Ottava rima
Ottava rima is a form of poetry that consists of eight-line stanzas (octaves) with a specific rhyme scheme of ABABABCC. This structure is typically written in iambic pentameter, meaning each line has ten syllables with an alternating pattern of unstressed and stressed syllables.
Ovi (poetry)
Ovi, or "Ovi poetry," refers to a traditional form of poetry from the Indian subcontinent, specifically associated with the folk traditions of the state of Maharashtra and other regions. It is characterized by its simple language, rhythmic structure, and often conveys themes related to daily life, nature, love, and the struggles of the common people. Ovi poems are typically sung or recited, often during festivals or communal gatherings, and they hold significant cultural value in preserving oral traditions.
Control-Lyapunov function
A Control-Lyapunov Function (CLF) is a concept used in control theory to design feedback controllers that stabilize nonlinear systems. It generalizes the idea of a Lyapunov function, which is a scalar function used to ascertain the stability of dynamical systems.
Derrick's theorem
Derrick's theorem is a result in the field of mathematical physics, particularly in the study of field theories and solitons. It concerns the stability of soliton solutions to certain field equations, specifically addressing the stability under small perturbations of the solutions. The theorem states that if a field configuration (such as a soliton) is localized and satisfies certain energy conditions, then it is stable against small perturbations if and only if its energy does not decrease under rescaling of the spatial variables.
Exponential stability
Exponential stability is a concept used primarily in the field of dynamical systems, control theory, and differential equations. It describes a system's behavior in response to perturbations or initial conditions. A system is said to be exponentially stable if, after being perturbed, the system not only returns to equilibrium but does so at a rate that decreases exponentially over time.
Hyperbolic equilibrium point
In dynamical systems, an equilibrium point is a point where the system can remain indefinitely if it starts there, assuming no external disturbances. An equilibrium point is classified based on its stability properties, which are determined by analyzing the behavior of the system near that point. A **hyperbolic equilibrium point** is a specific type of equilibrium point where the linearization of the system at that point has no eigenvalues with zero real parts.
Instability
Instability generally refers to a state or condition characterized by a lack of stability, predictability, or consistency. It can apply to various contexts, including: 1. **Physical Systems**: In physics or engineering, instability can refer to a system that is sensitive to small changes in conditions, leading to unpredictable behavior, such as a bridge that sways dangerously under certain loads.
Jury stability criterion
The Jury stability criterion is a method used in control theory to determine the stability of discrete-time linear systems represented in the z-domain. It is particularly relevant for systems described by polynomial equations, where the roots of the characteristic polynomial (the z-transformation of the system's difference equation) are analyzed to assess stability. According to the Jury's stability criterion, the system is stable if and only if all the roots (or poles) of the characteristic polynomial lie inside the unit circle in the z-plane.
The Kalman–Yakubovich–Popov (KYP) lemma is a result in control theory and systems engineering that provides necessary and sufficient conditions for the stability of dynamical systems. It is particularly useful in the analysis and synthesis of linear time-invariant systems and has applications in areas such as robust control and optimal control.
DR 21
"DR 21" could refer to multiple concepts depending on the context. Here are a few possibilities: 1. **Disaster Recovery (DR) 21**: In the context of information technology and disaster recovery planning, DR 21 might refer to a specific strategy or framework designed to ensure business continuity and recovery of IT systems and data after a disaster.
IC 5146
IC 5146, also known as the Cocoon Nebula, is an emission and reflection nebula located in the constellation Cygnus. It is part of a star-forming region and is approximately 2,600 light-years away from Earth. The nebula is notable for its distinctive shape, resembling a cocoon, which is formed by a dense cloud of gas and dust. Within this cloud, new stars are being born, which heat the surrounding material and cause it to emit light.
LH 95
LH 95, also known as "LHS 95," is a star system located in the constellation of Octans. It is notable for having a confirmed exoplanet, LHS 95 b, which is a Super-Earth that orbits its star. The system is of interest in astronomical studies due to its characteristics that are often compared to those of our own solar system and the potential for studying exoplanet atmospheres.
Markarian 50
Markarian 50 (also known as Mrk 50) is a galaxy that is notable for being a Seyfert galaxy, specifically a Seyfert 2 type. It is located in the constellation of Ursa Major and is part of a group of galaxies. Seyfert galaxies are characterized by their active galactic nuclei that emit strong emissions, particularly in the optical and infrared wavelengths.
The Vakhitov–Kolokolov stability criterion is a condition used in the study of nonlinear wave phenomena, particularly in the stability analysis of solitary waves or pulses in various physical systems, such as nonlinear optics and fluid dynamics. The criterion helps determine whether a given solitary wave solution to a nonlinear partial differential equation is stable or unstable under small perturbations.
Alcaic stanza
The Alcaic stanza is a type of poetic form that originates from ancient Greek poetry, specifically associated with the poet Alcaeus of Mytilene. It is known for its distinctive metrical structure, which consists of four verses (or lines) that follow a specific syllable pattern. The traditional Alcaic stanza is structured as follows: 1. The first line has 11 syllables. 2. The second line has 11 syllables.
Anuṣṭubh
Anuṣṭubh is a specific meter (chandah) used in classical Sanskrit poetry, particularly in Vedic texts and later literature. It is one of the most common metrical forms and is characterized by its structure of 32 syllables (morae) arranged in four quarters (pādās) of 8 syllables each.
Ballad stanza
A ballad stanza is a type of stanza commonly used in ballads, which are narrative poems that tell a story. The traditional form of a ballad stanza typically consists of four lines (quatrains) with a specific rhyme scheme and meter. The common characteristics of a ballad stanza include: 1. **Rhyme Scheme**: The typical rhyme scheme is **ABAB** or **ABCB**, where the second and fourth lines rhyme with each other.
Bar form
Bar form is a musical structure commonly found in the compositions of the late medieval and early Renaissance periods, especially in the context of German music. It is characterized by two main sections that are repeated, followed by a contrasting section. The typical arrangement of bar form can be represented as AAB, where: - The first section (A) is usually repeated, creating a sense of completeness and symmetry. - The contrasting section (B) provides a different musical theme or variation to enhance the overall structure.
Bob and wheel
The "Bob and Wheel" is a poetic device used in Middle English literature, particularly in the alliterative poetry of the 14th century. It is most famously found in the poem "Sir Gawain and the Green Knight," attributed to the Pearl Poet. The structure of the Bob and Wheel consists of two main parts: 1. **The "Bob"**: This is a short line, typically consisting of two or three stressed syllables.
Burns stanza
A Burns stanza, named after the Scottish poet Robert Burns, typically consists of a four-line stanza (quatrain) with a specific rhyme scheme of AABB. This format often emphasizes the rhythmic and musical quality of the verse, which is a hallmark of Burns's poetry. The meter is commonly iambic, making it suitable for singing. Burns’s use of the stanza is prominent in many of his works, contributing to their lyrical and folk-like nature.