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Fractal distribution of random points
In mathematics, a multiplicative cascade is a fractal/multifractal distribution of points produced via an iterative and multiplicative random process. The
Multiplicative_cascade
System with multiple fractal dimensions
departure from Gaussian models.[citation needed] Modelling as a multiplicative cascade also leads to estimation of multifractal properties. This methods
Multifractal_system
random walk Brownian motion Lichtenberg figure Percolation theory Multiplicative cascade This table shows a summary of regular polytope counts by dimension
List_of_mathematical_shapes
surface close to 3. Calculated ∈ ( 0 , 2 ) {\displaystyle \in (0,2)} Multiplicative cascade This is an example of a multifractal distribution. However, by choosing
List of fractals by Hausdorff dimension
List_of_fractals_by_Hausdorff_dimension
Probability distribution
Cobb–Douglas. A log-normal process is the statistical realization of the multiplicative product of many independent random variables, each of which is positive
Log-normal_distribution
Digital signal sample rate converter
In digital signal processing, a cascaded integrator–comb (CIC) is a computationally efficient class of low-pass finite impulse response (FIR) filter that
Cascaded integrator–comb filter
Cascaded_integrator–comb_filter
Electrical circuit power converter
smoothing the ripple without increasing the multiplication. A voltage multiplier may be formed of a cascade of voltage doublers of the cross-coupled switched
Voltage_multiplier
Electric circuit with two pairs of terminals
by matrix multiplication of the n matrices. To combine a cascade of b-parameter matrices, they are again multiplied, but the multiplication must be carried
Two-port_network
Process in electrical breakdown
degree of multiplication that this process can provide is huge, up to several million-fold depending on the situation. The multiplication factor M is
Electron_avalanche
Device that performs isotope separation of gases
batch processing, the gas centrifuge uses continuous processing, allowing cascading in which multiple identical processes occur in succession. The gas centrifuge
Gas_centrifuge
Computational operation
Inverse: [(−a mod n) + (a mod n)] mod n = 0. b−1 mod n denotes the modular multiplicative inverse, which is defined if and only if b and n are relatively prime
Modulo
Electric circuit that generates high DC voltage from low-voltage AC or pulsing DC input
accelerator-induced nuclear disintegration in history. They used this voltage multiplier cascade for most of their research, which in 1951 won them the Nobel Prize in Physics
Cockcroft–Walton_generator
Amount of farm product produced per unit area for a given time
that temperatures exceeding 25°C trigger significant yield losses, with cascading effects on harvests and food prices that can persist for up to a year
Crop_yield
Concept in quantum electronics
; Levitov, L.F.; Koppens, F.H.L. (24 February 2013). "Photoexcitation cascade and multiple hot-carrier generation in graphene". Nature Physics. 9 (4):
Multiple_exciton_generation
Control loop feedback mechanism
yield better dynamic performance. This is called cascaded PID control. Two controllers are in cascade when they are arranged so that one regulates the
PID_controller
Transforming data by taking the logarithm
{\displaystyle k^{b}} multiplicative increase in Y on an average. Thus if X doubles, it would result in Y changing by a multiplicative factor of 2 b {\displaystyle
Log transformation (statistics)
Log_transformation_(statistics)
Technique in digital signal processing
filter operates on an input sequence x [ n ] {\displaystyle x[n]} in a cascade of two stages with a parameter ω 0 {\displaystyle \omega _{0}} , giving
Goertzel_algorithm
Approach to the study of finite semigroups and automata
non-negative integer complexity. For example, for any n greater than 1, the multiplicative semigroup of all (n+1) × (n+1) upper-triangular matrices over any fixed
Krohn–Rhodes_theory
Cascade of atmospheric subatomic particles
Air showers are extensive cascades of subatomic particles and ionized nuclei, produced in the atmosphere when a primary cosmic ray enters the atmosphere
Air_shower_(physics)
Flow of electric current through a non-metal medium
spontaneously generated ions. B-D: the Townsend region, where the cascade multiplication of carriers takes place. D-I glow discharge D-E: transition to a
Electric_discharge
Authenticated encryption mode for block ciphers
