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Geometric arrangements of points, foundational to Lie theory
In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental
Root_system
Type of branching plant root system
fibrous root system is the opposite of a taproot system. It is usually formed by thin, moderately branching roots growing from the stem. A fibrous root system
Fibrous_root_system
Basal organ of a vascular plant
vigorous root systems are essential for crop stability and prevention of lodging. Absorption of water and mineral nutrients. Root epidermal cells and root hairs
Root
Root system associated to a symmetric space
In mathematics, restricted root systems, sometimes called relative root systems, are the root systems associated with a symmetric space. The associated
Restricted_root_system
Dominant root from which other roots sprout laterally / horizontal
been cultivated as a vegetable. The taproot system contrasts with the adventitious- or fibrous-root system of plants with many branched roots, but many
Taproot
Modification of Android devices to gain rooted access
rooting an Android device gives access to administrative (superuser) permissions similar to those on Linux or any other Unix-like operating system such
Rooting_(Android)
In mathematics, an affine root system is a root system of affine-linear functions on a Euclidean space. They are used in the classification of affine Lie
Affine_root_system
Name server for the root zone of the Internet's Domain Name System
In networking, a root name server is a name server for the root zone of the Domain Name System (DNS) of the Internet. It directly answers requests for
Root_name_server
Group of organs assembled in a structural unit to serve a common function
shoot system, and a root system. The shoot system consists stems, leaves, and the reproductive parts of the plant (flowers and fruits). The shoot system generally
Organ_system
First or top-most directory in a hierarchy
In a computer file system, and primarily used in the Unix and Unix-like operating systems, the root directory is the first or top-most directory in a hierarchy
Root_directory
248-dimensional exceptional simple Lie group
dimension of its maximal torus, is eight. Therefore, the vectors of the root system are in eight-dimensional Euclidean space: they are described explicitly
E8_(mathematics)
Subgroup of a root system's isometry group
Weyl group (named after Hermann Weyl) of a root system Φ is a subgroup of the isometry group of that root system. Specifically, it is the subgroup which
Weyl_group
Maximal compact connected Abelian Lie subgroup
groups. The root system, as a subset of the Lie algebra t {\displaystyle {\mathfrak {t}}} of T, has all the usual properties of a root system, except that
Maximal_torus
Plant root
extend horizontally from the primary root (radicle) and over time make up the iconic branching pattern of root systems. They contribute to anchoring the
Lateral_root
Direct sum of simple Lie algebras
same root system. The implication of the axiomatic nature of a root system and Serre's theorem is that one can enumerate all possible root systems; hence
Semisimple_Lie_algebra
Transverse osmotic pressure within the cells of a root system
Root pressure is the transverse osmotic pressure within the cells of a root system that causes sap to rise through a plant stem to the leaves. Root pressure
Root_pressure
Plant root system
produced. It could also be described as a stem with a well developed root system, to which a bud from another plant is grafted. It can refer to a rhizome
Rootstock
Data analysis software
Wikibooks has a book on the topic of: ROOT The ROOT System Home Page Image galleries ROOT User's Guide ROOT Reference Guide ROOT Forum The RooFit Toolkit for Data
ROOT
Sitka spruce; species of coniferous tree
extremely wet and poorly-drained soil, the Sitka spruce has a shallow root system with long lateral roots and few branchings. This also makes it susceptible
Picea_sitchensis
algebras. The finite-dimensional theory is greatly governed by a theory of root systems and Dynkin diagrams, strikingly similar to those of semisimple Lie algebras
Nichols_algebra
Pictorial representation of symmetry
algebraically closed fields. One classifies such Lie algebras via their root system, which can be represented by a Dynkin diagram. One then classifies Dynkin
Dynkin_diagram
Shrub growing in brackish water
coastal conditions. They contain a complex salt filtration system and a complex root system to cope with saltwater immersion and wave action. They are
Mangrove
Species of carnivorous plant
californica is no exception. The cobra lily has a very large and rambling root system when compared to those of other carnivorous plants in the family Sarraceniaceae
Darlingtonia_californica
Special user account used for system administration
user account used for system administration. Depending on the operating system (OS), the actual name of this account might be root, administrator, admin
Superuser
Two-part root system
A dimorphic root system is a plant root system with two distinct root forms, which are adapted to perform different functions. One of the most common
