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Topics referred to by the same term
Exponential shift may refer to: Exponential shift theorem, a shift theorem about polynomial differential operators and exponential function in mathematics
Exponential_shift
In mathematics, the (exponential) shift theorem is a theorem about polynomial differential operators (D-operators) and exponential functions. It permits
Shift_theorem
Version of scientific notation
EE↓ and EE↑ keys shifted the exponent and decimal point by ±1 in scientific notation. Between 1976 and 1980 the same exponent shift facility was also
Engineering_notation
Generates a forecast of future values of a time series
Exponential smoothing or exponential moving average (EMA) is a technique for smoothing time series data using the exponential window function. Whereas
Exponential_smoothing
Describes the sum of independent normal and exponential random variables
of a shifted exponential with the weight being a function of the normal distribution. The probability density function (pdf) of the exponentially modified
Exponentially modified Gaussian distribution
Exponentially_modified_Gaussian_distribution
Monte Carlo distribution shifting technique
Exponential tilting (ET), exponential twisting, or exponential change of measure (ECM) is a distribution-shifting technique used in many parts of mathematics
Exponential_tilting
Differential equation that is linear with respect to the unknown function
then the operator that has P as characteristic polynomial. By the exponential shift theorem, ( d d x − α ) ( x k e α x ) = k x k − 1 e α x , {\displaystyle
Linear_differential_equation
Mathematical transform
defined in the context of graphs. However, by replacing the complex exponential shift in classical Fourier transform with the graph Laplacian eigenvectors
Graph_Fourier_transform
Type of statistical measure over subsets of a dataset
the weights in the exponential moving average which follows. An exponential moving average (EMA), also known as an exponentially weighted moving average
Moving_average
Frequency swept signal
_{0}+2\pi \left({\frac {c}{2}}t^{2}+f_{0}t\right)\right]} Exponential chirp Sound example for exponential chirp (five repetitions) Problems playing this file
Chirp
Smooth approximation of one-hot arg max
The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution
Softmax_function
)^{n+1}}}} Re(s) > −α Integrate unit step, apply frequency shift, apply time shift exponential decay e − α t u ( t ) {\displaystyle e^{-\alpha t}u(t)} 1
List_of_Laplace_transforms
Integral transform useful in probability theory, physics, and engineering
weighting function to be used, rather than the exponential function, to transform functions not of exponential type. Nachbin's theorem gives necessary and
Laplace_transform
Integral transform generalizing both Laplace and Sumudu transforms
{\displaystyle f\in AC^{n}(a,b)} for b > a {\displaystyle b>a} and of exponential order. Then S [ C D t α f ( t ) ] = ( s u ) α S [ f ( t ) ] − ∑ k = 0
Shehu_transform
2005 non-fiction book by Ray Kurzweil
Kurzweil describes his Law of Accelerating Returns, which predicts an exponential increase in technologies like computers, genetics, nanotechnology, robotics
The_Singularity_Is_Near
The shifted Gompertz distribution The type-2 Gumbel distribution The Weibull distribution or Rosin Rammler distribution, of which the exponential distribution
List of probability distributions
List_of_probability_distributions
S-shaped curve
as x → + ∞ {\displaystyle x\to +\infty } is L {\displaystyle L} . The exponential function with negated argument ( e − x {\displaystyle e^{-x}} ) is used
Logistic_function
Set of rules defining correctly structured programs
integer ≥ argument Math.cos(Math.PI/4) 0.70711 Cosine Math.exp(1) 2.7183 Exponential function: e raised to this power Math.floor(1.9) 1 Floor: round down
JavaScript_syntax
Type of shift register in computing
1967 book. The number of different primitive polynomials grows exponentially with shift-register length and can be calculated exactly using Euler's totient
Linear-feedback shift register
Linear-feedback_shift_register
State of soil, meeting ecosystem functions
food security, agro-ecosystem, environment, and human life has exponentially shifted the research trends toward soil health. However, the lack of a
Soil_health
Algorithm for computing trigonometric, hyperbolic, logarithmic and exponential functions
the class of "shift-and-add" algorithms, as are the logarithm and exponential algorithms derived from Henry Briggs' work. Another shift-and-add algorithm
CORDIC
Type of activation function
in that the softplus function numerically approximates the sum of an exponential number of linear models that share parameters. They then proposed ReLU