central feature is the ease of parallel computation of the Galois field multiplication used for authentication. This feature has higher throughput than encryption
Galois/Counter_Mode
Standard for the encryption of electronic data
the non-linearity in the cipher. The S-box used is derived from the multiplicative inverse over GF(28), known to have good non-linearity properties. To
Advanced_Encryption_Standard
Highly sensitive semiconductor electronic device
currents. Another noise source is the excess noise factor, ENF. It is a multiplicative correction applied to the noise that describes the increase in the statistical
Avalanche_photodiode
Search algorithm finding the position of a target value within a sorted array
function – the same idea used to solve equations in the real numbers Multiplicative binary search – Binary search variation with simplified midpoint calculation
Binary_search
Technique for the generative modeling of a continuous probability distribution
resampling. Diffusion models themselves can be used to perform upscaling. Cascading diffusion model stacks multiple diffusion models one after another, in
Diffusion_model
Dynamic stylesheet language
a dynamic preprocessor style sheet language that can be compiled into Cascading Style Sheets (CSS) and run on the client side or server side. Designed
Less_(style_sheet_language)
Integral expressing the amount of overlap of one function as it is shifted over another
scalar multiplication a ( f ∗ g ) = ( a f ) ∗ g {\displaystyle a(f*g)=(af)*g} for any real (or complex) number a {\displaystyle a} . Multiplicative identity
Convolution
Mechanism occurring in nature and mimicked in industry and engineering
use countercurrent multiplication between rising and falling convection currents to reduce the number of stages needed in a cascade. Some Centrifugal extractors
Countercurrent_exchange
Mathematical model of the time dependence of a point in space
01089 [cs.LG]. Gaussian multiplicative chaos revisited https://hal.science/hal-00293830v1/document Complex Gaussian multiplicative chaos https://ui.adsabs
Dynamical_system
Transform in numerical harmonic analysis
{X}}\right).} This 'embedding' of wavelets in a multiplicative algebra involves generalized multiplicative approximations and detail operators: For instance
Discrete_wavelet_transform
Electronic circuit that charges capacitors
stage of a higher-order multiplier: cascading identical stages together achieves a greater voltage multiplication. The Villard circuit, conceived by Paul
Voltage_doubler
Type of feedforward neural network
required for processing an image sized 100 × 100 pixels. However, applying cascaded convolution (or cross-correlation) kernels, only 25 weights for each convolutional
Convolutional_neural_network
Kinetic energy device designed to destroy satellites in orbit
collide with other satellites and generate more space debris. A cascading multiplication of space debris could cause Earth to suffer from Kessler syndrome
Anti-satellite_weapon
Simple polynomial map exhibiting chaotic behavior
Bodnar after work by Phil Ramsden, Wolfram Demonstrations Project. Multiplicative coupling of 2 logistic maps by C. Pellicer-Lostao and R. Lopez-Ruiz
Logistic_map
he carried out the first experimental observation of the bifurcation cascade that leads to chaos and turbulence in convective Rayleigh–Bénard systems
Albert_J._Libchaber
Second order recursive digital linear filter
therefore, higher-order filters are typically implemented as serially-cascaded biquad sections (and a first-order filter if necessary). The two poles
Digital_biquad_filter
Early mechanical calculator
independent of the state of the others, enabling multiple carries to rapidly cascade from one digit to another regardless of the machine's capacity. Pascal
Pascaline
Electrical circuit
negative feedback to compute the logarithm. Multistage log amplifiers instead cascade multiple simple amplifiers to approximate the logarithm's curve. Temperature-compensated
Log_amplifier
Standard sizes of paper
several extensions. The following international paper sizes are included in Cascading Style Sheets (CSS): A3, A4, A5, B4, B5. There are 11 sizes in the A series
Paper_size
Electrical device designed to produce short high-voltage or high-current surges
condenser of cascade connection with prize "For Development". Through this condenser, Jedlik framed the principle of surge generator of cascaded connection
Impulse_generator
Method to draw shadows in computer graphic images
html CSM "Cascaded" http://developer.download.nvidia.com/SDK/10.5/opengl/src/cascaded_shadow_maps/doc/cascaded_shadow_maps.pdf LiSPSM "Light
Shadow_mapping
Punctuation mark (!)
