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Condition when the angle of deviation is minimal in a prism
prism is minimum is called the minimum deviation position of the prism and that very deviation angle is known as the minimum angle of deviation (denoted
Minimum_deviation
Atmospheric optical phenomenon
{\pi }{3}}.} For n {\displaystyle n} = 1.309, the angle of minimum deviation is almost 22° (21.76°, when θ incidence {\displaystyle \theta _{\text{incidence}}}
22°_halo
Optical phenomenon of the sky
to the deviation angles of the primary and secondary rainbows. Both bows exist due to an optical effect called the angle of minimum deviation. The refractive
Alexander's_band
Measure of variation in statistics
standard deviation is a measure of the amount of variation of the values of a variable about its (arithmetic) average. A low standard deviation indicates
Standard_deviation
Statistical measure
The root mean square deviation (RMSD) or root mean square error (RMSE) is a frequently used measure of the distances between actual observed values and
Root_mean_square_deviation
Statistical optimality criterion
point-to-point lines for minimum sum of errors Simplex-based methods are the “preferred” way to solve the least absolute deviations problem. A Simplex method
Least_absolute_deviations
Atmospheric optical phenomenon
addition, as many rays are deflected at larger angles than the angle of minimum deviation, the outer edge of the halo is more diffuse. To tell the difference
46°_halo
Data communications modulation protocol
WSJT-X and PSK Reporter software. For basic data rate Bluetooth the minimum deviation is 115 kHz. A GFSK modulator differs from a simple frequency-shift
Frequency-shift_keying
Statistical measure of variability
In statistics, the median absolute deviation (MAD), also referred to as the median absolute deviation from the median (MADFM), is a robust or outlier-resistant
Median_absolute_deviation
American psychiatrist (1911–1979)
basically neutral technical position of the therapist, and only a minimum deviation from such a position of neutrality as might be necessary." Greenson
Ralph_Greenson
Transparent optical element with flat, polished surfaces that refract light
visual field of both eyes to the same extent. Eyeglass prescription Minimum deviation Multiple-prism dispersion theory Prism (geometry) Prism compressor
Prism_(optics)
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
variation (CV), also known as normalized root-mean-square deviation (NRMSD), and relative standard deviation (RSD), is a standardized measure of dispersion of
Coefficient_of_variation
English polymath (1642–1727)
observed that the spectrum of colours exiting a prism in the position of minimum deviation is oblong, even when the light ray entering the prism is circular
Isaac_Newton
Measure of statistical dispersion
the first and third quartiles), half the IQR equals the median absolute deviation (MAD). The median is the corresponding measure of central tendency. The
Interquartile_range
Optical phenomenon arising from refraction of sunlight through ice crystals
horizon, which causes sunlight to enter and exit the crystals at the minimum deviation angle; then it is also about 22° in radius, 1.5° in width. The CZA
Circumzenithal_arc
Unbiased statistical estimator minimizing variance
the sample standard deviation is not unbiased for the population standard deviation – see unbiased estimation of standard deviation. Further, for other
Minimum-variance unbiased estimator
Minimum-variance_unbiased_estimator
Statistical property
an estimator of a parameter, like the average or mean) is the standard deviation of its sampling distribution. The standard error is often used in calculations
Standard_error
Concept in radio transmission
Frequency deviation ( f Δ {\displaystyle f_{\Delta }} ) is used in FM radio to describe the difference between the minimum or maximum extent of a frequency
Frequency_deviation
How many standard deviations apart from the mean an observed datum is
In statistics, the standard score or z-score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point)
Standard_score
Summary statistic of variability
The average absolute deviation (AAD) of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical
Average_absolute_deviation
Categorisation of people's intelligence based on IQ
standard deviation above the mean, while a score of 85 means performance one standard deviation below the mean, and so on. This "deviation IQ" method
IQ_classification
Investment portfolio which occupies the "efficient" parts of the risk-return spectrum
portfolio exists with a higher expected return but with the same standard deviation of return (i.e., the risk). The efficient frontier was first formulated
Efficient_frontier
Measure of the error of an estimator
In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures
Mean_squared_error
Bound on probability of a random variable being far from its mean