Rectified_linear_unit
Hypothetical event
mistake the logistic function (S-function) for an exponential function, and to see a "knee" in an exponential function where there can in fact be no such thing
Technological_singularity
Formula in Lie group theory
Lie groups, the exponential map is a map from the Lie algebra g of a Lie group G into G. In case G is a matrix Lie group, the exponential map reduces to
Derivative of the exponential map
Derivative_of_the_exponential_map
Problem in computer science
taking exponential queries with a classical algorithm. Childs, Andrew M.; van Dam, Wim (2007), "Quantum algorithm for a generalized hidden shift problem"
Hidden_shift_problem
Generalization of exponential distribution
The q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including
Q-exponential_distribution
Free online crowdsourced encyclopedia
repeatedly modified to accommodate the exponentially increasing demand. In July 2002 (Phase III), Wikipedia shifted to the third-generation software, MediaWiki
Wikipedia
Class of bottom-up parsing methods
methods that backtrack may take exponential time when they guess badly.[citation needed] To avoid guessing, the shift-reduce parser often looks ahead
Shift-reduce_parser
Abrupt changes in structure and function of systems
similar to regime shifts, and utilize similar mathematical models. During the last decades, research on regime shift has grown exponentially. Academic papers
Regime_shift
Mathematical function, inverse of an exponential function
inverse of the complex exponential function. Similarly, the discrete logarithm is the multi-valued inverse of the exponential function in finite groups;
Logarithm
Exponential growth based on a constant rate
Malthusian growth model, sometimes called a simple exponential growth model, is essentially exponential growth based on the idea of the function being proportional
Malthusian_growth_model
Observation that the intrinsic rate of human performance is exponential
in the shift from an incremental improvement curve to an exponential improvement curve. Whereas B-level activities achieve mildly-exponential results
Engelbart's_law
Heavy-tail probability distribution
variables with exponential distributions. The Lomax distribution is a special case of the q-exponential distribution. The q-exponential extends this distribution
Lomax_distribution
Method for displaying sine wave vectors
the measured curve. If we have decay curve which is represented by an exponential function with lifetime of τ: d ( t ) = d 0 e − t / τ {\displaystyle
Phasor approach to fluorescence lifetime and spectral imaging
Phasor_approach_to_fluorescence_lifetime_and_spectral_imaging
Mathematical model which is both linear and time-invariant
eigenfunctions, and the basis functions of the transforms, are complex exponentials. As a result, if the input to a system is the complex waveform A s e
Linear_time-invariant_system
Accelerating change proposed by Ray Kurzweil
Returns". In it, Kurzweil argued for extending Moore's Law to describe exponential growth of diverse forms of technological progress. Whenever a technology
The Law of Accelerating Returns
The_Law_of_Accelerating_Returns
Type of parser in computer science
parses may even take exponential time when they guess badly. The above properties of L, R, and k are actually shared by all shift-reduce parsers, including
LR_parser
Continuous probability distribution
distribution gives rise to the Meixner distribution, also known as the Natural Exponential Family - Generalised Hyperbolic Secant or NEF-GHS distribution. A random
Hyperbolic secant distribution
Hyperbolic_secant_distribution
Event that is both extremely large in effect and of unique origins
power law tail is exponential, one can take the logarithm of power law data and then test for outliers relative to an exponential tail. There are many
Dragon_king_theory
Mathematical technique
will decay exponentially as the distance from the kernel's center increases. At convergence, there will be no direction at which a shift can accommodate
Mean_shift
Unsolved problem in computer science
that solves the task and runs in polynomial time (as opposed to, say, exponential time), meaning the task completion time is bounded above by a polynomial
P_versus_NP_problem
Matrix equal to its conjugate-transpose
(chemistry) Related terms Jordan normal form Linear independence Matrix exponential Matrix representation of conic sections Perfect matrix Pseudoinverse
Hermitian_matrix
Mathematical transform that expresses a function of time as a function of frequency
Variations of all three conventions can be created by conjugating the complex-exponential kernel of both the forward and the reverse transform. The signs must
