AI & ChatGPT searches , social queriess for ROTATIONAL PARTITION-FUNCTION
Search references for ROTATIONAL PARTITION-FUNCTION. Phrases containing ROTATIONAL PARTITION-FUNCTION
See searches and references containing ROTATIONAL PARTITION-FUNCTION!
Search references for ROTATIONAL PARTITION-FUNCTION. Phrases containing ROTATIONAL PARTITION-FUNCTION
See searches and references containing ROTATIONAL PARTITION-FUNCTION!ROTATIONAL PARTITION-FUNCTION
Function in Chemistry
rotational partition function relates the rotational degrees of freedom to the rotational part of the energy. The total canonical partition function Z
Rotational_partition_function
Topics referred to by the same term
Partition function may refer to: Partition function (statistical mechanics), a function used to derive thermodynamic properties Rotational partition function
Partition_function
Physical function in thermodynamics
approximation breaks down significantly. Rotational partition function Vibrational partition function Partition function (mathematics) Donald A. McQuarrie,
Translational partition function
Translational_partition_function
characteristic rotational temperature (θR or θrot) is commonly used in statistical thermodynamics to simplify the expression of the rotational partition function and
Rotational_temperature
In representation theory, a branch of mathematics, the Kostant partition function, introduced by Bertram Kostant (1958, 1959), of a root system Δ {\displaystyle
Kostant_partition_function
Statistical ensemble
The Gibbs rotational ensemble represents the possible states of a mechanical system in thermal and rotational equilibrium at temperature T {\displaystyle
Gibbs_rotational_ensemble
if one writes the partition function of ethane so that the integral includes full rotation of a methyl, then the 3-fold rotational symmetry of the methyl
Symmetry_number
Spin states of hydrogen
E_{J}={\frac {J(J+1)\hbar ^{2}}{2I}};\quad g_{J}=2J+1} . The rotational partition function is conventionally written as:[citation needed] Z rot = ∑ J =
Spin_isomers_of_hydrogen
Unstable configurations of atoms formed while a chemical reaction progresses
Error can arise from introducing symmetry numbers into the rotational partition functions for the reactants and activated complexes. To reduce errors
Activated_complex
finding the vibrational partition function. Statistical thermodynamics University Arizona Rotational temperature Rotational spectroscopy Vibrational
Vibrational_temperature
Isotope geochemistry modelling method
the product of partition function ratios, namely the translational, rotational, vibrational, and sometimes electronic partition functions. Thus the equation
Urey–Bigeleisen–Mayer equation
Urey–Bigeleisen–Mayer_equation
Microcanonic transition state theory of unimolecular reactions
{\displaystyle Q_{v}} are the molecular vibrational and external rotational partition functions. Transition state theory IUPAC, Compendium of Chemical Terminology
RRKM_theory
Matrix representing a Euclidean rotation
collection of all rotation matrices of a fixed dimension (here mostly 3) in mathematics and particularly in physics where rotational symmetry is a requirement
Rotation_matrix
cryptanalysis. The term "rotational cryptanalysis" was coined by Dmitry Khovratovich and Ivica Nikolić in 2010 paper "Rotational Cryptanalysis of ARX",
Rotational_cryptanalysis
Message-digest hashing algorithm
non-cryptographic purposes, for example for determining the partition for a particular key in a partitioned database, and may be preferred due to lower computational
MD5
Axiom of set theory
partition principle: There is a set that can be partitioned into strictly more equivalence classes than the original set has elements, and a function
Axiom_of_choice
Lattice formed by all integer partitions
particular partitions has not only the bilateral symmetry that one expects of Young's lattice, but also rotational symmetry: the rotation group of order n + 1
Young's_lattice
Mathematical statement of uniqueness, except for an equivalent structure
4 partitions up to rotation" means that the set P has 4 equivalence classes with respect to R defined by aRb if b can be obtained from a by rotation; one
Up_to
Natural number
5-cubes in a 9-cube, 211 – 25 2017 – Mertens function zero, sexy prime with 2011 2018 – Number of partitions of 60 into prime parts 2019 – smallest number