Dimorphic_root_system
Topological group with compact topology
correspond to the root system D n {\displaystyle D_{n}} The exceptional compact Lie groups correspond to the five exceptional root systems G2, F4, E6, E7
Compact_group
Species of tree native North America
originating from a shared root system. These roots are not rhizomes, as new growth develops from adventitious buds on the parent root system (the ortet). Populus
Populus_tremuloides
Largest known organism
but are genetically identical parts of a single tree connected by a root system that spans 42.8 ha (106 acres). As a multi-stem tree, Pando is the world's
Pando_(tree)
Species of flowering plant
weigh between 270 and 480 mg. The plants have a developed and extensive root system, and the roots live in symbiosis with nitrogen-fixing Frankia bacteria
Sea_buckthorn
Group of symmetries of an n-dimensional hypercube
{\displaystyle \alpha } is the highest root of the root system and ⋅ is the standard dot product. In type B, the highest root is e n − 1 + e n {\displaystyle
Hyperoctahedral_group
Topics referred to by the same term
Look up root or roots in Wiktionary, the free dictionary. A root is the part of a plant, generally underground, that anchors the plant body, and absorbs
Root_(disambiguation)
Tree in Dalarna, Sweden
sprouts a new root), or vegetative cloning (when the trunk dies but the root system is still alive, it may sprout a new trunk). The root system of Old Tjikko
Old_Tjikko
Orthogonal symmetric polynomial family
of finite root systems and used just one variable t, but later realized that it is more natural to associate them with affine root systems rather than
Macdonald_polynomials
Intersection between the root and the stem
A root crown, also known as the root collar or root neck, is the part of a plant where the stem and the root system meet. Since roots and stems have quite
Root_crown
Term in mathematics
are a generalization of Dynkin diagrams that classify involutions of root systems that are relevant in several contexts. They were introduced in Satake
Satake_diagram
Lattice in 8-dimensional space with special properties
of rank 8. The name derives from the fact that it is the root lattice of the E8 root system. The norm of the E8 lattice (divided by 2) is a positive definite
E8_lattice
Mist-based plant growing process
3-tier hydro and aero system with distinct zones within the root area. Their results indicated that dissolved oxygen is crucial for root formation. Additionally
Aeroponics
Italian botanist
of plant science. Mancuso studied the abilities of plants and their root system (in particular, the tips of the roots, which are very sensitive to various
Stefano_Mancuso
mathematical group theory, the root datum of a connected split reductive algebraic group over a field is a generalization of a root system that determines the group
Root_datum
133-dimensional exceptional simple Lie group
the side node last. An alternative (7-dimensional) description of the root system, which is useful in considering E7 × SU(2) as a subgroup of E8, is the
E7_(mathematics)
Genus of flowering plants
translates to 'upon a plant'. Some are aerophytes, which have a minimal root system and grow on shifting desert soil. Due to their epiphytic way of life
Tillandsia
algebra, h {\displaystyle {\mathfrak {h}}} a Cartan subalgebra and R the root system associated to them. Choosing a base of R gives the notion of positive
Borel_subalgebra
Species of plant
bluevine milkweed, climbing milkweed, and smooth swallow-wort. The root system of C. laeve can cause it to be very difficult to eradicate, especially
Cynanchum_laeve
functionally most analogous to the leaves and twigs in a plant's shoot system. Fine-root traits are variable between species and responsive to environmental
Fine_root
Fungus-plant symbiotic association
refers to the role of the fungus in the plant's rhizosphere, the plant root system and its surroundings. Mycorrhizae play important roles in plant nutrition
Mycorrhiza
Species of conifer
black-brown. Forms surface root systems because of the moist soils. When soils are very saturated the roots form a well developed tap root. There have been no
Abies_sachalinensis
Plant that lives for more than two years
knives. However, plants such as bearded irises have a root system of rhizomes; these root systems should be planted with the top of the rhizome just above
Perennial
a (finite reduced) root system Φ {\displaystyle \Phi } , there exists a finite-dimensional semisimple Lie algebra whose root system is the given Φ {\displaystyle
Serre's theorem on a semisimple Lie algebra
Serre's_theorem_on_a_semisimple_Lie_algebra
Physical structure of a living creature
meristems and the body generally consisting of both the shoot system and the root system, with the body's development being influenced by its environment
Body_(biology)
Algebraic construct of interest in theoretical physics
algebras of diagonal type and arithmetic root systems, Habilitation thesis 2005. Heckenberger, Schneider: Root system and Weyl gruppoid for Nichols algebras
Quantum_group
Fluids emitted through the roots of plants