Fourier_transform
Indicator in technical analysis
* (n - 1) + newdata) / n, which is equivalent to the aforementioned exponential smoothing. So new data is simply divided by n, or multiplied by α and
Relative_strength_index
Function used in signal processing
the exponential window increases exponentially towards the center of the window and decreases exponentially in the second half. Since the exponential function
Window_function
Chart indicator of moving average convergence/divergence
two. The MACD series is the difference between a "fast" (short period) exponential moving average (EMA), and a "slow" (longer period) EMA of the price series
MACD
Generalization of the Bernoulli process to more than two possible outcomes
In mathematics, the Bernoulli scheme or Bernoulli shift is a generalization of the Bernoulli process to more than two possible outcomes. Bernoulli schemes
Bernoulli_scheme
Intelligence of machines
problems because they experience a "combinatorial explosion": They become exponentially slower as the problems grow. Even humans rarely use the step-by-step
Artificial_intelligence
Approximation method in statistics
from an exponential family with identity as its natural sufficient statistics and mild-conditions are satisfied (e.g. for normal, exponential, Poisson
Least_squares
widespread empirical correlation for liquid viscosity is a two-parameter exponential: μ = A e B / T {\displaystyle \mu =Ae^{B/T}} This equation was first
Temperature dependence of viscosity
Temperature_dependence_of_viscosity
Shift-and-add algorithm
Jean-Michel Muller. BKM is based on computing complex logarithms (L-mode) and exponentials (E-mode) using a method similar to the algorithm Henry Briggs used to
BKM_algorithm
Product of numbers from 1 to n
In mathematical analysis, factorials are used in power series for the exponential function and other functions, and they also have applications in algebra
Factorial
Increase in the rate of technological change through history
studies and the history of technology, accelerating change is the observed exponential nature of the rate of technological change in recent history, which may
Accelerating_change
Concise notation for large or small numbers
notation, is desired. Normalized scientific notation is often called exponential notation – although the latter term is more general and also applies
Scientific_notation
Formal power series
types of generating functions, including ordinary generating functions, exponential generating functions, Lambert series, Bell series, and Dirichlet series
Generating_function
2013 incremental game published by DashNet
cookies in various ways. As cookies are earned at an exponential rate, the game gradually shifts to themes of cosmic horror. Similar to other incremental
Cookie_Clicker
Laboratory technique
population difference between the two nuclear levels, which increases exponentially with the magnetic field strength. Less expensive machines using permanent
Nuclear magnetic resonance spectroscopy
Nuclear_magnetic_resonance_spectroscopy
Concept involving online bot activity
maneuvered ourselves into. Decoupled, proliferated, and in a state of exponential metastasis. — Thomas Sommerer Facebook includes an option to provide
Dead_Internet_theory
Type of machine learning model
}}\Pr({\text{correct token}})} , then ( log x , y ) {\displaystyle (\log x,y)} is an exponential curve (before it hits the plateau at one), which looks like emergence
Large_language_model
Semiconductor light source
by Cree exceed 105 lm/W. Examples for Haitz's law—which predicts an exponential rise in light output and efficacy of LEDs over time—are the CREE XP-G
Light-emitting_diode
Increase in the number of individuals in a population
grow exponentially, rather they follow a logistic model. Once the population has reached its carrying capacity, it will stabilize and the exponential curve
Population_growth
Natural number
OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000110 (Bell or exponential numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation
100,000,000
Families of matrices in mathematics, physics, and quantum information
physics. The clock matrix amounts to the exponential of position in a "clock" of d {\displaystyle d} hours, and the shift matrix is just the translation operator
Generalizations of Pauli matrices
Generalizations_of_Pauli_matrices
Online database of integer sequences
contiguous block of 1s in binary expansion of nth prime. Nov 20, 2003 A091345 Exponential convolution of A069321(n) with itself, where we set A069321(0) = 0. Jan
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_of_Integer_Sequences
Information-technology database concept