2000_(number)
Cuban-Spanish scientist
Prof. David Avnir working on molecular symmetry numbers and rotational partition functions. In 2000, he emigrated to Spain. Between 2002 and 2003, Estrada
Ernesto_Estrada_(scientist)
On partitions into intersecting convex hulls
different Tverberg partitions of the same set of points; these seven points may be partitioned in seven different ways that differ by rotations of each other
Tverberg's_theorem
Block cipher
tweakable block cipher designed as part of the Skein hash function, an entry in the NIST hash function competition. Threefish uses no S-boxes or other table
Threefish
Chemical kinetics model
vibrational and rotational) partition functions of the reactants, and Q ‡ {\displaystyle Q^{\ddagger }} is the partition function of the activated complex
Aquilanti–Mundim deformed Arrhenius model
Aquilanti–Mundim_deformed_Arrhenius_model
Computer storage device with no moving parts
HDD benchmarks tend to focus on the performance characteristics such as rotational latency and seek time. As SSDs do not need to spin or seek to locate data
Solid-state_drive
Cryptography construction
similar operations, and both consist of iteratively running a function called a "round function" a fixed number of times. Many modern symmetric block ciphers
Feistel_cipher
Model in statistical mechanics
{\displaystyle T} and the Boltzmann constant k {\displaystyle k} , the partition function Z N ( K ≡ β J , L ≡ β J ∗ ) = ∑ { σ } exp ( K ∑ ⟨ i j ⟩ H σ i σ
Square_lattice_Ising_model
Tables for the Data Encryption Standard
initial permutation; the table is interpreted similarly. The expansion function is interpreted as for the initial and final permutations. Note that some
DES_supplementary_material
Cryptographic attack
compiler optimizations. Countermeasures include blinding and constant-time functions. Many cryptographic algorithms can be implemented (or masked by a proxy)
Timing_attack
for computation of various types in quantum field theory such as partition function, integrals of loop diagrams, etc. The following Gaussian integrals
Common integrals in quantum field theory
Common_integrals_in_quantum_field_theory
modular exponentiation Euler's partition theorem relating the product and series representations of the Euler function Π(1 − xn) Goldbach–Euler theorem
List of topics named after Leonhard Euler
List_of_topics_named_after_Leonhard_Euler
Movement with a fixed point is rotation
the rotation one needs to modify the above expression for R by including two projection operators that partition the space. This modified rotation matrix
Euler's_rotation_theorem
Type of matrix
the rotation one needs to modify the above expression for R by including two projection operators that partition the space. This modified rotation matrix
Infinitesimal_rotation_matrix
Adding data to a message prior to encryption to hide its length
Most modern cryptographic hash functions process messages in fixed-length blocks; all but the earliest hash functions include some sort of padding scheme
Padding_(cryptography)
Standard for the encryption of electronic data
implementations in AES found in OpenSSL and Linux's dm-crypt partition encryption function. One attack was able to obtain an entire AES key after only
Advanced_Encryption_Standard
Basic component of symmetric key algorithms
of confusion. Mathematically, an S-box is a nonlinear vectorial Boolean function. In general, an S-box takes some number of input bits, m, and transforms
S-box
Method for the construction of fractals
function to be contractive, in practice software that implements IFS only require that the whole system be contractive on average. PIFS (partitioned iterated
Iterated_function_system
Kind of cellular automaton
A block cellular automaton or partitioning cellular automaton is a special kind of cellular automaton in which the lattice of cells is divided into non-overlapping
Block_cellular_automaton
Theorem in classical statistical mechanics
the same results can be obtained by an alternative method using the partition function. A diatomic gas can be modelled as two masses, m1 and m2, joined by
Equipartition_theorem
Block cipher
Related-key Slide Rotational Side-channel Timing Power-monitoring Electromagnetic Acoustic Differential-fault XSL Interpolation Partitioning Rubber-hose Black-bag
Twofish
Various molecular structures formed only by rotation about single bonds
