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Characteristic time in a system
In physics and engineering, the time constant, usually denoted by the Greek letter τ (tau), is the parameter characterizing the response to a step input
Time_constant
Time constant of an RC circuit
The RC time constant, denoted τ (lowercase tau), the time constant of a resistor–capacitor circuit (RC circuit), is equal to the product of the circuit
RC_time_constant
Decrease in value at a rate proportional to the current value
positive rate called the exponential decay constant, disintegration constant, rate constant, or transformation constant: d N ( t ) d t = − λ N ( t ) . {\displaystyle
Exponential_decay
The open-circuit time constant (OCT) method is an approximate analysis technique used in electronic circuit design to determine the corner frequency of
Open-circuit time constant method
Open-circuit_time_constant_method
generalized version of zero-value time-constants (ZVT), which in turn is the generalization of the open-circuit time constant method (OCT). While the other
General time- and transfer constant analysis
General_time-_and_transfer_constant_analysis
Universal and unchanging physical quantity
A physical constant, sometimes called a fundamental physical constant or universal constant, is a physical quantity that cannot be explained by a theory
Physical_constant
Hypothetical conflict with the laws of physics as currently known
term physical constant expresses the notion of a physical quantity subject to experimental measurement which is independent of the time or location of
Time-variation of fundamental constants
Time-variation_of_fundamental_constants
Physical constant in quantum mechanics
The Planck constant, or Planck's constant, denoted by h {\displaystyle h} , is a fundamental physical constant of foundational importance in quantum mechanics:
Planck_constant
Control loop feedback mechanism
used in industrial control systems and various other applications where constant control through modulation is necessary without human intervention. The
PID_controller
Type of signal filter
little attenuation below the cutoff frequency determined by its RC time constant. For current signals, a similar circuit, using a resistor and capacitor
Low-pass_filter
5th episode of the 4th season of Lost
"The Constant" is the fifth episode of the fourth season of the American Broadcasting Company's (ABC) serial drama television series Lost, and the 77th
The_Constant
Physical constant equivalent to the Boltzmann constant, but in different units
The molar gas constant (also known as the gas constant, universal gas constant, or ideal gas constant) is denoted by the symbol R or R. It is the molar
Gas_constant
Emissions from unstable atomic nuclei
decay constant λ has units of t−1, and can thus also be represented as 1/τ, where τ is a characteristic time of the process called the time constant. In
Radioactive_decay
Mathematical model of a dendrite
namely the length constant (sometimes referred to as the space constant) denoted λ {\displaystyle \lambda } and the time constant denoted τ {\displaystyle
Cable_theory
Cryptographic attack
unintentionally with compiler optimizations. Countermeasures include blinding and constant-time functions. Many cryptographic algorithms can be implemented (or masked
Timing_attack
Physical constant for the strength of gravity induced by a mass
The gravitational constant is an empirical physical constant that gives the strength of the gravitational field induced by a mass. It is involved in the
Gravitational_constant
Value that is not changed during execution
valued) constants, immutable objects, and constant types (const). Typical examples of compile-time constants include mathematical constants, values from
Constant (computer programming)
Constant_(computer_programming)
fundamental time constant within which a control solution must be computed for controllability and stability. This time constant, known as Ross' time constant, is
Ross'_π_lemma
Physical constant relating particle kinetic energy with temperature
The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative thermal energy of particles in a gas with the thermodynamic
Boltzmann_constant
Type of electronic circuit or optical filter
{sRC}{1+sRC}}.} The product of the resistance and capacitance (R×C) is the time constant (τ); it is inversely proportional to the cutoff frequency fc, that is
High-pass_filter
Electric circuit composed of resistors and capacitors
capacitor voltage at time t = 0, and e is Euler's number. The time required for the voltage to fall to V0/e is called the RC time constant and is given by
RC_circuit
Time behavior of a system controlled by Heaviside step functions
be sufficiently well modeled in terms of a single dominant pole of time constant τ; that is, as an open-loop gain given by: A O L = A 0 1 + j ω τ , {\displaystyle
Step_response
Time taken by a signal to change to a high value
rise time is proportional to the network time constant τ = RC: t r ≅ 2.197 τ {\displaystyle t_{r}\cong 2.197\tau } The proportionality constant can be
Rise_time
Observation in physical cosmology
cosmic time coordinate. Though the Hubble constant H0 is constant at any given moment in time, the Hubble parameter H, of which the Hubble constant is the
Hubble's_law
In neuroscience, aspect of a cell membrane
duration of chronaxie, which is a strength-duration time constant that corresponds to the duration of time that elicits a response when the nerve is stimulated
