Abstraction in mathematics is the process of extracting the underlying essence of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.

He pointed out that implicit in the early Buddhist concept of dependent origination is the lack of any substantial being ( anatta ) underlying the participants in origination, so that they have no independent existence, a state identified as emptiness ( śūnyatā ), or emptiness of a nature or essence ( svabhāva ).

The underlying concept can be traced back to 1864 in the published work of George Perkins Marsh (" Man and Nature ").

Hypertext is the underlying concept defining the structure of the World Wide Web.

The philosophy of human rights attempts to examine the underlying basis of the concept of human rights and critically looks at its content and justification.

: The knowledge base underlying the INTERNIST system is composed of two basic types of elements: disease entities and manifestations .... also contains a ... hierarchy of disease categories, organized primarily around the concept of organ systems, having at the top level such categories as " liver disease ," " kidney disease ," etc.

The original surface micromachining concept was based on thin polycrystalline silicon layers patterned as movable mechanical structures and released by sacrificial etching of the underlying oxide layer.

The underlying concept of the poet as creator is not uncommon, and some modernist poets essentially do not distinguish between the creation of a poem with words, and creative acts in other media.

The underlying concept is that their head height may never be equal to that of their superior.

In the related concept of overfitting, excessively complex models are affected by statistical noise ( a problem also known as the bias-variance trade-off ), whereas simpler models may capture the underlying structure better and may thus have better predictive performance.

The underlying concept is that such students need specific guidance to be able to analyze case studies.

The underlying concept is that with enough practice ( hundreds of case analyses ) students develop intuitive skills for analyzing and resolving complex business situations.

There is no real difference in the genetic processes underlying artificial and natural selection, and the concept of artificial selection was used by Charles Darwin as an illustration of the wider process of natural selection.

The concept that insulin resistance may be the underlying cause of diabetes mellitus type 2 was first advanced by Prof. Wilhelm Falta and published in Vienna in 1931, and confirmed as contributary by Sir Harold Percival Himsworth of the University College Hospital Medical Centre in London in 1936.

This concept is largely fuzzy and unclear in earlier stories depicting very rudimentary robots who are only programmed to comprehend basic physical tasks, where the Three Laws act as an overarching safeguard, but by the era of The Caves of Steel featuring robots with human or beyond-human intelligence the Three Laws have become the underlying basic ethical worldview that determines the actions of all robots.

The tool's underlying concept and data were published in various scientific publications.

The primary concept underlying Dōgen's Zen practice is " oneness of practice-enlightenment " ( 修證一如 shushō-ittō / shushō-ichinyo ).

Because it was the first major typesetting program to incorporate the concept of an implicit " underlying page " frame, and one of the first to incorporate a strong " style sheet " concept, Ventura Publisher produces documents with a high degree of internal consistency, unless specifically overridden by the user.

The underlying concept is that early intervention through play with adapted toys and technology can teach disabled children to deal with the " normal " world.

If the concept of belief is incoherent, then any attempt to find the underlying neural processes that support it will fail.

The concept of ki underlying Reiki is speculative and there is no scientific evidence that it exists ; a 2008 systematic review of randomised clinical trials concluded that " the evidence is insufficient to suggest that reiki is an effective treatment for any condition.

This concept provided scholarly substance for explaining the underlying Indian-ness of apparently divergent cultural and linguistic patterns.

In his autobiographical work Ecce Homo, Nietzsche states that the book's underlying concept is discussed within " the penultimate section of the fourth book " of ' The Gay Science ' ( Ecce Homo, Kaufmann ).

A similar technology called NAPLPS was also considered, and although it became the underlying graphics technology behind the Prodigy service, it never gained popularity in the BBS market.

The principles underlying intra-and inter-individual differences could be educationally useful, because knowing how students differ in regard to the various dimensions of cognitive development, such as processing and representational capacity, self-understanding and self-regulation, and the various domains of understanding, such as mathematical, scientific, or verbal abilities, would enable the teacher to cater for the needs of the different students so that no one is left behind.

From the back left of the painting you can see the artist himself looking out at the viewer, and the painting behind the family depicts Lot and his daughters, thus once again echoing the underlying message of corruption and gat.

This is doubly interesting since the underlying proverb behind this, " One picture is worth a thousand words ," was originally introduced into the English proverb repertoire in an ad for televisions ( Mieder 2004b: 83 ).

Similar to Marx, Veblen saw technology as the underlying driving force behind social change.

The thyroid gland's firm attachment to the underlying trachea is the reason behind its movement with swallowing.

The earliest Greek philosophers noted that appearances can be deceiving, and sought to understand the underlying reality behind the appearances.

* In the Black Library novel Mechanicum, the Theosophic idea of Akashic records is referenced, in this case as an underlying universal substrate which contains the secrets behind all possible forms of technology.

The underlying principle behind these texts is that harmony sanctions harmoniousness ( sounds that ' please ') by conforming to certain pre-established compositional principles.

One of the key factors in solving these problems is the use of DCE / RPC as the underlying RPC mechanism behind DCOM.

The key idea behind the derivation was to hedge perfectly the option by buying and selling the underlying asset in just the right way and consequently " eliminate risk ".

The key idea behind the equation is that one can perfectly hedge the option by buying and selling the underlying asset in just the right way and consequently “ eliminate risk ".

However, there were often underlying motivations behind what the government said.

" He leaves behind an economy with a faster growth rate than that of any other of the main G7 countries and an underlying rate of inflation lower than in most.

History and discussion of the underlying principles behind CCPM.

While the story behind Diwali and the manner of celebration varies from region to region ( festive fireworks, worship, lights, sharing of sweets ), the essence is the same – to rejoice in the Inner Light ( Atman ) or the underlying Reality of all things ( Brahman ).

The sensitivity of silver halides to light is the underlying principle behind most types of 19th century photographic processes-Daguerreotypes, Ambrotypes, Calotypes that use paper negatives, and wet and dry plate processes.

" Rather than trying to achieve mind and consciousness by identifying and implementing their underlying computational rules, Haikonen proposes " a special cognitive architecture to reproduce the processes of perception, inner imagery, inner speech, pain, pleasure, emotions and the cognitive functions behind these.

Only by breaking out of the bigoted attachment to one's own religious belief system and making the effort to study the doctrines of other religions can a human being penetrate to the universal underlying meaning lying behind each unique cultural and historical expression of religion.

Emanationism is a transcendent principle from which everything is derived, and is opposed to both Creationism ( wherein the universe is created by a sentient God who is separate from creation ) and materialism ( which posits no underlying subjective and / or ontological nature behind phenomena being immanent ).

This is the basic concept behind a database management system ( DBMS ), which is a client layer over the underlying data store.

The idea behind this expression can be traced back to the Safe and Clean Neighborhoods Act, approved in New Jersey in 1973, of which inherits the same underlying assumptions.

Supporters state that this information was not publicly available in 2000 or 2001 when Titor made his declaration, and Titor himself stated that this feature was " discovered " as late as 2036 when Unix, as the underlying source behind all computer operating systems still running local infrastructures and other computational tasks, was only two years away from no longer functioning due to 32-bit integer limitations.

This interest would later express itself in his book, The Holy Science, which discusses the unity behind the scientific principles underlying Yoga and the Bible.