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Device connecting the CPU and memory to PCI Express switch fabric
a root complex device connects the CPU and memory subsystem to the PCI Express switch fabric composed of one or more PCIe or PCI devices. A root complex
Root_complex
Number whose square is a given number
In mathematics, a square root of a number x is a number y such that y2=x; in other words, a number y whose square (the result of multiplying the number
Square_root
Arithmetic operation, inverse of nth power
a polynomial with complex coefficients has at least one complex root. Equivalently, the theorem states that the field of complex numbers is algebraically
Nth_root
Number whose cube is a given number
cube root that is denoted x 3 {\textstyle {\sqrt[{3}]{x}}} and called the real cube root of x or simply the cube root of x in contexts where complex numbers
Cube_root
Number with a real and an imaginary part
square root |z|=x2+y2. By Pythagoras' theorem, |z| is the distance from the origin to the point representing the complex number z in the complex plane
Complex_number
Theorem about polynomials
mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and
Complex conjugate root theorem
Complex_conjugate_root_theorem
Number with an integer power equal to 1
In mathematics, a root of unity is any complex number that yields 1 when raised to some positive integer power n. Roots of unity are used in many branches
Root_of_unity
Principal square root of minus 1
for the principal (positive) square root of a positive real number or for the principal square root of a complex number. Attempting to apply the calculation
Imaginary_unit
Auto-configuration mechanism used by PCI
depending on the function of the device. That is, Type 1 headers for Root complex, switches, and bridges. Then Type 0 for endpoints. The Cache Line Size
PCI_configuration_space
Square root of a non-positive real number
involving the square root of a negative number, it was Rafael Bombelli who first set down the rules for multiplication of complex numbers in 1572. The
Imaginary_number
Fundamental operation on complex numbers
a root of a univariate polynomial with real coefficients is complex, then its complex conjugate is also a root. The complex conjugate of a complex number
Complex_conjugate
Microprocessor functions outside of, but closely connected to, the core
snoop agent pipeline, on-die memory controller, on-die PCI Express Root Complex, and Thunderbolt controller. Integration of these functions into the
Uncore
Basal organ of a vascular plant
the term root system architecture (RSA) refers to the spatial configuration of a plant's root system. This system can be extremely complex and is dependent
Root
Brand of computer chip
integrated hardware blocks such as a network interface controllers, a PCIe root complex, and USB and SATA controllers. Early 2025, the Xeon 6 SoC line was announced
Xeon_D
Type of complex number
it is a root of the polynomial x2−x−1, i.e., a solution to the equation x2−x−1=0, and the complex number 1+i is algebraic because it is a root of the polynomial
Algebraic_number
Every polynomial has a real or complex root
with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number
Fundamental theorem of algebra
Fundamental_theorem_of_algebra
Stability criterion in control theory
determine stability of the system. The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter
Root_locus_analysis
Algorithms for zeros of functions
properties for certifying that no root is missed and for locating the roots in separate intervals (or disks for complex roots) that are small enough to
Root-finding_algorithm
Algorithm for finding zeros of functions
method can also be extended to complex functions and to systems of equations. The purpose of Newton's method is to find a root of a function. The idea is
Newton's_method
Polynomial equation of degree two
root. If all the coefficients are real numbers, there are either two real solutions, or a real double root, or two complex solutions that are complex
Quadratic_equation
the computation. Some methods aim to find a single root, while others are designed to find all complex roots at once. In certain cases, the objective may
Polynomial_root-finding
Polynomial equation of degree 3
root and any cube root, respectively (every nonzero complex number has two square roots and three cubic roots). The sign "±" before the square root is
Cubic_equation
Hollow part of the root of a tooth
more than one root canal per root. Some teeth have a more variable internal anatomy than others. An unusual root canal shape, complex branching (especially
Root_canal
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
Server partitioning hardware and software
many as 4 root domains, limited by the number of PCIe root complexes installed on the server. SPARC T5 servers can have up to 16 root complex domains.
