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Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Students then solve mathematical problems in an abstract way by using numbers and symbols. [6] The development of Singapore math began in the 1980s when Singapore's Ministry of Education developed its own mathematics textbooks that focused on problem solving and developing thinking skills.
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
The points in focus (2) project points onto the image plane (5), but points at different distances (1 and 3) project blurred images, or circles of confusion. Decreasing the aperture size ( 4 ) reduces the size of the blur spots for points not in the focused plane, so that the blurring is imperceptible, and all points are within the DOF .
The first permanent photograph, a contact-exposed copy of an engraving, was made in 1822 using the bitumen-based "heliography" process developed by Nicéphore Niépce.The first photographs of a real-world scene, made using a camera obscura, followed a few years later at Le Gras, France, in 1826, but Niépce's process was not sensitive enough to be practical for that application: a camera ...
Digital photography advanced the use of photos for communication and identity rather than as a means of remembering. [42] Widespread access to digital photography has greatly influenced social behavior. The phrase "pics or it didn't happen" reflects the notion that one's life experiences can only be verified by others through photographs. [43]
Landscape photography (often shortened to landscape photos) shows the spaces within the world, sometimes vast and unending, but other times microscopic. Landscape photographs typically capture the presence of nature but can also focus on human-made features or disturbances of landscapes. Landscape photography is done for a variety of reasons.
Color photography (also spelled as colour photography in Commonwealth English) is photography that uses media capable of capturing and reproducing colors. By contrast, black-and-white or gray- monochrome photography records only a single channel of luminance (brightness) and uses media capable only of showing shades of gray .
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