Colloquial uses of the term " market failure " reflect the notion of a market " failing " to provide some desired attribute different from efficiency – for instance, high levels of inequality can be considered a " market failure ", yet are not Pareto inefficient, and so would not be considered a market failure by mainstream

The desired inequality follows from dividing the above inequality by g ( t ).

and since the summands are all ≥ 0, we get the desired inequality, with equality if and only if a < sub > n </ sub >

The infinity norm of a matrix is the maximum of row sums: Hence the desired inequality is exactly || A ||< sub >∞</ sub > ≥ | λ | applied to non-negative matrix A.

So the inequality above excludes the basic feasible solution and thus is a cut with the desired properties.

Upon completion of the purging step, additional initiator appropriate for the molecular weight of the sample desired is added, and the system is then warmed to the polymerization temperature, at which the reaction is allowed to go to completion.

One method of accomplishing this moor is to set a bow anchor normally, then drop back to the limit of the bow cable ( or to double the desired scope, e. g. 8: 1 if the eventual scope should be 4: 1, 10: 1 if the eventual scope should be 5: 1, etc.

They are then exposed to a virus carrying the desired gene.

This is then cut into bricks of the desired length by a wall of wires.

:" Ansgar then undertook the mission committed to him by the emperor, who desired that he should go to the Swedes and discover whether this people was prepared to accept the faith as their messengers had declared.

The process could then be repeated by dividing the resulting smaller interval into smaller and smaller parts until it closes down on the desired limit point.

Methods for dealing with them tend to fall into one of two categories – either make the ceramic in the desired shape, by reaction in situ, or by " forming " powders into the desired shape, and then sintering to form a solid body.

Thus, the goal of a conditional proof is to demonstrate that if the CPA were true, then the desired conclusion necessarily follows.

These thin pieces were then pulled through a draw plate repeatedly until the desired diameter was achieved.

These professionals can then gather information and use it at their preference, developing a system that allows users to easily access desired information and is secure and trusted by its users.

If the signal matches the desired user's code then the correlation function will be high and the system can extract that signal.

To create the desired curve, the shape of a hanging chain of the desired dimensions is transferred to a form which is then used as a guide for the placement of bricks or other building material.

Penn strongly desired access to the sea for his Pennsylvania province and leased what then came to be known as the " Lower Counties on the Delaware " from the Duke.

The symbol is then encoded, or converted into a number, based on the status of modifier keys and the desired character encoding.

If a petrol engine were to have the same compression ratio, then knocking ( self-ignition ) would occur and this would severely reduce the efficiency, whereas in a Diesel engine, the self ignition is the desired behavior.

) Apparently a complete break was desired from system of backheeling, and the T formation having gone into eclipse in American football at the time, the Canadian snap was modeled on the formations then in common use in the USA, such as the single wing.

# Some of the contents of the container are then blended until liquid, depending on the desired consistency.

What is needed is a form of heat treatment called differential hardening, where heat is carefully applied to part of the case until the desired softness is reached, and then the heat treatment process is halted by rapidly cooling the case.

Another approach is to immerse the case mouth in a molten alloy of lead that is at the desired annealing temperature for a few seconds, then quickly shake off the lead and quench the case.

If deceleration on arrival is desired and cannot be achieved by other means than by engines of the ship, then the required energy at least doubles.

Similarly, Samuel Pepys in his diary entry for 15 August 1665 records a dream " that I had my Lady Castlemayne in my arms and was admitted to use all the dalliance I desired with her, and then dreamt that this could not be awake, but that it was only a dream ".

We then seek to fill this incompleteness through the baring and caressing of the desired gender.

Cells may be exposed to UV radiation or mutagenic chemicals, and mutants with desired characteristic are then selected.

Many students of democracy have desired to improve education in order to improve the quality of governance in democratic societies ; the necessity of good public education follows logically if one believes that the quality of democratic governance depends on the ability of citizens to make informed, intelligent choices, and that education can improve these abilities.

The idea is that a point with position vector is in the plane if and only if the vector drawn from to is perpendicular to n. Recalling that two vectors are perpendicular if and only if their dot product is zero, it follows that the desired plane can be expressed as the set of all points r such that

It follows that one ends up " chasing " elements around the diagram, until the desired element or result is constructed or verified.

The doctrine which The United Irishman was to follow was stated as follows: " that the Irish people had a distinct and indefeasible right to their country, and to all the moral and material wealth and resources thereof, to possess, to govern the same, for their own use, maintenance, comfort and honour, as a distinct Sovereign State ; that it was within their power and their manifest duty to make good and exercise that right ; that the life of one peasant was as precious as the life of one nobleman or gentleman ; that the property of the farmers and labourers of Ireland was as sacred as the property of all the noblemen and gentlemen in Ireland, and also immeasurably more valuable ; that the Tenant Right custom should be extended to all Ulster, and adopted and enforced by common consent in the other three provinces ; that every man who paid taxes should have an equal voice with every other man in the government of the State and the outlay of those taxes ; that no man at present had any ' legal ' rights or claim to the protection of any law and that all ' legal ' and constitutional agitation in Ireland was a delusion ; that every freeman, and every man who desired to become free, ought to have arms, and to practise the use of them ; that no ' combination of classes ' in Ireland was desirable, just, or possible save on the terms of the rights of the industrious classes being acknowledged and secured ; and that no good thing could come from the English Parliament or the English Government ".

Brennan's system implemented this idea in a partially automated fashion as follows: the operator was required to input a frontal drawing of the desired person having a standardized topology ( the number and ordering of lines for every face ).

We can then use the n < sup > th </ sup > backward vector to eliminate the error term and replace it with the desired formula as follows:

Formally, the problem can be stated as follows: given a desired property, expressed as a temporal logic formula p, and a structure M with initial state s, decide if.

In fact, any desired value A can be obtained for this indeterminate form as follows:

# Finally, the player follows through, ending up with the stick pointed towards the desired target.

But if exact values for large factorials are desired, then special software is required, as in the pseudocode that follows, which implements the classic algorithm to calculate 1, 1 × 2, 1 × 2 × 3, 1 × 2 × 3 × 4, etc.

... His ideas reverberated throughout the British press " and had the desired effect that, " whatever happens, these colonies can never be returned to Germany, and it follows as an almost inevitable corollary ... they should remain with us the Allies.

The inscription loosely follows the pattern of the Merseburg Incantations, divided into two complementary parts, but where the Merseburger invokes a mythic event and calls for an exorcistic repetition, the Eggja composer seems to twice invoke a ritual, the first time listing two desired outcomes, in the second instance asking a question and answering it.

A strong black tea ( e. g. Ceylon ) is brewed at length in a metal pot over a burner, and prepared as follows: a large glass is filled with ice, a scoop of simple syrup is added ( if desired ), and the glass is filled to the top with hot tea.

For this reason a separation process, such as distillation, often follows a chemical reactor in order to separate any remaining reagents or byproducts from the desired product.

To initialize the inchworm motor the clutching piezo closest to the direction of desired motion ( which then becomes the forward clutch piezo ) is electrified first then the six step cycle begins as follows ( see Figure 2.