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Concept in Nielsen theory
mathematics, the fixed-point index is a concept in topological fixed-point theory, and in particular Nielsen theory. The fixed-point index can be thought
Fixed-point_index
Mapping theorem in topology
sometimes called Lefschetz-Hopf theorem counts fixed points with respect to their fixed-point index, provided that their number is finite. There is also
Lefschetz_fixed-point_theorem
Mathematical branch
as the Nielsen fixed-point theorem: Any map f has at least N(f) fixed points. Because of its definition in terms of the fixed-point index, the Nielsen number
Nielsen_theory
Theorem in topology
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. Brouwer. It states that for any continuous function f {\displaystyle
Brouwer_fixed-point_theorem
Fixed-point theorem for smooth manifolds
the Atiyah–Bott fixed-point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed-point theorem for smooth
Atiyah–Bott fixed-point theorem
Atiyah–Bott_fixed-point_theorem
American mathematician
D. in 1969 from the University of Chicago with thesis The Fixed Point Index and Fixed Point Theorems for K-Set Contractions supervised by Felix Browder
Roger_D._Nussbaum
Theorem in order and lattice theory
its most general form, and so the theorem is often known as Tarski's fixed-point theorem. Some time earlier, Knaster and Tarski established the result
Knaster–Tarski_theorem
Theorem in computability theory
function F {\displaystyle F} on the natural numbers, a fixed point of F {\displaystyle F} is an index e {\displaystyle e} in the domain of F {\displaystyle
Kleene's_recursion_theorem
"80% not to exceed $250,000." There are two types of fixed annuities: traditional fixed and indexed annuities. (A third type of annuity, called a variable
Fixed_annuity
Implementation of arithmetic operations
operations. It includes: Fixed-size arithmetic "Integer arithmetic", which in practice is modular arithmetic by a power of 2. Fixed-point arithmetic Modular
Computer_arithmetic
Theorem in symplectic topology
systems, Poincaré–Birkhoff theorem (also known as Poincaré–Birkhoff fixed point theorem and Poincaré's last geometric theorem) states that every area-preserving
Poincaré–Birkhoff_theorem
Mandelbar Set
along an arc consisting of the set of parameters where the parabolic fixed point index is at least 1. In particular, every parabolic arc has, at both ends
Tricorn_(mathematics)
Statistical measure of change
indices include the Consumer Price Index (CPI), which shows how retail prices for goods and services shift in a fixed area, aiding adjustments to salaries
Index_(economics)
of principal. An equity index annuity is a contract with an insurance or annuity company. The returns may be higher than fixed instruments such as certificates
Equity-indexed_annuity
Problem in computer science
Python code below, A [ j ] {\displaystyle A[j]} is expressed as x, with the index j {\displaystyle j} left implicit. While Bentley (1989) does not mention
Maximum_subarray_problem
British stock market index
Index, also called the FTSE 100 Index, FTSE 100, FTSE or, informally, the "Footsie" /ˈfʊtsi/, is the United Kingdom's best-known stock market index and
FTSE_100_Index
conjugation of any rational map at its fixed point; used to check stability of periodic (also fixed) points with stability index a b s ( λ ) . {\displaystyle abs(\lambda
Periodic points of complex quadratic mappings
Periodic_points_of_complex_quadratic_mappings
Knaster–Kuratowski–Mazurkiewicz lemma is a basic result in mathematical fixed-point theory published in 1929 by Knaster, Kuratowski and Mazurkiewicz. The
Knaster–Kuratowski–Mazurkiewicz lemma
Knaster–Kuratowski–Mazurkiewicz_lemma
Blue-chip stock market index of Switzerland
The composition of the index is reviewed annually on the third Friday in September.[citation needed] The SMI comprises a fixed number of 20 securities
Swiss_Market_Index
Bicycle that has a drivetrain with no freewheel mechanism
A fixed-gear bicycle or fixie is a bicycle that has a drivetrain with no freewheel mechanism, meaning the pedals always spin together with the rear wheel
Fixed-gear_bicycle
Computer approximation for real numbers
computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a significand (a signed sequence of a fixed number of digits
