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Measurement scale based on orders of magnitude
(arithmetic mean in logscale) John Napier Level (logarithmic quantity) Log–log plot Logarithm Logarithmic mean Log semiring Preferred number Semi-log
Logarithmic_scale
engineering, a power level and a field level (also called a root-power level) are logarithmic magnitudes of certain quantities referenced to a standard
Level_(logarithmic_quantity)
Measurable property of a material or system
elementary functions (circular trigonometric, hyperbolic, logarithmic etc.), changes in a quantity like Δ in Δy or operators like d in dx, are also recommended
Physical_quantity
Terminology in physics
[citation needed] Level (logarithmic quantity) Fresnel reflection field and power equations Sound level, defined for each of several quantities associated with
Power, root-power, and field quantities
Power,_root-power,_and_field_quantities
Topics referred to by the same term
sound relative to a reference value Audio equalization Level (logarithmic quantity) Line level Loudness Volume (disambiguation) This disambiguation page
Sound_level
Topics referred to by the same term
Power level may refer to: Level (logarithmic quantity), logarithm of the ratio of the value of some quantity to a reference value of the same quantity. Sound
Power_level
Topics referred to by the same term
{\displaystyle -1} in a field Level (logarithmic quantity), a logarithmic measure defined as the logarithm of a ratio of two like quantities Level, the different values
Level
Psychophysics of varying the intensity of a stimulus
manifestation of the Weber–Fechner law. Psychology portal Human nature Level (logarithmic quantity) Nervous system Neural coding Ricco's law Stevens's power law
Weber–Fechner_law
Power carried by sound waves
inverse-square law. Sound intensity level (SIL) or acoustic intensity level is the level (a logarithmic quantity) of the intensity of a sound relative
Sound_intensity
Mathematical function, inverse of an exponential function
introduced the letter e as the base of natural logarithms. Logarithmic scales reduce wide-ranging quantities to smaller scopes. For example, the decibel (dB) is
Logarithm
Type of AI with wide-ranging abilities
emulate it. For low-level brain simulation, a very powerful cluster of computers or GPUs would be required, given the enormous quantity of synapses within
Artificial general intelligence
Artificial_general_intelligence
System of quantities used in science and their interrelationships
decade, corresponding to a factor 10. The ISQ recognizes another logarithmic quantity, information entropy, for which the coherent unit is the natural
International System of Quantities
International_System_of_Quantities
Logarithmic unit for ratios of measurements of physical field and power quantities
The neper (symbol: Np) is a logarithmic unit for ratios of measurements of physical field and power quantities, such as gain and loss of electronic signals
Neper
Logarithmic unit expressing the ratio of physical quantities
ratio of two values of a power or root-power quantity on a logarithmic scale. Two signals whose levels differ by one decibel have a power ratio of 101/10
Decibel
Type of computer arithmetic
Floating point (FP) Tapered floating point (TFP) Logarithmic number system (LNS) Level (logarithmic quantity) Clenshaw, Charles William; Olver, Frank William
Symmetric level-index arithmetic
Symmetric_level-index_arithmetic
Scale to enable communication of safety information in nuclear accidents
to be logarithmic, similar to the moment magnitude scale that is used to describe the comparative magnitude of earthquakes. Each increasing level represents
International Nuclear and Radiological Event Scale
International_Nuclear_and_Radiological_Event_Scale
2007), p. 240. Thompson, A. and Taylor, B. N. sec 8.7, "Logarithmic quantities and units: level, neper, bel", Guide for the Use of the International System
Sound_exposure
10−12 pascals). It is a logarithmic measure of the ratio of two sound energy densities. A unit of the sound energy density level is the decibel (dB), a
Sound_energy_density
Subset of real numbers that are greater than zero
for describing stellar magnitudes and noise levels in decibels, among other applications of the logarithmic scale. For purposes of international standards
Positive_real_numbers
Property determining comparison and ordering
earthquake intensity. Logarithmic magnitudes can be negative. In the natural sciences, a logarithmic magnitude is typically referred to as a level. Orders of magnitude
