What is he best known for?
The fields of study he is best known for:
- Geometry
- Quantum mechanics
- Mathematical analysis
Mathematical analysis, Arc length, Curvature, Algorithm and Polynomial are his primary areas of study.
His Mathematical analysis study typically links adjacent topics like Quintic function.
His Curvature research is multidisciplinary, incorporating elements of Spline and Solid modeling.
His Algorithm research includes themes of Variable and Acceleration.
His Polynomial study incorporates themes from Bernstein polynomial, Pure mathematics, Numerical stability and Square.
The Hodograph study which covers Pythagorean theorem that intersects with Pythagorean hodograph.
His most cited work include:
- Pythagorean hodographs (352 citations)
- Triple point of Yukawa systems (335 citations)
- Algorithms for polynomials in Bernstein form (287 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Geometry, Polynomial, Quintic function and Arc length.
The concepts of his Mathematical analysis study are interwoven with issues in Curvature and Tangent.
His study in the field of Surface and Normal also crosses realms of Offset.
The various areas that Rida T. Farouki examines in his Polynomial study include Bernstein polynomial, Pure mathematics, Control theory, Function and Algorithm.
The study incorporates disciplines such as Basis and Algebra in addition to Bernstein polynomial.
His Quintic function study combines topics from a wide range of disciplines, such as Quadratic equation, Quaternion, Hopf fibration and Scalar.
He most often published in these fields:
- Mathematical analysis (31.58%)
- Geometry (16.67%)
- Polynomial (16.67%)
What were the highlights of his more recent work (between 2011-2021)?
- Mathematical analysis (31.58%)
- Arc length (14.91%)
- Quintic function (15.79%)
In recent papers he was focusing on the following fields of study:
Rida T. Farouki spends much of his time researching Mathematical analysis, Arc length, Quintic function, Tangent and Curvature.
He has researched Mathematical analysis in several fields, including Solution set, Angular velocity and Rotation.
His Quintic function study also includes
- Interpolation that connect with fields like Algorithm,
- Spline interpolation which is related to area like Quadratic function.
His Tangent research is included under the broader classification of Geometry.
Many of his research projects under Curvature are closely connected to Maxima with Maxima, tying the diverse disciplines of science together.
His Applied mathematics research includes elements of Parametric equation and Monotone polygon.
Between 2011 and 2021, his most popular works were:
- The Bernstein polynomial basis: A centennial retrospective (272 citations)
- Optimal tool orientation control for 5-axis CNC milling with ball-end cutters (38 citations)
- High-speed cornering by CNC machines under prescribed bounds on axis accelerations and toolpath contour error (37 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Geometry
- Mathematical analysis
Rida T. Farouki focuses on Quintic function, Mathematical analysis, Tangent, Arc length and Control theory.
Rida T. Farouki has included themes like Discrete mathematics, Curvature, Free parameter and Interpolation in his Quintic function study.
He has included themes like Family of curves, Numerical integration, Bézier curve and Applied mathematics in his Discrete mathematics study.
His study in Polynomial and Hopf fibration is done as part of Mathematical analysis.
His Tangent research incorporates themes from Osculating circle, Quadratic equation, Algebraic number, Characterization and Orthonormal frame.
His research integrates issues of Path, Measure, Acceleration and Monotonic function in his study of Control theory.
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