微积分常用公式.doc

微積分常用公式及常用述語中英文對照微積分常用述語中英文對照A Chineseabsolute maximum絕對最大值absolute minimum絕對最小值absolutely convergent絕對收斂absolute value絕對值acceleration加速度alternating series交錯級數angle角antiderivatives反導數approach趨近arc length弧長argument輻角average value平均數BChinesebounded above有上界的bounded below有下界的bounded sequence有界數列CChinesecalculus微積分cardioid心臟線center of mass質心Chain Rule鏈式法則closed interval閉區間coefficient係數Complex numbers複數Conclusion(delete)結論(delete)conditional inequality條件不等式coordinate座標coordinate axis坐標軸curvature曲率coplanar共平面conic section二次曲線Completeness Axiom完備性公理contradictory linear equations矛盾方程組cycloid擺線conditionally convergent條件收斂critical number臨界值converge收斂cylinder圓柱體,柱體cross-section橫切面curve sketching曲線描繪curve曲線concave downward凹向下concave upward凹向上composite function合成函數DChinesedomain定義域denominator分母derivative導數dependent linear equations相依方程式discriminant判別式difference set差集dividend被除數divisor除數divergent發散differentiation微分discontinuity不連續decay衰變decimal小數decreasing遞減dimensional維數dot product點積direction angle方向角direction cosine方向餘弦determinant行列式direction number方向數density密度double integrals雙重積分EChineseexponent指數exponential law指數率exponential function指數函數extreme values of functions函數的極值expression函數表示法even function偶函數empty set空集合equation方程式ellipse橢圓ellipsoid橢球FChineseFibonacci sequence費伯納希數列four-leaved rose四葉玫瑰function函數Ggraphical solution圖解法Gaussian function高斯函數geometric series幾何級數global maximum全局最大值global minimum全局最小值gradient斜度, 變化率HChinesehalf-life半衰期harmonic function調和函數harmonic series調和級數helix螺旋線horizontal asymptote水平漸進線hypotenuse斜邊hypothesis假設hyperbola雙曲線hyperbolic function雙曲函數IChineseimplicit differentiation隱函數微分implicit function隱函數improper integral瑕積分increasing遞增indefinite integral不定積分indeterminate form不定型infinite series無窮級數inflection point反曲點initial point起點inner product內積Instantaneous velocity瞬時速度integrable可積分integration積分integrand被積函數integration by parts分部積分intercept截距interval of convergence收斂區間inverse function反函數Inverse trigonometric function反三角函數infinity無限大irrational number無理數inference推理interval區間integral exponent整數指數JChineseKChineseLChineseLHospitals Rule羅必達法則Laplaces equation 拉普拉斯方程式Law of Cosines餘弦定理least upper bound最小上界left-hand limit左極限linear inequality in two unknown variable二元一次不等式limit極限Limit law極限法則linear approximation線性逼近linear equation線性方程式linearization線性化local maximum局部最大值local minimum局部最小值logarithmic Functions對數函數lower limit下限MChineseMaclaurin series馬克勞倫級數maximum極大值matrix矩陣Mean Value Theorem均值定理midpoint rule中點法則minimum極小值moment彎矩moment of inertia轉動慣量, 慣性矩monotonic單調multiple倍數NChineseNewtons Method牛頓法normal line法線normal vector法向量numerator分子 O Chineseodd function奇函數 One-to-one function一對一函數open interval開區間optimization problem最佳化問題orthogonal正交origin原點PChineseparabola拋物線parameter 參數parametric curve參數曲線parametric equation參數方程式partial derivative偏導數partial fraction部份分式period週期periodic function週期函數perpendicular垂直polar axis極軸polar coordinate極座標polar coordinate system極座標系統polar equation極方程式polar moment of inertia極性轉動慣量property極點polynomial多項式polynomial function多項函數power series冪級數projection投影p-seriesp級數QChinesequadric surface二次曲面quotient商RChineseradius of convergence收斂半徑radian弧度rational function有理函數rational function有理函數real number實數relative error相對誤差relative maximum相對最大值range值域remainder餘數Riemann sun黎曼和right-hand limit右極限root function根函數SChinesesaddle point鞍點scalar純量scalar product純量積second moment同 moment of inertiasequence數列series級數Simpsons Rule辛普森法slant asymptote斜漸進線slope斜率solid of revolution旋轉體solution set解集合substitution rule代換法surface area表面積symmetric equation對稱方程式symmetry對稱TChinesetangent line切線tangent plane切平面tangent vector切向量Taylor series泰勒級數terminal point終點The comparison test比較試驗The integral test積分試驗The intermediate value Theorem中間值定理The limit comparison test極限比較試驗The Ratio Test比值試驗The Root Test根試驗trapezoidal rule梯形法trigonometric function三角函數trigonometric substitution三角代換triple integrals三重積分UChine