Floating-point_arithmetic
Geospatial vector data format
The index contains positional index of the feature geometry and the same 100-byte header as the .shp file, followed by any number of 8-byte fixed-length
Shapefile
American financial service provider
Retrieved April 29, 2022. "MSCI and MarketAxess collaborate on liquidity fixed income indexes". SecuritiesFinanceTimes.com. Archived from the original on April
MSCI
American market making firm
depositary receipts but has since traded exchange-traded funds, commodities, index, fixed income, and derivative products. The firm does not maintain a standard
Jane_Street_Capital
Dental restoration for missing teeth
A bridge is a fixed dental restoration (a fixed dental prosthesis) used to replace one or more missing teeth by joining an artificial tooth definitively
Bridge_(dentistry)
One hundredth of one percentage point
including the yields of fixed-income securities. Since certain loans and bonds may commonly be quoted in relation to some index or underlying security
Basis_point
Measure of computer performance
for intermediate results). Floating-point representations can support a much wider range of values than fixed-point, with the ability to represent very
Floating point operations per second
Floating_point_operations_per_second
value rather than an address Indexed The instruction specifies a register to use as an index. In some architecture the index is scaled by the operand length
Comparison of instruction set architectures
Comparison_of_instruction_set_architectures
Measure of similarity and diversity between sets
The Jaccard index is a statistic used for gauging the similarity and diversity of sample sets. It is defined in general taking the ratio of two sizes
Jaccard_index
Group of geometric symmetries with at least one fixed point
In geometry, a point group is a mathematical group of symmetry operations (isometries in a Euclidean space) that have a fixed point in common. The coordinate
Point_group
Relative weight based on mass and height
Body mass index (BMI) is a value derived from the mass (weight) and height of a person. BMI is calculated as the body mass, in kilograms (kg), divided
Body_mass_index
Statistics of the U.S. Bureau of Labor Statistics
The United States Consumer Price Index (CPI) is a family of various consumer price indices published monthly by the United States Bureau of Labor Statistics
Consumer price index in the United States
Consumer_price_index_in_the_United_States
32-bit computer number format
values by using a floating radix point. A floating-point variable can represent a wider range of numbers than a fixed-point variable of the same bit width
Single-precision floating-point format
Single-precision_floating-point_format
Dynamic mechanical properties of pneumatic tires
technologies in use. These include Contact Stylus, Capacitive Sensors, Fixed-Point Laser Sensors, and Sheet-of-Light Laser Sensors. Contact Stylus technology
Tire_uniformity
British-Lebanese mathematician (1929–2019)
Raoul Bott on the Atiyah–Bott fixed-point theorem and many other topics, with Isadore M. Singer on the Atiyah–Singer index theorem, and with Friedrich Hirzebruch
Michael_Atiyah
Method in computer arithmetic
Block floating point (BFP) is a method used to provide an arithmetic approaching floating point while using a fixed-point processor. BFP assigns a group
Block_floating_point
IEEE standard for floating-point arithmetic
exchange of floating-point data using a bit string of fixed length for a given format. For the exchange of binary floating-point numbers, interchange
IEEE_754
Computer data structure
is “able to index objects that are represented as feature vectors of a fixed number of dimensions." The time cost to build a vantage-point tree is approximately
Vantage-point_tree
Belgian mathematician (1930–2021)
subgroup of a linear group, then either G has a solvable subgroup of finite index or it has a free subgroup of rank 2. The Tits group and the Kantor–Koecher–Tits
Jacques_Tits
Theorem in dynamical systems theory
flows. It is a far-reaching generalization of the Hopf index theorem that predicts existence of fixed points of a flow inside a planar region in terms of
Conley_index_theory
Theorem in differential topology
