Verified locator: Mitutoyo, Quick Guide to Precision Measuring Instruments, Calipers excerpt, printed pp. 16–17 (PDF pp. 1–2). Types of Vernier Scale: 0.05 mm spacing difference, standard versus long vernier. Sources of Error and Moving Jaw Tilt Error discuss force, jaw geometry, thermal differences and readability versus accuracy. The excerpt has no verified edition date.
Printed p. 17, Moving Jaw Tilt Error: the worked manufacturer example uses slope 0.01 mm over 50 mm and jaw depth 40 mm, giving tip error (40/50) times 0.01 mm = 0.008 mm. The following note warns that guide wear can cause error even with correct measuring force. www2.mitutoyo.co.jp/eng/products/menu/QuickGuide_Calipers.pdf
Verified locator: Texas Instruments Analog Engineer’s Circuit, document SNOA997A, July 2018 revised August 2019. Design Goals and Description, p. 1: 2.5 V upper and 2.2 V lower thresholds and noise-induced transitions; pp. 2–3: state-dependent threshold analysis. The revision date is distinct from the PDF footer copyright year.
Manufacturer technical brief 57W-17577-0, hosted by the University of British Columbia. Printed p. 3 derives the scope of the one-pole 10–90-percent rise-time/bandwidth factor and warns that bandwidth alone does not determine transient fidelity. Printed pp. 4–6 discuss step response, source/probe/scope contributions and probe loading. No individual byline is supplied.
Official workshop speaker biography identifies Brian Brookman as an independent proficiency-testing consultant and former Chief Scientific Officer of the LGC global PT business. The named speaker page directly links portrait eurachem-ptalicante2026.org/wp-content/uploads/2025/03/Brian-Brookman.jpg . The biography describes his proficiency-testing training, accreditation and working-group activities; no birth date is provided.
Second edition, 2019, Eurachem/EUROLAB/CITAC/Nordtest/AMC guide. Editorial page gives Michael H Ramsey, Stephen L R Ellison and Peter Rostron as editors; the 2019 citation uses M H Ramsey, S L R Ellison and P Rostron. Sections 9.3–9.5, printed pp. 16–22, give nested variance components, duplicate sampling and duplicate chemical analysis. Section 9.4.2 and Figure 2 distinguish sampling replication from analytical replication and warn that one-sampler duplicates do not determine sampling bias.
Section 9.4.2, Note 2 and Figure 2, printed p. 19 (PDF p. 29), explain an unbalanced duplicate design. Appendix D.2 and Figure D.2(b), printed p. 103 (PDF p. 113), show two analyses of one collected sample and one analysis of its field duplicate, retaining sampling and analytical variance-component estimation. This differs from the simplified balanced design in Figure D.2(a), which omits analytical duplicates.
Edited by Brian Brookman and Ian Mann. Eurachem guide, third edition (2021), version EPT 2021:P3. Section 3 (printed p. 4) defines interlaboratory comparison and proficiency testing; §7.2.4 (pp. 16–17) gives performance scores, and §8.2.3 (p. 21) discusses selection of the assessment standard deviation.
Additional verified locators: §7.1 (printed p. 15) discusses robust treatment of participant results. §§7.2.2–7.2.3 (pp. 15–16) and Annex D.2–D.3 distinguish assigned-value methods and assessment-standard-deviation selection. §7.2.4 (pp. 16–18) defines z and modified z-prime scores and the common boundaries: absolute score at most 2 is satisfactory, between 2 and 3 is questionable, and at least 3 is unsatisfactory. §7.2.6 (p. 18) gives the assigned-value uncertainty criterion u(x_pt) less than 0.3 sigma_pt. Annex D.2 notes that formulation may not reproduce routine sample-preparation or recovery difficulties.
Additional item-specific locators: §3.4 (printed p. 4) defines a proficiency-test item to include a sample, product, artefact, reference material, equipment, standard, data set or other information used for proficiency testing. §8.2.3 (p. 21) requires item homogeneity and stability appropriate to a proposed stricter assessment scale. §8.3.3.4 (p. 24) identifies item deterioration, matrix differences and inadequate homogeneity or stability as possible scheme-related causes of discrepant results.
