Results 41 to 50 of about 11,946 (250)
This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
wiley +1 more source
Inequalities of Some Trigonometric Functions [PDF]
By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
core
Algebraic values of trigonometric functions of inverse trigonometric functions [PDF]
This Demonstration generates expressions of the form f(n g(mx)) where f is a trigonometric function, g is an inverse trigonometric function, and m and n are integers can be expressed as algebraic, or even sometimes rational functions of xComponente ...
Trott, Michael
core +2 more sources
This paper reports on an APOS analysis of first year undergraduate pre-service mathematics student teachers’ understanding of the Sine Limit Identity(SLI), , and its application in computing limits of trigonometric functions. It was a case study of sixty-
Edmore Mangwende, Silvanos Chirume
doaj +1 more source
Families of Integrals of Polylogarithmic Functions
We give an overview of the representation and many connections between integrals of products of polylogarithmic functions and Euler sums. We shall consider polylogarithmic functions with linear, quadratic, and trigonometric arguments, thereby producing ...
Anthony Sofo
doaj +1 more source
Efficient and Robust Standing Postures of Quadruped Robots
A calibrated static framework estimates load, optimizes torques, and adapts posture so quadruped robots stand efficiently and robustly under external payloads, achieving up to 50% lower torque demand. Inspired by the natural posture adjustments of animals under external loading, this article presents an optimization‐based framework for minimizing joint
Mohamad Kanaan +5 more
wiley +1 more source
Functional surfaces are investigated as a foundation for reconfigurable microscale systems with sensing and actuation capabilities. Advances in additive manufacturing enable our development of planar arrays of hybrid‐material, compliant microdevices that convert environmental stimuli into programmed motion and visual responses.
Sandra Edward +5 more
wiley +1 more source
Three Inequalities Involving Hyperbolically Trigonometric Functions [PDF]
In the short note, by using mathematical induction and infinite product representations of the cosine function, hyperbolic sine function and hyperbolic cosine function, three inequalities for the cosine function, hyperbolic sine function and hyperbolic ...
Zhao, Jian-Wei +2 more
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Systematic Exploration of 3D Concrete Printing Parameters for Conformal Printing on Sloped Surfaces
A conformal slicing algorithm is developed for robotic 3D concrete printing (3DCP) on sloped surfaces as a first step toward printing slab‐on‐grade foundations on uneven terrain. Systematic experiments quantify the effects of nozzle speed, extrusion rate, and toolpath direction on filament dimension and stability.
Paniz Farrokhsiar +2 more
wiley +1 more source
Teaching and learning trigonometry with technology [PDF]
Modern school classrooms have access to a range of potential technologies, ranging from calculators to computers to the Internet. This paper explores some of the potential for such technologies to affect the curriculum and teaching of trigonometry in the
Kissane, B., Kemp, M.
core +1 more source