even-dimensional sphere into itself has either a fixed point or a point that maps onto its own antipodal point. This can be seen by transforming the function
Hairy_ball_theorem
Statistic to indicate the change in typical household expenditure
within its scope in the area covered. Thus, the index is a fixed-weight index but rarely a true Laspeyres index since the weight-reference period of a year
Consumer_price_index
Fixed-point theorem
order theory, named after Nicolas Bourbaki and Ernst Witt, is a basic fixed-point theorem for partially ordered sets. It states that if X is a non-empty
Bourbaki–Witt_theorem
Indian stock market index
provide a guaranteed fixed return are not eligible for inclusion in the NIFTY indices. To be considered for inclusion in NIFTY 500 index, companies must form
NIFTY_500
Price of a representative basket of wholesale goods
now report a producer price index (PPI) instead. It also influences stock and fixed price markets. The wholesale price index (WPI) is based on the wholesale
Wholesale_price_index
Model that describes the programmable interface of a computer processor
decremented index word (BDX) Branch incremented index word (BIX) IBM 7090 Transfer on index (TIX) Transfer on index high (TXH) Transfer on index low or equal
Instruction_set_architecture
Number assigned to food
ingested. The index is similar to the glycemic index (GI) and glycemic load (GL), but rather than relying on blood glucose levels, the Insulin Index is based
Insulin_index
C function to format and output text
field of width 5; F10.2 indicates a floating-point field of width 10 with 2 digits after the decimal point. An output with input arguments 100, 200, and
Printf
Measurement of risk in a portfolio
Fixed-income attribution is the process of measuring returns generated by various sources of risk in a fixed income portfolio, particularly when multiple
Fixed-income_attribution
Type of transfinite numbers
Neumann representation of ordinals. Larger ordinal fixed points of the exponential map are indexed by ordinal subscripts, resulting in ε 1 , ε 2 , …
Epsilon_number
American investment company
company. Founded in 1988, initially as an enterprise risk management and fixed income institutional asset manager, BlackRock is the largest asset manager
BlackRock
Trading firm
specializing in trading and proprietary investments in equities, fixed income, energy, commodity, index and derivative products, private equity and venture capital
Susquehanna International Group
Susquehanna_International_Group
Counts 0s of a vector field on a differentiable manifold using its Euler characteristic
Poincaré–Hopf theorem (also known as the Poincaré–Hopf index formula, Poincaré–Hopf index theorem, or Hopf index theorem) is an important theorem in differential
Poincaré–Hopf_theorem
Canadian bridge from Prince Edward Island to the mainland
official naming, Prince Edward Islanders often referred to the bridge as the "Fixed Link". It officially opened to traffic on May 31, 1997. The bridge is a
Confederation_Bridge
Credit derivative
spread, the fixed (or running) spread (as defined in the index documentation) is paid. It also means that coupon payments are not at fixed intervals starting
Credit_default_swap_index
Measure of a fixed-income instrument's sensitivity to interest rates
In finance, duration is a measure of how the price of a fixed-income instrument responds to a change in interest rates. It is used to compare rate risk
Duration_(finance)
16-bit computer number format
floating-point computer number format that occupies 16 bits (two bytes in modern computers) in computer memory. It is intended for storage of floating-point values
Half-precision floating-point format
Half-precision_floating-point_format
down to the intended 'point'. This is potentially useful for land and naval usage of fixed-wing UAVs. Patent 4,790,497 "Point-landing method for non
PTOL
Index that describes the performance of a dichotomous diagnostic test
ROC curve, and the maximum value of the index may be used as a criterion for selecting the optimum cut-off point when a diagnostic test gives a numeric
Youden's_J_statistic
Instrument for measuring humidity
and a bar of charcoal on the other end and attaching a fixed lifting string to the middle point to make the staff horizontal in dry air, an ancient hygrometer
Hygrometer