stating that a minimum of just 75% of values must lie within two standard deviations of the mean and 88.88% within three standard deviations for a broad
Chebyshev's_inequality
Law of thermodynamics for vapour pressure of a mixture
hydrogen bond. The system HCl–water has a large enough negative deviation to form a minimum in the vapor pressure curve known as a (negative) azeotrope,
Raoult's_law
Procedure to estimate standard deviation from a sample
estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical
Unbiased estimation of standard deviation
Unbiased_estimation_of_standard_deviation
Risk management technique in investing
standard deviation of the portfolio's return and R is the minimum acceptable return. If Portfolio A has an expected return of 10% and standard deviation of
Roy's_safety-first_criterion
Correction for sample variance bias
instead of n in the formula for the sample variance and sample standard deviation, where n is the number of observations in a sample. This method corrects
Bessel's_correction
List of aircraft parts allowed to be inoperative in certain flight conditions
In aviation safety, master minimum equipment list, or MMEL, is a categorized list of on-board systems, instruments and equipment that may be inoperative
Master_minimum_equipment_list
Permissible limit or limits of variation
both components. Lower deviation The difference between the minimum possible component size and the basic size. Upper deviation The difference between
Engineering_tolerance
Mathematical framework for investment risk
and return. The variance of return (or its transformation, the standard deviation) is used as a measure of risk, because it is tractable when assets are
Modern_portfolio_theory
Statistical measure of how far values spread from their average
defined as the expected value of the squared deviation from the mean of a random variable. The standard deviation is the square root of the variance. Technically
Variance
Statistical value representing the center or average of a distribution
distributions. Thus standard deviation about the mean is lower than standard deviation about any other point, and the maximum deviation about the midrange is
Central_tendency
Statistical price volatility chart
times an N-period standard deviation above the moving average (MA + Kσ), and a lower band at K times an N-period standard deviation below the moving average
Bollinger_Bands
Statistical distance measure
( x − μ ) / σ {\displaystyle z=(x-\mu )/\sigma } : how many standard deviations away P {\displaystyle P} is from the mean of D {\displaystyle D} . This
Mahalanobis_distance
Measurement in finance
consideration (originally called the minimum acceptable return MAR), and D R {\displaystyle DR} is the target semi-deviation (the square root of target semi-variance)
Sortino_ratio
Middle quantile of a data set or probability distribution
the range, the interquartile range, the mean absolute deviation, and the median absolute deviation. For practical purposes, different measures of location
Median
Statistical hypothesis test
if s was the actual standard deviation of x, while it is the sample standard deviation as the actual standard deviation is not generally known. Therefore
Student's_t-test
Formula for measuring financial risk
(a.k.a., minimum acceptable return, or MAR) and σ is standard deviation of returns. This ratio is just the Sharpe ratio, only using minimum acceptable
Sharpe_ratio
Measure of distance between atoms of superimposed proteins
In bioinformatics, the root mean square deviation of atomic positions, or simply root mean square deviation (RMSD), is the measure of the average distance
Root mean square deviation of atomic positions
Root_mean_square_deviation_of_atomic_positions
Problem in statistical estimation
{m\ln(2)}{k-1}}} and the following approximations for the mean and standard deviation: N ≈ μ ± σ = 89 ± 50 , μ = ( m − 1 ) k − 1 k − 2 , σ = ( k − 1 ) ( m −
German_tank_problem
Decision rules for interpreting control-chart data
against time. The rules are based on the mean value and the standard deviation of the samples. The above eight rules apply to a chart of a variable value
Nelson_rules
Data visualization
the whiskers can stand for several other things, such as: One standard deviation above and below the mean of the data set The 9th percentile and the 91st
Box_plot
Ratio of the desired signal to the background noise
is common, the denominator is its variance, the square of its standard deviation σN. The signal and the noise must be measured the same way, for example
Signal-to-noise_ratio
Geometric condition for workpieces and tools
least squares reference plane minimum zone reference planes local flatness deviation root-mean-square flatness deviation The two-dimensional measures above
Flatness_(manufacturing)
Greatest and least values in a statistical data sample
t-statistic of the sample maximum and minimum (subtracts sample mean and divides by the sample standard deviation), and if they are unusually large for
