**displaystyle**- One can define reflections such as V x : ( x y z ) ↦ ( − x y z ) , {\displaystyle V_{x}:{\begin{pmatrix}x\\y\\z\end{pmatrix}}\mapsto {\begin{pmatrix}-x\\y\\z\end{pmatrix}},} which also have negative determinant and form a valid parity transformation. (wikipedia.org)
- Newton's equation of motion F → = m a → {\displaystyle {\vec {F}}=m\,{\vec {a}}} (if the mass is constant) equates two vectors, and hence is invariant under parity. (wikipedia.org)
- Without baryon and lepton number being conserved and taking O ( 1 ) {\displaystyle {\mathcal {O}}(1)} couplings for the R-parity violating couplings, the proton can decay in approximately 10−2 seconds or if minimal flavor violation is assumed the proton lifetime can be extended to 1 year. (wikipedia.org)
- psi \rangle } allowing only eigenvalues of η C = ± 1 {\displaystyle \eta _{C}=\pm 1} the so-called C-parity or charge parity of the particle. (wikipedia.org)
- Since charge parity is preserved, annihilation of these states in photons (ηC(γ) = −1) must be: π 0 → 3 γ {\displaystyle \pi ^{0}\rightarrow 3\gamma } : The neutral pion, π 0 {\displaystyle \pi ^{0}} , is observed to decay to two photons,γ+γ. (wikipedia.org)
- We can infer that the pion therefore has η C = ( − 1 ) 2 = 1 {\displaystyle \eta _{C}=(-1)^{2}=1} , but each additional γ introduces a factor of -1 to the overall C parity of the pion. (wikipedia.org)
- The n {\displaystyle n} -variable parity function is the Boolean function f : { 0 , 1 } n → { 0 , 1 } {\displaystyle f:\{0,1\}^{n}\to \{0,1\}} with the property that f ( x ) = 1 {\displaystyle f(x)=1} if and only if the number of ones in the vector x ∈ { 0 , 1 } n {\displaystyle x\in \{0,1\}^{n}} is odd. (wikipedia.org)
- The precise result is that depth-k circuits with AND, OR, and NOT gates require size exp ( Ω ( n 1 k − 1 ) ) {\displaystyle \exp(\Omega (n^{\frac {1}{k-1}}))} to compute the parity function. (wikipedia.org)
- We can generalize the C-parity so it applies to all charge states of a given multiplet: G ( π + π 0 π − ) = η G ( π + π 0 π − ) {\displaystyle {\mathcal {G}}{\begin{pmatrix}\pi ^{+}\\\pi ^{0}\\\pi ^{-}\end{pmatrix}}=\eta _{G}{\begin{pmatrix}\pi ^{+}\\\pi ^{0}\\\pi ^{-}\end{pmatrix}}} where ηG = ±1 are the eigenvalues of G-parity. (wikipedia.org)
- Thus, only multiplets with an average charge of 0 will be eigenstates of G, that is Q ¯ = B ¯ = Y ¯ = 0 {\displaystyle {\bar {Q}}={\bar {B}}={\bar {Y}}=0} (see Q, B, Y). In general η G = η C ( − 1 ) I {\displaystyle \eta _{G}=\eta _{C}\,(-1)^{I}} where ηC is a C-parity eigenvalue, and I is the isospin. (wikipedia.org)
- The complication arises from the fact that the 3-dimensional Majorana mass term, m ψ ¯ ψ {\displaystyle m{\overline {\psi }}\psi } is not parity invariant, therefore the possibility exists that the parity invariance may remain when the mass goes to infinity. (wikipedia.org)

**Mental Health Parity**- Five years after the Mental Health Parity and Addiction Equity Act took effect, access to equal benefits and qualified providers remains elusive for many insured Americans. (rwjf.org)
- The following brief provides an update to a previ-ously published brief on Mental Health Parity, now with a focus on enforcement. (rwjf.org)

