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The US fluid ounce is based on the US gallon, which in turn is based on the wine gallon of 231 cubic inches that was used in the United Kingdom prior to 1824. With the adoption of the international inch , the US fluid ounce became 1 ⁄ 128 gal × 231 in 3 /gal × (2.54 cm/in) 3 = 29.5735295625 mL exactly, or about 4% larger than the imperial unit.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
By the end of the 18th century, there were three definitions of the gallon in common use: The corn gallon, or Winchester gallon, of about 268.8 cubic inches (≈ 4.405 L), The wine gallon, or Queen Anne's gallon, which was 231 cubic inches [54] (≈ 3.785 L), and; The ale gallon of 282 cubic inches (≈ 4.622 L).
In 2011, the United States Environmental Protection Agency introduced the gallon gasoline equivalent as a unit of energy because their research showed most U.S. citizens do not understand the standard units. The gallon gasoline equivalent is defined as 33.7 kWh, [84] or about 1.213 × 10 8 joules.
Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein's formula = is the quantitative representation in mathematical notation of mass–energy equivalence. [1]
In the standard system the conversion is that 1 gallon = 231 cubic inches and 1 inch = 2.54 cm, which makes a gallon = 3785.411784 millilitres exactly. For nutritional labeling on food packages in the US, the teaspoon is defined as exactly 5 ml, [22] giving 1 gallon = 3840 ml exactly. This chart uses the former.
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A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]