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Function for incompressible divergence-free flows in two dimensions
fluid dynamics, two types of stream function (or streamfunction) are defined: The two-dimensional (or Lagrange) stream function, introduced by Joseph Louis
Stream_function
Function in fluid dynamics
In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry
Stokes_stream_function
Equations of motion for viscous fluids
appropriate one gives many families of stream function elements. Taking the curl of the scalar stream function elements gives divergence-free velocity
Navier–Stokes_equations
Program function without side effects
variables, mutable reference arguments or input streams, i.e., referential transparency), and the function has no side effects (no mutation of non-local
Pure_function
Equations of fluid dynamics
flow is just the negative of the Laplacian of the stream function. The level curves of the stream function are streamlines. The derivation of the Navier–Stokes
Derivation of the Navier–Stokes equations
Derivation_of_the_Navier–Stokes_equations
Classical solution for inviscid, incompressible flow around a cylinder
on the sides, in the low pressure. The flow being incompressible, a stream function can be found such that V = ∇ ψ × k . {\displaystyle \mathbf {V} =\nabla
Potential flow around a circular cylinder
Potential_flow_around_a_circular_cylinder
Type of symmetric key cipher
A stream cipher is a symmetric key cipher where plaintext digits are combined with a pseudorandom cipher digit stream (keystream). In a stream cipher,
Stream_cipher
of flow is a bridge pier or a strut placed in a uniform stream. The resulting stream function ( ψ {\displaystyle \psi } ) and velocity potential ( ϕ {\displaystyle
Rankine_half_body
Stability condition for fluids
components of the flow. To find the solution to the linearized equation, a stream function was introduced by Lord Rayleigh for the perturbations of the flow velocity:
Rayleigh–Kuo_criterion
Type of fluid flow
equation for an incompressible Newtonian Stokes flow can be solved by the stream function method in planar or in 3-D axisymmetric cases The linearity of the
Stokes_flow
Milne-Thomson circle theorem or the circle theorem is a statement giving a new stream function for a fluid flow when a cylinder is placed into that flow. It was named
Milne-Thomson_circle_theorem
Theory of cryptography
cryptography, a sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and
Sponge_function
Field lines in a fluid flow
tangent to the flow velocity. A scalar function whose contour lines define the streamlines is known as the stream function. Streamlines are defined by d x →
Streamlines, streaklines, and pathlines
Streamlines,_streaklines,_and_pathlines
Body of surface water flowing down a channel
A stream is a continuous body of surface water flowing within the bed and banks of a channel. The channel is a watercourse, although the watercourse may
Stream
Torus-shaped vortex in a fluid
expressions correspond to the stream function describing a steady flow. In a fixed frame of reference, the stream function of the bulk flow having a speed
Vortex_ring
Sequence of data items available over time
rather than in large batches. Streams are processed differently from batch data. Normal functions cannot operate on streams as a whole because they have
Stream_(computing)
Inertial wave in rotating fluids
written in terms of the stream function ψ {\displaystyle \psi } (assuming non-divergent flow, for which the stream function completely describes the
Rossby_wave
Type of graph
the potential function and the stream function form the complex potential, where the potential is the real part, and the stream function is the imaginary
Flow_net
Scalar potential used in fluid dynamics
potential satisfies Laplace equation, the flow is incompressible. Unlike a stream function, a velocity potential can exist in three-dimensional flow. In theoretical
Velocity_potential
derived from a stream function ψ ( r , θ ) = − Q 2 π θ {\displaystyle \psi (r,\theta )=-{\frac {Q}{2\pi }}\theta } or from a potential function ϕ ( r , θ )
Elementary_flow
Topics referred to by the same term
Melchior Islands, Antarctica Chebyshev function Dedekind psi function Digamma function Polygamma functions Stream function, in two-dimensional flows Polar tangential