**Risk Parity Portfolio**- The risk parity approach asserts that when asset allocations are adjusted (leveraged or deleveraged) to the same risk level, the risk parity portfolio can achieve a higher Sharpe ratio and can be more resistant to market downturns than the traditional portfolio. (wikipedia.org)
- Roughly speaking, the approach of building a risk parity portfolio is similar to creating a minimum-variance portfolio subject to the constraint that each asset (or asset class, such as bonds, stocks, real estate, etc.) contributes equally to the portfolio overall volatility. (wikipedia.org)
- According to Bob Prince, CIO at Bridgewater Associates, the defining parameters of a traditional risk parity portfolio are uncorrelated assets, low equity risk, and passive management. (wikipedia.org)
- Some scholars contend that a risk parity portfolio requires strong management and continuous oversight to reduce the potential for negative consequences as a result of leverage and allocation building in the form of buying and selling of assets to keep dollar holdings at predetermined and equalized risk levels. (wikipedia.org)
- For example, if the price of a security goes up or down and risk levels remain the same, the risk parity portfolio will be adjusted to keep its dollar exposure constant. (wikipedia.org)
- The extent to which a risk parity portfolio is managed, is often the distinguishing characteristic between the various kinds of risk parity funds available today. (wikipedia.org)

**Palgrave Dictionary of Economics**- covered interest parity ," The New Palgrave Dictionary of Economics , Palgrave Macmillan. (repec.org)

**Purchasing Power**- This article expounds the purchasing power parity (PPP) hypothesis as a theory of exchange rate determination. (springer.com)
- Testing deviations from purchasing power parity (PPP). (springer.com)
- The purchasing power parity doctrine: A reappraisal. (springer.com)
- The purchasing power parity theory: In defense of Gustav Cassel as a modern theorist. (springer.com)
- Purchasing Power Parity (PPP) compares different countries' currencies through a market "basket of goods" approach. (investopedia.com)
- Purchasing Power Parity (PPP) is an economic hypothesis for international trade . (everything2.com)

**invariant**- If one adds to this a classification by parity, these can be extended, for example, into notions of scalars (P = +1) and pseudoscalars (P = −1) which are rotationally invariant. (wikipedia.org)
- The law of gravity also involves only vectors and is also, therefore, invariant under parity. (wikipedia.org)
- Given that charge conjugation and isospin are preserved by strong interactions, so is G. Weak and electromagnetic interactions, though, are not invariant under G-parity. (wikipedia.org)
- In theoretical physics a quantum field theory is said to have a parity anomaly if its classical action is invariant under a change of parity of the universe, but the quantum theory is not invariant. (wikipedia.org)
- Consider a classically parity-invariant gauge theory whose gauge group G has dual coxeter number h in 3-dimensions. (wikipedia.org)
- If one includes a gauge-invariant regulator then the quantum parity invariance of the theory will be broken if h and n are odd. (wikipedia.org)
- These have parity invariant mass terms, and so Pauli-Villars may be used to regulate the divergences and no parity anomaly arises. (wikipedia.org)

**particles**- We discuss a theorem of Csonka, Moravcsik, and Scadron on the nonexistence of purely kinematic parity experiments involving scattering processes with more than four particles. (umich.edu)
- All fundamental interactions of elementary particles, with the exception of the weak interaction, are symmetric under parity. (wikipedia.org)
- All Standard Model particles have R-parity of +1 while supersymmetric particles have R-parity of −1. (wikipedia.org)
- In physics, the C parity or charge parity is a multiplicative quantum number of some particles that describes their behavior under the symmetry operation of charge conjugation. (wikipedia.org)
- For a system of free particles, the C parity is the product of C parities for each particle. (wikipedia.org)
- In theoretical physics, G-parity is a multiplicative quantum number that results from the generalization of C-parity to multiplets of particles. (wikipedia.org)

**hypothesis**- This has motivated the study of R-parity violation where only one set of the R-parity violating couplings are non-zero which is sometimes called the single coupling dominance hypothesis. (wikipedia.org)

**1998**- In 1998 Parity member John Taylor went to the High Court to contest the fact that the government was denying winter fuel payments to men aged 60-65 that women were able to receive. (wikipedia.org)
- Jansen, Klaus (1998), "A new characterization for parity graphs and a coloring problem with costs", LATIN'98: theoretical informatics (Campinas, 1998), Lecture Notes in Comput. (wikipedia.org)

