angles":"角度","Antiderivative":"原函数","Calculate":"计算","Calculating…":"计算中…","Chain rule":"链式法则","Choose a definite integral and enter finite bounds for a numerical result.":"选择定积分，并输入有限上下限以获取数值结果。","Choose a derivative order from 1 to 5.":"选择1到5阶的导数阶数。","Choose a single letter other than e or i as the variable.":"选择除e或i以外的单个字母作为变量。","Combine the antiderivatives":"合并原函数","Complete the square":"配方","Constant multiple rule":"常数倍法则","Constant rule":"常数法则","Copy antiderivative":"复制原函数","Copy derivative":"复制导数","Cross-check passed at seven random domain points. Numerical agreement is not a proof.":"在七个随机定义域点通过交叉检查。数值一致并不构成证明。","Definite integral":"定积分","Degrees":"度","Degrees scale trig inputs by π/180 and inverse trig outputs by 180/π. These factors also appear in the calculus.":"度制会将三角函数输入乘以π/180，并将反三角函数输出乘以180/π。这些因子也会出现在微积分计算中。","Derivative calculator":"导数计算器","Derivative of order {0}":"{0}阶导数","Derivative order":"导数阶数","Differentiate the candidate and check seven random domain points":"对候选原函数求导，并检查七个随机定义域点","Enter finite bounds. Improper integrals and infinite bounds are not supported.":"请输入有限上下限。不支持反常积分和无穷上下限。","Estimated quadrature error: {0}. This is an estimate, not a rigorous bound.":"估计积分误差：{0}。这是估计值，并非严格界限。","Evaluate at (optional)":"在此处求值（可选）","Evaluated from the verified antiderivative and checked numerically.":"根据已验证的原函数求值，并通过数值检查。","Expected a closing parenthesis or absolute-value bar.":"应为右括号或绝对值竖线。","Expected a number, variable or function.":"应为数字、变量或函数。","Exponential and trigonometric product":"指数函数与三角函数乘积","Exponential rule":"指数法则","Expression":"表达式","Fifth":"第五","First":"第一","For example, pi/2":"例如，pi/2","Fourth":"第四","Function and first derivative plot":"函数及其一阶导数图","General power rule":"一般幂法则","Graphing calculator":"绘图计算器","Integral calculator":"积分计算器","Integrand with shaded definite area":"带阴影定积分区域的被积函数","Integration by parts":"分部积分","Inverse trigonometric rule":"反三角函数法则","Library antiderivative; differentiate to verify":"函数库原函数；求导以验证","Linearity":"线性法则","Loading maths…":"正在加载数学模块…","Logarithm rule":"对数法则","Logarithmic rule":"对数法则","Lower bound":"下限","Maths rendering could not load.":"无法加载数学公式渲染模块。","No closed form found.":"未找到闭式解。","No elementary antiderivative exists.":"不存在初等原函数。","Numerical integration did not converge within the error and evaluation limits.":"数值积分未能在误差和计算次数限制内收敛。","Order {0}":"{0}阶","Parsed input":"解析后的输入","Partial-fraction decomposition with numerically checked coefficients":"系数经过数值检查的部分分式分解","Polynomial long division":"多项式长除法","Position {0}.":"位置{0}。","Power reduction":"降幂","Power rule":"幂法则","Product rule":"乘积法则","Quadratic equation solver":"二次方程求解器","Quadratic radical formula":"一元二次方程根式公式","Quotient rule":"商法则","Radians":"弧度","Real-valued expressions in one variable. Up to 512 characters. Infinite bounds, singular intervals and general piecewise expressions are unsupported.":"单变量实值表达式，最多512个字符。不支持无穷上下限、奇异区间和一般分段表达式。","Related maths tools":"相关数学工具","Repeated integration by parts table":"重复分部积分表","Rules apply on the original real domain. Absolute values are differentiated piecewise away from their zeros; higher derivatives at corners are not inferred from simplification.":"这些法则适用于原始实数定义域。绝对值在避开零点时按分段形式求导；不会根据化简结果推断拐角处的高阶导数。","Scientific calculator":"科学计算器","Second":"第二","Shading shows the signed area. Sampled plot; gaps and steep values are omitted.":"阴影表示带符号面积。图像基于采样绘制；缺口和陡峭值会被省略。","Solid: f. Dashed: f′. Sampled plot; gaps and steep values are omitted.":"实线：f。虚线：f′。图像基于采样绘制；缺口和陡峭值会被省略。","Step-by-step working":"分步计算过程","Substitution":"换元法","Sum and difference rule":"和差法则","Symbolic cross-check passed: the difference simplifies to zero.":"符号交叉检查通过：差值可化简为零。","The antiderivative was found by the library. This outline lists only patterns recognised independently; it is not a trace of the library’s method.":"原函数由函数库找到。本概要仅列出独立识别出的模式，并非函数库方法的执行记录。","The derivative is undefined at this point.":"导数在此点无定义。","The expression is not defined as a finite real number here.":"表达式在此处未定义为有限实数。","The expression is too large. Use at most 512 characters, 160 nodes and 32 nesting levels.":"表达式过大。最多可使用512个字符、160个节点和32层嵌套。","The interval contains a domain gap, singularity, or a domain that could not be certified.":"该区间包含定义域断点、奇点，或无法确认的定义域。","The rule engine and library did not agree. The library result is shown; the working below is the rule engine’s attempt.":"规则引擎与函数库的结果不一致。当前显示的是函数库结果；下方过程是规则引擎的尝试。","The symbolic calculation could not be completed. Try a smaller expression.":"无法完成符号计算。请尝试使用更小的表达式。","These steps show the rules used to construct the antiderivative. The result also passed derivative-back numerical verification.":"这些步骤展示了构造原函数所使用的法则。该结果也通过了求导回代数值验证。","Third":"第三","This character or name is not supported.":"不支持此字符或名称。","Trigonometric rule":"三角函数法则","Try 2x, 3sin(x), e^x, ln(x), sqrt(x), |x| or log_2(x). Use parentheses after function names.":"请尝试2x、3sin(x)、e^x、ln(x)、sqrt(x)、|x|或log_2(x)。函数名称后请使用括号。","Unexpected input after the expression.":"表达式后存在意外输入。","Upper bound":"上限","Value at the chosen point: {0}":"所选点的值：{0}","Variable":"变量","Variable rule":"变量法则","Verified by differentiation at seven random domain points. Numerical agreement is not a proof. The constant may differ between disconnected intervals.":"通过在七个随机定义域点求导进行了验证。数值一致并不构成证明。不连通区间之间的常数可能不同。","Working outline":"计算过程概要"}