Oracle_VM_Server_for_SPARC
Used to count, measure, and label
numbers such as the square root of 2 (2), and pi (π), and complex numbers which extend the real numbers with a square root of −1 (i), and its combinations
Number
Type of mathematical expression
degree when the complex solutions are counted with their multiplicity. This fact is called the fundamental theorem of algebra. A root of a nonzero univariate
Polynomial
Modification of Android devices to gain rooted access
Rooting is the process by which users of Android devices can attain privileged control (known as root access) over various subsystems of the device, usually
Rooting_(Android)
Command that prints information about PCI buses and devices
00:00.0 Host bridge: Advanced Micro Devices, Inc. [AMD] Raven/Raven2 Root Complex 00:00.2 IOMMU: Advanced Micro Devices, Inc. [AMD] Raven/Raven2 IOMMU
Lspci
Complex number whose mapping on a coordinate plane produces a triangular lattice
a primitive (hence non-real) cube root of unity. The Eisenstein integers form a triangular lattice in the complex plane, in contrast with the Gaussian
Eisenstein_integer
248-dimensional exceptional simple Lie group
for the corresponding root lattice, which has rank 8. The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras
E8_(mathematics)
Hardware-assisted virtualization on x86/x86-64 CPUs
configure such translations. Single-root IOV (SR-IOV or SRIOV) supports native IOV in existing single-root complex PCI Express topologies. It requires
X86_virtualization
Point where function's value is zero
In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function f {\displaystyle f} , is a member x {\displaystyle
Zero_of_a_function
Specific values of a multivalued function
is given by the square root function: every nonzero complex number has two square roots. The principal value of the square root of a positive real number
Principal_value
Method of identifying the fundamental causes of faults or problems
science and reliability engineering, root-cause analysis (RCA) is a method of problem solving used for identifying the root causes of faults or problems. It
Root-cause_analysis
Arithmetic operation
the natural numbers such as real, complex, or ordinal numbers. The two inverses of tetration are called super-root and super-logarithm. They are respectively
Tetration
English actress (born 1963)
Amanda Root (born 1963) is a British actress. She is perhaps best known for her starring role as Anne Elliot in the 1995 BBC adaptation of Persuasion.
Amanda_Root
Mathematical symbol denoting a root
principal square root of other complex numbers, see Square root § Principal square root of a complex number. The origin of the root symbol √ is largely speculative
Radical_symbol
Number of arguments required by a function
fractional part, sign, absolute value, square root (the principal square root), complex conjugate (unary of "one" complex number, that however has two parts at
Arity
2018 asymmetric board game
Root: A Game of Woodland Might and Right is a 2018 asymmetric strategy wargame board game designed by Cole Wehrle, illustrated by Kyle Ferrin, and published
Root_(board_game)
Topics referred to by the same term
programs nth root of a number Root of unity, a complex number which is an nth root of one Root of an equation, a solution of the equation Root of a function
Root_(disambiguation)
Intel embedded system on a chip
general control or expanded peripheral connections PCI Express: PCIe root complex interface in 1 ×8, 2 ×4, or 2 ×1 configurations Storage: 2× SATA (Gen1
Tolapai
In mathematics, a non-algebraic number
mathematics, a transcendental number is a real or complex number that is not algebraic: that is, not the root of a non-zero polynomial with integer (or, equivalently
Transcendental_number
Formula for solving a quadratic equation
has one repeated real root; and when Δ<0, the equation has no real roots but has two distinct complex roots, which are complex conjugates of each other
Quadratic_formula
Boundary set in the complex plane
(of order greater than 1), it divides the complex plane into regions Gk, each of which is associated with a root ζk of the polynomial, k = 1, …, deg(p).
Newton_fractal
Root of Glycyrrhiza glabra
roots of liquorice, are phytoestrogens. The scent of liquorice root comes from a complex and variable combination of compounds, of which anethole is some
Liquorice
Procedure to disinfect and fortify the interior of a tooth
Root canal treatment (also known as endodontic therapy, endodontic treatment, or root canal therapy) is a treatment sequence for the infected pulp of
Root_canal_treatment
American engineering and defense contractor
KBR, Inc. (formerly Kellogg Brown & Root) is a U.S. based company operating in fields of science, technology and engineering. KBR works in various markets
KBR,_Inc.
