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Topics referred to by the same term
Psi function can refer, in mathematics, to the ordinal collapsing function ψ ( α ) {\displaystyle \psi (\alpha )} the Dedekind psi function ψ ( n ) {\displaystyle
Psi_function
Arithmetical function
Dedekind psi function is the multiplicative function on the positive integers defined by ψ ( n ) = n ∏ p | n ( 1 + 1 p ) , {\displaystyle \psi (n)=n\prod
Dedekind_psi_function
Mathematical function
digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z ) . {\displaystyle \psi (z)={\frac
Digamma_function
Set-theoretic function
countable, ψ {\displaystyle \psi } will "collapse" them to countable ordinals. To clarify how the function ψ {\displaystyle \psi } is able to produce notations
Ordinal_collapsing_function
Mathematical description of quantum state
system. The most common symbols for a wave function are the Greek letters ψ and Ψ (lower-case and capital psi, respectively). According to the superposition
Wave_function
Penultimate letter in the Greek alphabet
Psi /ˈ(p)saɪ, ˈ(p)siː/ (P)SY, (P)SEE (uppercase Ψ, lowercase ψ or 𝛙; Greek: ψι psi [ˈpsi]) is the twenty-third and penultimate letter of the Greek alphabet
Psi_(Greek)
Mathematical functions
Buchholz's psi-functions are a hierarchy of single-argument ordinal functions ψν(α) introduced by German mathematician Wilfried Buchholz in 1986. These
Buchholz_psi_functions
In mathematics, Rathjen's ψ {\displaystyle \psi } psi function is an ordinal collapsing function developed by Michael Rathjen. It collapses weakly Mahlo
Rathjen's_psi_function
Meromorphic function
the logarithm of the gamma function: ψ ( m ) ( z ) := d m d z m ψ ( z ) = d m + 1 d z m + 1 ln Γ ( z ) . {\displaystyle \psi ^{(m)}(z):={\frac {\mathrm
Polygamma_function
Mathematical function
(n)=\int _{2}^{x}{\frac {\psi (t)\,dt}{t\log ^{2}t}}+{\frac {\psi (x)}{\log x}}.} The transition from Π to the prime-counting function, π, is made through the
Chebyshev_function
Mathematical function relating circular and hyperbolic functions
In mathematics, the Gudermannian function relates a hyperbolic angle measure ψ {\textstyle \psi } to a circular angle measure ϕ {\textstyle \phi } called
Gudermannian_function
Method of solution to differential equations
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with
Green's_function
Mathematical function
ψ ( z ) {\displaystyle \psi _{1}(z)={\frac {d}{dz}}\psi (z)} where ψ(z) is the digamma function. It may also be defined as the sum of the series ψ 1
Trigamma_function
Topics referred to by the same term
Look up PSI, Psi, or psi in Wiktionary, the free dictionary. Psi, PSI or Ψ may refer to: Psi (Greek) (Ψ or ψ), the twenty-third letter of the Greek alphabet
Psi
Generalisation of the generalised hypergeometric function pFq(z)
mathematics, the Fox–Wright function (also known as Fox–Wright Psi function, not to be confused with Wright Omega function) is a generalisation of the
Fox–Wright_function
Large countable ordinal
ordinal, which acts as the limit of the range of Buchholz's psi function and Feferman's theta function. It was named by David Madore, after Gaisi Takeuti, Solomon
Takeuti–Feferman–Buchholz ordinal
Takeuti–Feferman–Buchholz_ordinal
Description of a quantum-mechanical system
represent physical states. Thus, a position-space wave function Ψ ( x , t ) {\displaystyle \Psi (x,t)} as used above can be written as the inner product
Schrödinger_equation
Analytic function in mathematics
{1}{2}}\left(\psi ^{0}(t)+\psi ^{0}(-t)\right)-\gamma } with |t| < 2 and where ψ {\displaystyle \psi } and γ {\displaystyle \gamma } are the polygamma function and
Riemann_zeta_function