Sample_maximum_and_minimum
Statistical measure of the magnitude of a phenomenon
it is the first item (magnitude) in the MAGIC criteria. The standard deviation of the effect size is of critical importance, as it indicates how much
Effect_size
an+1 have deviation less than α. The deviation (if it exists) is the minimum value of α for which this is true. Not every poset has a deviation. The following
Deviation_of_a_poset
Estimation method that minimizes the mean square error
In statistics and signal processing, a minimum mean square error estimator (MMSE estimator) is an estimation method which minimizes the mean square error
Minimum mean square error estimator
Minimum_mean_square_error_estimator
(such as sample mean) by a sample-based estimate of a population standard deviation. Unlike "normalization", where only the numerator is uncertain, Studentization
Studentization
Optical device for shortening laser pulses
spectrum to be compressed. This configuration is known as the "angle of minimum deviation", and is easier to align than arbitrary angles. The refractive index
Prism_compressor
Statistics concept
residuals are two closely related and easily confused measures of the deviation of an observed value of an element of a statistical sample from its "true
Errors_and_residuals
Type of continuous-phase frequency-shift keying
differ by exactly half a carrier period. Thus, the maximum frequency deviation is δ = 0.5 fm where fm is the maximum modulating frequency. As a result
Minimum-shift_keying
Correction factor which describes the deviation of a real gas from ideal gas behavior
(Z), also known as the compression factor or the gas deviation factor, describes the deviation of a real gas from ideal gas behaviour. It is simply defined
Compressibility_factor
Clock deviation from perfect periodicity
In electronics and telecommunications, jitter is the deviation from true periodicity of a presumably periodic signal, often in relation to a reference
Jitter
Guidelines for municipal parking
generation rate, the range of generation rates, the subsequent standard deviation, and the total number of studies. This process is done by various studies
Parking_mandates
Statistical modeling method
minimizing the "lack of fit" in some other norm (as with least absolute deviations regression), or by minimizing a penalized version of the least squares
Linear_regression
Statistical measure of process capability
higher index values indicate better performance, with zero indicating high deviation. A company produces axles with nominal diameter 20 mm on a lathe. As no
Process_capability_index
Statistical property quantifying how much a collection of data is spread out
absolute deviation (MAD) Average absolute deviation (or simply called average deviation) Distance standard deviation These are frequently used (together with
Statistical_dispersion
Measure of linear correlation
between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such
Pearson correlation coefficient
Pearson_correlation_coefficient
Model selection principle
Minimum Description Length (MDL) is a model selection principle where the shortest description of the data is the best model. MDL methods learn through
Minimum_description_length
Statistical methods for comparing samples
differently). This also allows to determine required sample-size for a minimum-detectable-effect calculations. The test is related to other well known
Two-proportion_Z-test
Form of association rule learning
significant and large contrast set. The decision to prune is based on: The minimum deviation size: The maximum difference between the support of any two groups
Contrast_set_learning
Mathematical statistics distance measure
term, by a function of the deviations observed between data and the model's predictions (like the mean squared deviation) . Estimates of such divergence
Kullback–Leibler_divergence
Observation in economics
products as similar as possible. This is also referred to as the principle of minimum differentiation as well as Hotelling's linear city model. The observation
Hotelling's_law
Statistical considerations on how many observations to make
{1}{N_{h}}}\right),} which can be made a minimum if the sampling rate within each stratum is made proportional to the standard deviation within each stratum: n h /
Sample_size_determination
Statistical test
of a set of data. However, the Z-test requires knowing the population deviation, which is sometimes difficult to determine, making the t-test more convenient
Z-test
Type of statistics
mode, while measures of variability include the standard deviation (or variance), the minimum and maximum values of the variables, kurtosis and skewness
Descriptive_statistics
In mathematics, a quantitative measure of the shape of a set of points
the variance. The positive square root of the variance is the standard deviation σ ≡ ( E [ ( x − μ ) 2 ] ) 1 2 . {\displaystyle \sigma \equiv \left(\operatorname
