The Indian mathematician Aryabhata is credited with inventing positional notation, which allowed for more advanced computations without the need for an abacus. This system, known as the Hindu-Arabic numeral system, eventually spread to the Arab world and Europe, revolutionizing mathematics and arithmetic.
The hot plate was invented in the early 20th century, around the 1920s. It was developed as a portable alternative for cooking and heating food without requiring a stove.
The use of base 10 is not as critical to a system of measurement as the use of positional notation. For example, in Roman numerals 1999 is MCCCCCCCCCLXXXXVIIII, which is very cumbersome and does not lend itself to rapid mental calculations. However, base 10 combined with positional notation allows for easy conversion without much effort or memorizing a long list of factors. For example, 1000 mm (39.37 inches) is 1 m (1.094 yards), 1000 m (1094 yards) is 1 km (0.62 miles), while 36 inches (914.4 mm) is 1 yard (0.9144 m), 1760 yd (1609 m) is 1 mile (1.609 km). Also, base 10 measurements allow for easy multiplication. For example, the density of water is 1000 kg per 1000 L or 1000 kg per 1 m³. If you want to know how much one 'cc' (cubic centimeter) of water weights, then it is 0.01 m³ * 0.01 m³ * 0.01 m³ = 0.000001 m³ * 1000 kg = 0.001 kg = 1 g. Whereas, converted from cubic yards to cubic inches to pounds to ounces to drams is 1684.8 * 1/36 * 1/36 * 1/36 * 2.311 * 16 *16 = 21.363911 dram.
Zacharias Jansen invented the microscope. Without it scientists couldn't observe cells.
Re-positional adhesive used mainly in Scrapbooking
well, give me the voltage and I'll compute it. You can not figure this out without the voltage.
The positional notation system that allows for efficient computation without an abacus was developed by Indian mathematicians, with significant contributions from Brahmagupta in the 7th century and later by Bhaskara II in the 12th century. This system uses a place value system and the concept of zero, which greatly simplified arithmetic operations. It was later transmitted to the Islamic world and then to Europe, forming the basis of modern numeral systems.
For positional place value purposes would be impossible without it.
without numbers how can we compute
Without Mesopotamian inventions, we may not have had sailboats, musical notation, calanders, and even the wheel!
Without Mesopotamian inventions, we may not have had sailboats, musical notation, calanders, and even the wheel!
It is not possible. The side of an angle can be extended without limit - or reduced.
Yes, a numeration system can be positional without being place-value. In a positional system, the position of a digit affects its contribution to the overall value, but a place-value system specifically assigns values to positions based on powers of a base. An example of a positional system that is not place-value could involve using different bases for different positions, where each position's significance does not adhere to a uniform exponential scale.
permutation without replacement
Tt's impossible to answer this without the notation.
For multiple subsequent authors use the notation (without quotation marks) "et al.".
Scientific notation is a way to signify really long numbers without writing it out in full, all 50 digits. 1,000,000,000 in scientific notation is 1.00 X 109
10,000 (or without the comma, if you prefer. )