keyboards, the C convention has spread informally to other contexts. In Cascading Style Sheets (CSS), "!" is used as a delimiter in the !important flag
Exclamation_mark
Mechanical machine for arithmetic operations for absolute calculators
translated from the French: "De plus le report ne s'effectuant pas en cascade, la machine devait se bloquer au-delà de quelques reports simultanés",
Mechanical_calculator
2019 AMD 7-nanometer processor microarchitecture
can deliver higher performance at a lower power consumption than Intel's Cascade Lake architecture, with an example being the AMD Ryzen Threadripper 3970X
Zen_2
Detection single parties and photons
due to the channel being at an angle to the plate. The impact starts a cascade of electrons that propagates through the channel, amplifying the original
Microchannel_plate_detector
Eradicated viral disease
characterized by a decrease in all of the elements of the coagulation cascade and an increase in circulating antithrombin. This form of smallpox occurs
Smallpox
Family of solutions to related differential equations
Mathematical Functions. NIST. Retrieved 2024-11-20. Khokonov, M. Kh. (2004). "Cascade Processes of Energy Loss by Emission of Hard Photons". Journal of Experimental
Bessel_function
Hexagonal lattice made of carbon atoms
and thicknesses roughly in the range of 1-10 monolayers. However, liquid cascade centrifugation can be used to size-select the suspensions and achieve monolayer
Graphene
Taking in the meaning of letters or symbols
Palethorpe S, Castles A (October 2012). "Nonword reading: comparing dual-route cascaded and connectionist dual-process models with human data". J Exp Psychol Hum
Reading
Electronic circuit
multipliers just double or triple the frequency, and multiplication by higher factors is accomplished by cascading doubler and tripler stages. Frequency multipliers
Frequency_multiplier
Block cipher
for the others: the key itself for the first half of the cipher, its multiplicative inverse mod n for the last half, and the XOR of these two for the middle
Xmx
Adaptive boosting based classification algorithm
learner. Bootstrap aggregating CoBoosting BrownBoost Gradient boosting Multiplicative weight update method § AdaBoost algorithm Freund, Yoav; Schapire, Robert
AdaBoost
Pseudorandom number generator
bit of x {\displaystyle x} . As like TGFSR(R), the Mersenne Twister is cascaded with a tempering transform to compensate for the reduced dimensionality
Mersenne_Twister
Topics referred to by the same term
Look up avalanche in Wiktionary, the free dictionary. An avalanche is a cascade of snow down a slope. Avalanche may also refer to: Avalanche, Wisconsin
Avalanche_(disambiguation)
Instruction set extension by Intel
instructions which were not present in AVX-512BW. VNNI: introduced with Cascade Lake. AVX-512 Vector Neural Network Instructions (VNNI) – vector instructions
AVX-512
Output as a function of input frequency
simpler analysis of cascaded systems such as multistage amplifiers, as the response of the overall system can be found through multiplication of the individual
Frequency_response
Device that controls current between electrodes
resistive, and its ends were connected to enough voltage to create repeated cascades of electrons. The microchannel plate consists of an array of single stage
Vacuum_tube
Term in biology
mating types, each of which can mate with 4 other mating types. By multiplicative combination, it generates a vast number of mating types. As an illustration
Mating_type
AMD computing architecture
connected to multiple other engines through three main interfaces, namely cascade, memory and stream interfaces. Each one represents a possible communication
AI_engine
Evil supernatural being
Theology: Reading the Biblical Text in its Cultural and Literary Context. Cascade Books. ISBN 978-1625648259. Demon at Wikipedia's sister projects: Definitions
Demon
Block cipher and message authentication code
cipher's multiplications and swaps. WMDRM uses this algorithm only as a MAC, never for encryption. Borisov, et al. applied a multiplicative form of differential
MultiSwap
Mammalian hormone released from the pituitary gland
Acher R, Chauvet J (July 1995). "The neurohypophysial endocrine regulatory cascade: precursors, mediators, receptors, and effectors". Frontiers in Neuroendocrinology