**2000**- In 2000 Parity took the Government to the European Court of Human Rights over the fact that it denied free bus travel to men aged 60-65. (wikipedia.org)

**bits**- Values of decoded bits of a first frame are deduced from known bits of a first parity vector having an effective length of one frame. (freepatentsonline.com)
- For parity vectors having an effective length greater than one frame, a Log Likelihood Ratio of each unknown bit associated with the first frame is updated based on known and unknown bits of each parity vector. (freepatentsonline.com)
- 3. The method as claimed in claim 1, wherein the bits of a parity vector are computed from a subset of rows or columns of rectangular product FEC frames. (freepatentsonline.com)
- and calculating a local Log Likelihood Ratio (LLR) of parity bits of the first parity vector corresponding to a subset of bits of a second FEC frame that has not been successfully decoded. (freepatentsonline.com)
- An algorithm that solves this problem must guess the function ƒ, given some samples (x, ƒ(x)) and the assurance that ƒ computes the parity of bits at some fixed locations. (wikipedia.org)
- A parity bit, or check bit, is a bit added to a string of binary code to ensure that the total number of 1-bits in the string is even or odd. (wikipedia.org)
- Parity bits are used as the simplest form of error detecting code. (wikipedia.org)
- There are two variants of parity bits: even parity bit and odd parity bit. (wikipedia.org)
- In the case of even parity, for a given set of bits, the occurrences of bits whose value is 1 is counted. (wikipedia.org)
- If the count of 1s in a given set of bits is already even, the parity bit's value is 0. (wikipedia.org)
- If the count of bits with a value of 1 is odd, the count is already odd so the parity bit's value is 0. (wikipedia.org)
- Parity bits are generally applied to the smallest units of a communication protocol, typically 8-bit octets (bytes), although they can also be applied separately to an entire message string of bits. (wikipedia.org)
- In telecommunications and computing, parity refers to the evenness or oddness of the number of bits with value one within a given set of bits, and is thus determined by the value of all the bits. (wikipedia.org)
- It can be calculated via an XOR sum of the bits, yielding 0 for even parity and 1 for odd parity. (wikipedia.org)
- If an odd number of bits (including the parity bit) are transmitted incorrectly, the parity bit will be incorrect, thus indicating that a parity error occurred in the transmission. (wikipedia.org)
- Parity bit checking is used occasionally for transmitting ASCII characters, which have 7 bits, leaving the 8th bit as a parity bit. (wikipedia.org)
- If an even number of bits have errors, the parity bit records the correct number of ones, even though the data is corrupt. (wikipedia.org)
- Consider the same example as before with an even number of corrupted bits: B observes even parity, as expected, thereby failing to catch the two bit errors. (wikipedia.org)
- In serial data transmission, a common format is 7 data bits, an even parity bit, and one or two stop bits. (wikipedia.org)
- In computer processors the parity flag indicates if the number of set bits is odd or even in the binary representation of the result of the last operation. (wikipedia.org)
- If the result of the last operation were 26 (11010 in binary), the parity flag would be 0 since the number of set bits is odd. (wikipedia.org)
- In x86 processors, the parity flag reflects the parity only of the least significant byte of the result, and is set if the number of set bits of ones is even (put another way, the parity bit is set if the sum of the bits is even). (wikipedia.org)

**1997**- The organisation changed its name to "Parity" in 1997 to reflect growing concern regarding increased unequal treatment of men and women in other areas by the state. (wikipedia.org)
- Di Stefano, Gabriele (1997), "On the equivalence in complexity among basic problems on bipartite and parity graphs", Algorithms and computation (Singapore, 1997), Lecture Notes in Comput. (wikipedia.org)

**pion**- psi \rangle } have exactly the same quantum charges, so only truly neutral systems - those where all quantum charges and the magnetic moment are zero - are eigenstates of charge parity, that is, the photon and particle-antiparticle bound states like the neutral pion, η or the positronium. (wikipedia.org)
- in the pion triplet, only π0 has C-parity. (wikipedia.org)