Magnitude_(mathematics)
International standard on physical quantities and units of measurement
corresponding levels: sound pressure level, sound power level, and sound exposure level. It includes definitions of the following quantities: logarithmic frequency
ISO/IEC_80000
Scale of numbers with a fixed ratio
obtained. Differences in order of magnitude can be measured on a base-10 logarithmic scale in "decades" (i.e., factors of ten). For example, there is one
Order_of_magnitude
Velocity of a particle in a medium as it transmits a wave
2007), p. 240. Thompson, A. and Taylor, B. N. sec 8.7, "Logarithmic quantities and units: level, neper, bel", Guide for the Use of the International System
Particle_velocity
Rate at which sound energy is reflected or transmitted per unit time
2007), p. 240. Thompson, A. and Taylor, B. N. sec 8.7, "Logarithmic quantities and units: level, neper, bel", Guide for the Use of the International System
Sound_power
Local pressure deviation caused by a sound wave
2007), p. 240. Thompson, A. and Taylor, B. N. Sec. 8.7: "Logarithmic quantities and units: level, neper, bel", Guide for the Use of the International System
Sound_pressure
Measure of a civilization's evolution
based on Kardashev's types, but integrating intermediate levels using the following logarithmic interpolation formula: K = log 10 W − 6 10 {\displaystyle
Kardashev_scale
Measure of the level of acidity or basicity of an aqueous solution
In chemistry, pH (/piːˈheɪtʃ/ or /piːˈeɪtʃ/; pee-AYCH) is a logarithmic scale used to specify the acidity or basicity of aqueous solutions. Acidic solutions
PH
Power level referenced to one milliwatt
dBm or dBmW (decibel-milliwatts) is a unit of power level expressed using a logarithmic decibel (dB) scale respective to one milliwatt (mW). It is commonly
DBm
Widely used standard for video compression
encoding or as individual single fields. A quantization design including: Logarithmic step size control for easier bit rate management by encoders and simplified
Advanced_Video_Coding
Austrian mathematician and theoretical physicist (1844–1906)
parameters that fluctuate around an average. It connects thermodynamic quantities (such as heat capacity) to microscopic behavior, whereas, in classical
Ludwig_Boltzmann
Distinction between nominal, ordinal, interval and ratio variables
reliability Logarithmic scale Ramsey–Lewis method Set theory Statistical data type Transition (linguistics) Kirch, Wilhelm, ed. (2008). "Level of Measurement"
Level_of_measurement
Modern form of the metric system
can accommodate coherent units for an unlimited number of additional quantities. These are called coherent derived units, which can always be represented
International_System_of_Units
Degree of variation of a trading price series over time
price series over time, usually measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices
Volatility_(finance)
Measure of the strength of earthquakes
refers to these as "Richter" magnitudes. All magnitude scales retain the logarithmic character of the original and are scaled to have roughly comparable numeric
Richter_scale
Unit of measurement for amplitude levels in digital systems
level is 3 dB (the logarithmic measure of (FS√2) below the peak level ... A 94 dB SPL sinusoidal input signal will give a –26 dBFS peak output level,
DBFS
Metric used to measure signal quality
signals have a very wide dynamic range, PSNR is usually expressed as a logarithmic quantity using the decibel scale. PSNR is commonly used to quantify reconstruction
Peak_signal-to-noise_ratio
Metrics of the bibliometric impact of individual authors
(22 September 2015). "A citation-based, author- and age-normalized, logarithmic index for evaluation of individual researchers independently of publication
Author-level_metrics
Probability distribution
{\displaystyle X} itself. This relationship is true regardless of the base of the logarithmic or exponential function: If log a X {\displaystyle \log _{a}X} is normally
Log-normal_distribution
Ratio between the largest and smallest values that a certain quantity can assume
ratio or as a base-10 (decibel) or base-2 (doublings, bits or stops) logarithmic value of the ratio between the largest and smallest signal values. Electronically
Dynamic_range
Unit for measuring ratios on a logarithmic scale
One decade (symbol dec) is a unit for measuring ratios on a logarithmic scale, with one decade corresponding to a ratio of 10 between two numbers. When