radical shift in information systems that will be needed to address organizational needs for storing, retrieving, moving and processing exponentially growing
Data-centric_computing
Mathematical expression with disputed status
Baxley, John V.; Hayashi, Elmer K. (June 1978). "Indeterminate Forms of Exponential Type". The American Mathematical Monthly. 85 (6): 484–486. doi:10.2307/2320074
Zero_to_the_power_of_zero
Idea that small causes can have large effects
conditions if points arbitrarily close together separate over time at an exponential rate. The definition is not topological, but essentially metrical. Lorenz
Butterfly_effect
Probability distribution
distribution. It is the discrete version of the same property found in the exponential distribution. The property asserts that the number of previously failed
Geometric_distribution
The use of exponential generating functions (EGFs) to study the properties of Stirling numbers is a classical exercise in combinatorial mathematics and
Stirling numbers and exponential generating functions in symbolic combinatorics
Stirling_numbers_and_exponential_generating_functions_in_symbolic_combinatorics
American social networking service
"While the amount of CSE (child sexual exploitation) online has grown exponentially, Twitter's investment in technologies to detect and manage the growth
X_(social_network)
Variation of Cohen's class distribution function
Choi and William J. Williams in 1989. This distribution function adopts exponential kernel to suppress the cross-term. However, the kernel gain does not
Choi–Williams distribution function
Choi–Williams_distribution_function
Analysing a string of symbols, according to the rules of a formal grammar
cannot accommodate direct and indirect left-recursion and may require exponential time and space complexity while parsing ambiguous context-free grammars
Parsing
Monochrome light beam whose amplitude envelope is a Gaussian function
isn't obvious using the complex q in the exponent. Expansion of that exponential also produces a phase factor in x, which accounts for the wavefront curvature
Gaussian_beam
Probability distribution
distribution. Equivalently, if Y has a normal distribution, then the exponential function of Y, X = exp(Y), has a log-normal distribution. A random variable
Log-normal_distribution
Probability distribution
a special case. This family also contains both the unshifted and shifted exponential distributions. The Pareto distribution with scale x m {\displaystyle
Pareto_distribution
Function in discrete mathematics
advantage of this approach is that it expands the signal in complex exponentials e i n x {\displaystyle e^{inx}} , which are eigenfunctions of differentiation:
Discrete_Fourier_transform
Concept in machine learning
The exponential loss is convex and grows exponentially for negative values which makes it more sensitive to outliers. The exponentially-weighted
Loss functions for classification
Loss_functions_for_classification
two equations can be used to solve for cosine and sine in terms of the exponential function. Specifically, cos x = e i x + e − i x 2 {\displaystyle \cos
List of trigonometric identities
List_of_trigonometric_identities
Instruction set extension by Intel
implemented by Knights Landing and Skylake X AVX-512 Exponential and Reciprocal Instructions (ER) – exponential and reciprocal operations designed to help implement
AVX-512
Type of broadband antenna
direct coaxial connection. From the open space, the signal traverses an exponentially tapered pattern via a symmetrical slot line. Vivaldi antennas can be
Vivaldi_antenna
Basic circuit in quantum computing
for example Z X = i Y = − X Z . {\displaystyle ZX=iY=-XZ.} The matrix exponential of a Pauli matrix σ j {\displaystyle \sigma _{j}} is a rotation operator
Quantum_logic_gate
Type of control chart in statistical quality control
In statistical quality control, an EWMA chart (or exponentially weighted moving average chart) is a type of control chart used to monitor either variables
EWMA_chart
Family of functions to transform data
to 1. Q-exponential family – a generalization of the standard exponential family that replaces the exponential function with the q-exponential form derived
Power_transform
Probability distribution
The shifted Gompertz distribution is the distribution of the larger of two independent random variables one of which has an exponential distribution with
Shifted_Gompertz_distribution
Sum of elements on the main diagonal
eigenvalues), one can derive a relation between the trace function, the matrix exponential function, and the determinant: det ( exp ( A ) ) = exp ( tr ( A
Trace_(linear_algebra)
Modification of frequency and time distributions of signals, as used in computer graphics