Vasopressin
Practice and study of secure communication techniques
problems, most public-key algorithms involve operations such as modular multiplication and exponentiation, which are much more computationally expensive than
Cryptography
Family of instruction set architectures
which can be invoked by both hardware and software. The interrupts can cascade, using the stack to store the status and return address. The Intel 80186
X86
Type of diode
package for the local oscillator. In some applications, such as harmonic multiplication, a large signal amplitude alternating voltage is applied across a varicap
Varicap
Block cipher designed in 2000 by Chang-Hyi Lee
on the discrete exponentiation 45x as in SAFER, the other using the multiplicative inverse in the finite field GF(28), as introduced by SHARK. Zodiac is
Zodiac_(cipher)
Mathematical operation modeling parallel resistors
}}} has a multiplicative inverse a − 1 = 1 / a {\displaystyle a^{-1}=1/a} : a ⋅ 1 a = 1. {\displaystyle a\cdot {\frac {1}{a}}=1.} Multiplication is distributive
Parallel_(operator)
Design language by Microsoft
previews of windows, and "Flip 3D", a window switching mechanism which cascades windows with a 3D effect. Windows 7 features refinements in Windows Aero
Windows_Aero
Method of physical modelling synthesis
frequency at which the unwrapped phase response of the delay and filter in cascade is − 2 π {\displaystyle -2\pi } . The required phase delay D for a given
Karplus–Strong string synthesis
Karplus–Strong_string_synthesis
Gas-filled tube, electrical switch, rectifier
handle much greater currents than similar hard-vacuum tubes. Electron multiplication occurs when the gas becomes ionized, producing a phenomenon known as
Thyratron
Cryptography algorithm
description of the weakness of ECB. Different cipher modes mask patterns by cascading outputs from the cipher block or other globally deterministic variables
Block cipher mode of operation
Block_cipher_mode_of_operation
Computational model used in machine learning
nodes were Kolmogorov-Gabor polynomials, the first deep networks with multiplicative units or "gates". The first deep learning multilayer perceptron (MLP)
Neural network (machine learning)
Neural_network_(machine_learning)
List of x86 microprocessor instructions
(Discontinued – the last processors to support HLE were Coffee Lake and Cascade Lake) XRELEASE F3 Instruction prefix to indicate end of hardware lock elision
List_of_x86_instructions
Chemical compounds that regulate plant growth and development
plasma membrane which leads to a signal cascade that further regulates cell elongation. This signal cascade however is not entirely understood at this
Plant_hormone
Lossless compression algorithm
encoder models were purely byte-based (i.e. they coded each bit using only a cascade of contexts to represent the dependencies on previous bits from the same
LZMA
Digital circuit that produces sums from inputs
{\displaystyle 2C_{out}+S} . The full adder is usually a component in a cascade of adders, which add 8, 16, 32, etc. bit binary numbers. A full adder can
Adder_(electronics)
byte-parallel hardware implementations this calls for either 8-input or cascaded XOR gates which have substantial gate delay. To maximise computation speed
Computation of cyclic redundancy checks
Computation_of_cyclic_redundancy_checks
Sensors of light or other electromagnetic energy
detect light through, for instance, a rhodopsin photon-induced chemical cascade. Chemical detectors, such as photographic plates, in which a silver halide
Photodetector
Enzyme kinetics and chemical bonding
overall cascade global ultrasensitivity had to be less than or equal to the product of the global ultrasensitivity estimations of each cascade's layer,
Cooperativity
Solid-state photodetector
2025-02-20. Butler, Richard. "Why Canon's cutting-edge sensor tech may not cascade down to photographers". DPReview. Retrieved 16 April 2026. Eisele, A.;
Single-photon_avalanche_diode
Mathematical constants related to chaotic behavior
3\delta \approx \alpha ^{2}} . Bifurcation diagram Bifurcation theory Cascading failure Feigenbaum function List of chaotic maps The Feigenbaum Constant
Feigenbaum_constants
Semiconductor device with variable capacitance
