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The Buteyko method emphasizes the role of carbon dioxide and hyperventilation in respiratory diseases as well as overall health. It is known that hyperventilation can lead to low carbon dioxide levels in the blood (or hypocapnea), which can subsequently lead to disturbances of the acid-base balance in the blood and lower tissue oxygen levels.
Hilbert's eighth problem is one of David Hilbert's list of open mathematical problems posed in 1900. It concerns number theory , and in particular the Riemann hypothesis , [ 1 ] although it is also concerned with the Goldbach conjecture .
The 6th problem concerns the axiomatization of physics, a goal that 20th-century developments seem to render both more remote and less important than in Hilbert's time. Also, the 4th problem concerns the foundations of geometry, in a manner that is now generally judged to be too vague to enable a definitive answer.
An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [ 1 ] The student of arithmetic who has mastered the first four rules of his art and successfully striven with sums and fractions finds himself confronted by an unbroken expanse of questions known as problems.
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 .
In mathematics, Hilbert's fourth problem in the 1900 list of Hilbert's problems is a foundational question in geometry.In one statement derived from the original, it was to find — up to an isomorphism — all geometries that have an axiomatic system of the classical geometry (Euclidean, hyperbolic and elliptic), with those axioms of congruence that involve the concept of the angle dropped ...
The Papworth method is a specific diaphragmatic breathing technique that was developed in the 1960s. The technique emphasises nose breathing and the development of a breathing pattern to suit current activity. It also involves relaxation exercises that, in concert with the breathing technique, have been purported to aid depression and anxiety.
The text of the example runs like this: "If you are told: a truncated pyramid of 6 for the vertical height by 4 on the base by 2 on the top: You are to square the 4; result 16. You are to double 4; result 8. You are to square this 2; result 4. You are to add the 16 and the 8 and the 4; result 28. You are to take 1/3 of 6; result 2.