Function whose domain is the positive integers
The Dedekind psi function, used in the theory of modular functions, is defined by the formula ψ(n)=n∏p|n(1+1p). λ(n), the Liouville function, is defined
Arithmetic_function
Function for incompressible divergence-free flows in two dimensions
Batchelor define the stream function ψ {\displaystyle \psi } as follows. ψ ( x , y , t ) = ∫ A P ( u d y − v d x ) {\displaystyle \psi (x,y,t)=\int _{A}^{P}\left(u\
Stream_function
Thought experiment in quantum mechanics
the meantime. Even a single atomic decay would have poisoned it. The psi-function of the entire system would express this by having in it the living and
Schrödinger's_cat
Type of statistics
know its ψ {\displaystyle \psi } function. I F ( x ; T , F ) = M − 1 ψ ( x , T ( F ) ) {\displaystyle IF(x;T,F)=M^{-1}\psi (x,T(F))} with the p × p {\displaystyle
Robust_statistics
Fundamental theorem in condensed matter physics
in 1929. Mathematically, they are written Bloch function ψ ( r ) = e i k ⋅ r u ( r ) {\displaystyle \psi (\mathbf {r} )=e^{i\mathbf {k} \cdot \mathbf {r}
Bloch's_theorem
Number of integers coprime to and less than n
product of the first 120569 primes. Carmichael function (λ) Dedekind psi function (𝜓) Divisor function (σ) Duffin–Schaeffer conjecture Generalizations
Euler's_totient_function
Type of mathematical function
In mathematical logic and set theory, an ordinal notation is a partial function mapping the set of all finite sequences of symbols, themselves members
Ordinal_notation
Topics referred to by the same term
function can refer to any of three functions, all introduced by Richard Dedekind Dedekind eta function Dedekind psi function Dedekind zeta function This
Dedekind_function
Probability distribution
[\ln(1-X)])^{2}\\&=\psi _{1}(\beta )-\psi _{1}(\alpha +\beta )\\&=\psi _{1}(\beta )+\operatorname {cov} [\ln X,\ln(1-X)]\end{aligned}}} where the trigamma function, denoted
Beta_distribution
Smooth and compactly supported function
terms "bump function" and "test function" are not synonymous in all contexts. The function Ψ : R → R {\displaystyle \Psi :\mathbb {R} \to \mathbb {R} }
Bump_function
Calculation rule in quantum mechanics
an observable, measured in a system with normalized wave function | ψ ⟩ {\displaystyle |\psi \rangle } (see Bra–ket notation), corresponds to a self-adjoint
Born_rule
Russian cryptographic hash function
{\displaystyle \psi ^{i}} denotes an i-th power of the ψ {\displaystyle \psi } function. There are two commonly used sets of initial parameters for GOST R 34
GOST_(hash_function)
Correlators of field operators
ψ ( x , τ ) {\displaystyle \psi (\mathbf {x} ,\tau )} .] In real time, the 2 n {\displaystyle 2n} -point Green function is defined by G ( n ) ( 1 … n
Green's function (many-body theory)
Green's_function_(many-body_theory)
North American collegiate fraternity
Psi Upsilon (ΨΥ), commonly known as Psi U, is a North American fraternity, founded at Union College on November 24, 1833. The fraternity has chartered
Psi_Upsilon
Function in fluid dynamics
components uρ and uz can be expressed in terms of the Stokes stream function Ψ {\displaystyle \Psi } by: u ρ = − 1 ρ ∂ Ψ ∂ z , u z = + 1 ρ ∂ Ψ ∂ ρ . {\displaystyle
Stokes_stream_function
Product of numbers from 1 to n
1007/s12188-008-0009-5. MR 2541340. S2CID 123691692. Ross, Bertram (1978). "The psi function". Mathematics Magazine. 51 (3): 176–179. doi:10.1080/0025570X.1978.11976704
Factorial
Mathematical function
z_{n})\left(\psi (z_{m})-\psi {\left(\sum _{k=1}^{n}z_{k}\right)}\right),\quad 1\leq m\leq n,} where ψ ( z ) {\displaystyle \psi (z)} denotes the digamma function
Beta_function
