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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
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
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
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)
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
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)
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
Name server for the DNS root zone
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 records in the
Root_name_server
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
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
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
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
Data analysis software
ROOT is an object-oriented computer program and library developed by CERN. It was originally designed for particle physics data analysis and contains several
ROOT
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
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
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
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
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 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
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
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
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
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)
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
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 flowering plant in the family Elaeagnaceae
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
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
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
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
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
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
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
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
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
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
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
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
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
Family of mostly succulent plants, adapted to dry environments
quickly to any rainfall, helped by an extensive but relatively shallow root system that quickly absorbs any water reaching the ground surface. Cactus stems
Cactus
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
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
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
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
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
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
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
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)
Device connecting the CPU and memory to PCI Express switch fabric
In a PCI Express (PCIe) system, a root complex device connects the CPU and memory subsystem to the PCI Express switch fabric composed of one or more PCIe
Root_complex
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
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
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
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
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
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
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
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
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
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
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
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
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
Plant species in pea family
climate. The plant grows to a height of up to 1 metre (3+1⁄2 feet). Its root system typically grows to a depth of 2–3 m (7–10 ft) depending on subsoil constraints
Alfalfa
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
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 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
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
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
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
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)
Pseudoscientific concept in Theosophy
Root races are concepts in the esoteric cosmology of Theosophy. As described in Helena Petrovna Blavatsky's book The Secret Doctrine (1888), these races
Root_race
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
Fruiting body of a subterranean ascomycete fungus
exchange. Hyphae can spread to other root tips colonising the entire root system of the host. Over time, the truffle fungus accumulates sufficient resources
Truffle
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)
Species of flowering plant
and products of photosynthesis which it sucks through a specialised root system called haustoria. These haustoria are attached to both the xylem and
Sapria_himalayana
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
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
Species of fruit and plant
perennial plant that bears biennial stems ("canes") from the perennial root system. In its first year a new stem grows vigorously to its full length of
Rubus_armeniacus
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
Plant species in the dogbane family
seed is also able to disperse via water due to its light weight. The root system consists of short rhizomes and horizontal roots. Apocynum cannabinum
Apocynum_cannabinum
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
Medicinal plant known as common mugwort
are produced. As many as new 20 stems can grow from one root system. The main brown woody root, which is about 200 mm (7.9 in) long, has rootlets 51–102 mm
Artemisia_vulgaris
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
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
Species of tree native to North America
aggressive roots help hold onto the soil, and nitrogen-fixing bacteria on its root system allow it to grow on poor soils, making it an early colonizer of disturbed
Robinia_pseudoacacia
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
contains top-level domains, which are those domains in the DNS root zone of the Domain Name System of the Internet. A list of the top-level domains by the Internet
List of Internet top-level domains
List_of_Internet_top-level_domains
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
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
Species of plant in the palm family
room temperature. The palm tree has neither a taproot nor root hairs, but a fibrous root system. This consists of many thin roots that grow outward from
Coconut
Mass of roots at the base of a plant
A root ball is the mass of roots and growing media at the base of a plant such as trees, shrubs, and other perennials and annual plants. The appearance
Root_ball
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
Flowering plant (Japanese knotweed)
resprouting from the roots. Japanese knotweed has a strong and extensive root system that can exploit cracks and weaknesses in hard surfaces such as concrete
Reynoutria_japonica
Species of flowering plant in the willowherb family
left in the soil after a fire. It is also able to quickly establish a root system for reproduction and through this can prevent mass wasting and erosion
Chamaenerion_angustifolium
Genus of legumes
deepest root system of any plants[citation needed] - a 1 m (3 ft 3 in) high shrub may have a main root more than 15 m (49 ft) long; due to their deep root system
Alhagi
European yew tree in Perthshire, Scotland
This makes it one of the oldest known non-clonal trees in Europe. (The root system of the Norway spruce Old Tjikko in Sweden, which is a clonal tree, is
Fortingall_Yew
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
ROOT SYSTEM
ROOT SYSTEM
Surname or Lastname
English
English : variant spelling of Foote.
Girl/Female
British, Dutch, English, French, German, Netherlands
Rose
Boy/Male
Hindu, Indian, Indonesian, Kenyan
Root
Boy/Male
Muslim
Spirit, Soul, Good behaviour, Purity
Surname or Lastname
English
English : patronymic from Root 1.
Boy/Male
Dutch
Large.
Male
Chinese
a root.
Surname or Lastname
Dutch (also de Roos) and Swiss German
Dutch (also de Roos) and Swiss German : habitational name for someone living at a house distinguished by the sign of a rose.Dutch (also de Roos) : metonymic occupational name for someone who grew roses, from roos ‘rose’.Dutch : from the female personal name Rosa (Latin rosa ‘rose’).Dutch : nickname from roos ‘erysipelas’, an infection which causes reddening of the skin and scalp, applied presumably to someone with a ruddy complexion.Swiss German : from a personal name formed with hrÅd ‘renown’.Swedish and Danish (of German origin) : as 1.Swedish : variant of Ros.English and Scottish : variant of Ross 2.
Surname or Lastname
English
English : metonymic occupational name for a maker or seller of boots, from Middle English, Old French bote (of unknown origin).Dutch and North German : metonymic occupational name for a boatman, from Dutch boot ‘boat’.