Decade_(log_scale)
Numbers significantly larger than those used regularly
vary dramatically can be represented and compared graphically via a logarithmic scale. A natural language numbering system represents large numbers using
Large_numbers
Ratio of the desired signal to the background noise
defined. The most common way to express SNR is in decibels, which is a logarithmic scale that makes it easier to compare large or small values. Other definitions
Signal-to-noise_ratio
Number, approximately 1.618
mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically
Golden_ratio
SI derived unit of pressure
experience of sound pressure and is measured as a sound pressure level (SPL) on a logarithmic scale of the sound pressure relative to some reference pressure
Pascal_(unit)
Persistence of sound after it is produced
similar in form to Sabine's equation, but includes modifications to logarithmically scale the absorption term. The units and variables within the equation
Reverberation
Type of market maker
early description of a CFMM was published by economist Robin Hanson in "Logarithmic Market Scoring Rules for Modular Combinatorial Information Aggregation"
Constant function market maker
Constant_function_market_maker
Property of a thermodynamic system
to the macroscopically observable behaviour, in the form of a simple logarithmic law, with a proportionality constant, the Boltzmann constant, which has
Entropy
Change in energies of a thermodynamic system with respect to particle number
{\displaystyle \mu _{i}} from a chosen logarithmic ideal such as the above. In the case of solutes, the dilute logarithmic ideal may be written instead in terms
Chemical_potential
Ability of a circuit to increase the power or amplitude of a signal
dimensionless quantity, as it is the ratio of like units (decibels are not used as units, but rather as a method of indicating a logarithmic relationship)
Gain_(electronics)
Continuous progression from past to future
Time dictates all forms of action, age, and causality, being a component quantity of various measurements used to sequence events, to compare the duration
Time
Computer approximation for real numbers
arithmetic, but decimal fixed point is common in commercial applications. Logarithmic number systems (LNSs) represent a real number by the logarithm of its
Floating-point_arithmetic
Specific figure of merit in electronics
graphically by plotting the output power versus the input power both on logarithmic scales (e.g., decibels). Two curves are drawn; one for the linearly amplified
Third-order_intercept_point
Theorem that tells the maximum rate at which information can be transmitted
interference at the receiver (expressed as a linear power ratio, not as logarithmic decibels). During the late 1920s, Harry Nyquist and Ralph Hartley developed
Shannon–Hartley_theorem
Irrational algebraic number
magnitude. A level difference of 10 dB (1 bel) corresponds to a power ratio of 10, one order of magnitude, or an amplitude (field quantity) ratio of the
Square_root_of_10
Audible vibration that travels via pressure waves in matter
amplitudes, sound pressure is often measured as a level on a logarithmic decibel scale. The sound pressure level (SPL) or Lp is defined as L p = 10 log 10
Sound
Laboratory technique
expanding, a graph that compares the initial quantities or concentrations of the antigen on a logarithmic scale with the diameters or areas of the circles
Radial_immunodiffusion
Observation that in many real-life datasets, the leading digit is likely to be small
following distribution: The quantity P ( d ) {\displaystyle P(d)} is proportional to the space between d and d + 1 on a logarithmic scale. Therefore, this
Benford's_law
Measurement of radiant electromagnetic power emitted by an object
magnitude (Mbol) of an object is a logarithmic measure of its total energy emission rate, while absolute magnitude is a logarithmic measure of the luminosity within
Luminosity
Scientific study of digital information
channel statistics are determined by the joint distribution. The choice of logarithmic base in the following formulae determines the unit of information entropy
Information_theory
Graph that misrepresents data
negative due to how logarithmic scales represent numbers smaller than one. Misuse of log scales may also cause relationships between quantities to appear linear
Misleading_graph
Probability distribution