**generalization**- They also include the bipartite graphs, which may be characterized analogously as the graphs in which every two paths (not necessarily induced paths) between the same two vertices have the same parity, and the line perfect graphs, a generalization of the bipartite graphs. (wikipedia.org)

**vectors**- and the parity vectors are staggered with respect to any sequence in which the FEC frames are processed. (freepatentsonline.com)
- 2. The method as claimed in claim 1, wherein at least one of the parity vectors is computed using a binary Single Parity Check (SPC) encoding scheme. (freepatentsonline.com)

**particle**- R-parity is a concept in particle physics. (wikipedia.org)
- With R-parity being preserved, the lightest supersymmetric particle (LSP) cannot decay. (wikipedia.org)

**vector**- 5. The method as claimed in claim 4, wherein the subset of rows or columns associated with a first parity vector are interleaved with the subset of rows or columns associated with at least one other parity vector. (freepatentsonline.com)
- For example, in a bound state of two pions, π+ π− with an orbital angular momentum L, exchanging π+ and π− inverts the relative position vector, which is identical to a parity operation. (wikipedia.org)
- In Boolean algebra, a parity function is a Boolean function whose value is 1 if and only if the input vector has an odd number of ones. (wikipedia.org)

**angular**- This gives a multiplicity (2S+1) of 1 or 3, respectively The total orbital angular momentum quantum number is L = 0 (S, in spectroscopic notation) Total angular momentum quantum number is J = 0, 1 C parity ηC = (−1)L + S = +1, −1, respectively. (wikipedia.org)

**symmetric**- In interactions that are symmetric under parity, such as electromagnetism in atomic and molecular physics, parity serves as a powerful controlling principle underlying quantum transitions. (wikipedia.org)
- Parity only depends on the number of ones and is therefore a symmetric Boolean function. (wikipedia.org)

**1986**- Parity was formed in 1986 as the "Campaign for Equal State Pension Ages" (CESPA) and its principal aim was to obtain for men the same [state pension] age as enjoyed by women. (wikipedia.org)

**binary**- In mathematics, parity refers to the evenness or oddness of an integer, which for a binary number is determined only by the least significant bit. (wikipedia.org)
- Similarly, if the result were 10 (1010 in binary) then the parity flag would be 1. (wikipedia.org)
- Parity is calculated by summing all the binary inputs and reporting if the sum is odd or even. (wikipedia.org)

**graphs**- Parity graphs include the distance-hereditary graphs, in which every two induced paths between the same two vertices have the same length. (wikipedia.org)
- Because Meyniel graphs are perfect graphs, parity graphs are also perfect. (wikipedia.org)
- The same characterization also leads to generalizations of some graph optimization algorithms from bipartite graphs to parity graphs. (wikipedia.org)
- Parity graphs, Information System on Graph Classes and their Inclusions, retrieved 2016-09-25. (wikipedia.org)

**directed graph**- A parity game is played on a colored directed graph, where each node has been colored by a priority - one of (usually) finitely many natural numbers. (wikipedia.org)

**equivalent**- A parity product is functionally equivalent to a product offered by a competitor. (investopedia.com)
- Given that parity games are history-free determined, solving a given parity game is equivalent to solving the following simple looking graph-theoretic problem. (wikipedia.org)
- In sports, parity is when participating teams have roughly equivalent levels of talent. (wikipedia.org)

**exposure to risk**- Learn about how risk parity uses leverage to create equal exposure to risk among different asset classes in portfolio construction. (investopedia.com)

**compares**- A parity plot is a scatterplot that compares experimental data against tabulated data. (wikipedia.org)

**violation**- They were first introduced by Antti J. Niemi and Gordon Walter Semenoff in the letter Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times and by A. Norman Redlich in the letter Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions and the article Parity violation and gauge noninvariance of the effective gauge field action in three dimensions. (wikipedia.org)