Moment_(mathematics)
Dispersive prism
exits the prism at a deviation angle (relative to the light's original path) of exactly 60°. This is the minimum possible deviation of the prism, all other
Abbe_prism
Arithmetic mean of the maximum and the minimum
sum of squares of deviations and the median minimizes the average absolute deviation, the midrange minimizes the maximum deviation (defined as max | x
Mid-range
Non-informative prior distribution
} with μ {\textstyle \mu } fixed, the Jeffreys prior for the standard deviation σ > 0 {\textstyle \sigma >0} is p ( σ ) ∝ I ( σ ) = E [ ( d d σ log
Jeffreys_prior
Value that appears most often in a set of data
standard deviations of the mean, and the root mean square deviation about the mode is between the standard deviation and twice the standard deviation. An example
Mode_(statistics)
Details of data storage in a spreadsheet application
issues: round off, truncation, and binary storage, accumulation of the deviations of the operands in calculations, and worst: cancellation at subtractions
Numeric precision in Microsoft Excel
Numeric_precision_in_Microsoft_Excel
Statistical error measure
minimizes the arithmetic mean of the absolute deviations. More generally, a median is defined as a minimum of E ( | X − c | − | X | ) , {\displaystyle E(|X-c|-|X|)
Mean_absolute_error
Variance outlier test
estimate of a variance (or a standard deviation) is significantly larger than a group of variances (or standard deviations) with which the single estimate is
Cochran's_C_test
Distance in millimeters between the centers of each pupil
the IPD for each gender and sample size as the mean and standard deviation, minimum and maximum, and percentiles (e.g., 5th and 95th; 1st and 99th, 50th
Pupillary_distance
Examination to determine eye misalignment
test is an objective determination of the presence and amount of ocular deviation. It is typically performed by orthoptists, ophthalmologists and optometrists
Cover_test
Measure of performance in digital-to-analog and analog-to-digital converters
the maximum and minimum ideal output voltages of the DAC. For an ADC, the INL of a code c {\displaystyle c} is defined as the deviation of the mid-points
Integral_nonlinearity
Network utility used to test the reachability of a host
of the results, typically including the minimum, maximum, the mean round-trip times, and standard deviation of the mean. Command-line options and terminal
Ping_(networking_utility)
Approximation method in statistics
dependent variable as a function of the independent variable and the deviations from the fitted curve. When the observations come from an exponential
Least_squares
Fundamental theorem in probability theory and statistics
mean sample standard deviation divided by the square root of the sample size (~28.87/√n), which is called the standard deviation of the mean (since it
Central_limit_theorem
Anime and manga pornography
Hentai (ヘンタイ, deviation/abnormality; 変態) is a style of Japanese pornographic anime and manga. In addition to anime and manga, hentai works exist in a
Hentai
Planned deviation from an ideal dimension
In engineering and machining, an allowance is a planned deviation between an exact dimension and a nominal or theoretical dimension, or between an intermediate-stage
Allowance_(engineering)
Class of statistical tests
the sample maximum and minimum and computes their z-score, or more properly t-statistic (number of sample standard deviations that a sample is above or
Normality_test
Number of occurrences in an experiment or study
data. There are simple algorithms to calculate median, mean, standard deviation etc. from these tables. Statistical hypothesis testing is founded on the
Frequency_(statistics)
Type of chart
Mode Dispersion Average absolute deviation Coefficient of variation Interquartile range Percentile Range Standard deviation Variance Shape Central limit theorem
Bar_chart
Measure of covariance of components of a random vector
were held constant. The standard deviation matrix S {\displaystyle \mathbf {S} } is the extension of the standard deviation to multiple dimensions. It is
Covariance_matrix
Range to estimate an unknown parameter
calculating the sample mean X ¯ {\displaystyle {\bar {X}}} and sample standard deviation S {\displaystyle S} and using the asymptotically standard normal quantity
Confidence_interval
Single measure of some attribute of a sample
mean, sample median, and sample mode Sample variance and sample standard deviation Sample quantiles besides the median, e.g., quartiles and percentiles Test
Statistic
Experiment methodology
means under stringent conditions regarding normality and a known standard deviation. Student's t-tests are appropriate for comparing means under relaxed conditions
A/B_testing
Measure of the asymmetry of random variables
{\displaystyle \nu } is the median, and σ {\displaystyle \sigma } is the standard deviation, the skewness is defined in terms of this relationship: positive/right