Boy/Male
American, British, English
Raven
Boy/Male
Indian
Spirit, Soul, Good behaviour, Purity
Surname or Lastname
English (now chiefly East Anglia)
English (now chiefly East Anglia) : probably a topographic name for someone who lived by a patch of rough ground, from a hypothetical Old English word rÅ«(we)t or rÅ«het, derivatives of rÅ«h ‘rough’, ‘overgrown’. Compare Rauch. There are places called Ruffet(t) in Surrey and Sussex which are thought to have this origin.German : Swabian variant of Roth 1.Probably an Americanized spelling of German Rauth.Indian (northern states) : Hindu (Rajput, Jat, Maratha) and Sikh name meaning ‘prince’, from Sanskrit rÄjaputra (from rÄja ‘king’ + putra ‘son’). In India this is a variant of a name more commonly spelled Ravat or Raut. The Jats have a clan called Ravat.
Surname or Lastname
English
English : nickname from the bird (Old English hrÅc), most likely given to a person with very dark hair or a dark complexion or to someone with a raucous voice.English : some early examples, such as Robert of ye Rook (London 1318) and Henry del Rook (Staffordshire 1332), point clearly to a local name of some kind. The first of these could be from a house sign, the second may be a variant of Rock 1.German : from a short form of a Germanic personal name formed with hrok, of uncertain origin; perhaps a cognate of 1 or from Middle High German rÅhen ‘to cry or yell (in battle)’ or Old High German ruoh ‘intent’.Perhaps an altered spelling of German Ruck.
Surname or Lastname
English
English : variant of Rolfe.German : from Ruffo, a short form of a personal name formed with hrÅd ‘renown’, ‘victory’.Probably an Americanized spelling of German Ruf and Ruff.
Surname or Lastname
English
English : nickname for a cheerful person, from Middle English rote ‘glad’ (Old English rÅt).English : metonymic occupational name for a player on the rote, an early medieval stringed instrument (Middle English, Old French rote, of uncertain origin but apparently ultimately akin to Welsh crwth).Dutch : topographic name for someone who lived by a retting place (Dutch root, a derivative of ro(o)ten ‘to ret’, akin to modern English rot), a place where flax is soaked in tubs of water until the stems rot to release the linen fibers.
Surname or Lastname
Dutch
Dutch : from a short form of the Germanic personal name Robrecht.Altered spelling of German Rupp.English : variant spelling of Roope.
Boy/Male
Egyptian
Root.
Boy/Male
Indian, Sanskrit
Beginning; Root
Girl/Female
Indian
Soul
Girl/Female
Hindu
Look, Blessed with beauty, Shape, Beauty
ROOT SYSTEM
ROOT SYSTEM
Girl/Female
Muslim
Safeguarded, Well-protected
Male
Hindi/Indian
(अमित) Hebrew unisex name AMIT means "friend." Compare with other forms of Amit.
Boy/Male
Tamil
Abhichandra | அபீசஂதà¯à®°Â
Fearless
Boy/Male
Indian, Tamil
God Kannan
Girl/Female
Australian, Czech, Czechoslovakian, German, Polish, Slavic, Ukrainian
Graceful People; Dear; Favour; Love; Beloved of the People
Male
Arthurian
, the sword of Gawain.
Girl/Female
Tamil
Collected
Girl/Female
Indian, Sikh
Friendly
Girl/Female
Latin
Laurel.
Girl/Female
Indian, Telugu
Fire
ROOT SYSTEM
ROOT SYSTEM
ROOT SYSTEM
ROOT SYSTEM
ROOT SYSTEM
v. t.
To spend or pass in riot.
v. t.
To cover with a roof.
n.
A room for retirement from another room, as from a dining room; a drawing-room.
v. t.
To cover or dress with soot; to smut with, or as with, soot; as, to soot land.
n.
An edible or esculent root, especially of such plants as produce a single root, as the beet, carrot, etc.; as, the root crop.
a.
Full of roots; as, rooty ground.
a.
Feeding on roots; root-eating.
n.
The underground portion of a plant, whether a true root or a tuber, a bulb or rootstock, as in the potato, the onion, or the sweet flag.
n.
That factor of a quantity which when multiplied into itself will produce that quantity; thus, 3 is a root of 9, because 3 multiplied into itself produces 9; 3 is the cube root of 27.
n.
That which resembles a root in position or function, esp. as a source of nourishment or support; that from which anything proceeds as if by growth or development; as, the root of a tooth, a nail, a cancer, and the like.
v. t.
To kick with the foot; to spurn.
v. i.
To occupy a room or rooms; to lodge; as, they arranged to room together.
v. i.
To fix the root; to enter the earth, as roots; to take root and begin to grow.
a.
Having roots, or possessing a well-developed root.
v. t.
To turn up or to dig out with the snout; as, the swine roots the earth.
v. i.
To search or root in the ground, as a swine.
n.
That which corresponds to the foot of a man or animal; as, the foot of a table; the foot of a stocking.
v. t.
To tread; as, to foot the green.
v. t.
To tear up by the root; to eradicate; to extirpate; -- with up, out, or away.