Mathematical functions which are smooth but not analytic
natural number n (including zero) the smooth function ψ n ( x ) = x n h ( x ) , x ∈ R , {\displaystyle \psi _{n}(x)=x^{n}\,h(x),\qquad x\in \mathbb {R}
Non-analytic_smooth_function
Extension of the factorial function
x)}{2\pi }}\left\{\psi \left({\dfrac {x}{2}}\right)-\psi \left({\dfrac {x+1}{2}}\right)\right\}\right],} where ψ(x) denotes the digamma function, and L {\displaystyle
Hadamard's_gamma_function
Theorem bounding the growth rate of analytic functions
functions besides the exponential function. In general, a function Ψ ( t ) {\displaystyle \Psi (t)} is a comparison function if it has a series Ψ ( t ) = ∑
Nachbin's_theorem
- wave function of the state of the system Ψ {\displaystyle \Psi } - total wave function of a system ψ {\displaystyle \psi } - wave function of a system
Glossary of elementary quantum mechanics
Glossary_of_elementary_quantum_mechanics
Inverse of the gamma function
{1}{z^{4}}}\right)\,,} where ψ ( n ) ( x ) {\displaystyle \psi ^{(n)}(x)} is the polygamma function. This can be rigorously justified by the Lagrange inversion
Inverse_gamma_function
Algorithm in computational quantum physics
quantum system. The basic building block is a generic wave function | Ψ ( a ) ⟩ {\displaystyle |\Psi (a)\rangle } depending on some parameters a {\displaystyle
Variational_Monte_Carlo
Function on an integer n which is log(p) if n equals p^k and zero otherwise
> σ0. The second Chebyshev function ψ ( x ) {\displaystyle \psi (x)} is the summatory function of the von Mangoldt function: ψ ( x ) = ∑ p k ≤ x log
Von_Mangoldt_function
Model of an energy potential in quantum mechanics
here by an Ansatz for the wave function of the type Ψ ( x , y , z ) = ψ ( x ) ϕ ( y , z ) {\displaystyle \Psi (x,y,z)=\psi (x)\phi (y,z)\,\!} . Alternatively
Delta_potential
Function that interpolates the factorial
In mathematics, a pseudogamma function is a function that interpolates the factorial. The gamma function is the most famous solution to the problem of
Pseudogamma_function
Pictorial representation of the behavior of subatomic particles
{\psi }}M\psi +{\bar {\eta }}\psi +{\bar {\psi }}\eta }\,D{\bar {\psi }}\,D\psi =\int e^{\left({\bar {\psi }}+{\bar {\eta }}M^{-1}\right)M\left(\psi +M^{-1}\eta
Feynman_diagram
Ordinals in mathematics and set theory
value is equal to Ψ ( ε K + 1 ) {\displaystyle \Psi (\varepsilon _{K+1})} using Rathjen's Psi function. Next is another unnamed ordinal, referred by David
Large_countable_ordinal
Mathematical entity to describe the probability of each possible measurement on a system
(x)|^{2}dx,} where | ψ ( x ) | 2 {\displaystyle |\psi (x)|^{2}} is the probability density function for finding a particle at a given position. These
Quantum_state
{\displaystyle -\psi ''+V\psi =k^{2}\psi } . It was introduced by Res Jost. We are looking for solutions ψ ( k , r ) {\displaystyle \psi (k,r)} to the radial
Jost_function
Historically African-American fraternity
Omega Psi Phi Fraternity, Inc. (ΩΨΦ) is a historically African American fraternity. It was founded on November 17, 1911 at Howard University in Washington
Omega_Psi_Phi
Polynomial sequence
e^{-ikx}\psi _{n}(x)dx=(-i)^{n}\psi _{n}(k),\quad {\frac {1}{\sqrt {2\pi }}}\int e^{+ikx}\psi _{n}(k)dk=i^{n}\psi _{n}(x)} The Wigner distribution function of
Hermite_polynomials
Extension of the factorial function
1 ) ( x ) > 0 {\displaystyle \psi ^{(1)}(x)>0} , where ψ ( 1 ) {\displaystyle \psi ^{(1)}} is the polygamma function of order 1. To prove the logarithmic
Gamma_function
Mathematical function
u ) {\displaystyle \rho (u)} . This function is used to estimate a function Ψ ( x , y , z ) {\displaystyle \Psi (x,y,z)} similar to de Bruijn's, but