**underlying asset**- Put-call parity is a principle that defines the relationship between the price of European put options and European call options of the same class, that is, with the same underlying asset , strike price and expiration date. (investopedia.com)
- Put-call parity states that simultaneously holding a short European put and long European call of the same class will deliver the same return as holding one forward contract on the same underlying asset, with the same expiration and a forward price equal to the option's strike price. (investopedia.com)

**therefore**- More recent parity regulations therefore require more fixtures for women to ensure that the average time spent waiting to use the toilet is the same for women as for men, or to equalise throughputs of men's and women's toilets. (wikipedia.org)

**regulations**- As the single largest payer for mental health services, HHS is under pres-sure from advocates to quickly finalize the regulations and extend parity protections to millions of beneficiaries covered by Medicaid. (rwjf.org)

**existence**- The existence of parity products means that a monopoly does not exist. (investopedia.com)

**principle**- However, as is elaborated below, in quantum mechanics states need not transform under actual representations of parity but only under projective representations and so in principle a parity transformation may rotate a state by any phase. (wikipedia.org)

**Check**- I get the blue screen error that says 'NMI : Parity Check/ Memory Error' Or something of the sort. (experts-exchange.com)
- Even parity is a special case of a cyclic redundancy check (CRC), where the 1-bit CRC is generated by the polynomial x+1. (wikipedia.org)
- One common reason to test the parity flag is to check an unrelated FPU flag. (wikipedia.org)
- They are a special case of rules in modular arithmetic, and are commonly used to check if an equality is likely to be correct by testing the parity of each side. (wikipedia.org)

**inputs**- The parity function of two inputs is also known as the XOR function. (wikipedia.org)

**integer**- It is important to realize that the above definition of parity applies only to integer numbers, hence it cannot be applied to numbers like 1/2, 4.201. (wikipedia.org)
- Integer coordinates of points in Euclidean spaces of two or more dimensions also have a parity, usually defined as the parity of the sum of the coordinates. (wikipedia.org)

**allocation**- Risk parity is an investment strategy that focuses on the allocation of risk across a portfolio. (investopedia.com)
- Risk parity (or risk premia parity) is an approach to investment portfolio management which focuses on allocation of risk, usually defined as volatility, rather than allocation of capital. (wikipedia.org)
- Risk parity is a conceptual approach to investing which attempts to provide a lower risk and lower fee alternative to the traditional portfolio allocation of 60% stocks and 40% bonds which carries 90% of its risk in the stock portion of the portfolio (see illustration). (wikipedia.org)

**coordinates**- In odd number of dimensions only the latter example of a parity transformation (or any reflection of an odd number of coordinates) can be used. (wikipedia.org)

**interactions**- Another possibility is the gravitino, which only interacts via gravitational interactions and does not require strict R-parity. (wikipedia.org)

**notable**- Parity has had some notable successes over the years, particularly in addressing statutory sex discrimination. (wikipedia.org)
- The parity function is notable for its role in theoretical investigation of circuit complexity of Boolean functions. (wikipedia.org)

**simultaneously**- Because proton decay involves violating both lepton and baryon number simultaneously, no single renormalizable R-parity violating coupling leads to proton decay. (wikipedia.org)

**given**- Solving a parity game played on a finite graph means deciding, for a given starting position, which of the two players has a winning strategy. (wikipedia.org)
- The first parity transformation given does not work in an even number of dimensions, though, because it results in a positive determinant. (wikipedia.org)
- In the NFL, complete parity would be a state where on any given Sunday, any given team can win any given game. (wikipedia.org)
- The illusion of parity in the NFL may be somewhat of a misconception, given that several teams such as the New England Patriots, Pittsburgh Steelers, and Green Bay Packers have appeared in the playoffs in almost all of the past ten years, while a team such as the Cleveland Browns has a playoff drought that is currently over a decade long. (wikipedia.org)
- the POPF instruction the IRET instruction an instruction or interrupt that causes a hardware task switch The parity flag is usually used in conditional jumps, where e.g. the JP instruction jumps to the given target when the parity flag is set and the JNP instruction jumps if it is not set. (wikipedia.org)
- Based on this characterization, it is possible to test whether a given graph is a parity graph in linear time. (wikipedia.org)