the absolute temperature. The denominator of the right side is the partition function. The effects of electrostatic and steric interactions of the substituents
Rotamer
Authenticated encryption mode
constructed by feeding blocks of data into the GHASH function and encrypting the result. This GHASH function is defined by GHASH ( H , A , C ) = X m + n +
Galois/Counter_Mode
Group of symmetries of an n-dimensional hypercube
sublattice of noncrossing partitions of a 2n-element set that are symmetric under 180° rotation. The number of noncrossing partitions of an n-element set is
Hyperoctahedral_group
Formulation of classical mechanics
p_{k+1},\ldots ,p_{N};\psi ;t).} In that case, the function S can be partitioned into two functions, one that depends only on qk and another that depends
Hamilton–Jacobi_equation
Family of authenticated ciphers
Ascon is a family of lightweight authenticated ciphers and hash functions that have been selected by the U.S. National Institute of Standards and Technology
Ascon_(cipher)
Additional storage that enables faster access to main storage
divided into two partitions called privileged and unprivileged partitions. The privileged partition can be seen as a protected partition. If content is
Cache_(computing)
Family of block ciphers
designers state this was included to block slide and rotational cryptanalysis attacks. Still, rotational-XOR cryptanalysis has been used to find distinguishers
Speck_(cipher)
Number-theoretical function
In number theory, the sum of squares function is an arithmetic function that gives the number of representations for a given positive integer n {\displaystyle
Sum_of_squares_function
Block cipher
bent functions, key-dependent rotations, modular addition and subtraction, and XOR operations. There are three alternating types of round function, but
CAST-128
General form of cryptanalysis applicable primarily to block ciphers
primarily to block ciphers, but also to stream ciphers and cryptographic hash functions. In the broadest sense, it is the study of how differences in information
Differential_cryptanalysis
Form of cryptanalysis
approximations or incorporating non-linear expressions, leading to a generalized partitioning cryptanalysis. Evidence of security against linear cryptanalysis is usually
Linear_cryptanalysis
Implementations of Advanced Encryption Standard
provides developers with well known published block ciphers, one-way hash functions, chaining modes, pseudo-random number generators, public key cryptography
AES_implementations
Formulation of quantum mechanics
imaginary time variable (called a Wick rotation) makes the functional integral even more like a statistical partition function and also tames some of the mathematical
Path_integral_formulation
Block cipher
Related-key Slide Rotational Side-channel Timing Power-monitoring Electromagnetic Acoustic Differential-fault XSL Interpolation Partitioning Rubber-hose Black-bag
Triple_DES
Open source NoSQL database
case, data would be persisted to either SSD, NVMe, PMEM, or traditional rotational media. Aerospike provides single-record ACID transactions. The distribution
Aerospike_(database)
palindromic number 1002 = sphenic number, Mertens function zero, abundant number, number of partitions of 22 1003 = the product of some prime p and the
1000_(number)
Mathematical function used in cryptography
In cryptography, a T-function is a bijective mapping that updates every bit of the state in a way that can be described as x i ′ = x i + f ( x 0 , ⋯ ,
T-function
Covariance and correlation
processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This is also known as
Cross-correlation
Algorithm
standard. Another application is to build hash functions from block ciphers. See one-way compression function for descriptions of several such methods. Many
Symmetric-key_algorithm
Variant of the meet-in-the-middle method of cryptanalysis
MITM attacks, it is applicable to both block ciphers and (iterated) hash-functions. Biclique attacks are known for having weakened both full AES and full
Biclique_attack
Block cipher
extra multiplication operation not present in RC5 in order to make the rotation dependent on every bit in a word, and not just the least significant few
RC6
Authenticated encryption mode for block ciphers
block size, and for any size of cryptographically strong pseudo-random function (since in both counter mode and CBC-MAC, the block cipher is only ever