Dickman_function
( g ) ¯ , {\displaystyle \langle \phi ,\psi \rangle ={\frac {1}{|G|}}\sum _{g\in G}\phi (g){\overline {\psi (g)}},} where |G| denotes the order of G
Class_function
)\int _{0}^{1}{\frac {\Psi (\mu ')}{\mu +\mu '}}H(\mu ')\,d\mu '} where the characteristic function Ψ ( μ ) {\displaystyle \Psi (\mu )} is an even polynomial
Chandrasekhar's_H-function
Family of solutions to related differential equations
}(\psi (k+1)+\psi (n+k+1)){\frac {\left(-{\frac {z^{2}}{4}}\right)^{k}}{k!(n+k)!}}} where ψ ( z ) {\displaystyle \psi (z)} is the digamma function, the
Bessel_function
Short "burst" or "envelope" of restricted wave action that travels as a unit
A gaussian 2D quantum wave function: ψ ( x , y , t ) = ψ ( x , t ) ψ ( y , t ) {\displaystyle \psi (x,y,t)=\psi (x,t)\psi (y,t)} ψ ( x , t ) = ( 2 a 2
Wave_packet
Quantum mechanics concept
3 = H e − α x {\displaystyle \psi _{3}=He^{-\alpha x}} Next, we know that the overall ψ {\displaystyle \psi } function must be continuous and differentiable
Finite_potential_well
Formulation of the quantum many-body problem
_{1}\psi _{2}+\psi _{1}\psi _{2}\psi _{1})+{\frac {1}{\sqrt {3}}}(\psi _{1}\psi _{2}\psi _{1}+\psi _{2}\psi _{1}\psi _{1}+\psi _{2}\psi _{1}\psi _{1})\right)\\=&{\frac
Second_quantization
Arithmetical function
{\frac {n^{k}}{\zeta (k+1)}}} . The Dedekind psi function is ψ ( n ) = J 2 ( n ) J 1 ( n ) {\displaystyle \psi (n)={\frac {J_{2}(n)}{J_{1}(n)}}} , and by
Jordan's_totient_function
Notation for quantum states
|{\boldsymbol {A}}{\bigr )}|\psi \rangle =\langle \phi |{\bigl (}{\boldsymbol {A}}|\psi \rangle {\bigr )}\,,} (in other words, a function composition). This expression
Bra–ket_notation
Divergent sum of positive unit fractions
2016.02.020. hdl:2318/1622121. MR 3486261. Ross, Bertram (1978). "The psi function". Mathematics Magazine. 51 (3): 176–179. doi:10.1080/0025570X.1978.11976704
Harmonic_series_(mathematics)
Probability density function
Radiative Decays of the J/Psi and Psi-Prime, Ph.D. Thesis, SLAC-R-255 (1982). (This is a 205-page document in .pdf form – the function is defined on p. 178
Crystal_Ball_function
First known wavelet basis
wavelet function ψ ( t ) {\displaystyle \psi (t)} can be described as ψ ( t ) = { 1 0 ≤ t < 1 2 , − 1 1 2 ≤ t < 1 , 0 otherwise. {\displaystyle \psi
Haar_wavelet
Greek figurines made of terracotta
vases, as similar decorative techniques were employed for both. The function of psi, phi, and tau figurines is unknown, although it has been suggested
Psi, phi and tau type figurine
Psi,_phi_and_tau_type_figurine
International historically Black fraternity
Kappa Alpha Psi Fraternity, Inc. (ΚΑΨ) is a historically African American fraternity. Since the fraternity's founding on January 5, 1911, at Indiana University
Kappa_Alpha_Psi
Computational statistics technique
cumulant-generating function as ψ θ ( η ) = ψ ( θ + η ) − ψ ( θ ) = ( μ + θ σ 2 ) η + σ 2 η 2 2 {\textstyle \psi _{\theta }(\eta )=\psi (\theta +\eta )-\psi (\theta
Rejection_sampling
Second-order partial differential equation
{\displaystyle \psi _{x}=-v,\quad \psi _{y}=u,} and the irrotationality condition implies that ψ satisfies the Laplace equation. The harmonic function φ that is
Laplace's_equation
Probability distribution
\ln(X_{j})]=\psi '(\alpha _{i})\delta _{ij}-\psi '(\alpha _{0})} where ψ {\displaystyle \psi } is the digamma function, ψ ′ {\displaystyle \psi '} is the
Dirichlet_distribution
Quantum mechanics principle
y , y ⟩ . {\displaystyle \langle \psi |x,x\rangle +\langle \psi |x,y\rangle +\langle \psi |y,x\rangle +\langle \psi |y,y\rangle .} The first and last
Pauli_exclusion_principle