lower frequency input. This type of frequency multiplication is demonstrated as triplers (3× multiplication) at 100 GHz through 282 GHz and up to 450 GHz
Heterostructure barrier varactor
Heterostructure_barrier_varactor
Instructions for the x86 microprocessors
learning. VPOPCNTDQ – count of bits set to 1. VPCLMULQDQ – carry-less multiplication of quadwords. AVX-512 Vector Neural Network Instructions (VNNI) – vector
Advanced_Vector_Extensions
Form of data structure
vector-based graphics editing applications and modern computer games, which cascades the inheritance or spatial representation of a set of objects. It is a
Scene_graph
Cryptographic attack
As a result, the amount to shift must not be secret. Older CPUs run multiplications in a way similar to division. The execution time for the square-and-multiply
Timing_attack
Optical device with parallel mirrors
{\displaystyle \delta =2k\ell \,\cos \theta .} To within a constant multiplicative phase factor, the amplitude of the mth transmitted beam can be written
Fabry–Pérot_interferometer
Polymer in bacterial cell walls
of two signalling cascades. One triggers activation of NF-κB (through RIP2, TAK1 and IKK), second leads to MAPK signalling cascade. Activation of these
Peptidoglycan
Ray tracing technique
so-called ABCD matrices which can similarly be multiplied to solve for cascaded systems. As one example, if there is free space between the two planes
Ray_transfer_matrix_analysis
Numerical symbol
computer languages and standard data formats (e.g., C, Java, Fortran, Cascading Style Sheets (CSS)) specify a dot. C++ and a few others permit a quote
Decimal_separator
Computer that uses photons or light waves
note that real-world logic systems require "logic-level restoration, cascadability, fan-out and input–output isolation", all of which are provided by electronic
Optical_computing
Species of plant
thousand-bloom, standard (trees), fans, hanging baskets, topiary, bonsai, and cascades. Chrysanthemum blooms are divided into 13 different bloom forms by the
Chrysanthemum_×_morifolium
Method for converting signals between digital and analog
of the early examples of this. Cascaded integrator–comb filters: These are called sincN filters, equivalent to cascading the above sinc1 filter N times
Delta-sigma_modulation
Electronic oscillator circuit
using frequency multiplication; a multiplication of a frequency by N increases the phase noise power by N2. A frequency multiplication by 10 times multiplies
Crystal_oscillator
Paleolithic artifact from Congo
tool using the base 12 and sub-bases 3 and 4, and involving simple multiplication, somewhat comparable to a primitive slide rule. They have concluded
Ishango_bone
Descriptor of computer vision
computer vision package which includes an implementation of LBPs. OpenCV's Cascade Classifiers support LBPs as of version 2. VLFeat, an open source computer
Local_binary_patterns
Type of filter in signal processing
Fourier transform (DTFT) and its inverse. Therefore, the complex-valued, multiplicative function H ( ω ) {\displaystyle H(\omega )} is the filter's frequency
Finite_impulse_response
Tactical scuba diver
Hopcalite Molecular sieve Silica gel Booster pump Carbon dioxide scrubber Cascade filling system Diver's pump Diving air compressor Diving air filter Water
Frogman
dependence on the number of devices (stages). Unlike the multiplicative nature of a cascade of conventional amplifiers, the DA demonstrates an additive
Distributed_amplifier
Uncontrolled nuclear fission chain reaction
neutrons emitted per unit time exceeds those absorbed or lost, resulting in a cascade of nuclear fissions at increasing rate. Criticality can be achieved by
Criticality_accident
Chinese block cipher
with Advanced Encryption Standard (AES), the S-box is based on the multiplicative inverse over GF(28). The affine transforms and polynomial bases are
SM4_(cipher)
MULTIPLICATIVE CASCADE
MULTIPLICATIVE CASCADE
Female
Hebrew
(מֵרַב) Variant spelling of Hebrew Merab, MERAV means "increase, multiplication."Â
Girl/Female
American, Anglo, Australian, British, Christian, English, German, Spanish
Abbreviation of Lynnette who Accompanied Sir Gareth on a Knightly Quest in Arthurian Legend; Waterfall; A Cascade; Lake; Good Looking; Pretty
Girl/Female
Anglo Saxon
A cascade.