CCM_mode
Type of cipher
constituting transformation functions have the same structure is called an iterative cipher with the term "rounds" applied to the functions themselves. For transformation
Product_cipher
Type of cipher
therefore are immune to timing attacks. The rotational cryptanalysis technique attempts to attack such round functions. Other operations often used in block
Block_cipher
Technique in cryptography
In cryptography, partitioning cryptanalysis is a form of cryptanalysis for block ciphers. Developed by Carlo Harpes in 1995, the attack is a generalization
Partitioning_cryptanalysis
Transformations induced by a mathematical group
is no partition of X preserved by all elements of G apart from the trivial partitions (the partition in a single piece and its dual, the partition into
Group_action
Quantum chromodynamics on a lattice
of the IBM Blue Gene supercomputer. After Wick rotation, the path integral for the partition function of QCD takes the form Z = ∫ D U e − S [ U ] = ∫
Lattice_QCD
Block cipher
cryptographic hash function. This weakness led to a method for hacking Microsoft's Xbox game console, where the cipher was used as a hash function. TEA is also
Tiny_Encryption_Algorithm
Electro-mechanical data storage device
Rotational latency is incurred because the desired disk sector may not be directly under the head when data transfer is requested. Average rotational
Hard_disk_drive
Process of developing the AES standard
Competition – Competition to design authenticated encryption schemes NIST hash function competition Post-Quantum Cryptography Standardization "cryptology:: The
Advanced Encryption Standard process
Advanced_Encryption_Standard_process
Symmetric-key block cipher
for both subtraction and addition. IDEA uses a key-dependent half-round function. To work with 16-bit words (meaning 4 inputs instead of 2 for the 64-bit
International Data Encryption Algorithm
International_Data_Encryption_Algorithm
Study of computable functions and Turing degrees
computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study
Computability_theory
Attack applicable to block and stream ciphers
is an attack applicable to block and stream ciphers. It is a form of partitioning cryptanalysis that exploits unevenness in how the cipher operates over
Mod_n_cryptanalysis
Block cipher
however, is more complex, expanding the key using an essentially one-way function with the binary expansions of both e and the golden ratio as sources of
RC5
Cipher design construction
by Bart Preneel, Vincent Rijmen, and Antoon Bosselaers. "The Skein Hash Function Family" Archived 2009-01-15 at the Wayback Machine 2008 by Niels Ferguson
Substitution–permutation network
Substitution–permutation_network
Block cipher
Related-key Slide Rotational Side-channel Timing Power-monitoring Electromagnetic Acoustic Differential-fault XSL Interpolation Partitioning Rubber-hose Black-bag
RC2
Ensemble of states at a constant temperature
{\displaystyle \textstyle P={\frac {1}{Z}}e^{-E/(kT)},} using the canonical partition function Z = e − F / ( k T ) {\displaystyle \textstyle Z=e^{-F/(kT)}} rather
Canonical_ensemble
Assignment of a vector to each point in a subset of Euclidean space
flow) and curl (which represents the rotation of a flow). A vector field is a special case of a vector-valued function, whose domain's dimension has no relation
Vector_field
Cryptography algorithm
internal IV using the pseudorandom function S2V. S2V is a keyed hash based on CMAC, and the input to the function is: Additional authenticated data (zero
Block cipher mode of operation
Block_cipher_mode_of_operation
Block cipher
Feistel ciphers of a particular type, specifically those in which the f-function was itself a series of Feistel rounds, could be proven to be immune to
Skipjack_(cipher)
Specific probability distribution function, important in physics
— in other words it is a kind of partition function (for the single-particle system, not the usual partition function of the entire system). Because velocity
Maxwell–Boltzmann distribution
Maxwell–Boltzmann_distribution
Pharmaceutical compound
(2017). "Theoretical and experimental vibrational spectroscopy study on rotational isomer of 4-phenylbutylamine". Turkish Physical Society 32nd International
4-Phenylbutylamine
Block ciphers