Effective particle coupling beyond tree level
irreducible correlation function involving the fermion ψ {\displaystyle \psi } , the antifermion ψ ¯ {\displaystyle {\bar {\psi }}} , and the vector potential
Vertex_function
Equation for fixed point of functional composition
given the function h, find the function Ψ such that ∀ x Ψ ( h ( x ) ) = s Ψ ( x ) . {\displaystyle \forall x\;\;\;\Psi {\big (}h(x){\big )}=s\Psi (x).} Schröder's
Schröder's_equation
In physics, solution to Schrödinger equation
) ∗ . {\displaystyle \psi _{\vec {k}}^{(+)}=\psi _{-{\vec {k}}}^{(-)*}\,.} The wave function ψ k → ( r → ) {\displaystyle \psi _{\vec {k}}({\vec {r}})}
Coulomb_wave_function
International collegiate fraternity
Zeta Psi (ΖΨ) is an international collegiate fraternity. It was founded in 1847 at New York University. The fraternity has over 100 chapters, with roughly
Zeta_Psi
Class of statistical estimators
M-estimator of ψ-type T is defined through a measurable function ψ : X × Θ → R r {\displaystyle \psi :{\mathcal {X}}\times \Theta \rightarrow \mathbb {R}
M-estimator
Mathematical tool in quantum physics
_{-\infty }^{\infty }\psi ^{*}(x+y)\psi (x-y)e^{2ipy/\hbar }\,dy.} The equation for the time evolution of the Wigner function, known as Moyal equation
Density_matrix
Complex number whose squared absolute value is a probability
wave function ψ {\displaystyle \psi } belonging to the L2 space of (equivalence classes of) square integrable functions, i.e., ψ {\displaystyle \psi } belongs
Probability_amplitude
Operator in quantum mechanics
{\displaystyle \left({\hat {\mathrm {x} }}\psi \right)(x)=x\psi (x),} for every wave function ψ {\displaystyle \psi } and for every point x {\displaystyle
Position_operator
2004 video game
Psi-Ops: The Mindgate Conspiracy is a 2004 action-adventure video game developed by Midway for the Xbox, PlayStation 2, and Microsoft Windows. The game
Psi-Ops: The Mindgate Conspiracy
Psi-Ops:_The_Mindgate_Conspiracy
Mathematical function used to approximate atomic orbitals in quantum chemistry
{\displaystyle E_{1s}={\frac {\langle \psi _{1s}|\mathbf {\hat {H}} _{e}|\psi _{1s}\rangle }{\langle \psi _{1s}|\psi _{1s}\rangle }},} where ⟨ ψ 1 s | ψ
1s_Slater-type_function
College student honor society in psychology
Psi Chi (ΨΧ) is a college student honor society in psychology with international outreach founded in 1929 at the University of Kansas in the United States
Psi_Chi
Strong form of uniform continuity
continuous function is limited in how fast it can change: there exists a real number such that, for every pair of points on the graph of this function, the
Lipschitz_continuity
Study of optimal transportation and allocation of resources
a function ψ {\displaystyle \psi } is ψ c c {\displaystyle \psi ^{cc}} . Equivalently, it is the smallest c-convex function ψ ′ {\displaystyle \psi '}
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Probability distribution
0 + i γ {\displaystyle \psi =x_{0}+i\gamma } f ( x ; ψ ) = 1 π Im ( 1 x − ψ ) = 1 π Re ( − i x − ψ ) {\displaystyle f(x;\psi )={\frac {1}{\pi }}\,{\textrm
Cauchy_distribution
Vector calculus formulas relating the bulk with the boundary of a region
\right)=\nabla \psi \cdot \mathbf {X} +\psi \nabla \cdot \mathbf {X} } , where ψ {\displaystyle \psi } and φ {\displaystyle \varphi } are scalar functions and X
Green's_identities
Two-parameter family of continuous probability distributions
)-(\alpha +1)\psi (\alpha )+\alpha \\&=\alpha +\ln(\beta \Gamma (\alpha ))-(\alpha +1)\psi (\alpha ).\end{aligned}}} where ψ ( α ) {\displaystyle \psi (\alpha
Inverse-gamma_distribution
Branch of functional analysis
