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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
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
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
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
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
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
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
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
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
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
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
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
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
)^{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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Arithmetic notation system
&\\&b{\mbox{ copies of }}a\end{matrix}}} Cutler's bar notation shifts these exponentials counterclockwise, forming b a ¯ {\displaystyle {^{b}}{\bar {a}}}
Cutler's_bar_notation
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
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
B-Integral is a measure of the nonlinear optics phase shift of light. It calculates the exponential growth of the least stable spatial frequency in a laser
B_Integral
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
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
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
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
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
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
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
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
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
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
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
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)
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)
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
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
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
Formal power series
types of generating functions, including ordinary generating functions, exponential generating functions, Lambert series, Bell series, and Dirichlet series
Generating_function
characterized by profound and continuous changes due to globalization, exponential leaps in technological capabilities, and other market forces. Rapid developments
Network-centric_organization
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
{(\operatorname {sexp} _{a}(x))'}{(\ln a)^{x}}}+C} [citation needed] (see super-exponential function) Candelpergher, Bernard (2017). "Ramanujan Summation of Divergent
List_of_indefinite_sums
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
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
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
Shift from high to low birth rates
the social sciences (especially demography) referring to the historical shift from high to low rates of birth and death, as societies attain several attributes:
Demographic_transition
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
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
Fundamental theorem in probability theory and statistics
more rapidly than t 2 / n {\textstyle t^{2}/n} . By the limit of the exponential function ( e x = lim n → ∞ ( 1 + x n ) n {\textstyle e^{x}=\lim _{n\to
Central_limit_theorem
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
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
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
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
Linear oscillator circuit using an RC network
amplitude to increase exponentially without limit. Similarly, the slightest decrease will cause the sine wave to die out exponentially to zero. Therefore
RC_oscillator
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
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
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
American multinational technology company
incorporation of Apple. During the first five years of operations, revenue grew exponentially, doubling about every four months. Between September 1977 and September
Apple_Inc.
Technique to find image offset
{v\Delta y}{N}})}\end{aligned}}} since the magnitude of an imaginary exponential always is one, and the phase of G a G a ∗ {\displaystyle \ \mathbf
Phase_correlation
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
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
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
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
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
Measure of linear correlation
example of Stigler's Law. The correlation coefficient can be derived by shifting the x and y data values so they each have zero average over the population
Pearson correlation coefficient
Pearson_correlation_coefficient
Transformation of a mathematical sequence
{\displaystyle {\frac {x}{1+x}}=[0;a_{1}+1,a_{2},a_{3},\cdots ].} For the exponential generating function, let f ¯ ( x ) = ∑ n = 0 ∞ a n x n n ! {\displaystyle
Binomial_transform
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
Numerical method for solving physical or engineering problems
variable size h and polynomial degree p to achieve exceptionally fast, exponential convergence rates. The hpk-FEM combines adaptively elements with variable
Finite_element_method
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
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
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
Port in Tennessee, United States
Memphis on the Wolf River. The facility saw exponential growth of shipments in 1939 and 1940 due to the shift from cotton to corn among Arkansas farmers
Port_of_Memphis
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
Decomposition of periodic functions
the Fourier series of s ( x ) {\displaystyle s(x)} : Sine-cosine form Exponential form The harmonics are indexed by an integer, n , {\displaystyle n,}
Fourier_series
Type of plane wave
reason one would choose to work with complex exponential form of plane waves is that complex exponentials are often algebraically easier to handle than
Sinusoidal_plane_wave
66 (2): 139–147. Zacks, S. (1984). "Estimating the Shift to Wear-Out of Systems Having Exponential-Weibull Life Distributions". Operations Research. 32
Exponentiated Weibull distribution
Exponentiated_Weibull_distribution
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
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).
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
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."
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
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).
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).
Male
Greek
(Αἴολος) Greek name AIOLOS means "sparkling; quick-shifting; quick-moving." In mythology, this is the name of the god of winds.Â
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.
Male
Greek
Variant spelling of Greek Aiolos, AEOLOS means "sparkling; quick-shifting; quick-moving."
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
Boy/Male
Greek
Defender of men; protector of mankind.
Girl/Female
Indian, Sanskrit
Energy; Goodness; Power
Girl/Female
Australian, Irish
Good Health
Female
Hungarian
Hungarian form of English Hannah, HAJNA means "favor; grace."
Boy/Male
French American
From Gascony.
Girl/Female
Indian, Parsi
Water
Girl/Female
Hindu, Indian
Garnishing; Beautiful Night; Rain
Male
German
Old German name, GOMERIC means "man-power."
Girl/Female
Hindu, Indian, Marathi, Tamil
As Bright as Lightining; Wealthy
Girl/Female
Arabic, Muslim
Tender; Affectionate
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
EXPONENTIAL SHIFT
imp. & p. p.
of Shift
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.
adv.
In a shifting manner.
a.
Adapted or used for shifting anything.
v. t.
Something frequently shifted; especially, a woman's under-garment; a chemise.
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.
Admitting of being shifted.
a.
Full of, or ready with, shifts; fertile in expedients or contrivance.
v. t.
The act of shifting.
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.
a.
Changing in place, position, or direction; varying; variable; fickle; as, shifting winds; shifting opinions or principles.
n.
An arrangement for shifting a belt sidewise from one pulley to another.
p. pr. & vb. n.
of Shift
n.
One who, or that which, shifts; one who plays tricks or practices artifice; a cozener.
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.
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.
v. t.
To change the position of; to alter the bearings of; to turn; as, to shift the helm or sails.
n.
An assistant to the ship's cook in washing, steeping, and shifting the salt provisions.
a.
Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.
n.
The quality or state of being shifty.