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US 2013/0110270 A1Published application
Pi estimating method (PEM Algorithm) and device (D)
OwnerJohnny B. Schwaller, P.E., Peggy A. Robertsinventors
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OwnerJohnny B. Schwaller, P.E., Peggy A. Robertsinventors
Estimating the term…
Original Pi Estimating Method (PEM) Algorithm is primarily intended for computer application. PEM Algorithm, given in ‘word format’, describes a math process suitable for programming. Using sufficient pi truncations and the set of all real numbers for domain divisions, PEM math process permits a user to specify goal-precisions and to estimate goal-displacements in ALL dimensional-space, domains and ranges, particularly, for ALL infinitesimal space, including beyond quantum values. By use of super-computer, PEM Algorithm can be combined with appropriate interface to control high energy devices for consistent, precise, repeatable values. Uncertainty and probabilities, involved during microscopic, infinitesimal displacements, require precise and repeatable estimates within atomic, sub-atomic, and beyond—domains. Since PEM provides reliable, repeatable, estimates of pi approximations close to actual displacements: probabilities increase and uncertainties lessen. Not to be overlooked, self-contained, binary hardware, PEM Devices involve vastly numerous configurations and unlimited sizes.
PEM Algorithm is an original and unique Math Process that utilizes the set of all real numbers in a bounded binary domain, and when combined with pi's ability for infinite truncations, without repeating values, original PEM Equation 2 allow computed binary range values in a restricted arc segment Partition, such that, User-defined Precisions for accurate (target) displacement approximations are integrally obtained by PEM Average Precision per Circumference or Crank (Avg. ppc) Tables specifically constructed for use with PEM Algorithm to either Control an external Device (D) or to support operation of PEM Device(D) or Hardware (PEMD) Operations.
Once a PEMD's size is determined and its corresponding Average Precision per Crank (Avg. ppc) Table is constructed for an intended device's Target (T) Range(s), an ornamental PEMD can be fabricated for its intended PEM Tables, such that, a hardware device will be an original device functioning as a self-contained unit, a pi device, a binary device, which will pi estimate displacement by operation of its mechanism.
PEM Algorithm can yield precise approximations for displacements within extremely small (>minus infinity) target/goal-value, binary ranges & domains, to extremely large (<positive infinity) target/goal-value, binary ranges & domains, using predetermined user specified precisions in Algorithm usage of pi estimating method (PEM) for results limited only by the arithmetic unit capacities of super-computers, by the concatenation of their links, and/or by budget restrictions.
Dependencies are inferred from the claim text.