Anderson and Eli Biham by combining a stream cipher and a cryptographic hash function. The algorithms use a very large variable block size, on the order of 213
BEAR_and_LION_ciphers
Figurate number
with the factorial function, a product whose factors are the integers from 1 to n, Donald Knuth proposed the name Termial function, with the notation
Triangular_number
Block cipher
though all are Feistel ciphers, and make use of the same basic round function and operate on a 64-bit block. One of the earliest designs is now termed
FEAL
Authenticated encryption mode with resistance against nonce reuse
integrity even if nonces are repeated. To accomplish this, encryption is a function of a nonce, the plaintext message, and optional additional associated data
AES-GCM-SIV
Nineteenth letter in the Greek alphabet
2025-01-31. A function τ(n) related to the divisor function σ(n), also sometimes called Ramanujan's tau function. "DLMF: §27.14 Unrestricted Partitions ‣ Additive
Tau
Input to a cryptographic primitive
Related-key Slide Rotational Side-channel Timing Power-monitoring Electromagnetic Acoustic Differential-fault XSL Interpolation Partitioning Rubber-hose Black-bag
Initialization_vector
Family of lightweight block ciphers
designers state this was included to block slide and rotational cryptanalysis attacks. Still, rotational-XOR cryptanalysis has been used to find distinguishers
Simon_(cipher)
Symmetry of molecules of chemical compounds
(running vertically in the image) then further 2-fold rotational axes at right angles to the main rotational axis are obvious. One of the molecular 2-fold axes
Molecular_symmetry
Cryptographic algorithm
plaintext fits within two blocks. For this description, the following functions and operators are used: Head (data, a): returns the first a bits of the
Ciphertext_stealing
Pictorial representation of the behavior of subatomic particles
The field's partition function is the normalization factor on the bottom, which coincides with the statistical mechanical partition function at zero temperature
Feynman_diagram
Group whose operation is composition of permutations
some nontrivial set partition of M that is preserved by the action of G, where "nontrivial" means that the partition isn't the partition into singleton sets
Permutation_group
Block cipher
The nonlinear layer is composed of eight 8×8-bit S-boxes based on the function F(x) = x−1 over GF(28). Five rounds of a modified version of SHARK can
SHARK
Block cipher
elements S[4][256] // S-boxes: 4 arrays of 256 elements function f(x): // Calculates a function f on a 32-bit input x, using S-boxes and bit manipulation
Blowfish_(cipher)
Signal processing method
Estimation of signal parameters via rotational invariant techniques (ESPRIT), is a technique to determine the parameters of a mixture of sinusoids in background
Estimation of signal parameters via rotational invariance techniques
Estimation_of_signal_parameters_via_rotational_invariance_techniques
Block cipher
code omitted redundant parentheses, using C precedence to write the round function as e.g. v1 += (v0<<4 ^ v0>>5) + v0 ^ sum + k[sum>>11 & 3]; The recommended
XTEA
Earliest civilian block ciphers
final permutations. The key and block sizes are both 128 bits. The Feistel function operates on a 64-bit half-block of data, together with a 64-bit subkey
Lucifer_(cipher)
Equivalence class in mathematics
necklaces of length n, where φ {\displaystyle \varphi } is Euler's totient function. When the beads are restricted to particular color multiset B = { 1 n 1
Necklace_(combinatorics)
Family of power series in mathematics
{\frac {3}{4}},{\frac {5}{4}};-{\frac {3125a^{4}}{256}}\right).} The partition function Z ( K ) {\displaystyle Z(K)} of the 2D isotropic Ising model with
Generalized hypergeometric function
Generalized_hypergeometric_function
26-dimensional string theory
Physical quantities are then constructed from the (Euclidean) partition function and N-point function: Z = ∑ h = 0 ∞ ∫ D g m n D X μ N exp ( − I [ g , X ]
Bosonic_string_theory
ROTATIONAL PARTITION-FUNCTION
ROTATIONAL PARTITION-FUNCTION
Boy/Male
Hindu
Rational
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Animated; Rational
Boy/Male
Indian
Talker, Speaker, Rational
Girl/Female
Hindu, Indian
Rational
Biblical
perdition, destruction
Biblical
Shimeath, that hears, or obeys; perdition
Boy/Male
Biblical
That hears, or obeys, perdition.
