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Each row corresponds to a change in log (time before present) (that is, the logarithm of the time before the present) of about 0.1 (using base 10 logarithms). The dividing points are taken from the R′′20 Renard numbers. Thus each row represents about 21% of the time from its beginning until the present.
He then called the logarithm, with this number as base, the natural logarithm. As noted by Howard Eves, "One of the anomalies in the history of mathematics is the fact that logarithms were discovered before exponents were in use." [16] Carl B. Boyer wrote, "Euler was among the first to treat logarithms as exponents, in the manner now so ...
The choice of present perfect or past tense depends on the frame of reference (period or point in time) in which the event is conceived as occurring. If the frame of reference extends to the present time, the present perfect is used. For example: I have written a letter this morning. (if it is still the morning) He has produced ten plays.
The present perfect is a grammatical combination of the present tense and perfect aspect that is used to express a past event that has present consequences. [1] The term is used particularly in the context of English grammar to refer to forms like "I have finished".
The aorist participle represents the first event of a two-event sequence and the present participle represents an ongoing event at the time of another event. [25] Perfect verbs stood for past actions if the result is still present (e.g. 'I have found it') or for present states resulting from a past event (e.g. 'I remember').
Compound participles are possible: Present perfect participle: ayant appelé "having called", étant mort "being dead" Passive perfect participle: étant vendu "being sold, having been sold" Usage: Present participles are used as qualifiers as in "un insecte volant" (a flying insect) and in some other contexts. They are never used to form tenses.
Present progressive (progressive, not perfect): "I am eating" Present perfect (not progressive, perfect): "I have eaten" Present perfect progressive (progressive, perfect): "I have been eating" (While many elementary discussions of English grammar classify the present perfect as a past tense, it relates the action to the present time.
The past participle is been, and the present participle and gerund is the regular being. The base form be is used regularly as an infinitive, imperative and (present) subjunctive. For archaic forms, see the next section. English has a number of modal auxiliary verbs which are defective.