Rheobase
2.71828...; base of natural logarithms
with Euler's constant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after John Napier
E_(mathematical_constant)
Difference between logarithm and harmonic series
{\displaystyle \log _{e}(x)} . Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase
Euler's_constant
Instrument for displaying time-varying signals
The RC time constants are adjusted to match. For example, the 9 megohm series resistor is shunted by a 12.2 pF capacitor for a time constant of 110 microseconds
Oscilloscope
Generates a forecast of future values of a time series
T} is the sampling time interval of the discrete time implementation. If the sampling time is fast compared to the time constant ( Δ T ≪ τ {\displaystyle
Exponential_smoothing
properties, the level of bias applied during recording, and the optimal time constant of replay equalization. Specifications of each type were set in 1979
Compact Cassette tape types and formulations
Compact_Cassette_tape_types_and_formulations
Type of compiler optimization
Constant folding are related compiler optimizations used by many modern compilers that evaluate expressions whose values are known at compile time and
Constant_folding
Continuous progression from past to future
time, in connection with the behavior of electricity and magnetism. The 1860s Maxwell's equations described that light always travels at a constant speed
Time
Device for measuring alternating current
time constant much less than the lowest frequency of interest. The lossy integrator will reduce the effects of offset voltages and set the constant of
Rogowski_coil
Method for algorithm analysis in computer science
constant time. However the dequeue operation is more complicated. If the output array already has some elements in it, then dequeue runs in constant time;
Amortized_analysis
Class of artificial neural network
(y_{j}-\Theta _{j})+I_{i}(t)} Where: τ i {\displaystyle \tau _{i}} : Time constant of postsynaptic node y i {\displaystyle y_{i}} : Activation of postsynaptic
Recurrent_neural_network
Nineteenth letter in the Greek alphabet
sciences, tau is sometimes used as time variable, to avoid confusing t as temperature Time constant (also relaxation time) of any system, such as an RC circuit
Tau
2011 edition of the C++ programming language standard
concept of constant expressions. These are expressions such as 3 + 4 that will always yield the same results, at compile time and at runtime. Constant expressions
C++11
Resistive and inductive circuit
decay constant (in radians per second), and ω is the angular frequency (in radians per second). The complex-valued eigenfunctions of any linear time-invariant
RL_circuit
Chart indicator of moving average convergence/divergence
series itself. The MACD indicator thus depends on three time parameters, namely the time constants of the three EMAs. The notation "MACD(a,b,c)" usually
MACD
Dimensionless number that quantifies the strength of the electromagnetic interaction
fine-structure constant, also known as the Sommerfeld constant, commonly denoted by α (the Greek letter alpha), is a fundamental physical constant that quantifies
Fine-structure_constant
Dutch painter
Constant Anton Nieuwenhuys (21 July 1920 – 1 August 2005), better known as Constant, was a Dutch painter, sculptor, graphic artist, author and musician
Constant_Nieuwenhuys
Time required for the output of an amplifier to stabilize
02)}{\zeta \omega _{n}}}\approx {\frac {3.9}{\zeta \omega _{n}}}} Rise time Time constant Modern Control Engineering (5th Edition), Katsuhiko Ogata, p. 160
Settling_time
Oscillator that produces a nonsinusoidal repetitive waveform
then discharges it again. The period of the oscillator depends on the time constant of the capacitor or inductor circuit. The active device switches abruptly
Relaxation_oscillator
pole due to the added input resistance Ri and capacitance Ci, with the time constant Ci ( RA || Ri ). This pole is lowered in frequency by the Miller effect
Pole_splitting
Electronic circuit to automatically adjust signal strength
to the grids of earlier RF amplifier stages. He selected a control time constant of about 1/40 second, allowing the circuit to follow signal fading while
Automatic_gain_control
Physical phenomenon
time, a time constant known as T 1 {\displaystyle T_{1}} . There is a different parameter, T 2 {\displaystyle T_{2}} , the spin–spin relaxation time,
Spin–lattice_relaxation
Response of spin to electromagnetic radiation
echo at time 2t. In simple cases, the intensity of the echo relative to the initial signal is given by e–2t/T2 where T2 is the time constant for spin–spin
Spin_echo
American folk song
"Man of Constant Sorrow" (also known as "I Am a Man of Constant Sorrow") is a traditional American folk song first published by Dick Burnett, a partially
Man_of_Constant_Sorrow
Model of viscoelastic material
a constant rate: ε ( t ) = σ 0 E + t σ 0 η {\displaystyle \varepsilon (t)={\frac {\sigma _{0}}{E}}+t{\frac {\sigma _{0}}{\eta }}} If at some time t1
Maxwell_model
Swiss luxury watch manufacturer
Frédérique Constant SA is a Swiss manufacture of luxury wristwatches based in Plan-les-Ouates, Geneva. Originally established in 1988 by Dutch married
Frédérique_Constant
Method to control electric motors
inductance Lm and low-pass filtering the result with the rotor no-load time constant Lr/Rr, namely, the rotor inductance to rotor resistance ratio. Current
Field-oriented_control