Psi
Stream ciphers
rotation operations. The core function maps a 256-bit key, a 64-bit nonce, and a 64-bit counter to a 512-bit block of the key stream (a Salsa version with a
Salsa20
Stream cipher
RC4 (also known as ARC4 or ARCFOUR, meaning Alleged RC4, see below) is a stream cipher. While it is remarkable for its simplicity and speed in software
RC4
Repeating something someone else said
occurs in the dorsal speech processing stream, and speech perception occurs in the ventral speech processing stream. Repetitions are often incorporated unawares
Speech_repetition
Theorem in fluid mechanics
Euler equations Reynolds decomposition Stokes flow Stokes stream function Stream function Streamlines, streaklines and pathlines Streeter, Victor Lyle
Torricelli's_law
Two-dimensional laminar boundary layer that forms on a semi-infinite plate
free stream velocity, and ψ {\displaystyle \psi } is the stream function. The stream function is directly proportional to the normalized function, f (
Blasius_boundary_layer
Multimedia delivery method
digital media player or media player software. Media is transferred in a stream of packets from a server to a client and is rendered in real-time or near
Streaming_media
v_{\theta },0)} . The velocity components are identified from Stokes stream function ψ ( r , θ ) {\displaystyle \psi (r,\theta )} as follows v r = 1 r 2
Hill's_spherical_vortex
Mathematical Model
field u {\displaystyle \mathbf {u} } may be described by a scalar stream function ψ {\displaystyle \psi } , via u = − e z × ∇ ψ {\displaystyle \mathbf
Lamb–Chaplygin_dipole
Tropical atmospheric circulation feature
most commonly identified using the mass-weighted, zonally averaged stream function of meridional winds, but they can also be identified by other measurable
Hadley_cell
Computer programming paradigm
interaction. Uniform streaming, in which a single kernel function is applied to all elements in the stream, is typical. Because the kernel and stream abstractions
Stream_processing
Concept in mathematics
complex potential, where u is the potential function and v is the stream function. For example, consider the function u ( x , y ) = e x sin y . {\displaystyle
Harmonic_conjugate
Block ciphers
invented by Ross Anderson and Eli Biham by combining a stream cipher and a cryptographic hash function. The algorithms use a very large variable block size
BEAR_and_LION_ciphers
a partial differential equation that describes the distribution of stream function for axisymmetric inviscid fluid, named after William Mitchinson Hicks
Hicks_equation
Hash function that is suitable for use in cryptography
arbitrarily long stream and can be used as a stream cipher, and stream ciphers can also be built from fixed-length digest hash functions. Often this is
Cryptographic_hash_function
Input/output functionality in the C programming language
possibility to insert callback functions into a stream to customize the handling of data read from or written to the stream. It was released to the outside
C_file_input/output
Cryptography primitive
cryptographic primitive which can be used both as a hash function and a stream cipher, but its hash function mode of operation has been broken and is not suitable
Panama_(cryptography)
Second-order partial differential equation
integrability condition for this differential: the resulting function is called the stream function because it is constant along flow lines. The first derivatives
Laplace's_equation
Vector field with zero divergence
potential A in Coulomb gauge Longitudinal and transverse vector fields Stream function Conservative vector field Aris, Rutherford (1989), Vectors, tensors
Solenoidal_vector_field
Penultimate letter in the Greek alphabet
function Water potential in movement of water between plant cells In biochemistry, it denotes pseudouridine, an uncommon nucleoside A stream function
Psi_(Greek)
Boundary layer that forms on a wedge
momentum boundary layer equations are solved using a stream function approach. The stream function, in terms of the scaling factors, is given by: ψ ( x
Falkner–Skan_boundary_layer
Velocity field as the gradient of a scalar function