Number of times an object must be counted for making true a general formula
example, the number of times a given polynomial has a root at a given point is the multiplicity of that root. The notion of multiplicity is important to be able
Multiplicity_(mathematics)
Arithmetic operation
number has a real nth root, which is negative, if n is odd, and no real root if n is even. In the latter case, whichever complex nth root one chooses for x1n
Exponentiation
Geometric representation of the complex numbers
one continuous motion in the complex plane has transformed the positive square root e0 = 1 into the negative square root eiπ = −1. This problem arises
Complex_plane
Matrix B such that B² equals a given matrix A
fail to have a real square root, but may have a square root with complex-valued entries. But some matrices have no square root. An example is the matrix
Square_root_of_a_matrix
Methods for locating real roots of a polynomial
algorithm does not find any root, one does not know whether it is because there is no real root. Some algorithms compute all complex roots, but, as there are
Real-root_isolation
Massively parallel and scalable supercomputer
system and system-relevant drivers. Technically, the CPU serves as a root complex for the PCIe fabric. The PCIe switch extends the host CPU's limited number
QPACE2
Algorithms for calculating square roots
Square root algorithms compute the non-negative square root S {\displaystyle {\sqrt {S}}} of a positive real number S {\displaystyle S} . Since all square
Square_root_algorithms
Root vegetable in the Brassica family
American English) or swede (British English and some Commonwealth English) is a root vegetable, a form of Brassica napus (which also includes rapeseed). Other
Rutabaga
Polynomial with reversed root positions
degp=degp∗ if a0 is not 0. p(x)=xnp∗(x−1). α is a root of a polynomial p if and only if α−1 is a root of p∗ or if α=0 and p∗ is of lower degree than p
Reciprocal_polynomial
Family of solutions to related differential equations
and second kinds for complex (non-real) z so long as |z| goes to infinity at a constant phase angle arg z (using the square root having positive real
Bessel_function
Type of plant tissue involved in cell proliferation
between KNOX expression and a complex leaf morphology. Though each plant grows according to a certain set of rules, each new root and shoot meristem can go
Meristem
Unique positive real number which when multiplied by itself gives 2
The square root of 2 (approximately 1.4142) is the positive real number that, when multiplied by itself or squared, equals the number 2. It may be written
Square_root_of_2
High-speed interconnect technology
multiprocessor peer-to-peer systems, as the basic PCIe assumption of a "root complex" creates fault tolerance and system management issues. Another alternative
RapidIO
Relationship between the rational roots of a polynomial and its extreme coefficients
In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational
Rational_root_theorem
Geometry of the location of polynomial roots
real root into a complex root with a rather large imaginary part (see Wilkinson's polynomial). A consequence is that, for classical numeric root-finding
Geometrical properties of polynomial roots
Geometrical_properties_of_polynomial_roots
C standard library header file
a new _Complex keyword (and complex convenience macro; only available if the <complex.h> header is included) that provides support for complex numbers
C_mathematical_functions
} where b and c are arbitrary real or complex values. Otherwise M has no square root. If M is an idempotent matrix, meaning that MM = M,
Square root of a 2 by 2 matrix
Square_root_of_a_2_by_2_matrix
Part of a plant
The exodermis is a physiological barrier that has a role in root function and protection. The exodermis is a membrane of variable permeability responsible
Exodermis
American comics series
Bitter Root is an American comic book series, co-created by Sanford Greene, Chuck Brown and David F. Walker. Published by Image Comics, the series is set
Bitter_Root
Change of the sign of a square root
x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}} . Complex conjugation is the special case where the square root is i = − 1 , {\displaystyle i={\sqrt {-1}},}
Conjugate_(square_roots)
The Atlantis Complex," the Amorphobots are introduced as gelatinous robots crafted by Foaly for a Mars probe mission. However, Turnball Root seizes control
List of Artemis Fowl characters
List_of_Artemis_Fowl_characters
Region of soil or substrate comprising the root microbiome
the proteins and sugars released by roots, termed root exudates. This symbiosis leads to more complex interactions, influencing plant growth and competition
Rhizosphere
Gifted person with broad knowledge
individual whose knowledge spans many different subjects, known to draw on complex bodies of knowledge to solve specific problems. Polymaths often prefer
Polymath
Central Public Sector Undertaking pvy ltd
facilities to cater to the complex requirement are built within the Complex which includes ECTS and CPP. The grass root complex is located at a distance
GAIL
Distance from zero to a number
non-negative real number (x2+y2), the absolute value of a complex number z is the square root of z⋅z‾, which is therefore called the absolute square or
Absolute_value
Terminology in physics
signals and systems using sinusoids, field quantities and root-power quantities may be complex-valued,[disputed – discuss] as in the propagation constant
Power, root-power, and field quantities
Power,_root-power,_and_field_quantities
