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Page "Chain rule" ¶ 14
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simplest and form
In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are all equal, and therefore generalizes t-test to more than two groups.
In its simplest form, the assumption of unit-treatment additivity states that the observed response from experimental unit when receiving treatment can be written as the sum of the unit's response and the treatment-effect, that is
Orbitals of multi-electron atoms are qualitatively similar to those of hydrogen, and in the simplest models, they are taken to have the same form.
The simplest acyclic alkenes, with only one double bond and no other functional groups, form an homologous series of hydrocarbons with the general formula C < sub > n </ sub > H < sub > 2n </ sub >.
Dark energy in its simplest formulation takes the form of the cosmological constant term in Einstein's field equations of general relativity, but its composition and mechanism are unknown and, more generally, the details of its equation of state and relationship with the Standard Model of particle physics continue to be investigated both observationally and theoretically.
* In its simplest form, BCS gives the superconducting transition temperature in terms of the electron-phonon coupling potential and the Debye cutoff energy:
In its simplest form, this is a three column list.
The description of the basic operation of a CPU offered in the previous section describes the simplest form that a CPU can take.
This is the simplest form of a technique known as instruction pipelining, and is utilized in almost all modern general-purpose CPUs.
The bowl-shaped outflow is the simplest form of a water clock and is known to have existed in Babylon and in Egypt around the 16th century BC.
More complex formulas and procedures apply for such cases, but in its simplest form the critical buckling load formula is given as Equation ( 3 ),
Based on this argument, the privileged frame, wherein the laws of physics take on the simplest form, is a stationary frame in which no fictitious forces need to be invoked.
The simplest form of index is a sorted list of values that can be searched using a binary search with an adjacent reference to the location of the entry, analogous to the index in the back of a book.
The simplest form of index is a sorted list of values that can be searched using a binary search with an adjacent reference to the location of the entry, analogous to the index in the back of a book.
The simplest infinite family are the pyramids of n sides and of canonical form.
Driven by gunpowder, this, the simplest form of internal combustion engine was unable to deliver sustained power, but was useful for propelling weaponry at high speeds towards enemies in battle and for fireworks.
In its simplest form, Euclid's algorithm starts with a pair of positive integers and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers.
The simplest form of Euclid's algorithm starts with a pair of positive integers and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers.
The simplest visual form of fingerspelling is tracing the shape of letters in the air, or tactually, tracing letters on the hand.
The simplest form of effective fan to cool a shelter is a wide, heavy frame with flaps that swing in the shelter's doorway and can be swung from hinges on the ceiling.
In its simplest form, there is a tray above a reservoir of nutrient solution.
This may be done in its simplest form, by manually applying a nutrient-and-water solution one or more times per day in a container of inert growing media, such as rockwool, perlite, vermiculite, coco fibre, or sand.
The advantage of the California form interrogatories is that they do not count against the limit of 35 ; the disadvantage is that they are written in a very generic fashion, so about half of the questions are useful only in the simplest cases.
Indeed, an intuitive summary of inertial frames can be given as: In an inertial reference frame, the laws of mechanics take their simplest form.

simplest and chain
The simplest generalization of the chain rule to higher dimensions uses the total derivative.
The simplest kind found in the electron transfer chain consists of two iron atoms joined by two atoms of inorganic sulfur ; these are called clusters.
In its simplest form, the length of a chain is the number of links between a trophic consumer and the base of the web.
The simplest possible polymer model is presented by the ideal chain, corresponding to a simple random walk.
The freely-jointed chain is the simplest model of a polymer.
* Ideal chain, in science, the simplest model describing a polymer
Reflex circuits vary in complexity — the simplest spinal reflexes are mediated by a three-element chain, beginning with sensory neurons which activate interneurons in the spinal cord, which then activate motor neurons.
In the simplest of the looped stitches, the chain stitch, the needle comes up from the back of the fabric and then the needle goes back into the same hole it came out of, pulling the loop of thread almost completely through to the back ; but before the loop disappears, the needle come back up ( a certain distance from the beginning stitch-the distance deciding the length of the stitch ), passes through the loop and prevents it from being pulled completely to the back of the fabric.
The simplest forwarding model — unicasting — involves a packet being relayed from link to link along a chain leading from the packet's source to its destination.
The simplest design consists of a short post or chain connecting two disc-shaped parts.
A four-bar linkage, also called a four-bar, is the simplest movable closed chain linkage.
An ideal chain ( or freely-jointed chain ) is the simplest model to describe a polymer.

simplest and rule
The simplest method is to apply just one earning rule, such as the 0 / 100 rule, to all activities.
For any inertial frame, the Coriolis force and the centrifugal force disappear, so application of the principle of special relativity would identify these frames where the forces disappear as sharing the same and the simplest physical laws, and hence rule that the rotating frame is not an inertial frame.
In its simplest form, l ' Hôpital's rule states that for functions and which are differentiable on
There are several ways to define the result of a rule, but one of the most common and simplest is the " max-min " inference method, in which the output membership function is given the truth value generated by the premise.
The simplest iptables firewall consists of rules for each desired service, followed by a rule which indicates that any packets which reach this rule are dropped.
The simplest handicap is to eliminate the pie rule.
The simplest and oldest rule for determining a non-informative prior is the principle of indifference, which assigns equal probabilities to all possibilities.
The simplest description of the correspondence is using the Schensted algorithm, a procedure that constructs one tableau by successively inserting the values of the permutation according to a specific rule, while the other tableau records the evolution of the shape during construction.
It is not only the most important rule, but the simplest.
Using Born's rule, one can derive the simplest form of quantum tomography.
In its simplest form, it is the same rule as subclass inheritance preempting class inheritance:

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