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describes the relationship between x, y and h, for a right triangle. Differentiating both sides of this equation with respect to time, t, yields. Step 3: When solved for the wanted rate of change, dy / dt, gives us. Step 4 & 5: Using the variables from step 1 gives us: Solving for y using the Pythagorean Theorem gives:
The chain-ladder or development[1] method is a prominent [2][3] actuarial loss reserving technique. The chain-ladder method is used in both the property and casualty [1][4] and health insurance [5] fields. Its intent is to estimate incurred but not reported claims and project ultimate loss amounts. [5] The primary underlying assumption of the ...
A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. [1] It graphically depicts the ratios of the three variables as positions in an equilateral triangle. It is used in physical chemistry, petrology, mineralogy, metallurgy, and other physical sciences to ...
Triangular arbitrage opportunities may only exist when a bank's quoted exchange rate is not equal to the market's implicit cross exchange rate. The following equation represents the calculation of an implicit cross exchange rate, the exchange rate one would expect in the market as implied from the ratio of two currencies other than the base currency.
The accident triangle, also known as Heinrich's triangle or Bird's triangle, is a theory of industrial accident prevention. It shows a relationship between serious accidents, minor accidents and near misses. This idea proposes that if the number of minor accidents is reduced then there will be a corresponding fall in the number of serious ...
Theo Jansen's linkage. When the blue line at the right end of the picture is driven in a clockwise rotary motion, the leg (blue triangle at the bottom) executes a walking motion. Relative (dimensionless) proportions shown. Theo Jansen's kinetic sculpture Strandbeest. A wind-driven walking machine. A Strandbeest in action
The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial. which has roots and As the root of a quadratic polynomial, the golden ratio is a constructible number.
Degree of reaction (R) is an important factor in designing the blades of a turbine, compressors, pumps and other turbo-machinery. Various definitions exist in terms of enthalpies, pressures or flow geometry of the device. In case of turbines, both impulse and reaction machines, Degree of reaction (R) is defined as the ratio of energy transfer ...
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