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For example, in the fraction 3 / 4 , the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates 3 / 4 of a cake. Fractions can be used to represent ratios and division. [1]
Hydraulic fracturing uses between 1.2 and 3.5 million US gallons (4,500 and 13,200 m 3) of water per well, with large projects using up to 5 million US gallons (19,000 m 3). [171] Additional water is used when wells are refractured. [75] [172] An average well requires 3 to 8 million US gallons (11,000 to 30,000 m 3) of water over its lifetime. [67]
The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
Eleanor Dickey summarizes the most important three, identified by letter as A, bT, and D. [3] A, "the Venetian scholia", are the scholia of Venetus A, a major manuscript of the Iliad, dated to the 10th century, and located in the Biblioteca Marciana (Library of St. Mark's) of Venice. The sources of the scholia are noted at the end of each book.
Hasan ibn Ali ibn Muhammad (Arabic: الحَسَن بْن عَلِيّ بْن مُحَمَّدُ, romanized: al-Ḥasan ibn ʿAlī ibn Muḥammad; c. 846–874), better known as Hasan al-Askari (Arabic: الحَسَن ٱلْعَسْكَرِيّ, romanized: al-Ḥasan al-ʿAskarī), was a descendant of the Islamic prophet Muhammad.
The technical answer to (a) has long been known: GNSSs are a variety (or sub-species) of multilateration navigation systems having moving transmitters. [3] [4] However, because the transmitters are synchronized not only with each other but also with a time standard, GNSS receivers are also sources of timing information. This requires different ...
This median-effect equation, i.e. = where fa + fu = 1, is the unified form for the Michaelis-Menten equation for enzyme substrate saturation, the Hill equation for ligand occupancy at high order, the Henderson-Hasselbalch equation for pH ionization, and the Scatchard equation for the receptor binding. Thus, the half-affected (Dm) is equivalent ...