Girl/Female
Anglo, Australian, British, Christian, Danish, English, German, Spanish, Swedish
A Cascade; Pretty; Weak; Soft; Tender; Gentle
Girl/Female
American, Anglo, Arabic, Australian, British, Christian, English, Spanish
Waterfall; A Cascade; Lake; Pool; Pretty
Female
Hebrew
(מֵרַב) Variant spelling of Hebrew Merav, MERAB means "increase, multiplication." In the bible, this is the name of the eldest daughter of King Saul.Â
Girl/Female
Christian & English(British/American/Australian)
A Cascade
Girl/Female
American, Anglo, Australian, British, Chinese, Christian, Danish, Dutch, English, Greek, Hebrew, Jamaican, Spanish, Swedish
Waterfall; Pretty; A Cascade; Lake; Pool; Pond
Girl/Female
Anglo Saxon Arthurian Legend English
A cascade.
Girl/Female
American, Anglo, Australian, British, Danish, English, Netherlands, Spanish
Waterfall; A Cascade; Variant of the Irish Gaelic Word Lann; House; Church; Form of Linda; Pretty; Lake
MULTIPLICATIVE CASCADE
MULTIPLICATIVE CASCADE
Boy/Male
Arabic, Islamic, Muslim, Urdu
Avoider; Stopper
Male
English
Famous
Girl/Female
English
Originally the ancient duchy of Bretagne in France. Celtic Bretons emigrated from France to...
Girl/Female
Tamil
Chndraja | சà¯à®¨à¯à®¤à¯à®°à®œà®¾Â
Daughter of the Moon
Boy/Male
Indian, Tamil
God Name
Boy/Male
Tamil
Sudhendra | ஸà¯à®¤à¯‡à®¨à¯à®¤à¯à®°
Indra to Sudhi (Bhoomi), Lord of nectar
Girl/Female
Arabic, Muslim
Command; Glory; Honour; Power; Authority
Boy/Male
Australian, Danish, Norse, Swedish
Rock Defender; Guardian of the Rock; Rock Guardian
Girl/Female
Tamil
Saviour, She who frees, She who delivers from sin, Another name for Durga, Goddess Parvati
Boy/Male
Tamil
MULTIPLICATIVE CASCADE
MULTIPLICATIVE CASCADE
MULTIPLICATIVE CASCADE
MULTIPLICATIVE CASCADE
MULTIPLICATIVE CASCADE
a.
Tending to multiply; having the power to multiply, or incease numbers.
v. t.
To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication.
n.
The result of any process inverse to multiplication. See the Note under Multiplication.
n.
The number or sum obtained by adding one number or quantity to itself as many times as there are units in another number; the number resulting from the multiplication of two or more numbers; as, the product of the multiplication of 7 by 5 is 35. In general, the result of any kind of multiplication. See the Note under Multiplication.
n.
Superabundant fecundity or multiplication of the species.
adv.
So as to multiply.
n.
An increase above the normal number of parts, especially of petals; augmentation.
n.
Formation into, or multiplication of, vacuoles.
n.
The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed; -- the reverse of division.
n.
The chain of micrococci formed by the division of the micrococci in multiplication.
n.
The act or process of multiplying, or of increasing in number; the state of being multiplied; as, the multiplication of the human species by natural generation.
n.
The act or process of populating; multiplication of inhabitants.
a.
Characterized by polysyndeton, or the multiplication of conjunctions.
n.
Multiplication or increase by gemmation or budding.
n.
The art of increasing gold or silver by magic, -- attributed formerly to the alchemists.
n.
The number which is to be multiplied by another number called the multiplier. See Note under Multiplication.
n.
The number by which another number is multiplied. See the Note under Multiplication.
a.
Consisting of many, or of more than one; multiple; multifold.
n.
A disease (morbus pediculous) consisting in the excessive multiplication of lice on the human body.