Girl/Female
Arabic, Gujarati, Hindu, Indian, Kannada, Muslim, Punjabi, Sikh
Wish; Petition to God; Special Prayer
Girl/Female
Christian, German, Greek, Hebrew
Noble; Kind; Rational; Great Happiness
Boy/Male
Tamil
Rational
Boy/Male
Indian, Sikh
A Partition in the World
Boy/Male
Muslim
Talker, Speaker, Rational
Girl/Female
Biblical Greek Latin
Perdition, destruction.
Boy/Male
Tamil
Rational
Girl/Female
German, Greek
Noble; Kind; Rational
Boy/Male
Biblical
That hears, or obeys, perdition.
Boy/Male
Hindu
Rational
Boy/Male
Arabic
Partition; Curtain
Girl/Female
Hindu, Indian
Rational
Boy/Male
Hindu, Indian, Traditional
Noble Partition
ROTATIONAL PARTITION-FUNCTION
ROTATIONAL PARTITION-FUNCTION
Boy/Male
Hindu, Indian
Couple
Girl/Female
Tamil
Nirmala | நிரà¯à®®à®²à®¾
Clean, Virtuous, Pure
Boy/Male
Indian
Powerful
Girl/Female
British, English
Rye
Girl/Female
Gaelic American Irish Scottish
warrior.
Male
Greek
(Οá½Ïανός) Greek name OURANOS means "the heavens." In mythology, this is the name of the husband of Gaia and father of the Titans.
Boy/Male
Bengali, Indian
Development; Brightness
Boy/Male
Tamil
Pradhyot | பà¯à®°à®¤à¯à®¯à¯‹à®¤
Ray of light, Luster
Boy/Male
Australian, Greek, Jamaican
Healer; The Lord is Salvation
Surname or Lastname
English (Midlands)
English (Midlands) : variant spelling of Lindon.
ROTATIONAL PARTITION-FUNCTION
ROTATIONAL PARTITION-FUNCTION
ROTATIONAL PARTITION-FUNCTION
ROTATIONAL PARTITION-FUNCTION
ROTATIONAL PARTITION-FUNCTION
a.
Divided by partition or partitions; having septa; as, a septate pod or shell.
p. pr. & vb. n.
of Partition
v.
The servance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.
v.
The act of parting or dividing; the state of being parted; separation; division; distribution; as, the partition of a kingdom.
a.
Agreeable to reason; not absurd, preposterous, extravagant, foolish, fanciful, or the like; wise; judicious; as, rational conduct; a rational man.
v.
A part divided off by walls; an apartment; a compartment.
imp. & p. p.
of Partition
a.
turning, as a wheel; rotary; rotational.
a.
Denoting a part; as, a partitive genitive.
v. t.
To divide into distinct parts by lines, walls, etc.; as, to partition a house.
v.
That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; separating boundary; dividing line or space; specifically, an interior wall dividing one part or apartment of a house, an inclosure, or the like, from another; as, a brick partition; lath and plaster partitions.
n.
A word expressing partition, or denoting a part.
n.
A rational being.
v. t.
To divide into parts or shares; to divide and distribute; as, to partition an estate among various heirs.
a.
Not rotatory; passing from one point to another by a movement other than rotation; -- said of the movement of parts of a liquid or yielding mass.
v. t.
To make a prayer or request to; to ask from; to solicit; to entreat; especially, to make a formal written supplication, or application to, as to any branch of the government; as, to petition the court; to petition the governor.
v.
A score.
v. i.
To make a petition or solicitation.
a.
Pertaining to, or resulting from, rotation; of the nature of, or characterized by, rotation; as, rotational velocity.
n.
The act of turning, as a wheel or a solid body on its axis, as distinguished from the progressive motion of a revolving round another body or a distant point; thus, the daily turning of the earth on its axis is a rotation; its annual motion round the sun is a revolution.