1 / 23

Understanding Energy and Dimensional Consistency in Behavioral Studies

Explore the concepts of kinetic and potential energy, total energy conservation, and dimensional consistency in behavior analysis. Learn about dimensional analysis, pendulum periods, allometry in birds, and scaling in fixed interval schedules. Discover the nuances in rate-dependency and skill performance, including Baum's Law and 1/f noise in interval response time schedules.

dakota
Download Presentation

Understanding Energy and Dimensional Consistency in Behavioral Studies

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. DIMENSION IN ACTIONANDTHE PROBLEM OF BEHAVIORAL UNITSM. Jackson Marrmm27@prism.gatech.edu

  2. KINETIC ENERGY = 1/2 m v2 = M L2/T2 POTENTIAL ENERGY = m g h = M L2/T2 TOTAL ENERGY = K + P (conserved) TOTAL ENERGY IS A CONSTANT OF MOTION

  3. DIMENSIONAL CONSISTENCY? B = k r / (r + ro) Rout = {ln [1+(PB/γPR)(exp [1/Rin] – 1]} -1

  4. log [cabin] = ?! But, log [4 cabins / 2 cabins] = log 2 = 0.30103.

  5. Dimensional Analysis Period of a Pendulum T= f (L, g, m)? T1 = La (L T-2)b Mc in units of length, mass, and time. Solve for a, b, and c to yield dimensional consistency. a =1/2, b = -1/2, c =0, gives: T = k (L/g)1/2 , where k is dimensionless. In fact, k = 2π.

  6. Allometry in Birds

  7. If f (x) = c xα then, log f (x) = log c + α log x. This is a linear function on a log-log-scale.

  8. Scaling in IRT>t Schedules IRT>t Scheduled Value

  9. Scaling Rate and Response Number in FI Schedules

  10. Scale Invariance in FI Schedules with  = 1

  11. Rate-Dependency In FI Schedules (CPZ) Control Rate

  12. Skill Performance with Practice (Anderson, 2000)

  13. Baum’s Law (B1 / B2) = b(r1 / r2)a b: bias a: sensitivity

  14. 1/f noise in IRT>t schedules?

  15. FI 10 (FR 20: Sp)

More Related