For example, one application of biotechnology is the directed use of organisms for the manufacture of organic products ( examples include beer and milk products ).

An example of this is the engineering of a plant to express a pesticide, thereby ending the need of external application of pesticides.

Biomedical instrumentation amplifier schematic used in monitoring low voltage biological signals, an example of a biomedical engineering application of electronic engineering to electrophysiology.

An MRI scan of a human head, an example of a biomedical engineering application of electrical engineering to diagnostic imaging.

A prosthetic eye, an example of a biomedical engineering application of mechanical engineering and biocompatible material s to ophthalmology.

Some apps such as Microsoft Office are available in versions for several different platforms ; others have narrower requirements and are thus called, for example, a Geography application for Windows or an Android application for education or Linux gaming.

Another application of category theory, more specifically: topos theory, has been made in mathematical music theory, see for example the book The Topos of Music, Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola.

Advancements in biochemical engineering in the 1940s, for example, found application in the pharmaceutical industry, and allowed for the mass production of various antibiotics, including penicillin and streptomycin.

A notable example of this is the way OpenGL treats the video card of a computer as a server, with the actual application making rendering requests to it.

The practical motivation for partial application is that very often the functions obtained by supplying some but not all of the arguments to a function are useful ; for example, many languages have a function or operator similar to.

Partial application makes it easy to define these functions, for example by creating a function that represents the addition operator with 1 bound as its first argument.

This is especially true if the data is to undergo further processing ( for example editing ) in which case the repeated application of processing ( encoding and decoding ) on lossy codecs will degrade the quality of the resulting data such that it is no longer identifiable ( visually, audibly or both ).

The ISO 8601 standard also has the advantage of being language independent and is therefore useful when there may be no language context and a universal application is desired ( expiration dating on export products, for example ).

Siting weapons this way is an example of the application of the defensive principle of mutual support.

Another way is by their application area, for example: accounting, music compositions, movies, banking, manufacturing, or insurance.

This aims to avoid the overhead ( sometimes referred to as the impedance mismatch ) of converting information between its representation in the database ( for example as rows in tables ) and its representation in the application program ( typically as objects ).

For example, changes in the internal level do not affect application programs written using conceptual level interfaces, which saves substantial change work that would be needed otherwise.

E-mail became the most successful application of ARPANET, and it is probably the earliest example of a large-scale distributed application.

To give an example: he applied for membership of the Académie Française twice, leaving no doubt in the application letter that the board of that organisation ( presided by Camille Saint-Saëns ) as much as owed him such membership.

An example of the application of expert systems in the financial field is expert systems for mortgages.

The first and most necessary part of philosophy concerns the application of doctrine, for example, that people should not lie ; the second concerns reasons, e. g. why people should not lie ; while the third, lastly, examines and establishes the reasons.

An example of modern paleontological progress is the application of synchrotron X-ray tomographic techniques to early Cambrian bilaterian embryonic microfossils that has recently yielded new insights of metazoan evolution at its earliest stages.

To understand the application of the organic principle to questions of value, it is perhaps best to consider Moore ’ s primary example, that of a consciousness experiencing a beautiful object.

The Gini coefficient measures the inequality among values of a frequency distribution ( for example levels of income ).

A Gini coefficient of one ( 100 on the percentile scale ) expresses maximal inequality among values ( for example where only one person has all the income ).

The social inequality has risen sharply during the 1990s with the Gini coefficient, for example, reaching 42 % by the end of 2010.

The top example shows the case when there is a clear inequality and the bottom example shows the case when the third side, z, is nearly equal to the sum of the other two sides x + y.

There are some problems in both NP and co-NP, for example all problems in P or integer factorization, however it is not known if the sets are equal, although inequality is thought more likely.

However, countries have applied neoliberal policies at varying levels of intensity ; for example, the OECD ( Organisation for Economic Cooperation and Development ) has calculated that only 6 % of Swedish workers are beset with wages it considers low, and that Swedish wages are overall lower due to their lack of neoliberal policies John Schmitt and Ben Zipperer ( 2006 ) of the CEPR have analyzed the effects of intensive Anglo-American neoliberal policies in comparison to continental European neoliberalism, concluding " The U. S. economic and social model is associated with substantial levels of social exclusion, including high levels of income inequality, high relative and absolute poverty rates, poor and unequal educational outcomes, poor health outcomes, and high rates of crime and incarceration.

The inequality has great utility because it can be applied to completely arbitrary distributions ( unknown except for mean and variance ), for example it can be used to prove the weak law of large numbers.

This example should be treated with caution as the inequality is only stated for probability distributions rather than for finite sample sizes.

Examples 1, 3, and 4 are equations, while example 2 is an inequality.

In many ways p-adic analysis is less subtle than classical analysis, since the ultrametric inequality means, for example, that convergence of infinite series of p-adic numbers is much simpler.

Economic inequality varies between societies and historical periods ; between economic structures or systems ( for example, capitalism or socialism ), ongoing or past wars, and differences in individuals ' abilities to create wealth are all involved in the creation of economic inequality.

This is a good example of spatial inequality.

In it, Modrzewski criticized the inequality prescribed by the law for different social classes: for example, while the penalty for killing a nobleman ranged from 120 grzywna – through life imprisonment – to death, the penalty for killing a peasant was only 10 grzywna.

For example, in an economy composed of two people, Mr. Smith and Mrs. Jones, where one of them has 60 % of the income and the other 40 %, the inequality metric should be the same whether it is Mr. Smith or Mrs. Jones who has the 40 % share.

For example, the Theil index of overall income inequality can be decomposed in the between-region and within region components of inequality, while the relative share attributable to the between-region component suggests the relative importance of spatial dimension of income inequality.

For example, in the chart at right, US income share of top earners was approximately constant from the mid 1950s to the mid 1980s, then increased from the mid-1980s through 2000s ; this increased inequality was reflected in the Gini coefficient.

An important example of a compact operator is compact embedding of Sobolev spaces, which, along with the Gårding inequality and the Lax – Milgram theorem, can be used to convert an elliptic boundary value problem into a Fredholm integral equation.

This loophole changes the inequalities to be used, for example the CHSH inequality:

The example shows that this inequality can be strict in general.

An example application is that Young's inequality can be used to show that the heat semigroup is a contraction semigroup using the L < sup > 2 </ sup > norm.