Linear dynamical systems and systems that have two numbers describing a state are examples of dynamical systems where the possible classes of orbits are understood.

Dissipative dynamical systems, part I: General theory ; part II: Linear systems with quadratic supply rates.

The Proto-Sinatic or Proto Canaanite script and the Ugaritic script were the first scripts with limited number of signs, in contrast to the other widely used writing systems at the time, Cuneiform, Egyptian hieroglyphs, and Linear B.

These show a number of systems of script employing either ideograms or syllabograms ( see Linear B ).

According to archaeological evidence, cultures in Egypt ( hieroglyphs ), the Near East ( cuneiform )— and the Mediterranean, with the Mycenaean culture ( Linear B )— had viable writing systems.

Linear systems display sensitive dependence on initial conditions in the case of divergence.

Its writing system has been the Greek alphabet for the majority of its history ; other systems, such as Linear B and the Cypriot syllabary, were previously used.

However, the La Marle interpretation of Linear A has been rejected by John Younger of Kansas University showing that La Marle has invented erroneous and arbitrary new transcriptions based on resemblances with many different script systems at will ( as Phoenician, Hieroglyphic Egyptian, Hieroglyphic Hittite, Ethiopian, Cypro-Minoan, etc.

The sequence and the geographical spread of Cretan hieroglyphs, Linear A and Linear B, the three overlapping, but distinct writing systems on Bronze Age Crete and the Greek mainland can be summarized as follows:

* Linear signals and systems, and transform theory

He perceived that the scripts were two different and mutually exclusive writing systems, which he termed Linear A and Linear B.

Linear systems represent the main class of systems for which general techniques for stability control and analysis exist.

He conducted research in particle physics and systems theory at the University of Paris ( 1966 – 1968 ), the University of California, Santa Cruz ( 1968 – 1970 ), the Stanford Linear Accelerator Center ( 1970 ), Imperial College, London ( 1971 – 1974 ), and the Lawrence Berkeley Laboratory ( 1975 – 1988 ).

Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces ( also called linear spaces ), linear transformations ( also called linear maps ), and systems of linear equations.

Linear systems analysis defines the transfer function as the complex ratio between the output signal spectrum and the input signal spectrum as a function of frequency.

Linear control systems use linear negative feedback to produce a control signal mathematically based on other variables, with a view to maintain the controlled process within an acceptable operating range.

Radiation therapists use advanced computer systems to operate sophisticated radiation therapy equipments such as Linear Accelerators.

* Linear shift-invariant systems, the discrete equivalent of linear time-invariant systems

Linear circuits, that is, circuits with the same input and output frequency, can be analyzed by hand using complex number theory.

Linear motion can come from either a diaphragm or piston actuator, while rotary motion is supplied by either a vane type air motor or piston air motor.

Linear equations can have one or more variables.

Linear equations can be rewritten using the laws of elementary algebra into several different forms.

Linear search can also be described as a recursive algorithm:

For an imprecise, but qualitatively useful, discussion of the molecular structure, the molecular orbitals can be obtained from the " Linear combination of atomic orbitals molecular orbital method " ansatz.

Linear combinations of atomic orbitals ( LCAO ) can be used to estimate the molecular orbitals that are formed upon bonding between the molecule ’ s constituent atoms.

Linear methods can also be applied, but the engineer must manually specify the interactions when using them.

If surviving Linear B clay tablets can be trusted, the name po-se-da-wo-ne (" Poseidon ") occurs with greater frequency than does di-u-ja (" Zeus ").

Linear menus are most suited for dynamic, large menus that have many possible options, without any logical grouping, since pie menus can only show a limited number of menu items.

As a practical matter, VITC can be more ' frame-accurate ' than Linear timecode ( LTC ), particularly at very slow tape speeds on analog formats.

Linear zoetropes can have arbitrarily long animations and can cause images to appear wider than their actual sizes.

Many of these names appearing in the Linear B inscriptions can be found later in classical Greece like Zeus, Hera, Poseidon, Athena, Hermes, Eileithyia and Dionysos, but the etymology is the only evidence of the cults.

Linear loads with low power factor ( such as induction motors ) can be corrected with a passive network of capacitors or inductors.

* Linear medium, if different waves at any particular point in the medium can be superposed ;

Linear congruential generators have periods that can be calculated by factoring.

Linear operations that could be performed in the time domain have counterparts that can often be performed more easily in the frequency domain.

Audio can be stored in either of two forms: 16-bit Linear PCM stereo at 48 kHz sampling rate ( 768 kbit / s per channel, 1. 5 Mbit / s stereo ), or four nonlinear 12-bit PCM channels at 32 kHz sampling rate ( 384 kbit / s per channel, 1. 5 MBit / s for four channels ).

This is the reason a TeV energy electron-positron collider ( such as the proposed International Linear Collider ) cannot use a circular tunnel ( requiring constant acceleration ), while a proton-proton collider ( such as the Large Hadron Collider ) can utilize a circular tunnel.

* Linear search such as unsorted table look-ups in particular can be very expensive in terms of execution time but can be reduced significantly through use of efficient techniques such as indexed arrays and binary searches.

The earliest attested name is the Hittite Assuwa a region in central-western Anatolia which seems to be connected with the Mycenean Greek epithet a-si-wi-ja in Linear B inscriptions found at Pylos.

" John Chadwick, a decipherer of Linear B, remarks "" her name may be connected with hērōs, ἥρως, ' hero ', but that is no help, since it too is etymologically obscure.

He and others used this information to achieve a significant and now well-accepted decipherment of Linear B, although many points remain to be clarified.

The simplest approach to decipherment may be to presume that the values of Linear A match more or less the values given to the fully translated Linear B script, used for Mycenean Greek.

Since the 1960s, a theory based on Linear B phonetic values suggests that Linear A language could be an Anatolian language, close to Luwian.

While one or two terms may apparently be of Semitic origin ( such as KU-RO, see below ), there is yet not enough evidence to secure a connection between the language of Linear A and Semitic idioms.

Many of the signs are identical or similar to those in Linear A ; however, Linear A encoded a still unknown language and we cannot be sure that similar signs had similar phonetic values.

There is a name in Minoan Linear A mi-nu-te that may be related to Minos.

In a Linear B ( Mycenean Greek ) inscription on a tablet found at Pylos dated 1400 – 1200 BC, John Chadwick reconstructs the name of a goddess * Preswa who could be identified with Persa, daughter of Oceanus and finds speculative the further identification with the first element of Persephone.

It is often claimed that Linear Elamite is a syllabic writing system derived from Proto-Elamite, although this cannot be proven.

Linear B, the writing system of the Mycenaean Greeks, has been deciphered while Linear A has yet to be deciphered.