IUPAC Technical Report, Pure Appl. Chem.83(10),1873–1935(2011), DOI10.1351/PAC-REP-07-09-39. Publisher index verifies byline Paul De Bièvre, René Dybkær, Aleš Fajgelj and D. Brynn Hibbert; Fajgelj affiliation is IAEA Department of Nuclear Sciences and Applications. Abstract states aim: consistent creation, meaning and role of metrological traceability in chemical measurement. Publisher PDF fetch403; no full-PDF inspection asserted.
JCGM100:2008, GUM1995 with minor corrections; first edition September2008. Sections5.1–5.2 give first-order combination of standard uncertainties for independent and correlated inputs; covariance terms enter through the measurement-model sensitivity coefficients.
Evaluation of measurement data — Guide to the expression of uncertainty in measurement, JCGM100:2008, GUM1995 with minor corrections, first edition September2008. Sections5.1–5.2: sensitivity coefficients and propagation of uncertainty; equation(13): correlated-input covariance contribution. Sections5.2.4–5.2.5 explain common-instrument/reference-data correlations and require significant covariances to be included.
The PDF title page also identifies the corrected version2010. Sections5.1.3–5.1.4 define sensitivity coefficients and describe their experimental determination. Section5.2.2, equations13–16, propagates correlated inputs; §5.2.4 identifies common instruments, standards and reference data as correlation sources.
Official ISO-hosted text of Chapter 5: www.iso.org/sites/JCGM/GUM/JCGM100/C045315e-html/C045315e_FILES/MAIN_C045315e/05_e.html . Sections 5.2.2–5.2.4 retain covariance contributions and identify common instruments, measurement standards and reference data as sources of correlation; Annex F.1.2.3 gives practical shared-reference cases.
Official ISO-hosted Chapter 4: www.iso.org/sites/JCGM/GUM/JCGM100/C045315e-html/C045315e_FILES/MAIN_C045315e/04_e.html . Section 4.1.2 requires significant correction/influence quantities in the measurement model and discusses incomplete modeling; section 4.2.5 treats standard uncertainties of least-squares fit parameters.
Official primary PDF: www.bipm.org/documents/20126/2071204/JCGM_100_2008_E.pdf . JCGM 100:2008, corrected version 2010, Section 5.2 gives correlated-input uncertainty propagation; Annex F.1.2 discusses correlations from shared inputs. These supply the covariance framework for the original equal-offset cancellation and unequal-sensitivity examples in spectral common-mode offset rejection.
JCGM 100:2008, Annex E.3.3 distinguishes propagation of standard deviations from propagation of confidence intervals; the note to section 5.1.2 discusses significant nonlinearity and higher-order terms. Official primary PDF: www.bipm.org/documents/20126/2071204/JCGM_100_2008_E.pdf .
Primary Tektronix primer, Digital Design Debugging Guide, document55W-19175-0. Picking out Jitter and Diagrams5–6, printedpp.12–14, distinguish ideal-reference edge error, period variation and cycle-to-cycle differences; the statistical discussion lists mean, standard deviation and peak-to-peak measures. No personal author or publication date is assigned.
NIST Technical Note1394, January1998. Printed title page names Rodney W. Leonhardt. Section6.2, Laser stability, printedp.23: internal excimer-laser pulse monitor, pyroelectric energy meter, integrated calorimetric energy and averaging over pulses. The report distinguishes pulse variability from its contribution to a calibration result.
Manufacturer catalogue. PDFp1 Overview: adjustable gate delay, integration and normalization by gate width. PDFp2 Gate Timing and Polarity Control and Active Baseline Subtraction: oscilloscope gate monitor, alternate signal/baseline triggers and polarity reversal.
