fiducially

From fiducial +‎ -ly.

fiducially (comparative more fiducially, superlative most fiducially)

1. With confidence.
   • 1692–1717, Robert South, Twelve Sermons Preached upon Several Occasions, volume (please specify |volume=I to VI), London:

     enables the Soul fiducially to close with and rest upon that Object

   • 1866, Ralph Erskine, Select sermons, page 178:

     This I call an acting fiducially; that is, with a believing persuasion and particular application.

   • 2009, Gerald Kutcher, Contested Medicine: Cancer Research and the Military, page 57:

     Their ethics were supported by the Hippocratic principle of doing no harm, a deontological imperative that was realized fiducially through the physician's relationship to the patient.

2. In a fiducial manner; using or as a reference marker.
   • 1871, Royal Society (Great Britain). Southern Telescope Committee, Correspondence Concerning the Great Melbourne Telescope, page 21:

     A very perfect internal collimating telescope, with means under the observers hand of adjusting fiducially the line of collimation without the intervention of an assistant.

   • 1970, Stanley Alfred James Parsons, Metrology and Gauging, page 164:

     Then take the micrometer reading, using the indicator fiducially.

   • 2011, S.J. Belsley, “Robotic Applications in Surgical Oncology”, in Ronald Matteotti, Stanley W. Ashley, editor, Minimally Invasive Surgical Oncology, page 51:

     Respiratory gating with fiducially based respiratory motion tracking on a robotic radio-surgery system exemplifies a forerunner of more advanced fiducially based tracking systems .

3. (proscribed) Synonym of fiducial (accepted as a basis of reference)
   • 2004, Knowledge-based Intelligent Information and Engineering Systems, page 179:

     The success profit AG2(Y) is below the fiducially point Alpha, AG2(Y) < AG1 (X) exist and the success profit AG1(X) is over the fiducially point Beta.

   • 2019, D. K. Kishore Galla, BabuReddy Mukamalla, “Real Time Gender Classification Based on Facial Features Using EBGM”, in Suresh Chandra Satapathy, K. Srujan Raju, K. Shyamala, editor, Advances in Decision Sciences, Image Processing, Security and Computer Vision, page 553:

     Cluster outlines are dealt with as combinatorial associations in which, for each fiducially point, a stream from an alternate illustration experience can be chosen, in this way making a very helpful plan. This plan is printed to new face pictures to successfully discover the fiducially factors in the photo.

   • 2023, Neeraj Kumar Fuloria, Rishabha Malviya, Swati Verma, Big Data in Oncology: Impact, Challenges, and Risk Assessment:

     Dick et al. employed an ANN model to track irradiation of the liver without using fiducially tumors to monitor the lung-diaphragm boundary.

4. (statistics) Pertaining to or based on the correspondence between a parameter in a sample and the same parameter in the population from which the sample was drawn.
   • 1938, On the Statistical Theory of Errors, page 142:

     Closely related to the tests that have previously been described is the notion of fiducially related values of σ and s.

   • 1967, Samuel Stanley Wilks, Collected Papers; Contributions to Mathematical Statistics, page 252:

     In arguing fiducially about the value of a parameter, a procedure applicable to some of the simple cases begins by the calculation from the sample of an estimate of the parameter in question.

   • 1971, Technometrics - Volume 13, page 874:

     That is to say, we might consider the exponent (τ₀ - μ)/Θ to be distributed fiducially as a weighted sum of two Chi-squares.

5. (law) In a fiduciary manner.
   • 1816, Acts Passed at the First Session of the General Assembly for the Commonwealth of Kentucky, page 520:

     Be it further enacted, That all libraries &c. held fiducially or individually for seminary or church objects, shall be alike exempt from taxation.

   • 1975, Pension Plan Guide:

     Where plan was part owner of mortgages, other investors were not fiducially liable to plan

   • 2007, Mike Dubrasich, “Statement of Michael E. Dubrasich, Lebanon”, in Costs of wildfire suppression :Congressional Hearing, page 79:

     The logic of the Audit is fiducially incompetent and wrong, and following it will lead to steadily increasing catastrophic forest fire acreage and exponentially greater cost-plus-losses in the future.