Type of mutual fund or exchange-traded fund
expenses, the performance of a stock market index or bond market index by holding the same securities as the index in the same proportions or, in the case
Index_fund
Data structure in a Unix file system
An inode (index node) is a data structure in a Unix-style file system that describes a file-system object such as a file or a directory. Each inode stores
Inode
Scoring system in golf
would increase the fixed score on holes indexed 1 through 12, a 24 handicap player would increase the score by two on holes indexed 1 through 6 and by
Stableford
The following is a comprehensive index of all games released in 2026, sorted chronologically by release date, and divided by quarter. Information regarding
List of video games released in 2026
List_of_video_games_released_in_2026
Tree-based computer data structure
A B-tree index can be used to improve performance. A B-tree index creates a multi-level tree structure that breaks a database down into fixed-size blocks
B-tree
Groups of point isometries in 3 dimensions
In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry
Point groups in three dimensions
Point_groups_in_three_dimensions
Coordinate system using perpendicular axes
specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented
Cartesian_coordinate_system
A technique by which a climber descends via a fixed rope that is firmly attached to a fixed anchor point, which is also known as an "abseil station". See
Glossary_of_climbing_terms
Assignment of a vector to each point in a subset of Euclidean space
point, that is, the amount to which the flow circulates around a fixed axis. This intuitive description is made precise by Stokes' theorem. The index
Vector_field
Spherical lens
refractive index (n) greater than air (n > 1.00) bends parallel rays of light to a focal point. For most glassy materials the focal point is only slightly
Ball_lens
Bonds issued by the UK government
government which pays the holder a fixed cash payment (or coupon) every six months until maturity, at which point the holder receives their final coupon
Gilt-edged_securities
Series whose partial sums eventually only have a fixed number of terms after cancellation
occurs in the derivation of a probability density function; Lefschetz fixed-point theorem, where a telescoping sum arises in algebraic topology; Homology
Telescoping_series
Chemical compound
Melting point −73.2 °C (−99.8 °F; 200.0 K) Boiling point 178 °C (352 °F; 451 K) Solubility in water 118 mg/L Solubility soluble in most fixed oils insoluble
Isoamyl_butyrate
Theorem in topology
theorem. Therefore, these two theorems are equivalent. There are several fixed-point theorems which come in three equivalent variants: an algebraic topology
Borsuk–Ulam_theorem
Dividing head
Interchangeable indexing plates are used when the work must be rotated to an angle not available on the direct indexing plate. Because the hand crank is fixed to the
Indexing_head
US total stock market index
The Wilshire 5000 Index (previously the FT Wilshire 5000 Index or Wilshire 5000 Total Market Index), or simply the Wilshire 5000, is a free-float capitalization-weighted
Wilshire_5000
This page is an index of accounting topics. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Accounting ethics - Accounting information system - Accounting
Index_of_accounting_articles
Encoding Fixed Branching Condition indicators Compare and branch Registers Accumulator 6 index registers (in memory) General-purpose none Floating-point none
GE-400_series
March 2026. List of countries by number of Internet users "Speedtest Global Index – Internet Speed around the world". Ookla. March 2026. akamai's [state of
List of countries by Internet connection speeds
List_of_countries_by_Internet_connection_speeds
Extension of propositional modal logic
many modalities) by adding the least fixed point operator μ and the greatest fixed point operator ν, thus a fixed-point logic. The (propositional, modal)
Modal_μ-calculus
Decimal representation of real numbers in computing
floating-point representation over decimal fixed-point and integer representation is that it supports a much wider range of values. For example, while a fixed-point
Decimal_floating_point
Fingerprinting FISH (Fluorescent in situ hybridization) Fitness (biology) Fixed allele Flow cytometry Flow karyotyping Fluctuation test Fluorescent in situ
