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Islam promotes the golden mean in many instances. The Quran states an example in finance, in that a person should not spend all he makes as not to be caught needing, and not to be stingy as to not live a comfortable life. Muhammad also had a saying "خير الأمور أوسطها" meaning the best choice is the middle ground/golden mean one ...
The golden ratio φ and its negative reciprocal −φ −1 are the two roots of the quadratic polynomial x 2 − x − 1. The golden ratio's negative −φ and reciprocal φ −1 are the two roots of the quadratic polynomial x 2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer.
Mathematicians have studied the golden ratio because of its unique and interesting properties. Other names frequently used for or closely related to the golden ratio are golden section (Latin: sectio aurea ), golden mean , golden number , divine proportion (Italian: proporzionedivina ), divine section (Latin: sectio divina ), golden proportion ...
The golden-section search is a technique for finding an extremum (minimum or maximum) of a function inside a specified interval. For a strictly unimodal function with an extremum inside the interval, it will find that extremum, while for an interval containing multiple extrema (possibly including the interval boundaries), it will converge to one of them.
A special form of the LLN (for a binary random variable) was first proved by Jacob Bernoulli. [10] [3] It took him over 20 years to develop a sufficiently rigorous mathematical proof which was published in his Ars Conjectandi (The Art of Conjecturing) in 1713. He named this his "Golden Theorem" but it became generally known as "Bernoulli's ...
Any non-linear differentiable function, (,), of two variables, and , can be expanded as + +. If we take the variance on both sides and use the formula [11] for the variance of a linear combination of variables (+) = + + (,), then we obtain | | + | | +, where is the standard deviation of the function , is the standard deviation of , is the standard deviation of and = is the ...
Seed oils, including peanut oil and sunflower oil, have been in the news a lot recently. Dietitians explain if seed oils are healthy, and health risks of them.
Golden mean may refer to: Golden mean (philosophy), the felicitous middle between the extremes of excess and deficiency; Golden mean (Judaism), a philosophy pertaining to body and soul in Jewish belief; Golden ratio, a specific mathematical ratio (sometimes called golden mean) Golden ratio (mathematics and visual art)