functions. See the section § Moments of logarithmically transformed random variables. The variance of the logarithmic variables and covariance of ln X and
Beta_distribution
Estimation problem in physics or engineering
logarithms; thus one obtains a sort of Wiener process or random walk on the logarithmic scale, which diffuses as n {\displaystyle {\sqrt {n}}} (in number of
Fermi_problem
Photometric measure
surface brightness, the term used in astronomy. This is measured with a logarithmic scale, magnitudes per square arcsecond (MPSAS). Relative luminance Orders
Luminance
Unit of information
Hart), also called a ban, or a dit (short for "decimal digit"), is a logarithmic unit that measures information or entropy, based on base 10 logarithms
Hartley_(unit)
Amount of light captured by a camera
conventionally expressed as log10(H). Photographers more familiar with base-2 logarithmic scales (such as exposure values) can convert using log2(H) ≈ 3.32 log10(H)
Exposure_(photography)
Amount a stimulus must be changed to be detected
semitones play a part in communicative situations". Note that, given the logarithmic characteristics of Hz, for both music and speech perception results should
Just-noticeable_difference
Influence on an oscillating physical system which reduces or prevents its oscillation
For underdamped vibrations, the damping ratio is also related to the logarithmic decrement δ {\displaystyle \delta } . The damping ratio can be found
Damping
Measure of a photographic film's sensitivity to light
and also included arithmetic speed numbers in addition to logarithmic numbers. The logarithmic speed number proposed in the later BS 1380:1957 standard
Film_speed
Number taken as representative of a list of numbers
measures such as other types of mean, the median, or the mode. A mean is a quantity representing the "center" of a collection of numbers and is intermediate
Average
Values which describe behavior of a linear electric circuit
gain. This is a real-value (or scalar) quantity, the phase information being dropped. The scalar logarithmic (decibel or dB) expression for gain (g)
Scattering_parameters
Heat required to raise the temperature of a given unit of mass of a substance
theorem. More generally, the dimensionless heat capacity relates the logarithmic increase in temperature to the increase in the dimensionless entropy
Specific_heat_capacity
Value for unrepresentable data
floating-point standard in 1985, along with the representation of other non-finite quantities such as infinities. In mathematics, the result of 0 0 {\displaystyle {\frac
NaN
Total value of money available in an economy at a specific point in time
between non-banks, commercial banks and central banks. According to the quantity theory supported by the monetarist school of thought, there is a tight
Money_supply
Distribution of an uncertain quantity
called the prior probability, prior distribution, or prior) of an uncertain quantity is its assumed probability distribution before evidence is taken into account
Prior_probability
is the logarithmic one-loop correction to the FI term. In supersymmetric and nonsupersymmetric theories, the nonrenormalization of a quantity subject
Supersymmetry nonrenormalization theorems
Supersymmetry_nonrenormalization_theorems
Measure of illuminance for a combination of a camera's shutter speed and f-number
ways. The ASA and ANSI standards used the quantity symbol Ev, with the subscript v indicating the logarithmic value; this symbol continues to be used in
Exposure_value
Brightness of a celestial object observed from the Earth
this historical system by Norman Pogson in 1856. The scale is reverse logarithmic: the brighter an object is, the lower its magnitude number. A difference
Apparent_magnitude
Mathematical statistics distance measure
argument of the logarithmic term is and remains dimensionless, as it must. It can therefore be seen as in some ways a more fundamental quantity than some other
Kullback–Leibler_divergence
Hypothetical event
magnitude to biological information in the biosphere. Since the 1980s, the quantity of digital information stored has doubled about every 2.5 years, reaching
Technological_singularity
Statistical technique
and assigns a quantity called the spectral significance (frequently abbreviated by “sig”) to each amplitude. This quantity is a logarithmic measure of the
SigSpec
Basic concepts of algebra
introductory college level in the United States, and builds on their understanding of arithmetic. The use of variables to denote quantities allows general relationships