Influence on an oscillating physical system which reduces or prevents its oscillation
the number of cycles per time unit. It is expressed in inverse time units t − 1 {\displaystyle t^{-1}} , or hertz. Time constant: τ = 1 / λ {\displaystyle
Damping
This is a list of common physical constants and variables, and their notations. Note that bold text indicates that the quantity is a vector. List of letters
List of common physics notations
List_of_common_physics_notations
Fixed number that has received a name
A mathematical constant is a number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter)
Mathematical_constant
Constant describing the distance a membrane potential passively travels along a neuron
In neurobiology, the length constant (λ) is a mathematical constant used to quantify the distance that a graded electric potential will travel along a
Length_constant
Magnetic phenomenon
time, known as T2, a time constant characterizing the signal decay. It is named in contrast to T1, the spin–lattice relaxation time. It is the time it
Spin–spin_relaxation
Physical law relating heat loss to temperature difference
m} (kg). The time constant is then τ = m c / ( h A ) {\displaystyle \tau =mc/(hA)} . When the environmental temperature is constant in time, we may define
Newton's_law_of_cooling
Inertial navigation design principle
oscillates harmonically with Schuler's time constant. It can also be proved that the time is the same constant for a tunnel that is not through the center
Schuler_tuning
Time for a signal or other quantity to reach its destination
propagation delay. All of these factors influence each other through an RC time constant: any increase in load capacitance increases C, heat-induced resistance
Propagation_delay
In probability theory, Kemeny’s constant is the expected number of time steps required for a Markov chain to transition from a starting state i to a random
Kemeny's_constant
Electronic circuit
ranges, the capacitor only needs to charge up to the peak value. The RC time constant is chosen to prevent a too rapid or a too slow discharge. The output
Envelope_detector
general time- and transfer constant (TTC) analysis to determine the numerator terms and the zeros in the transfer function. The transfer constants are calculated
Transfer_constant
Average commuting time
Marchetti's constant is the average time spent by a person for commuting each day. Its value is approximately one hour, or half an hour for a one-way trip
Marchetti's_constant
Direct current that does not change intensity with time
A constant current (steady current, time-independent current, stationary current) is a type of direct current (DC) that does not change its intensity with
Constant_current
Phrase used in philosophy as a variant or near synonym for causality and induction
duration of time, we become convinced that A causes B. However, this position raises problems, as it seems that certain kinds of constant conjunction
Constant_conjunction
Decay of nuclear spin polarization in MRI and NMR
the width or broadness of resonances. Stated more formally, T1 is the time constant for the physical processes responsible for the relaxation of the components
Relaxation_(NMR)
Delayed temperature response
spatial-temporal behavior of a system during transient heat transfers. A time constant is then sometimes appropriately used as a simple parametrization for
Thermal_inertia
Electronic circuit that fixes voltage
provides a DC offset from the stored charge. The capacitor forms a time constant with a resistor load, which determines the range of frequencies over
Clamper_(electronics)
Representation of a signal as a rectangular wave with varying duty cycle
mechanism varies the duty cycle according to the knob setting. The thermal time constant of the heating elements is several minutes, so that the temperature
Pulse-width_modulation
Return of a perturbed system into equilibrium
V(t)=V_{0}e^{-{\frac {t}{RC}}}\ ,} The constant τ = R C {\displaystyle \tau =RC\ } is called the relaxation time or RC time constant of the circuit. A nonlinear
Relaxation_(physics)
Relaxation model
dielectric constants, ω {\displaystyle \omega } is the angular frequency and τ {\displaystyle \tau } is a dielectric relaxation time constant. The exponent
Cole–Cole_equation
Topics referred to by the same term
math and sciences where variables are time-constant Steady flow, a condition of flow that does not change with time Steady B (1969–present; stage name)
Steady
Method used in chemical kinetics
reciprocal of the time constant equals the sum of the two rate constants 1 / τ = k a + k b {\displaystyle 1/\tau =k_{a}+k_{b}} The two rate constants can be determined
Temperature_jump
Device for acoustic measurements
circuit and thus it must have a time constant of integration; today referred to as the time-weighting. Three of these time-weightings have been internationally
Sound_level_meter
Mechanism recovering classical behavior from a quantum system
transform, so the time constant T2 is a main contributor to the bandwidth. The time constant T2 has been measured with ultrafast time-resolved spectroscopy
Dephasing
Physical phenomenon
quantity, (φRL= τconv/τrxn), which relates the time constant of solid particle heat transfer to the time constant of particle reaction, with the reactive Leidenfrost
Leidenfrost_effect
High-capacity electrochemical capacitor
time constant τ {\displaystyle \tau } τ = R i ⋅ C {\displaystyle \tau =R_{\text{i}}\cdot C} This time constant determines the charge/discharge time.
