A balance of emitted and reflected radiance at a surface. A bidirectional reflectance distribution function weights incident radiance from each direction, and a cosine accounts for projected area. Indirect illumination makes the incident field depend on other surfaces.

Hardware for floating-point arithmetic. Its cost and historical absence on some processors motivate integer arithmetic implementations of raster graphics algorithms.

Ion chromatography separates charged analytes by their differential interaction with an ionic stationary phase, most commonly through ion exchange. A liquid mobile phase carries ions through the column, and retention depends on charge, competing eluent ions, and the exchange material.

It can resolve anions such as chloride, nitrate, and sulfate that would otherwise coexist in one aqueous sample. Conductivity is a useful detector, sometimes combined with suppression of the eluent background. A chromatographic peak identifies a retention behavior; quantitative or identity claims require appropriate standards and controls.

Let $q_1,\dots ,q_r$ be distinct prime numbers and $a_1,\dots ,a_r$ positive integers. There are infinitely many positive integers $n$ with $q_i^{a_i}\mid n+i$ for every $i$. Indeed the moduli $q_i^{a_i}$ are pairwise coprime, so the Chinese remainder theorem solves $n\equiv -i(\mathrm{mod}{q}_i^{a_i})$ simultaneously. Adding multiples of their product gives arbitrarily large positive solutions. This allows long runs in which every integer has a large prescribed prime power divisor, even though neighboring integers are coprime.

Choose a primitive root $g$ modulo $p$ and write the nonzero coefficients $3,5,7$ as $g^a,g^b,g^c$. The Chinese remainder theorem gives an exponent $r$ congruent to $a,b,c$ modulo $3,5,7$, respectively. Then $n=g^r$ and the three roots $g^{(r-a)/3}$, $g^{(r-b)/5}$, $g^{(r-c)/7}$ give the displayed common nonzero residue. This technique converts multiplicative power constraints into simultaneous additive modular congruences for exponents.

A primary experimental exposition by Michael Faraday. Inspected text: en.wikisource.org/wiki/The_Chemical_History_of_a_Candle. Relevant locators are Lecture I, wick, melting reservoir and capillary attraction; Lecture II, luminous particles; Lectures III–V, combustion products. The inspected transcription identifies a 1908 new impression; this is distinguished from the original 1861 publication.

Joint advisory issued by United States Environmental Protection Agency, Occupational Safety and Health Administration and Bureau of Alcohol, Tobacco, Firearms and Explosives. Cited section: Decomposition Chemistry, condition dependence, confinement and contaminants.

Institutional chemical data published by the National Institute for Occupational Safety and Health. Inspected Specific Gravity fields: Glycerin, Sulfuric acid, 96–98 percent, Ethyl alcohol and Ethyl ether. Undated data pages as inspected; no modern exposure limits are used in the historical solution.

Institutional primary emergency-response data. Cited section: Agent Properties, liquid density at 25 °C.

Primary patent specification by Henry Bessemer; cited specification and final claim concern air-blast conversion sustained by oxidation of constituents of molten iron.

Unsigned report of the Chemical Society meeting of 20 June 1867, published on 5 July. It describes the ammonia procedure and contemporary criticism of the preliminary distillation's behaviour with gelatin and urea. The report is contemporary evidence for a method available before the December examination, not a modern guarantee of water safety.

Institutional analytical method. Cited §§1–4 address scope and interferences; §§8–9 address sample handling and quality control; §11.3 and §12.2 specify silver titration, the 2:1 cyanide-to-silver ratio, indicator and blank. The rhodanine indicator is presented as a modern comparison, not assigned to 1867.

January–June 1864, p.80, “Note on the Amount of Carbonic Acid contained in the Air of Manchester”: standardized baryta in 7–10 litre globes checked against gravimetric absorption.

Historical apparatus described on pp.84–85; chapter VI contrasts direct angular polarimeters with quartz-wedge compensating saccharimeters. The indexed page text was inspected; the complete scan exceeds the browser's retrieval-size limit. This is a later technical description, not an assertion that a 1912 book was available in 1866.

Institutional chemical data from the National Institute for Occupational Safety and Health. Inspected fields: Physical Description, Molecular Weight, Solubility and Symptoms. Modern hazard and physical-property corroboration, not an 1866 exposure standard.

Institutional Experiment 2–3 laboratory manual. Inspected Introduction and Group II discussion, printed II & III-1–3 and II & III-9–10: analytical grouping, sulfide precipitation, acidity and selectivity. No personal author is established from the inspected byline.

Institutional technical evaluation. Cited pp. 5–6, Evaluation Question 1, preparation method (a): potassium hydroxide and iodine form iodide plus iodate; charcoal treatment reduces the iodate. Used as corroboration of the chemistry, not as an 1866 pharmacopoeial recipe. Regulatory passages in the report are not used as present or historical legal claims.

Textbook by Henry Enfield Roscoe. The inspected 1868 printing, Lesson XV, printed pp. 131–133, describes the bone-ash and acid-phosphate route to phosphorus. Its printing date is retained, and its account is not identified with a pharmacopoeial formula or claimed to establish every detail of an 1866 official process.

The 1866 first publication is separately recorded in the publisher-facing edition record: Other editions lists the 1866 edition.

Primary paper by Gustav Kirchhoff and Robert Bunsen, Annalen der Physik und der Chemie 110, 161–189. The inspected English transcription describes flame conditions, the slit–collimator–prism–telescope apparatus and comparisons of salt spectra.

Digitized primary pamphlet, catalogued approximately 1836, reprinted from Transactions of the Society of Arts, volume 51. Opening pages and description of hydrogen apparatus.