Elementary_algebra
1979 nuclear accident in Pennsylvania
months later. On the seven-point logarithmic International Nuclear Event Scale, the TMI-2 reactor accident is rated Level 5, an "Accident with Wider Consequences"
Three_Mile_Island_accident
Problem in demographic economics
child makes it irrational to have a large numbers of children—this is a "quantity vs. quality trade-off"—with education as the most important such qualitative
Sub-replacement_fertility
Transforming data by taking the logarithm
In statistics, the log transformation is the application of the logarithmic function to each point in a data set—that is, each data point zi is replaced
Log transformation (statistics)
Log_transformation_(statistics)
Replacing a number with a simpler value
reporting of a computed number, measurement, or estimate; for example, a quantity that was computed as 123456 but is known to be accurate only to within
Rounding
Number of states of a cybernetic system
finite-state machine or transformation, or the binary logarithm of the same quantity. Variety is used in cybernetics as an information theory that is easily
Variety_(cybernetics)
Graphical technique for data sets
Drain Plot. Biplot Bland–Altman plot Box plot Carpet plot Contour plot Logarithmic plot Parallel Category Plot Funnel plot : This is a useful graph designed
Plot_(graphics)
Measure of an acid's strength in solution
{\displaystyle K_{\text{a}}=\mathrm {\frac {[A^{-}][H^{+}]}{[HA]}} ,} or by its logarithmic form p K a = − log 10 K a = − log 10 [ A − ] [ H + ] [ HA ] = log
Acid_dissociation_constant
N-th root of the product of n numbers
When the collection of numbers and their geometric mean are plotted in logarithmic scale, the geometric mean is transformed into an arithmetic mean, so
Geometric_mean
Concept in economics and decision theory
resolved if decision-makers displayed risk aversion and argued for a logarithmic cardinal utility function. (Analysis of international survey data during
Utility
Theorem in portfolio theory
absolute risk aversion (HARA) (including the power utility function, logarithmic function and the exponential utility function), separation theorems can
Mutual fund separation theorem
Mutual_fund_separation_theorem
Equation used to estimate pH of a weak acid or base solution
terminology, which allowed Hasselbalch to re-express Henderson's equation in logarithmic terms, resulting in the Henderson–Hasselbalch equation. A simple buffer
Henderson–Hasselbalch equation
Henderson–Hasselbalch_equation
Quantum
a central quantity in quantum metrology and is the quantum analogue of the classical Fisher information. It is one of the central quantities used to qualify
Quantum_Fisher_information
Performing order of mathematical operations
implied multiplication is recognized by the AOS and the square root, logarithmic, and trigonometric functions can be followed by their arguments as when
Order_of_operations
Total market value of goods and services produced within a country
expectancy at birth, adult literacy rate and standard of living measured as a logarithmic function of GDP, adjusted to purchasing power parity. In 2009 Professors
Gross_domestic_product
German-born theoretical physicist (1879–1955)
second. The physicist Lev Landau ranked physicists from 0 to 5 on a logarithmic scale of productivity and genius, with Newton receiving the highest ranking
Albert_Einstein
Mathematical relation consisting of a multi-variable function equal to zero
curve Functional equation Level set Contour line Isosurface Marginal rate of substitution Implicit function theorem Logarithmic differentiation Polygonizer
Implicit_function
Chemical element with atomic number 101 (Md)
element by atomic number that currently cannot be produced in macroscopic quantities by neutron bombardment of lighter elements. It is the thirteenth actinide
Mendelevium
Unit of digital information, usually 8 bits
character B. In the International System of Quantities (ISQ), B is also the symbol of the bel, a unit of logarithmic power ratio named after Alexander Graham
Byte
Inverse functions of sin, cos, tan, etc.
and negative values of x. These can be further simplified using the logarithmic definitions of the inverse hyperbolic functions: ∫ arcsec ( x ) d x
Inverse trigonometric functions
Inverse_trigonometric_functions
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LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
LEVEL LOGARITHMIC-QUANTITY
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