harmful microbes and promote the growth of self and kin plants. Plant root systems can grow to be complex due to a variety of species and microorganisms
Plant_root_exudates
Management and study of trees and other woody plants
branches and roots. These are water sprouts in canopy or suckers from root system, and often grow in response to major damage or excessive pruning. girdling
Arboriculture
with nonpositive coefficients. 6. long root 7. short root 8. inverse of a root system: Given a root system Φ {\displaystyle \Phi } . Define α v = 2
Glossary of Lie groups and Lie algebras
Glossary_of_Lie_groups_and_Lie_algebras
Genus of flowering plants including sea buckthorn
−43 °C (−45 °F). As Hippophae species develop an aggressive and extensive root system, they are planted to inhibit soil erosion and used in land reclamation
Hippophae
Positive-definite integral set of repeated points with Abelian group-rank 24
labelled by the Dynkin diagram of their root lattice. Each Niemeier lattice can be constructed from its root lattice (except for the Leech lattice which
Niemeier_lattice
Regular object in four dimensional geometry
the 24-cell and its dual form the root system of type F4. The 24 vertices of the original 24-cell form a root system of type D4; its size has the ratio
24-cell
Cluster of neurons in a dorsal root of a spinal nerve
located in the dorsal root ganglia. The axons of dorsal root ganglion neurons are known as afferents. In the peripheral nervous system, afferents refer to
Dorsal_root_ganglion
Concept in geometry
many different ways to define the Coxeter number h of an irreducible root system. The Coxeter number is the order of any Coxeter element;. The Coxeter
Coxeter_element
Species of conifer
soil fertility, and mechanical impedance. On soils that limit rooting depth, the root system is plate-like, but it is a common misconception to assume that
Picea_glauca
Simple Lie group; the automorphism group of the octonions
−e₁+2e₂−e₃ = (−1,2,−1) Note: α and A together form root system identical to A₂, while the system formed by β and B is isomorphic to A₂. Its Weyl/Coxeter
G2_(mathematics)
Plant structure, detaches and drifts
species, the tumbleweed is in effect the entire plant apart from the root system, but in other plants, a hollow fruit or inflorescence might detach instead
Tumbleweed
Group that admits a formal description in terms of reflections
diagram for the G 2 {\displaystyle G_{2}} root system. Suppose R {\displaystyle R} is an irreducible root system of rank r > 1 {\displaystyle r>1} and let
Coxeter_group
of the mouth. The natural crown-to-root ratio is thus termed a favorable crown-to-root ratio, because the root system existing within the surrounding bone
Crown-to-root_ratio
Living root remains of a cut or otherwise dead tree
cut, burned, eaten, or infected, causing its cambium to die above the root system. Living stumps are generally characterized as having a thin outer layer
Living_stump
Southern live oak in Mandeville, Louisiana
professional foresters in 1976 determined that the tree developed from a single root system. In 2016, Seven Sisters Oak had a girth of 39.6 ft (12.1 m) (measured
Seven_Sisters_Oak
yields in marginal environments. Root architecture refers to the spatial configuration of a plant's root system. The root architecture plays an important
Root_phenotypic_plasticity
Large, wide roots on all sides of a shallowly rooted tree
Cooktown, Australia. 1988 Buttress roots of Terminalia arjuna A buttress root system provides structural support. Buttress roots of an especially large Ceiba
Buttress_root
Species of plant in the mint family
drawbacks) particularly for woodland ecosystems. The plant's extensive root system makes it difficult to eradicate by hand-pulling. Glechoma hederacea can
Glechoma_hederacea
Common name for certain tree species in the Populus genus
nature of their root systems. Most aspens grow in large clonal colonies, derived from a single seedling, and spread by means of root suckers; new stems
Aspen
Temporary root file system loaded during boot of Linux
In Linux systems, initrd (initial ramdisk) is a scheme for loading a temporary root file system into memory, to be used as part of the Linux startup process
Initial_ramdisk
Matrices named after Élie Cartan
index of the associated root system, i.e. it is equal to | P / Q | {\displaystyle |P/Q|} where P, Q denote the weight lattice and root lattice, respectively
Cartan_matrix
Topic in group theory and harmonic analysis (Niemeier lattice-mock theta connection)
theta series constructed from the root system. The special case where X is the A 1 24 {\displaystyle A_{1}^{24}} root system yields precisely Mathieu Moonshine
Umbral_moonshine
Species of plant
due to the shallow and sensitive root system. The plants have to be protected from wind. Their shallow root system does not provide enough stability
Tamarillo
partition function, introduced by Bertram Kostant (1958, 1959), of a root system Δ {\displaystyle \Delta } is the number of ways one can represent a vector
Kostant_partition_function
Genetically identical, single site plants, fungi, or bacteria
United States, has been shown to be a single clone connected by the root system. It is sometimes considered the world's largest organism by mass, covering