Index_of_genetics_articles
Cold War-era passive, fixed array undersea surveillance system
NAVFAC Barbers Point closes with acoustic data directed to NOPF, Ford Island. The Fixed Distributed System (FDS) test array, a new type of fixed bottom system
SOSUS
Instrument of indebtedness
"Interest Only" (IO) strip bond from the original fixed income bond. Inflation-indexed bonds (linkers) (US) or index-linked bonds (UK), in which the principal
Bond_(finance)
Mapping arbitrary data to fixed-size values
hashes. The values are usually used to index a fixed-size table called a hash table. Use of a hash function to index a hash table is called hashing or scatter-storage
Hash_function
Index of chemical compounds with the same name
the trade name for two related antibiotic drugs: Ampicillin/sulbactam, a fixed-dose combination medication of the penicillin antibiotic combination ampicillin/sulbactam
Unasyn
Framework for cross-cultural communication
the Power Distance Index (PDI), Individualism vs. Collectivism (IDV), Masculinity vs. Femininity (MAS), the Uncertainty Avoidance Index (UAI), Long-Term
Hofstede's cultural dimensions theory
Hofstede's_cultural_dimensions_theory
Virtual reality headset by Valve
systems that use fixed cameras or sensors to monitor the tracked objects from outside. In addition to the base stations, the Index's headset and controllers
Valve_Index
Indian holiday
Governance Index, "a scientifically prepared tool based on various parameters of good governance which assess the level of any state at a given point of time
Good_Governance_Day
Economic Model
} is a fixed positive constant. By the weak Walras law, this function is well-defined. By Brouwer's fixed-point theorem, it has a fixed point. By the
Arrow–Debreu_model
Economic theory
the entire production process as additional units of labor are added to a fixed amount of capital. The law of diminishing returns remains an important consideration
Diminishing_returns
Scalar measure of the rotational inertia with respect to a fixed axis of rotation
{\displaystyle \mathbf {v} _{i}} relative to a fixed reference frame. For a (possibly moving) reference point R {\displaystyle \mathbf {R} } , the relative
Moment_of_inertia
Procedural, imperative computer programming language
recursion, structured programming, linked data structure handling, fixed-point, floating-point, complex, character string handling, and bit string handling
PL/I
Safety anti-skid braking system used on aerospace and land vehicles
The ECU detects two things: 1) if the deceleration of one wheel exceeds a fixed threshold and 2) whether the brake slip, calculated based on information
Anti-lock_braking_system
Isomorphism between the tangent and cotangent bundles of a manifold
raising and lowering of indices. Raising and lowering indices are a form of index manipulation in tensor expressions. In certain specialized applications
Musical_isomorphism
Hedge fund company in New York, US
employee-owned and SEC-registered investment advisor. Third Point primarily invests in public equity, fixed income, and ADR markets globally and deploys an investment
Third_Point
Variant of floating-point numbers in computers
floating point (TFP) is a format similar to floating point, but with variable-sized entries for the significand and exponent instead of the fixed-length
Tapered_floating_point
Devaluation of money's purchasing power
Hall & Taylor 1993; Blanchard 2021; The consumer price index measures movements in prices of a fixed basket of goods and services purchased by a "typical
Inflation
Software that systematically browses the World Wide Web
found that individual engines indexed only a fraction of the then-indexable web. Modern search engines use crawling, indexing, and ranking systems to return
Web_crawler
Standard derivative product
year-on-year inflation-indexed swap (YYIIS) is a standard derivative product over inflation rate. The underlying is a single consumer price index (CPI). The first
Year-on-year inflation-indexed swap
Year-on-year_inflation-indexed_swap
travel, tourism, insurance
FIXED POINT-INDEX
FIXED POINT-INDEX
FIXED POINT-INDEX
FIXED POINT-INDEX
FIXED POINT-INDEX
FIXED POINT-INDEX
FIXED POINT-INDEX
FIXED POINT-INDEX
FIXED POINT-INDEX
travel, tourism, insurance