Symbolic manipulators affect mathematical mindsets

Symbolic modeling of flexible manipulators

This paper presents a new systematic algorithm to symbolically derive the full nonlinear dynamic equations of motion of multi-link flexible manipulators. Lagrange's-Assumed modes method is the basis of the new algorithm and adapted in a way suitable for symbolic manipulation by digital computers. It is aaplied to model a two-link fleXIble arm via a commercially available symbolic manipulation p...

Symbolic Elimination for parallel manipulators

The forward kinematics problem of parallel robot consists in computing the position of a solid moving in the three-dimensional space with six points on it constrained to lie respectively on six given spheres. This problem can also be represented by a system of algebraic equations, and it is known to admit at most 40 complex solutions. Our approach consists in adding extra sensors, that give us ...

Symbolic Derivation and Dynamic Simulation of Flexible Manipulators

Combining Theorem Proving and Symbolic Mathematical Computing

An intelligent mathematical environment must enable symbolic mathematical computation and sophisticated reasoning techniques on the underlying mathematical laws. This paper disscusses diierent possible levels of interaction between a symbolic calculator based on algebraic algorithms and a theorem prover. A high level of interaction requires a common knowledge representation of the mathematical ...

Mindsets Affect Risk Perception and Risk-Taking Behavior Illusory Optimism and the BART

In two experiments, we investigated the downstream consequences of activating deliberative versus implemental mindsets on risk perception (Experiment 1) and risk-taking behavior (Experiment 2). We hypothesized that participants in an implemental versus deliberative mindset arrive at more optimistic judgments about their own risks of experiencing negative life events, compared to other peoples’ ...