In linguistics, semantics is the subfield that is devoted to the study of meaning, as inherent at the levels of words, phrases, sentences, and larger units of discourse ( termed texts ).

Nevertheless, the more advanced sieves can still get very intricate and delicate ( especially when combined with other deep techniques in number theory ), and entire textbooks have been devoted to this single subfield of number theory ; a classic reference is and a more modern text is.

Inductive logic programming ( ILP ) is a subfield of machine learning which uses logic programming as a uniform representation for examples, background knowledge and hypotheses.

Today, parallel GPUs have begun making computational inroads against the CPU, and a subfield of research, dubbed GPU Computing or GPGPU for General Purpose Computing on GPU, has found its way into fields as diverse as machine learning, oil exploration, scientific image processing, linear algebra, statistics, 3D reconstruction and even stock options pricing determination.

Data stream mining can be considered a subfield of data mining, machine learning, and knowledge discovery.

Secretomics, a subfield of proteomics that studies secreted proteins and secretion pathways using proteomic approaches, has recently emerged as an important tool for the discovery of biomarkers of disease.

As some approaches to the study of integral equations ( theoretically and numerically ) constitute a subfield of operator theory, the journal also deals with the theory of integral equations and hence of differential equations.

The same argument proves that no subfield of the real field is algebraically closed ; in particular, the field of rational numbers is not algebraically closed.

In algorithmic information theory ( a subfield of computer science ), the Kolmogorov complexity of an object, such as a piece of text, is a measure of the computational resources needed to specify the object.

It is currently the most well-developed subfield of automated reasoning.

Aerodynamics is a subfield of fluid dynamics and gas dynamics, with much theory shared between them.

The study of the electrical aspects is a subfield of electrophysiology called cardiac electrophysiology and is epitomized with the electrocardiogram ( ECG / EKG ).

In the computer science subfield of algorithmic information theory, a Chaitin constant ( Chaitin omega number ) or halting probability is a real number that informally represents the probability that a randomly constructed program will halt.

Although such controllers need not be electrical many are and hence control engineering is often viewed as a subfield of electrical engineering.

It is a subfield of electronics engineering and computer engineering.

Nevertheless, equivalence classes of Cauchy sequences are defined as above, and the set of equivalence classes is easily shown to be a field that has the rational numbers as a subfield.

Recreating Damascus steel is a subfield of experimental archaeology.

Differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change while integral calculus is defined informally to be the area of the region in the xy-plane bounded by the graph of f, the x-axis, and the vertical lines and, such that areas above the axis add to the total, and the area below the x axis subtract from the total.

More generally any quadratically closed subfield of or will suffice for this purpose, e. g., the algebraic numbers, but when it is a proper subfield ( i. e., neither nor ) even finite-dimensional inner product spaces will fail to be metrically complete.

Microelectronics is a subfield of electronics.

Mathematical logic ( also known as symbolic logic ) is a subfield of mathematics with close connections to the foundations of mathematics, theoretical computer science and philosophical logic.

The mathematical field of category theory uses many formal axiomatic methods, and includes the study of categorical logic, but category theory is not ordinarily considered a subfield of mathematical logic.

A missing subdivision is computable model theory, but this can arguably be viewed as an independent subfield of logic.

Molecular nanotechnology is a speculative subfield of nanotechnology regarding the possibility of engineering molecular assemblers, machines which could re-order matter at a molecular or atomic scale.

In the mathematical subfield of numerical analysis, a B-spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition.

Every subfield of an ordered field is also an ordered field in the inherited order.

Every ordered field contains an ordered subfield that is isomorphic to the rational numbers.

The quantitative study of bibliographies is known as bibliometrics, which is today an influential subfield in LIS.

In Europe, sinology is usually known as Chinese Studies whereas in the United States Sinology is a subfield of Chinese Studies.

Natural resource economics as a subfield began when the main concern of researchers was the optimal commercial exploitation of natural resource stocks.

If every element of an ordered field lies between two elements of its rational subfield, then the field is said to be Archimedean.

Although Davis's theory is not entirely accurate, it was absolutely revolutionary and unique in its time and helped to modernize and create Geography subfield of Geomorphology.

The applied tools of the mathematics disciplines of Celestial mechanics or its subfield Orbital mechanics ( both predict orbital paths and positions ) about a center of gravity are used to generate an ephemeris ( plural: ephemerides ; from the Greek word ephemeros = daily ) which is a table of values that gives the positions of astronomical objects in the sky at a given time or times, or a formula to calculate such given the proper time offset from the epoch.

This field takes as its premise that economics is a strict subfield of ecology.

This concern is related to the subfield of sustainable development and its political relation, the anti-globalization movement.

Towards the middle of the 20th century, musicology ( and its largest subfield of historical musicology ) expanded significantly as a field of study.

The applied tools of the mathematics disciplines of celestial mechanics or its subfield orbital mechanics ( for predicting orbital paths and positions for bodies in motion under the gravitational effects of other bodies ) can for example be used to generate an ephemeris, which can be presented as a table of values giving positions and velocities of astronomical objects in the sky at a given time or times.

In arthropodology, and especially its subfield entomology, captured arthropods and insects are routinely killed and prepared for mounted display, whereby they are impaled by a pin to a portable surface, such as a board or display box made of wood, cork, cardboard, or synthetic foam.

The Hodge conjecture, may be neatly reformulated using motives: it holds iff the Hodge realization mapping any pure motive with rational coefficients ( over a subfield k of ℂ ) to its Hodge structure is a full functor H: M ( k )< sub > ℚ </ sub > → HS < sub > ℚ </ sub > ( rational Hodge structures ).

Every imperfect field is necessarily transcendental over its prime subfield ( the minimal subfield ), because the latter is perfect.

This number lies in the n-th cyclotomic field — and in fact in its real subfield, which is a totally real field and a rational vector space of dimension

In mathematical logic, and particularly in its subfield model theory, a saturated model M is one which realizes as many complete types as may be " reasonably expected " given its size.

Kettl states that " public administration, as a subfield within political science ... is struggling to define its role within the discipline ".

Internal ballistics, a subfield of ballistics, is the study of a projectile's motion from the time its propellant's igniter is initiated until it exits the gun barrel.

* Behavioral economics – an economic subfield with heuristics as one of its main arguments

In library science, the number of pages in a book forms part of its physical description, coded in subfield 300 $ a in MARC 21 and in subfield 215 $ a in UNIMARC.