of F into the complex numbers the image lies inside the real numbers. Equivalent conditions are that F is generated over Q by one root of an integer polynomial
Totally_real_number_field
Theorem on holomorphic functions
In complex analysis, the open mapping theorem states that if U {\displaystyle U} is a domain of the complex plane C {\displaystyle \mathbb {C} } and f
Open mapping theorem (complex analysis)
Open_mapping_theorem_(complex_analysis)
Species of fungus
distributed throughout the different biogeoclimatic zones of British Columbia, the root disease causes the greatest problem in the interior parts of the region in
Armillaria_ostoyae
Polynomial equation, generally univariate
efficiently accurate approximations of the real or complex solutions of a univariate algebraic equation (see Root-finding algorithm) and of the common solutions
Algebraic_equation
Most basic form of words in the Proto-Indo-European language
by adding further morphemes to a root and potentially changing the root's vowel in a process called ablaut. A root consists of a central vowel that is
Proto-Indo-European_root
English affixes added before a word
meaning) that are added before either simple roots or complex bases (or operands) consisting of (a) a root and other affixes, (b) multiple roots, or (c) multiple
English_prefix
Fixed number that has received a name
during pre-college education in many countries. The square root of 2, often known as root 2 or Pythagoras' constant, and written as √2, is the unique
Mathematical_constant
Root mucilage is made of plant-specific polysaccharides or long chains of sugar molecules. This polysaccharide secretion of root exudate forms a gelatinous
Root_mucilage
Product of a number by itself
that is zero if and only if the complex number is zero. It is easier to compute than the absolute value (no square root), and is smooth as a real-valued
Square_(algebra)
Inferiority complex among Brazilians regarding their nation
"Mongrel complex", or alternatively "mutt complex" (Portuguese: complexo de vira-lata, lit. 'street dog complex, mutt complex, stray dog complex'), is an
Mongrel_complex
Root of a quadratic polynomial with a unit leading coefficient
of the usual integers to quadratic fields. A complex number is called a quadratic integer if it is a root of some monic polynomial (a polynomial whose
Quadratic_integer
Function that, applied twice, gives another function
In mathematics, a functional square root (sometimes called a half iterate) is a square root of a function with respect to the operation of function composition
Functional_square_root
Removal of square roots from denominators
In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated
Rationalisation_(mathematics)
Shoot growing from an adventitious bud
propagation. The complex of clonal individuals and the originating plant comprise a single genetic individual, i.e., a genet. The individual root sprouts are
Basal_shoot
133-dimensional exceptional simple Lie group
for the corresponding root lattice, which has rank 7. The designation E7 comes from the Cartan–Killing classification of the complex simple Lie algebras
E7_(mathematics)
Group controlling representation theory
closed field K, then its Langlands dual group LG is the complex connected reductive group whose root datum is dual to that of G. Examples: The Langlands dual
Langlands_dual_group
Genus of fungi
Armillaria can be a destructive forest pathogen. It causes "white rot" root disease. As it feeds on dead plant material, it can kill its host with little
Armillaria
Causal diagrams created by Kaoru Ishikawa
the ribs branch off the backbone for major causes, with sub-branches for root-causes, to as many levels as required. Ishikawa diagrams were popularized
Ishikawa_diagram
Geometric relation between the roots of a polynomial and those of its derivative
zeros of the polynomial P, the complex number α is the leading coefficient of P and n is the degree of P. For any root z {\displaystyle z} of P ′ {\displaystyle
Gauss–Lucas_theorem
Species of plant used as a spice
Ginger (Zingiber officinale) is a flowering plant whose rhizome, ginger root or ginger, is widely used as a spice and a folk medicine. It is an herbaceous
Ginger
Plant part
nitrogen-fixing root nodules are in the legume family Fabaceae, there are a few exceptions: Actinorhizal plants such as alder and bayberry can form less complex nitrogen-fixing
Root_nodule
Polynomial root-finding algorithm
a single dominant root, regardless of whether it is real or complex. If a root is part of a complex conjugate pair, then each root in the pair has the
Bernoulli's_method
Novel by Eoin Colfer
Artemis Fowl and the Atlantis Complex, known in America as Artemis Fowl: The Atlantis Complex, is the seventh book in the Artemis Fowl series. It was
Artemis Fowl and the Atlantis Complex
Artemis_Fowl_and_the_Atlantis_Complex
Field of dentistry which studies the interior tissue of teeth
involve the root surface. These include apicoectomy (removal of a root end), root resection (removal of an entire root), repair of an injured root due to perforation
Endodontics
Science fantasy book series by Eoin Colfer
The Atlantis Complex. A minor antagonist in the first novel, Cudgeon was an ex-LEP lieutenant who was humiliated by Commander Julius Root and had the misfortune
Artemis_Fowl
Polynomial root-finding algorithm
)}{\bigl (}nH-G^{2}{\bigr )}}}}},} where in this case, the square root of the (possibly) complex number is chosen to produce largest absolute value of the denominator
Laguerre's_method
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