**quantum**- In quantum mechanics, a parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate. (wikipedia.org)

**mathematics**- In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd. (wikipedia.org)
- See the section "Higher mathematics" below for some extensions of the notion of parity to a larger class of "numbers" or in other more general settings. (wikipedia.org)

**different**- Note that there are different forms of parity with different effects and principles, one should not confuse this parity with another parity. (wikipedia.org)
- Different major governing organizations attempt to achieve parity in different ways. (wikipedia.org)
- The principles of risk parity are applied differently according to the investment style and goals of various financial managers and yield different results. (wikipedia.org)
- The principles of risk parity may be applied differently by different financial managers, as they have different methods for categorizing assets into classes, different definitions of risk, different ways of allocating risk within asset classes, different methods for forecasting future risk and different ways of implementing exposure to risk. (wikipedia.org)
- For, in a parity graph, any long odd cycle can be partitioned into two paths of different parities, neither of which is a single edge, and at least one chord is needed to prevent these from both being induced paths. (wikipedia.org)

**example**- For example, the parity bit can be computed as follows, assuming we are sending simple 4-bit values 1001. (wikipedia.org)
- Consider the following example with a transmission error in the second bit using XOR: There is a limitation to parity schemes. (wikipedia.org)
- For example, the SCSI and PCI buses use parity to detect transmission errors, and many microprocessor instruction caches include parity protection. (wikipedia.org)
- For example, assume a machine where a set parity flag indicates even parity. (wikipedia.org)
- For example, RAID 3 uses a parity drive to create a system that is both fault tolerant and, because of data striping, fast. (wikipedia.org)

**DEFINITION**- Infinite parity functions are often used in theoretical Computer Science and Set Theory because of their simple definition and - on the other hand - their descriptive complexity. (wikipedia.org)

**However**- They are not, however, and the prices of European put and call options are ultimately governed by put-call parity. (investopedia.com)
- However, parity has the advantage that it uses only a single bit and requires only a number of XOR gates to generate. (wikipedia.org)
- However, in June 2001 it became clear that Parity would win the case if it went to court and the government relented, with John Prescott announcing men would receive free bus passes from age 60. (wikipedia.org)
- However, many risk parity funds evolve away from their original intentions, including passive management. (wikipedia.org)

**decay**- The decay to 3γ would violate C parity conservation. (wikipedia.org)

**gauge**- A very attractive way to motivate R-parity is with a B − L continuous gauge symmetry which is spontaneously broken at a scale inaccessible to current experiments. (wikipedia.org)

**assets**- Covered Interest Parity describes an idealised situation in foreign exchange markets in which the interest rates on assets differing only in the currency of denomination will be equal. (repec.org)
- Interest rate parity exists when the expected nominal rates are the same for both domestic and foreign assets. (investopedia.com)
- The risk parity approach attempts to equalize risk by allocating funds to a wider range of categories such as stocks, government bonds, credit-related securities and inflation hedges (including real assets, commodities, real estate and inflation-protected bonds), while maximizing gains through financial leveraging. (wikipedia.org)

**error**- Every once in a while, not very often tho, I'll get a blue screen and it will say Hardware error Memory parity error. (techspot.com)
- Because of its simplicity, parity is used in many hardware applications where an operation can be repeated in case of difficulty, or where simply detecting the error is helpful. (wikipedia.org)

**product**- A business selling a parity product will in most cases be unable to command premium pricing because of the substitution effect. (investopedia.com)

**applies**- Put-call parity applies only to European options, which can only be exercised on the expiration date, and not American ones, which can be exercised before. (investopedia.com)

**interest**- Uncovered interest rate parity is when the difference in interest rates between two nations is equal to the expected change in exchange rates. (investopedia.com)
- Learn the basics of forward exchange rates and hedging strategies to understand interest rate parity. (investopedia.com)
- Interest in the risk parity approach has increased since the late 2000s financial crisis as the risk parity approach fared better than traditionally constructed portfolios, as well as many hedge funds. (wikipedia.org)

