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chain and rule
In several texts, the luminary Eleleth is the last of the luminaries ( Spiritual Lights ) that come forward, and it is the Aeon Sophia, associated with Eleleth, who encounters darkness and becomes involved in the chain of events that leads to the Demiurge's rule of this world, and the salvage effort that ensues.
The material derivative of, using the chain rule, is then
In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.
That is, if f is a function and g is a function, then the chain rule expresses the derivative of the composite function in terms of the derivatives of f and g.
In integration, the counterpart to the chain rule is the substitution rule.
The chain rule seems to have first been used by Leibniz.
The common notation of chain rule is due to Leibniz.
L ' Hôpital uses the chain rule implicitly in his Analyse des infiniment petits but also does not state it explicitly.
The chain rule does not appear in any of Leonhard Euler's analysis books, even though they were written over a hundred years after Leibniz's discovery.
The utility of the chain rule is that it turns a complicated derivative into several easy derivatives.
The chain rule states that, under appropriate conditions,
In the statement of the chain rule, f and g play slightly different roles because f ′ is evaluated at g ( t ) whereas g ′ is evaluated at t. This is necessary to make the units work out correctly.
The factor g ′( 10 ) in the chain rule is the velocity of the skydiver ten seconds after his jump, and it is expressed in meters per second.
The simplest form of the chain rule is for real-valued functions of one real variable.
It may be possible to apply the chain rule even when there are no formulas for the functions which are being differentiated.
To find the temperature drop per hour, we apply the chain rule.
The chain rule says that the derivative of the composite function is the product of the derivative of f and the derivative of g. This is.
The chain rule can be applied to composites of more than two functions.
The chain rule says that to compute the derivative of, it is sufficient to compute the derivative of f and the derivative of.
The derivative of f can be calculated directly, and the derivative of can be calculated by applying the chain rule again.
The chain rule says that the derivative of their composite at the point is:
Another way of computing this derivative is to view the composite function as the composite of and h. Applying the chain rule to this situation gives:
The chain rule can be used to derive some well-known differentiation rules.

chain and gives
This continues until all the remaining ( potential ) boxes are joined together into chains – groups of one or more adjacent boxes in which any move gives all the boxes in the chain to the opponent.
Each week, Ice-T gives them assignments and they compete for an imitation gold chain with a microphone on it.
Every LORAN chain in the world uses a unique Group Repetition Interval, the number of which, when multiplied by ten, gives how many microseconds pass between pulses from a given station in the chain.
Its customer base gives it a 45 percent share of the grocery market in Illinois, trailed by the Safeway Inc .- owned Dominick's chain ( ranking second at 15 percent ).
Fast food chain Jack in the Box is another major sponsor, the company gives all fans in attendance at home games a coupon for two free tacos if the Lakers hold their opponent under 100 points and win.
Even a dinghy should have a length of chain attached to the anchor-the same length as the dinghy. The warp then attaches to the short chain with awired shackle. This gives added weight and help in setting an anchor. It also stops the warp fraying on sharp rocks when the dinghy swings to and fro with the tide.
of chain complexes gives rise to a long exact sequence of homology groups
1 /( cos x )< sup > 2 </ sup >, then u differentiates to 1 / tan x using the chain rule and v integrates to tan x ; so the formula gives:
The hairy man gives Tristran a new outfit, a silver chain like the one used to imprison Una, and a candle-stub which allows one to travel great distances quickly while it burns, which he explains by referencing the nursery rhyme " How Many Miles to Babylon?
Since F and g are differentiable, the chain rule gives
At the eastern end of the Buochser See, where the containing walls of the lake-valley are directed from east to west, it is joined at an acute angle by the Bay of Uri, or Urner See, lying in the northern prolongation of the deep cleft that gives a passage to the Reuss, between the Bernese chain and the Alps of N. Switzerland.
Holiday Inn chain gives itself a face-lift.
Thus, given an eigenvalue λ, its corresponding Jordan block gives rise to a Jordan chain.
This gives the same homology computation above, as the chain complex is exact at all terms
( For example, Hercules defeats the Lion in one punch before Murtis gives it a Mask of Vulcan to help it, and the Boar is already bound by a silver chain, with Hercules stopping first Murtis and later Dedaelus from freeing it ).
The chain of activities gives the products more added value than the sum of the independent activities ' values.
This value chain gives a framework on which a useful analysis can be hung.
Figure No. 2, Value Chain: Key Activities, gives a brief example of a typical analysis of a value chain for a manufacturing company.
The table below shows the relationship between English and Low German consonants which were unaffected by this chain shift and gives the modern German counterparts, which were affected by the sound shift.
He also gives his name to the Pappus chain, and to the Pappus configuration and Pappus graph arising from his hexagon theorem.
In general this gives a non-stationary Markov process, but each individual step will still be reversible, and the overall process will still have the desired stationary distribution ( as long as the chain can access all states under the fixed ordering ).

0.691 seconds.