Evaluation terminology
This article is under construction.
Evaluation terminology is technical article loaded in order to prevent at very beginning the potential quarrel between the Editor and ChatGPT about meanings of terms relates to computation, calculation, evaluation of some quantities.
This refers to specification of any objects in terms of numbers.
The topic is very important, at at least for TORI:
the qualification of some object in terms of a quantity seems to be one of the most old tools of the Human civilization.
(And expected to be even more important in the post-Human civilization, when Robots substitute Humans.)
The interpretation by ChatGPT and the interpretation by Editor are suggested below.
This style of organization of a dispute is highly recommended for all cases when at least two subjects plan some mutual, cooperative activity but have different opinions on some topic(s).
Table
| Term | Interpretation by ChatGPT (for TORI) | Interpretation by Editor |
|---|---|---|
| Exact | Defined without approximation; independent of numerical error (e.g. \(\pi\), \(\sqrt{2}\), \(\Gamma(z)\) ) | has definitions that allows the evaluation with any required precision. Speed of light as 299792458m/s is exact. Speed of sound as 343m/s is not exact. |
| Accurate | Close to the exact value (error-oriented) | provides error smaller than usual for this quantity or similar quantities. Mathematical constants and special functions are exact. |
| Precise | Having many correct digits (resolution-oriented) | provides precision sufficient for all possible applications. Frequencies of forbidden atomic spectral lies are precise. Evaluation with a good numeric implementation of a special function is precise. |
| Approximation | A function or value intended to be close to another | Evaluation with precision that may happen to be not sufficient for some application(s), or a number that is intended to be close to some quantity. An approximation may be precise. |
| Asymptotic | An approximation valid in a limiting regime, with a provable dominance relation | Approximation with precision that infinitely improves as some parameter approaches to some value but remains in the allowed range. |
| Estimate | A qualitative or semi-quantitative assessment of size or accuracy | fast, simple, rough, euristc evaluation; to perform such an evaluation. |
| Evaluation | A numerical procedure producing a value (exact or approximate) | action, operation that returns a value (exact or approximate), qualifies a quantity with some specific number |
Linguistic aspect
Sometimes, it is difficult to guess, is word a noun, adjective or verb. In particular, this applies to the terms in the table above.
Here, this difficulty is resolved in the most radical way: in the TORI version of English, any word can be used as noun, as adjective and as a verb. Here are few examples:
Example 1. Estimate.
Noun: Now did you get your estimate?
Adjective: Your data are very estimate.
Verb: We need to estimate at least the order of magnitude of this parameter.
Example 2. Vodka.
Noun: Do you have vodka?
Adjective: This cocktail is very vodka.
Verb: You become alcoholic: You are vodking every evening!
Example 3. Green:
Noun: The greens had organized the big rally; all the Lincoln street had been blocked.
Adjective: Greta Thunberg become too green.
Verb: Smith is creasy about ecology: he often greens with his new friends.
Warning: The similar examples can be constructed with other colors (Black, Yellow, Red, Blue, White, etc.); so, do not blame Editor in Racism or any other kind of Xenophobia.
Semantic aspect
Definitions and descriptions or terms at various encyclopedias, dictionaries, wikis may look smart - until one compares definitions of terms that have similar meanings.
For the reason, the definition of several terms are combined in the same table.
The idea of this article is to distribute the meanings among the terms and distribute terms among the meanings.
Ideally, it would be good to get the bijective relation between the terms and their meanings.
This goal seems to be not achievable. Both Editor and ChatGPT try to approach this goal so close as possible.
Warnings
The definitions and descriptions of the terms mentioned is under construction.
Meanings of the terms considered strongly overlap.
No general recipe is elaborated to chose the most suitable term in each case. Confusion may appear due to the misinterpretation.
No accurate general definitions are elaborated. The supplying of a definition of each term specific for the context may be required.
References
https://dictionary.cambridge.org/dictionary/english/accurate correct, exact, and without any mistakes: ..
https://dictionary.cambridge.org/dictionary/english/approximate not completely accurate but close: ..
https://dictionary.cambridge.org/dictionary/english/estimate to guess or calculate the cost, size, value, etc. of something: .. a guess of what the size, value, amount, cost, etc. of something ..
https://dictionary.cambridge.org/dictionary/english/evaluate to judge or calculate the quality, importance, amount, or value of something:
https://www.merriam-webster.com/dictionary/evaluation determination of the value, nature, character, or quality of something or someone
https://dictionary.cambridge.org/dictionary/english/exact exact adjective UK // in great detail, or complete, correct, or true in every way:..
https://dictionary.cambridge.org/dictionary/english/precise exact and accurate: ..
https://en.wikipedia.org/wiki/Accuracy_and_precision Accuracy and precision are measures of observational error; accuracy is how close a given set of measurements is to the true value and precision is how close the measurements are to each other.
https://en.wikipedia.org/wiki/Estimation Estimation (or estimating) is the process of finding an estimate or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable. ..
https://www.britannica.com/dictionary/estimate estimate (noun) // estimate (verb) // .. a guess that you make based on the information you have about the size, amount, etc., of something..
Keywords
«Accurate», «Approximation», «Asymptotic», «ChatGPT», «Estimate», «Evaluation», «Exact», «Precise», «TORI», «Tool», «Vodka»,