Topic
Inverse trigonometric functions
About: Inverse trigonometric functions is a research topic. Over the lifetime, 854 publications have been published within this topic receiving 11141 citations. The topic is also known as: arcus function & antitrigonometric function.
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Book•
29 Jan 1979
TL;DR: In this paper, the authors present a list of functions of several Variables and Differential Equations, including Vectors and Matrices, and the Definite Integral.
Abstract: 1. Functions. 2. The Derivative. 3. Exponential and Logarithm Functions. 4. Applications of Derivatives. 5. Trigonometric Functions. 6. Integration. 7. The Definite Integral. 8. Probability. 9. Functions of Several Variables. 10. Differential Equations. 11. Difference Equations. 12. Vectors and Matrices. Appendices.
6 citations
6 citations
01 May 1953
6 citations
Patent•
09 Sep 1998
TL;DR: In this paper, the authors proposed the utility model of circular functions drawing devices, which is characterized in that a rail seat is provided with a supporting board, a rotating wheel, a positioning screw, a connecting rod with a positioning hole, a telescopic rod, a fixing screw, and an adjusting bolt with the driving belt.
Abstract: The utility model relates to a circular functions drawing device which is characterized in that a rail seat is provided with a supporting board, a combined rotary wheel, a combined rotary wheel, a positioning screw, a connecting rod with a positioning hole, a telescopic rod, a fixing screw, a positioning screw in connecting rod connection, a connecting rod, a slide way, a slide block with a pen, a half slide block with a pen, a driving belt, a positioning wheel with the driving belt, and an adjusting bolt with the driving belt. The utility model provides a tool by mechanical motion of points to carry out the graph of the circular function. The utility model can change the size of the amplitude period according to the requirement of people. The circular functions drawing device can draw sine, cosine, arcsine, inverse cosine, tangent, cotangent, inverse tangent, inverse cotangent, circular functions series graph. The utility model has the advantages of simple structure, accurate drawing, lower cost, and easy use.
6 citations
TL;DR: In this paper , an adaptive dynamic surface control approach is proposed for uncertain strict feedback systems (SFSs) to guarantee both the prescribed transient tracking performance and the asymptotic tracking while realizing the accurate parameter estimation.
Abstract: In this article, an adaptive dynamic surface control approach is proposed for uncertain strict‐feedback systems (SFSs) to guarantee both the prescribed transient tracking performance and the asymptotic tracking while realizing the accurate parameter estimation. It is assumed that SFSs are subject to linearly parametric uncertainties in both the drift terms and the control coefficients. A new inequality on the arctangent function, which can be widely used in the robust or the adaptive control designs, is established. Owing to this inequality, nonlinear robust filters with arctangent functions are designed and embedded into the backstepping control algorithm to avoid the “differential explosion” problem. Moreover, an improved forgetting‐factor‐based parameter estimation error reconstruction mechanism is proposed. And the obtained parameter estimation errors are integrated into the adaptive laws to achieve the accurate parameter estimation. Furthermore, the projection operator is applied to avoid the singularity problem of the control law. Besides, an asymmetric error transformation is introduced to restrict the tracking error within the prescribed performance envelope. It is proved that the tracking error and the parameter estimation errors asymptotically converge to zero and the tracking error satisfies the prescribed transient performance. Finally, the effectiveness of the proposed control approach is validated in terms of the single‐link manipulator actuated by a brush DC motor.
6 citations