help of the harmonic function φ {\displaystyle \varphi } and its conjugate harmonic function ψ {\displaystyle \psi } (stream function), incompressible potential
Potential_flow
Cryptographic hash function
BLAKE is a cryptographic hash function based on Daniel J. Bernstein's ChaCha stream cipher, but a permuted copy of the input block, XORed with round constants
BLAKE_(hash_function)
Model of the neural processing of vision and hearing
good at detecting and analyzing movements. The dorsal stream commences with purely visual functions in the occipital lobe before gradually transferring
Two-streams_hypothesis
Vector field which is used to mathematically describe the motion of a continuum
velocity Pitot tube Pressure gradient Strain rate Strain-rate tensor Stream function Velocity potential Vorticity Wind velocity Duderstadt, James J.; Martin
Flow_velocity
Chaotic model of atmospheric convection
conditions. The partial differential equations modeling the system's stream function and temperature are subjected to a spectral Galerkin approximation:
Lorenz_system
networks, one of its main functions is to convert between different transmission and coding techniques. Media streaming functions such as echo cancellation
Media_gateway
Connected input and output streams for computer programs
printing interface was created for writing to the output stream, using std::print functions. import std; using std::string; int main() { string s = "Hello
Standard_streams
Result in fluid mechanics
{\displaystyle \phi } is the velocity potential, ψ {\displaystyle \psi } is the stream function), d w / d z = u x − i u y {\displaystyle {\mathrm {d} w}/{\mathrm {d}
Blasius_theorem
Programming paradigm
approach taken by the Fudgets library and, more generally, Monadic Stream Functions. The novel approach is to allow actions to be run now (in the IO monad)
Functional reactive programming
Functional_reactive_programming
Type of fluid motion where all flow velocities are parallel to a fixed plane
{\displaystyle \therefore \;\;v_{r}(r)={\frac {Q}{2\pi r}}.} The stream function associated with source flow is – ψ ( r , θ ) = Q 2 π θ . {\displaystyle
Two-dimensional_flow
Mathematical model in fluid dynamics
} with ρ {\displaystyle \rho } , the fluid density. The stream function of the Taylor–Green vortex solution, i.e. which satisfies v = ∇ × ψ
Taylor–Green_vortex
Cryptographic hash function
randomized hashing, parallelizable tree hashing, a stream cipher, personalization, and a key derivation function. In October 2010, an attack that combines rotational
Skein_(hash_function)
Phenomenon of fluid mechanics
ϕ ~ {\displaystyle {\tilde {\phi }}} is complex amplitude of the stream function. Its onset is given by the Richardson number R i {\displaystyle \mathrm
Kelvin–Helmholtz_instability
Channel bottom of a stream, river, or creek
always a function of the flow dynamics and the local geologic materials. The climate of an area will determine the amount of precipitation a stream receives
Stream_bed
Function that derives secret keys from a secret value
In cryptography, a key derivation function (KDF) is an algorithm that derives one or more secret keys from a secret value, such as a master key, a password
Key_derivation_function
Phenomenon in physics
imposed on the boundary layer. The problem can be solved using the stream function ψ {\displaystyle \psi } that satisfies u = ∂ ψ / ∂ y {\displaystyle
Acoustic_streaming
Family of stream ciphers
SNOW is a family of word-based synchronous stream ciphers developed by Thomas Johansson and Patrik Ekdahl at Lund University. They have a 512-bit linear
SNOW
Equation for the velocity of a body in viscous fluid
coordinate system, the incompressible flow can be described with a Stokes stream function ψ, depending on r and z: u z = 1 r ∂ ψ ∂ r , u r = − 1 r ∂ ψ ∂ z ,
Stokes's_law
Mathematical function with multiple real-number arguments
In mathematics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being
Function of several real variables
Function_of_several_real_variables
Any large system of circulating ocean surface currents
much greater than the vertical length scale), potential vorticity is a function of relative (local) vorticity ζ {\displaystyle \zeta } (zeta), planetary
Ocean_gyre
Specific point in fluid flow dynamics