Skewness
Aborted landing of an aircraft
deployed, Glideslope deviation, Localizer deviation, Flaps not extended, Rate of descent deviation, and Approach speed (Vref) deviation. Incomplete landing
Go-around
Approach in data analysis
aid statistical analysis, for example to compute the mean or standard deviation. They were also removed to better predictions from models such as linear
Anomaly_detection
Tool to assess control of a manufacturing process
standard deviation, the [clarification needed] does not make the assumption of homogeneity of process over time that the standard deviation makes. Upper
Control_chart
Minimal models Minimal subtraction scheme Minimum Ionizing Particle Minimum audibility curve Minimum deviation Minimum total potential energy principle Minkowski
Index_of_physics_articles_(M)
Graphical representation of the distribution of numerical data
}}}{\sqrt[{3}]{n}}},} where σ ^ {\displaystyle {\hat {\sigma }}} is the sample standard deviation. Scott's normal reference rule is optimal for random samples of normally
Histogram
share of the world has a long-term average of 26%, with 6% standard deviation. The minimum could be as low as 16% while the maximum as high as 38%. In the
Population_history_of_China
Statistical property
(among mean-unbiased estimators), as observed by Gauss. A minimum-average absolute deviation median-unbiased estimator minimizes the risk with respect
Bias_of_an_estimator
Mixture of liquids whose proportions do not change when distilled
point mixtures. A solution that shows greater positive deviation from Raoult's law forms a minimum boiling azeotrope at a specific composition. In general
Azeotrope
MINIMUM DEVIATION
MINIMUM DEVIATION
Girl/Female
Arabic, Muslim
Increase; Excess; High Degree; Maximum; Feminine of Mazid
Girl/Female
Christian, Gujarati, Hindu, Indian, Kannada, Marathi, Sindhi, Telugu
Wished-for Child
Boy/Male
African, Arabic
Far
Girl/Female
Tamil
Wished for child
Boy/Male
Irish
Is the Irish form of Old English ead “â€richâ€â€ + mund “â€guardianâ€â€, and implies “â€guardian of the riches.â€â€ In more recent times the name has been given to honor Eamon De Valera who was President of Ireland for 14 years, the maximum allowed, from 1959 to 1973.
Girl/Female
English, Hindu, Indian, Marathi
Small Daughter
Boy/Male
Irish
Is the Irish form of Old English ead “â€richâ€â€ + mund “â€guardianâ€â€, and implies “â€guardian of the riches.â€â€ In more recent times the name has been given to honor Eamon De Valera who was President of Ireland for 14 years, the maximum allowed, from 1959 to 1973.
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
Boy/Male
Irish
Is the Irish form of Old English ead “â€richâ€â€ + mund “â€guardianâ€â€, and implies “â€guardian of the riches.â€â€ In more recent times the name has been given to honor Eamon De Valera who was President of Ireland for 14 years, the maximum allowed, from 1959 to 1973.
MINIMUM DEVIATION
MINIMUM DEVIATION
Girl/Female
Hindu, Indian
Knowledge; Wise Girl
Girl/Female
Tamil
Planet
Girl/Female
Australian, British, English, Portuguese
Form of Marilyn; Bitter; Wished for Child; Bitter Rebellious
Surname or Lastname
English
English : from a pet form of the personal name Rollo or Rolf.
Boy/Male
Tamil
Pleasure, Sage, Ray of light
Girl/Female
Hindu
One who is above all
Girl/Female
Gujarati, Indian, Kannada, Malayalam
Vedam
Girl/Female
African, American, Anglo, British, Christian, English
Noble Woman; Leader Female Version of Earl
Boy/Male
Arabic, Muslim
Servant of the Exalted (Allah)
Boy/Male
American, British, Danish, Dutch, English, French, German, Hebrew, Latin, Swiss
Supplanter; French Form of Jacob Supplanter; He who Supplants
MINIMUM DEVIATION
MINIMUM DEVIATION
MINIMUM DEVIATION
MINIMUM DEVIATION
MINIMUM DEVIATION
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
n.
A kind of minium, or red lead, made by calcining carbonate of lead, but inferior to true minium.
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
n.
A coarse umbelliferous plant of Europe (Tordylium maximum).
n.
A being of the smallest size.
a.
Of the color of minium or red lead; miniate.
pl.
of Minimum
v. t.
To reduce to the smallest part or proportion possible; to reduce to a minimum.
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
n.
A heavy, brilliant red pigment, consisting of an oxide of lead, Pb3O4, obtained by exposing lead or massicot to a gentle and continued heat in the air. It is used as a cement, as a paint, and in the manufacture of flint glass. Called also red lead.
n.
A minim.
a.
Of the color of red or vermilion.
n.
A small American bird (Empidonax minimus); the least flycatcher.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
Anything very minute; as, the minims of existence; -- applied to animalcula; and the like.
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.
pl.
of Minimus
pl.
of Maximum
n.
The little finger; the fifth digit, or that corresponding to it, in either the manus or pes.
n.
Minimum.