computer graphic techniques, signals can be subjected to horizontal shifting, vertical shifting, dilation (scaling), shearing, rotation, and twisting. These
Motions in the time-frequency distribution
Motions_in_the_time-frequency_distribution
Statistical physics approach
especially the κ-exponential function. The Kaniadakis exponential (or κ-exponential) function is a one-parameter generalization of an exponential function, given
Kaniadakis_statistics
Doubling map on the unit interval
The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map) is the mapping (i.e
Dyadic_transformation
Ecological competition between organisms of the same species
then individuals do not compete and the population grows exponentially. Prolonged exponential growth is rare in nature because resources are finite and
Intraspecific_competition
"Smoothing" integral transform
definition of the Weierstrass transform. The Weierstrass transform of the exponential function x ↦ exp ( a x ) {\displaystyle x\mapsto \exp(ax)} (where a
Weierstrass_transform
Finnish software company
Tara (2022-04-12). "Finnish Startup Community's member companies are growing exponentially". Helsinki Times. Retrieved 2025-08-28. Official website
Supermetrics
characterized by profound and continuous changes due to globalization, exponential leaps in technological capabilities, and other market forces. Rapid developments
Network-centric_organization
Observation on the growth of integrated circuit capacity
contributing factors for this exponential behavior: The advent of metal–oxide–semiconductor (MOS) technology The exponential rate of increase in die sizes
Moore's_law
Compact astronomical body
associated with a parameter dictating the black hole's internal mass growing exponentially, and the buildup of tidal forces is called the mass-inflation singularity
Black_hole
Variation of Cohen's class distribution function
preserving all cross-terms. The Choi-Williams Distribution uses an exponential kernel that covers both axes but decays away from them. The Cone-Shape
Cone-shape distribution function
Cone-shape_distribution_function
Special function in the physical sciences
{\displaystyle k<0} and exponential for k > 0 {\displaystyle k>0} , the Airy functions are oscillatory for x < 0 {\displaystyle x<0} and exponential for x > 0 {\displaystyle
Airy_function
Parsing technique
left-recursive grammars, and top-down parsing with backtracking may have exponential time complexity with respect to the length of the input for ambiguous
Top-down_parsing
Non-linear optical imaging modality
of pump–probe data are multi-exponential fitting, principal component analysis, and phasor analysis. In multi-exponential fitting, the time-resolved curves
Pump–probe_microscopy
Inverse of a finite difference
solution is the unique analytic solution that has the minimal possible exponential type (that is, its growth in the imaginary direction on the complex plane
Indefinite_sum
Electrically insulating substance able to be polarised by an applied electric field
original state. The time required to do so is called relaxation time; an exponential decay. This is the essence of the model in physics. The behaviour of
Dielectric
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
Surname or Lastname
English
English : occupational name for a servant, Middle English ladde. The word first appeared in the 13th century, with the meaning ‘servant’ or ‘man of humble birth’, the modern meaning of ‘young man’, ‘boy’ being a later shift.Most American bearers of this name trace their ancestry to a certain Daniel Ladd, who emigrated from London to Ipswich, MA, in 1634.
Surname or Lastname
English
English : from Middle English smoc, smok ‘smock’, ‘shift’, hence a metonymic occupational name for someone who made or sold such garments, or a nickname for someone who habitually wore a smock (the usual everyday working garment of a peasant).
Male
Scandinavian
Scandinavian name derived from Old Norse hamr, HEMMING means "shape." The name may have originated as a byname for a "shape-shifter" or "werewolf."
Surname or Lastname
English
English : from Middle English persone, parsoun ‘parish priest’, ‘parson’ (Old French persone, from Latin persona ‘person’, ‘character’), hence a status name for a parish priest or perhaps a nickname for a devout man. The reasons for the semantic shift from ‘person’ to ‘priest’ are not certain; the most plausible explanation is that the local priest was regarded as the representative person of the parish. The phonetic change from -er- to -ar- was a regular development in Middle English.Americanized form of one or more like-sounding Jewish names.Americanized spelling of Swedish Pärsson, Persson (see Persson).