Clonal_colony
Species of flowering plant
Plants may grow to about 20 metres in height and have a long root system with a deep tap root, that can be as large as a small car. The stems are green,
Thunbergia_grandiflora
Facility where plants are propagated and grown to usable size
their root systems when dug The size of the root ball of a ball and burlap tree depends on the calliper of the tree, and the species of the tree. Root balls
Plant_nursery
Species of plant
when its unusual culture conditions were forgotten. Specifically, its root system must be partially submerged in water most of the time, and it wants very
Clerodendrum_thomsoniae
Internet top-level domain
ICANN, via an alternative DNS root. Another unofficial .xxx TLD was previously available through the alternative DNS root system administered by the now-defunct
.xxx
Group of seed plants
failure is strongly influenced by the radial symmetry of the root system, spoke-like root systems are more stable than asymmetrical supports, especially in
Conifer
Palm tree cultivated for its sweet fruit
height, growing singly or in clumps with several stems from a single root system. Slow-growing, they can reach over 100 years of age when maintained properly
Date_palm
Concept in Lie algebra representation theory
C ) {\displaystyle sl(3,\mathbb {C} )} , whose root system is the A 2 {\displaystyle A_{2}} root system. There are two simple roots, γ 1 {\displaystyle
Weight (representation theory)
Weight_(representation_theory)
Species of plant
resource-efficient, low-input crop for producing bioenergy from farmland. Root system of switchgrass grown at the Land Institute Seeds, Kirt Prairie Much of
Panicum_virgatum
Species of flowering plant
Grafted plants are very vigorous and tolerate diseases affecting the root system, thus allowing the crop to continue for a second year. The plant is usually
Solanum_torvum
Species of tree
when freshly exposed (hence the name redwood), weathering darker. The root system is composed of shallow, wide-spreading lateral roots. The leaves are
Sequoia_sempervirens
Theorem about the constant term of certain Laurent polynomials
Zeilberger–Bressoud theorem. Macdonald generalized it further to more general root systems with the Macdonald constant term conjecture, proved by Cherednik. The
Dyson_conjecture
Plant in the nettle family
invasive patch, the entire root system of the plant must be dug out and removed, and not only the exposed leaves; roots or pieces of root which remain buried
Soleirolia
Tissue at the tip of a plant root
The root cap (also called the calyptra) is a small but multitasking organ that covers the very tip of every growing plant root. It shields the delicate
Root_cap
Group of climbing, coiling, and trailing perennial vine
underground system, which can be extremely large and deep, is not necessary for successful long-term control of kudzu. Killing or removing the kudzu root crown
Kudzu
Plant root which grows aboveground primarily for anchorage
organization, shape, and size of individual roots (root system architecture) and, as a result, root function. Roots may develop from the embryo (contained
Brace_roots
Natural number
originates from the Proto-Germanic root *tehun, which in turn comes from the Proto-Indo-European root *déḱm̥. This root is the source of similar words for
10
Topics referred to by the same term
64-bit CPU for personal computers Cn, a cyclic group Cn, a classical root system cn (elliptic function), one of Jacobi's elliptic functions Carrier-to-noise
CN
Stability criterion in control theory
and stability theory, root locus analysis is a graphical method for examining how the roots of a linear time-invariant (LTI) system change with variation
Root_locus_analysis
Recursive integer sequence
fully commutative elements of the group; in terms of the associated root system, it is the number of anti-chains (or order ideals) in the poset of positive
Catalan_number
Species of plant
regions because of its numerous seeds, high shade tolerance, and extensive root system. It is a warm-season, annual, broadleaf plant that emerges from warm
Phyllanthus_urinaria
Species of tree
preventing any other plant from growing nearby. It also has a shallow root system that facilitates soil erosion. The tree can grow to a height of 15 metres
Miconia_calvescens
Biological phenomenon
that vascular plants are assisted by fungal networks which grow on the root system to promote water redistribution. Hot, dry periods, when the surface soil
Hydraulic_redistribution
Plant that produces wood and has a hard stem
the plant, the root system continues to grow, although at a slower rate, throughout the dormant season. In cold-weather climates, root growth will continue
Woody_plant
Species of plant
inflorescence is an umbel of white flowers with purplish centers. Its root system is a taproot, like that of butterfly weed (A. tuberosa). A. viridis grows
Asclepias_viridis
Water content of the soil
grow preferentially in moister soil microsites, but some parts of the root system are also able to remoisten dry parts of the soil. Insufficient water
Soil_moisture
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