Supercapacitor
Low frequency audio feedback
the power supply voltage sagging as oscillations build up (the long time constant coming from the power supply reservoir capacitor) in such a way that
Motorboating_(electronics)
Chemical property
Stability constants, formation constants, binding constants, association constants and dissociation constants are all types of equilibrium constants. For a
Equilibrium_constant
Primary time standard globally used to regulate clocks and time
UTC time scale, the second and all smaller time units (millisecond, microsecond, etc.) are of constant duration, but the minute and all larger time units
Coordinated_Universal_Time
Estimate of time taken for running an algorithm
a constant factor. Since an algorithm's running time may vary among different inputs of the same size, one commonly considers the worst-case time complexity
Time_complexity
an orienting force (such as flow, applied electric field, etc.). The time constant for relaxation of the axial direction vector is τ a x = ( 1 k B T )
Perrin_friction_factors
Mathematical simplification technique in physical sciences
example, if a system has an intrinsic resonance frequency, length, or time constant, nondimensionalization can recover these values. The technique is especially
Nondimensionalization
Units defined only by physical constants
exclusively in terms of four universal physical constants: c, G, ħ, and kB. Expressing one of these physical constants in terms of Planck units yields a numerical
Planck_units
Theoretical means of transportation
the distances and speeds are scaled by the constant cos θ {\displaystyle \cos \theta } . The time constant ω {\displaystyle \omega } depends only on
Gravity_train
Number of particle in a given volume of an ideal gas
The Loschmidt constant or Loschmidt's number (symbol: n0) is the number of particles (atoms or molecules) of an ideal gas per volume (the number density)
Loschmidt_constant
Term in fluid dynamics
time constant of tracers becomes very small. In this way, tracer particles exactly follow the same path as the fluid does. Hydraulic residence time (HRT)
Residence_time
Seasonal change of clock settings
year. The time of day that individuals begin and end work or school, and the coordination of mass transit, for example, usually remain constant year-round
Daylight_saving_time
Process in neuroscience
Their membrane time constants, stays short, so it does not let signals linger. Integrators are the opposite, with a long time constant. They accumulate
Summation_(neurophysiology)
Mathematical descriptions of the properties of certain cells in the nervous system
is the membrane time constant, wk is the adaptation current number, with index k, τ k {\displaystyle \tau _{k}} is the time constant of adaptation current
Biological_neuron_model
Form of synaptic inhibition mediated by increased membrane conductance
membrane conductance, which can decrease input resistance and the membrane time constant, causing coincident excitatory currents to be “shunted” but not necessarily
Shunting_inhibition
Device for measuring incident electromagnetic radiation
the absorbed power, the higher the temperature. The intrinsic thermal time constant, which sets the speed of the detector, is equal to the ratio of the
Bolometer
Field of mathematical control theory
time constants," the upshot of which is that there is no particular time constant, or resonance frequency for the system. In fact, the fractional integral
Fractional-order_control
Recurringly observed geometric pattern
A form constant is one of several geometric patterns which are recurringly observed during hypnagogia, hallucinations and altered states of consciousness
Form_constant
Device for electrical connection
The RC time constants are adjusted to match. For example, the 9 megohm series resistor is shunted by a 12.2 pF capacitor for a time constant of 110 microseconds
Test_probe
Resonance signal
relaxation-limited and the FID is approximately exponential (with the time constant T2 changed, indicated by T2*).[citation needed] FID durations will then
Free_induction_decay
allows specifically to estimate the order n of the studied system, its time constant and its delay. To use the Strejc method, it is necessary to apply a
Strejc_method
Electronic circuit
resistance plus a resistor in the emitter, FET channel resistance), the Lp/R time constant causes the magnetizing current to be a rising curve with continually
Blocking_oscillator
Equilibrium points near two orbiting bodies
Sun–Earth L1 and L2 are saddle points and exponentially unstable with time constant of roughly 23 days. Satellites at these points will wander off in a
Lagrange_point
C/C++ specifier referring to constant expression
portmanteau of constant expression, first introduced in C++11. Prior to the introduction of constexpr, options for specifying compile-time constants and functions
Constexpr
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