potential flow theory, the fluid motion described in terms of the stream function ψ {\displaystyle \psi } and the velocity components ( v x , 0 , v z
Stagnation_point_flow
Eigenvalue equation
is its density, and φ {\displaystyle \varphi } is the potential or stream function. In the case of zero viscosity ( μ = 0 {\displaystyle \mu =0} ), the
Orr–Sommerfeld_equation
Analytic function in mathematics
Riemann zeta function, or Euler–Riemann zeta function, denoted by the lowercase Greek letter ζ {\displaystyle \zeta } (zeta), is a function of a complex
Riemann_zeta_function
Stream cipher
HC-256 is a stream cipher designed to provide bulk encryption in software at high speeds while permitting strong confidence in its security. A 128-bit
HC-256
Peer-to-peer multimedia streaming protocol
bootlegged live video streams. The protocol functions as both a client and a server. When users stream a video feed using Ace Stream, they are simultaneously
Ace_Stream
Motor vehicle
The Honda Stream (Japanese: ホンダ・ストリーム) is a car manufactured by the Japanese automaker Honda from 2000 to 2014. The second generation model was officially
Honda_Stream
Stream cipher
candidate for a cryptographic one-way function". The VMPC function is used in an encryption algorithm – the VMPC stream cipher. The algorithm allows for efficient
Variably Modified Permutation Composition
Variably_Modified_Permutation_Composition
Stream cipher
Rabbit is a high-speed stream cipher from 2003. The algorithm and source code was released in 2008 as public domain software. Rabbit was first presented
Rabbit_(cipher)
Class of algorithms operating on data streams
[citation needed] In this model, the function of interest is computing over a fixed-size window in the stream. As the stream progresses, items from the end
Streaming_algorithm
Formula relating lift on an airfoil to fluid speed, density, and circulation
{\displaystyle \psi \,} is the stream function. Since the C border of the cylinder is a streamline itself, the stream function does not change on it, and
Kutta–Joukowski_theorem
Cryptography algorithm
cipher into a stream cipher. It generates the next keystream block by encrypting successive values of a "counter". The counter can be any function which produces
Block cipher mode of operation
Block_cipher_mode_of_operation
Fluid dynamics phenomenon
{\displaystyle \mathbf {u} } of the fluid may be written in terms of the stream function ψ {\displaystyle \psi } as u = ( ∂ ψ ∂ y , − ∂ ψ ∂ x ) . {\displaystyle
Stokes'_paradox
Analysis and solving of problems that involve fluid flows
fluid-in-cell method, vorticity stream function method, and marker-and-cell method. Fromm's vorticity-stream-function method for 2D, transient, incompressible
Computational_fluid_dynamics
Authenticated encryption with associated data algorithm
encryption with associated data (AEAD) algorithm, that combines the ChaCha20 stream cipher with the Poly1305 message authentication code. It has fast software
ChaCha20-Poly1305
Stream cipher
pre-output function can begin to output its pre-output stream it has to be clocked 256 times to warm up, during this stage the pre-output stream is fed into
Grain_128a
Video output mechanism for the X Window System
displayed video stream. In order for this to work, three things have to come together: The video controller has to provide the required functions. The device
X_video_extension
Nonlinear and periodic surface wave on an inviscid fluid layer of constant mean depth
used by Stokes – with the spatial coordinates as a function of velocity potential and stream function – does not converge for high-amplitude waves. While
Stokes_wave
pressure field and ψ {\displaystyle \psi } be the non-dimensional stream function such that u = ∂ ψ / ∂ y {\displaystyle u=\partial \psi /\partial y}
Triple_deck_theory
Model of computation
is, where X = Out* × Mem × In*. The transitions of a Stream X-Machine are labelled by functions of the form φ: Mem × In → Out × Mem, that is, which compute
Stream_X-Machine
Stream cipher
Grain is a stream cipher submitted to eSTREAM in 2004 by Martin Hell, Thomas Johansson and Willi Meier. It has been selected for the final eSTREAM portfolio
Grain_(cipher)
Cryptographic algorithm
symmetric-key encryption. Symmetric-key encryption can use either stream ciphers or block ciphers. Stream ciphers encrypt the digits (typically bytes), or letters