( x ) {\displaystyle [T\psi ](x)=f(x)\psi (x)} acting on L2 of some measure space. The domain of T consists of those functions whose above expression is
Borel_functional_calculus
Loss of quantum coherence
in non-relativistic quantum mechanics by a wave function ψ ( x 1 , x 2 , … , x N ) {\displaystyle \psi (x_{1},x_{2},\dots ,x_{N})} , where each xi is a
Quantum_decoherence
Operator in quantum mechanics
wave function undergoes a local U(1) group transformation, and p ^ ψ = − i ℏ ∂ ψ ∂ x {\textstyle {\hat {p}}\psi =-i\hbar {\frac {\partial \psi }{\partial
Momentum_operator
Generating function in integrable systems
}\psi _{j}\psi _{j+i}^{\dagger },\quad i=1,2\dots } are the ""current"" components. As seen in equation (9), every KP τ {\displaystyle \tau } -function
Tau function (integrable systems)
Tau_function_(integrable_systems)
Generalized function whose value is zero everywhere except at zero
_{y'}\rangle =\delta (y-y'),} then for any test function ψ, ψ ( x ) = ∫ Ω c ( y ) φ y ( x ) d y {\displaystyle \psi (x)=\int _{\Omega }c(y)\varphi _{y}(x)\,dy}
Dirac_delta_function
K(z)=A\exp \left(\psi (-2,z)+{\frac {z^{2}-z}{2}}\right)} where K(z) is the K-function and A is the Glaisher constant. The balanced polygamma function can be expressed
Balanced_polygamma_function
Lowest energy level of a quantum system
\varepsilon ]} . Take a new (deformed) wave function ψ'(x) to be defined as ψ ′ ( x ) = ψ ( x ) {\displaystyle \psi '(x)=\psi (x)} , for x < − ε {\displaystyle
Ground_state
Generating function for quantum correlation functions
]=\int {\mathcal {D}}{\bar {\psi }}{\mathcal {D}}\psi \ e^{iS[\psi ,{\bar {\psi }}]+i\int d^{d}x({\bar {\eta }}\psi +{\bar {\psi }}\eta )}.} Functional derivatives
Partition function (quantum field theory)
Partition_function_(quantum_field_theory)
Science fiction theme of 1950s and 1960s
extrasensory perception, telepathy and psychokinesis. The term is a blend word of psi (in the sense of "psychic phenomena") and the -onics from electronics. The
Psionics
Wigner distribution function in physics as opposed to in signal processing
Meanwhile, the Husimi Q function is the convolution of the Wigner function with a Gaussian. If the Wigner function of ψ {\displaystyle \psi } is non-negative
Wigner quasiprobability distribution
Wigner_quasiprobability_distribution
Device for preparing food
operate at low pressures, 10 kilopascals (1.5 psi), compared to other pressure cookers. Their main function is as an enhanced oven or broiler for meat and
Pressure_cooker
area of wavelet analysis, a refinable function is a function which fulfils some kind of self-similarity. A function φ {\displaystyle \varphi } is called
Refinable_function
Structural units of protein involved in photosynthesis
The main function of PSII is to efficiently split water into oxygen molecules and protons. PSII will provide a steady stream of electrons to PSI, which
Photosystem
Function that can be used to build the wave function of a multi-fermionic system
antisymmetric wave function can be mathematically described as follows: Ψ ( x 1 , x 2 ) = − Ψ ( x 2 , x 1 ) . {\displaystyle \Psi (\mathbf {x} _{1},\mathbf
Slater_determinant
Matrix consisting of linearly independent solutions to a linear differential equation
{\mathbf {x} }}(t)=A(t)\mathbf {x} (t)} is a matrix-valued function Ψ ( t ) {\displaystyle \Psi (t)} whose columns are linearly independent solutions of
Fundamental matrix (linear differential equation)
Fundamental_matrix_(linear_differential_equation)
travel, tourism, insurance
PSI FUNCTION
PSI FUNCTION
PSI FUNCTION
PSI FUNCTION
PSI FUNCTION
PSI FUNCTION
PSI FUNCTION
PSI FUNCTION
PSI FUNCTION
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