Surname or Lastname
English and German
English and German : from a Germanic personal name, either a short form of compound names such as Billard, or else a byname Bill(a), from Old English bil ‘sword’, ‘halberd’ (or a Continental cognate). (Bill as a short form of William was not used until the 17th century.)English : metonymic occupational name for a maker of pruning hooks and similar implements, from Middle English bill, from Old English bil ‘sword’, with the meaning shifted to a more peaceful agricultural application (see Biller 5).
Female
Finnish
Finnish myth name from the Kalevala, possibly LOUHI means "trance." Louhi was a queen of Pohjola, and a witch with the ability to shape-shift and cast powerful magic spells.Â
Male
Greek
(Αἴολος) Greek name AIOLOS means "sparkling; quick-shifting; quick-moving." In mythology, this is the name of the god of winds.Â
Male
Welsh
Welsh Arthurian legend name of a Knight of the Round Table best remembered as the lover of Esyllt (French: Tristan and Iseult). But the earliest texts hint at a character who was far more than just a lover; he was a master of deception and had the ability to shape-shift, a definite attribute of a trickster. In the Cymric Trioedd, Esyllt is his uncle's wife; with the help of the swineherd, Drystan arranges for a secret tryst with her, but Arthur shows up unexpectedly wanting to steal some of his uncle's swine, and Drystan somehow outwits the Forever King.     The name has been associated with Latin tristis "sad," referring to the tragic fate of the young "lover." It has been linked with Pictish drust of unknown DRYSTAN means, and Celtic drest, "riot, tumult." The latter comes closest to fitting his true character; compare with Old English þr�st/þrÃste: "bold, daring, rash, audacious," and even "shameless."Â
Male
Greek
Variant spelling of Greek Aiolos, AEOLOS means "sparkling; quick-shifting; quick-moving."
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
Boy/Male
French, German, Greek, Portuguese, Spanish
Divine; Ever-living; Immortal
Boy/Male
Indian
God
Biblical
from the beginning; an inheritance
Boy/Male
Gujarati, Hindu, Indian, Kannada
Divine Body
Boy/Male
Hindu, Indian
Bright Moon
Boy/Male
Hindu, Indian
Lord of Warriors; A Great Warrior
Boy/Male
Gujarati, Hindu, Indian, Kannada
Lord Shiva
Girl/Female
Indian, Sanskrit, Telugu
Star Name; Zodiac
Boy/Male
Tamil
Jnyandeep | ஜà¯à®žà®¾à®¨à®¤à¯€à®ª
Light of knowledge
Boy/Male
Hindu, Indian, Tamil
Truth
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
v. t.
To change the place of; to move or remove from one place to another; as, to shift a burden from one shoulder to another; to shift the blame.
v. t.
The change of one set of workmen for another; hence, a spell, or turn, of work; also, a set of workmen who work in turn with other sets; as, a night shift.
v. t.
To change the position of; to alter the bearings of; to turn; as, to shift the helm or sails.
imp. & p. p.
of Shift
n.
One who, or that which, shifts; one who plays tricks or practices artifice; a cozener.
p. pr. & vb. n.
of Shift
adv.
In a shifting manner.
a.
Destitute of expedients, or not using successful expedients; characterized by failure, especially by failure to provide for one's own support, through negligence or incapacity; hence, lazy; improvident; thriftless; as, a shiftless fellow; shiftless management.
n.
The quality or state of being shifty.
n.
An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
v. t.
To exchange for another of the same class; to remove and to put some similar thing in its place; to change; as, to shift the clothes; to shift the scenes.
a.
Adapted or used for shifting anything.
a.
Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.
n.
An arrangement for shifting a belt sidewise from one pulley to another.
v. t.
Something frequently shifted; especially, a woman's under-garment; a chemise.
a.
Admitting of being shifted.
a.
Full of, or ready with, shifts; fertile in expedients or contrivance.
n.
An assistant to the ship's cook in washing, steeping, and shifting the salt provisions.
a.
Changing in place, position, or direction; varying; variable; fickle; as, shifting winds; shifting opinions or principles.
v. t.
The act of shifting.