Symmetric-key_algorithm
Digital video format used for storage network transmission
MPEG transport stream (MPEG-TS, MTS) or simply transport stream (TS) is a standard digital container format for transmission and storage of audio, video
MPEG_transport_stream
Parameter in a function with a default value
the function can be called with or without parameters. Consider the following: import std; using std::ostream; void printGreeting(ostream& stream = std::cout)
Default_argument
Software design pattern
private: ostream& stream; public: explicit Printer(ostream& out): stream{out} {} template <typename T> Printer& print(T&& t) { stream << t; return *this;
Curiously recurring template pattern
Curiously_recurring_template_pattern
Unix System V framework
input/output on a stream, one either uses the read and write system calls as with regular file descriptors, or a set of STREAMS-specific functions to send control
STREAMS
Topics referred to by the same term
Stokes parameters Stokes radius Stokes relations Stokes shift Stokes stream function Stokes' theorem Stokes wave Campbell–Stokes recorder Navier–Stokes
Stokes
Algorithm for encrypting and decrypting information
Codes typically have direct meaning from input to key. Codes primarily function to save time. Ciphers are algorithmic. The given input must follow the
Cipher
Device or software for encoding or decoding a digital data stream
form, and the decoder function reverses the encoding for playback or editing. Codecs are used in videoconferencing, streaming media, and video editing
Codec
Fluid dynamics principle regarding bodies with sharp corners
airfoil, the Kutta condition can be implemented by calculating the stream function over the airfoil surface. The same Kutta condition implementation method
Kutta_condition
Design philosophy of 19th–20th centuries
winding stream at its base, the drifting clouds, over all the coursing sun, form ever follows function, and this is the law. Where function does not
Form_follows_function
expansion Stokes flow Stokes number Stokes' paradox Stokes radius Stokes stream function Stokes wave Stokes (unit) Stokes' law Stokeslet Stokes operators (quantum)
List of things named after George Gabriel Stokes
List_of_things_named_after_George_Gabriel_Stokes
secure pseudorandom permutation that can be used to construct a hash function or stream cipher by using it in a sponge construction. One stated design goal
Gimli_(cipher)
twice continuously differentiable function in a region of volume V in space. This function is the stream function ϕ {\displaystyle \phi } . Let P be
Aerodynamic potential-flow code
Aerodynamic_potential-flow_code
Type of functions designed for being unsolvable by root-finding algorithms
revealed (or guessed correctly), it should be impossible to reconstruct the stream of random numbers prior to the revelation. Additionally, if there is an
Cryptographically secure pseudorandom number generator
Cryptographically_secure_pseudorandom_number_generator
Characteristic property of holomorphic functions
work on function theory is that u represents a velocity potential of an incompressible steady fluid flow in the plane, and v is its stream function. Suppose
Cauchy–Riemann_equations
Free and open-source disk encryption utility
VeraCrypt includes optimizations to the original cryptographic hash functions and ciphers, which boost performance on modern central processing units
VeraCrypt
Practice and study of secure communication techniques
new SHA-3 hash algorithm. Unlike block and stream ciphers that are invertible, cryptographic hash functions produce a hashed output that cannot be used
Cryptography
Cryptographic attack
breaking stream ciphers whose keystreams are generated by combining the output of several linear-feedback shift registers (LFSRs) using a Boolean function. Correlation
Correlation_attack
Continuation that returns a value
element (k 'ignored)))) collection) stream-null)))) The part between reset and shift includes control functions like lambda and for-each; this is impossible
Delimited_continuation
travel, tourism, insurance
STREAM FUNCTION
STREAM FUNCTION
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STREAM FUNCTION
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