**equal**- Potty parity is equal or equitable provision of public toilet facilities for women and men within a public space. (wikipedia.org)
- Banzhaf argues that to ignore potty parity, that is, to have merely equal facilities for men and women, constitutes a form of sex discrimination against women. (wikipedia.org)

**single**- With the euro hitting record lows against the dollar, market expectations are for euro-dollar parity in Q1, before the single currency finds support. (investopedia.com)
- In the two examples above, B's calculated parity value matches the parity bit in its received value, indicating there are no single bit errors. (wikipedia.org)

**Women**- Several authors have identified potty parity as a potential rallying issue for feminism, since all women can identify with it. (wikipedia.org)
- Parity is a United Kingdom-based men's rights organisation, which describes itself as campaigning to promote and protect the equality of men and women under the law. (wikipedia.org)
- In 2008 Parity campaigned to stop the Crown Prosecution Service making false statements that the "overwhelming" majority of domestic violence victims were women, whereas in fact about one in three victims is male. (wikipedia.org)

**Similar**- Similar results were also established for the majority, multiplication and transitive closure functions, by reduction from the parity function. (wikipedia.org)

**form**- This form of parity was famously used to solve the mutilated chessboard problem: if two opposite corner squares are removed from a chessboard, then the remaining board cannot be covered by dominoes, because each domino covers one square of each parity and there are two more squares of one parity than of the other. (wikipedia.org)

**either**- Risk parity can be seen as either a passive or active management strategy. (wikipedia.org)
- In graph theory, a parity graph is a graph in which every two induced paths between the same two vertices have the same parity: either both paths have odd length, or both have even length. (wikipedia.org)
- A graph is a parity graph if and only if every component of its split decomposition is either a complete graph or a bipartite graph. (wikipedia.org)

**problem**- Parity learning is a problem in machine learning. (wikipedia.org)
- The noisy version of the parity learning problem is conjectured to be hard. (wikipedia.org)
- citation needed] Learning with errors Avrim Blum, Adam Kalai, and Hal Wasserman, "Noise-tolerant learning, the parity problem, and the statistical query model," J. ACM 50, no. 4 (2003): 506-519. (wikipedia.org)

**value**- The crucial issue is to determine whether the sneutrino (the supersymmetric partner of neutrino), which is odd under R-parity, develops a vacuum expectation value. (wikipedia.org)
- If that count is odd, the parity bit value is set to 1, making the total count of occurrences of 1s in the whole set (including the parity bit) an even number. (wikipedia.org)
- In such cases where the value of the bit is constant, it may be called a stick parity bit even though its function has nothing to do with parity. (wikipedia.org)

**Another Way**- Another way to imagine put-call parity is to compare the performance of a protective put and a fiduciary call of the same class. (investopedia.com)

**ways**- Parity may be defined in various ways in relation to facilities in a building. (wikipedia.org)

**hand**- A parity transformation on something achiral, on the other hand, can be viewed as an identity transformation. (wikipedia.org)
- On the other hand, some consider risk parity to be a passive approach, because it does not require the portfolio manager to buy or sell securities on the basis of judgments about future market behavior. (wikipedia.org)

**data**- R-parity sets all of the renormalizable baryon and lepton number violating couplings to zero and the proton is stable at the renormalizable level and the lifetime of the proton is increased to 1032 years and is nearly consistent with current observational data. (wikipedia.org)
- Parity plots are found in scientific papers and reports, when the author wishes to compare his data to accepted values in an easily understandable way. (wikipedia.org)
- The XOR of all of the data drives in the RAID array is written to the parity drive. (wikipedia.org)

**leads**- The Knaster-Tarski theorem leads to a relatively simple proof of determinacy of parity games. (wikipedia.org)

**otherwise**- If a bit is present at a point otherwise dedicated to a parity bit, but is not used for parity, it may be referred to as a mark parity bit if the parity bit is always 1, or a space parity bit if the bit is always 0. (wikipedia.org)
- The parity of an ordinal number may be defined to be even if the number is a limit ordinal, or a limit ordinal plus a finite even number, and odd otherwise. (wikipedia.org)

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