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.

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.

The subfield of NLP devoted to learning approaches is known as Natural Language Learning ( NLL ) and its conference CoNLL and peak body SIGNLL are sponsored by ACL, recognizing also their links with Computational Linguistics and Language Acquisition.

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.

In the electronics industry, this tendency is well illustrated by inventories of TV sets.

The outlook for entertainment electronics in 1961 is certainly far from clear at present, but recent surveys have shown a desire on the part of consumers to step up their buying plans for durable goods.

I therefore believe it is realistic to assume a modest drop in the total value of home entertainment electronics to about $1.8 million, slightly below 1960, but above 1959.

It is interesting to note that the present level of military electronics procurement is greater than the industry's total sales to all markets in 1950-1953, which were good years for our industry with television enjoying its initial period of rapid consumer acceptance.

While this may well be true in general, I believe it is also important to keep in mind that some recent developments suggest that over the next year or so military electronics may be one of the most strongly growing areas in an economy which is not expanding rapidly in other directions.

Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.

The host of novel applications of electronics to medical problems is far more thrilling because of their implication in matters concerning our health and vitality.

In this article we will concentrate on the advances in the application of electronics in bio-medical research laboratories because this is where tomorrow's commonplace equipment originates.

The medical title of `` Lobar Ventilation In Man '' by Drs. C. J. Martin and A. C. Young, covers a brief paper which is one part of a much larger effort to apply electronics to the study of the respiratory process.

Can you really say his motivation for college is electronics ''??

Applications such as ion implantation may be used to identify the distribution of dopants inside a semi-conducting material, which is increasingly critical in the correct design of modern nanometre scale electronics.

One of the last remaining Sunday closing laws in the United States that covers selling electronics, clothing and furniture is found in Bergen County, New Jersey.

Bluetooth is managed by the Bluetooth Special Interest Group, which has more than 16, 000 member companies in the areas of telecommunication, computing, networking, and consumer electronics.

Bandwidth in hertz is a central concept in many fields, including electronics, information theory, digital communications, radio communications, signal processing, and spectroscopy.

Today, Bakelite is manufactured and produced in sheet, rod and tube form for hundreds of industrial applications in the electronics, power generation and aerospace industries, and under a variety of commercial brand names.

It is not uncommon for long queues to form early in the morning of 26 December, hours before the opening of shops holding the big sales, especially at big-box consumer electronics retailers.

Garnering much excitement is the possible use of diamond as a semiconductor suitable to build microchips from, or the use of diamond as a heat sink in electronics.

Software ( or firmware ) is also used in video games and for the configurable parts of the logic systems of automobiles, televisions, and other consumer electronics.

A computer expo or computer show is a trade fair or exposition for computers and electronics.

In Canada, the Department of Industry is responsible for allocating frequencies and call signs, managing the broadcast spectrum, and regulating other technical issues such as interference with electronics equipment.

In physics or electronics, a cathode is an electrode that emits electrons into the device.

Commodore is the commonly used collective name for Commodore International Limited and the various national companies that operated underneath it, including Commodore Business Machines ( CBM ), the U. S .- based home computer and electronics manufacturer with headquarters in West Chester, Pennsylvania that it shared with its parent.