PDF p2, Gate Timing and Additional Outputs; p3, Delay/Jitter. The descriptive text combines20ps and0.01% of full-scale delay with a plus sign, whereas the specification table says “whichever is larger”. These passages therefore do not specify an identical numerical jitter model.
Institutional profile. Areas of Expertise and dated narrative identify ultraviolet detector calibration, program leadership from1998 and contributions to radiation measurement. Selected Publications identifies work on silicon-photodiode response to pulsed radiation. The prose dates in the narrative are distinguished from the inconsistent Staff Employment summary.
Primary NIST publication record, 10 April 2009; abstract reports nonlinear silicon-photodiode response under pulsed illumination, including reverse-bias and illuminated-area dependence. First-author name Robert E. Vest is explicit. Used for the limitation of a linear charge-response model, not for numerical performance specifications.
Access note, 3 November 2026: the publication record’s Local Download led to an unrelated interferometer paper. Citations here use the verified publication-record abstract; that mismatched PDF is not a source for the photodiode results.
NIST SP 250-64 (2004), DOI 10.6028/NIST.SP.250-64. Full report: §3.4, printed p. 6, calibrated beam splitting; §4, printed pp. 9–10, modulated continuous-wave source, slow thermal reference, pulse-count normalization and integrating detector readout. Printed title/byline on p. 1 identifies Rodney W. Leonhardt. The historical apparatus is described separately from the article’s stipulated numerical examples.
Additional locators: §3.5, printed p. 8, TC-24 thermocouples, absorbing glass plate, before/after baseline readings and total injected energy; §4, printed pp. 9–10, pulse-count normalization and integrating electronics whose peak-voltage readout is calibrated as pulse energy. These apparatus details belong to the historical 2004 system.
Sections 5.2 and 6.1–6.2, printed pp. 13–15: bandwidth-limited detector convolution, approximately150ps optical excitation, sampling readout, and measured-response convolution for pulse corrections. Historical 2004 apparatus.
Appendix C.1–C.2, printed pp. 36–37, separates detector-response distortion from the incident waveform. The procedure describes typical 120 ps optical excitation, a roughly 5 ns detector rise time and a 1 GHz oscilloscope with 0.4 ns rise time; the measured response includes detector, cable and oscilloscope. Responses are measured at each gain and at multiple signal levels.
Verified locator: Named primary staff profile, Research Chemist; Areas of Expertise and research description establish thermodynamic-property measurements, modeling and data quality assessment. Institutional identity connects to the IUPAC reference-system project. Portrait linked directly under the named profile; image browser returned cache miss. No birth date, expanded name or individual coauthor roles inferred.
Corporate primary datasheet, WIKA23X.50,06/2025, Type232.50 dry case and Type233.50 liquid-filled case. Precise locators: p1, Accuracy class, specified four- and six-inch versions at plus/minus1.0percent of span; p1, Temperature error, additional plus/minus0.4percent of span per10K from the20degreeC reference. These are version-specific specifications, not a universal claim about all WIKA instruments.
By Walt Kester, exactly as credited on p1. Full title: The Good, the Bad, and the Ugly Aspects of ADC Input Noise—Is No Noise Good Noise? Analog Devices primary tutorial, Rev.A10/2008. Precise locators: p1, code-transition noise; p2, grounded-input histograms; pp3–4, noise-free code resolution and effective resolution.
Publisher-hosted primary handbook text verified through its indexed sections; direct opening returned403. Precise locators: §3.2.2, Figure3-4, reversing sources to cancel unchanged thermoelectric EMFs; §3.3.2, Figure3-18, current reversal and the requirement to finish sufficiently fast relative to changing thermal offsets. Corporate authorship/brand only; no individual author or publication year inferred.
§3.3.1, Lead Resistance and Four-Wire Method, Figure 3-16: the two-wire method sends test current through the same leads used for the terminal potential-difference measurement, adding their resistance to the specimen reading. Verified in the publisher-indexed text; direct page access still returns 403. No new byline or edition year inferred.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
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    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
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    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
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Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact