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In mathematical logic, a formal calculation, or formal operation, is a type of mathematical calculation, often involving power series, that is carried
Formal_calculation
Topics referred to by the same term
cause Formal power series, a generalization of power series without requiring convergence, used in combinatorics Formal calculation, a calculation which
Formal
Topics referred to by the same term
The term formal operation may refer to: the formal operational period in Piaget's theory of cognitive development. a formal calculation in mathematical
Formal_operation
Critique of planned economies
The economic calculation problem (ECP) is a criticism of using central economic planning (rather than market-based mechanisms) for the allocation of the
Economic_calculation_problem
Method of appraising and accounting which replaces money with use value
monetary profit (formal rationality). As the basis for a socialist economy, it was proposed to replace money and financial calculation. In an in-kind economy
Calculation_in_kind
Symbolic description of a mathematical object
becoming the standard. Analytic expression Closed-form expression Formal calculation Functional programming Infinite expression Number sentence Rewriting
Expression_(mathematics)
Study of correct reasoning
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical
Logic
Any type of calculation
Today, any formal statement or calculation that exhibits this quality of well-definedness is termed computable, while the statement or calculation itself
Computation
Physical law in electrochemistry
equation is a chemical thermodynamical relationship that permits the calculation of the reduction potential of a reaction (half-cell or full cell reaction)
Nernst_equation
Economic activity unregulated by government
activity in their GDP calculations since 1987, which swells their GDP by an estimated 18% and in 2014, a number of European countries formally changed their GDP
Informal_economy
Integral of the Gaussian function, equal to sqrt(π)
numerically be solved using series. These may be interpreted as formal calculations when there is no convergence. For example, the solution to the integral
Gaussian_integral
Approximation of a function by a polynomial
f(k+1) exists as an L1-function, and the result can be proven by a formal calculation using the fundamental theorem of calculus and integration by parts
Taylor's_theorem
Term in statistical hypothesis testing
answer. The main application of statistical power is "power analysis", a calculation of power usually done before an experiment is conducted using data from
Power_(statistics)
Biodiversity metric designed for commercial use
Conference – a global biodiversity accreditation framework. BICs are due to be formally launched in early 2024. Biodiversity credits have been criticised by some
Biodiversity_Impact_Credit
Leibnizian universal language concept
create a language usable within the framework of a universal logical calculation or calculus ratiocinator. The characteristica universalis is a recurring
Characteristica_universalis
was first formulated, there has been continuous progress made in the calculation of lower bounds and upper bounds of M (n), with the following results:
Minimum_overlap_problem
Policy for emissions reductions
Change Agreement) of 2015 with countries' non-binding climate pledges, formally known as NDCs, and before the agreement's ratification for INDCs (Intended
Climate_target
Measure to genetic distance between populations
investigate "genomic islands" of speciation. Absolute genetic divergence was formally defined by Masatoshi Nei in 1987. It represents the average number of pairwise
Absolute_genetic_divergence
Feature of systems that defy description
This makes the definition constructive and operational—allowing formal calculation of complexity.Intuitive criterion of complexity:Complexity is the
Complexity
^{*}}\rho (w)\,|dw|=L_{\rho ^{*}}(\gamma ^{*}).} To justify this formal calculation, suppose that γ {\displaystyle \gamma } is defined in some interval
Extremal_length
biology, protein pKa calculations are used to estimate the pKa values of amino acids as they exist within proteins. These calculations complement the pKa
Protein_pKa_calculations
Unique numeric book identifier since 1970
that the first remainder is 0. Without the second modulo operation, the calculation could result in a check digit value of 11 − 0 = 11, which is invalid
ISBN
Topics referred to by the same term
plural calculī) in its most general sense is any method or system of calculation. Less commonly, it may refer to certain things resembling pebbles. Contemporarily
Calculus_(disambiguation)
Dose measurement of radiation
radiological dose at cruising altitudes varies with latitude, for FED calculations, the radiological dose rate at an altitude of 10,000 m has been standardized
Flight-time_equivalent_dose
Statistical method
of the reference data set are then associated with a ridit score. More formally, for each 1 ≤ j ≤ n {\displaystyle 1\leq j\leq n} , the value wj is the
Ridit_scoring
5 GHz Depth = Not specified The single vegetative obstruction model is formally expressed as, A = { d γ , frequency < 3 G H z R f d + k [ 1 − e ( R f
Single vegetative obstruction model
Single_vegetative_obstruction_model
Number taken as representative of a list of numbers
using the average, although there seem to be no direct record of the calculation. The root is found in Arabic as عوار ʿawār, a defect, or anything defective
Average
Subfield of mathematics
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory
Mathematical_logic
Statistical procedure
{\displaystyle s^{2}} for σ 2 {\displaystyle \sigma ^{2}} . Dunnett's test's calculation is a procedure that is based on calculating confidence statements about
Dunnett's_test
Complexity measure in computer science
have a delimiting line, which can be moved in the sequence during the calculation. At first, this line is set just after the first symbol, at the beginning
Lempel–Ziv_complexity
Radio propagation model
links. Frequency: 900 MHz band The Lee model for point to point mode is formally expressed as: L = L 0 + γ g log d − 10 ( log F A − 2 log ( H E T
Point-to-point_Lee_model
Method to determine the age of an object
The calculation of radiocarbon dates determines the age of an object containing organic material by using the properties of radiocarbon (also known as
Calculation of radiocarbon dates
Calculation_of_radiocarbon_dates
Basic proposition or assumption
principles are referred to as postulates by Kantians. In mathematics and formal logic, first principles are referred to as axioms or postulates. In physics
First_principle
Limitative results in mathematical logic
mathematical logic that are concerned with the limits of provability in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Frequency: 900 MHz to 5.2 GHz Floors: 1 to 3 The ITU indoor path loss model is formally expressed as: L = 20 log 10 f + N log 10 d + P f ( n ) − 28 {\displaystyle
ITU model for indoor attenuation
ITU_model_for_indoor_attenuation
Fire weather index
master's thesis at the University of Arizona examined modifying HDW's calculation using higher-resolution regional weather model data, finding that the
Hot-Dry-Windy_Index
Amount in information economics
averse or risk seeking, this simple calculation does not necessarily yield the correct result, and iterative calculation is the only way to ensure correctness
Value_of_information
casual game settings, this calculation is not necessary. However, under more formal settings, it may be required. This calculation takes the game's scores
Japanese mahjong scoring rules
Japanese_mahjong_scoring_rules
Computer task-sharing protocol
"An implementation of the contract net protocol based on marginal cost calculations" (PDF). AAAI-93 Proceedings. pp. 256–262. (Roger) Jiao, Jianxin; You
Contract_Net_Protocol
Summatory function of the Möbius function
( x ) = M ( ⌊ x ⌋ ) . {\displaystyle M(x)=M(\lfloor x\rfloor ).} Less formally, M ( x ) {\displaystyle M(x)} is the count of square-free integers up to
Mertens_function
Brazilian presidential administration from 2003 to 2010
considered insufficient for Brazil's growth needs, according to analyses and calculations. According to data from economist Raul Velloso, calculated on the basis
First presidency of Lula da Silva
First_presidency_of_Lula_da_Silva
Expression which is not assigned an interpretation
mathematicians may use the term undefined to warn that a particular calculation or property can produce mathematically inconsistent results, and therefore
Undefined_(mathematics)
Principle in geometry and linear algebra
first find its eigenvalues, and then find an orthonormal eigenbasis. Calculation reveals that the eigenvalues of A are λ 1 = 1 , λ 2 = 9 {\displaystyle
Principal_axis_theorem
Change in enthalpy during the mixture of substances
case cause an explosion. Enthalpy of mixing can often be ignored in calculations for mixtures where other heat terms exist, or in cases where the mixture
Enthalpy_of_mixing
Bug in the Intel P5 Pentium floating-point unit
lookup table used by the FPU's floating-point division algorithm led to calculations acquiring small errors. In certain circumstances the errors can occur
Pentium_FDIV_bug
of the set. This concept was formally introduced by Josh Benaloh and Michael de Mare in 1993. There are several formal definitions which have been proposed
Accumulator_(cryptography)
Recursive function
isomorphic to the list [1, 1, 2, 3, 4, 5]. The catamorphism, then, is the calculation of the product of the elements of this list. Thus, in the notation given
Hylomorphism (computer science)
Hylomorphism_(computer_science)
Indian writer and mental calculator (1929–2013)
abilities at the University of Mysore without any formal education. Devi strove to simplify numerical calculations for students. She wrote several books in her
Shakuntala_Devi
Composite statistic of life expectancy, education, and income indices
that they undertook a systematic revision of the methods used for the calculation of the HDI, and that the new methodology directly addresses the critique
Human_Development_Index
Readability test for English writing
readability test for English writing. The index estimates the years of formal education a person needs to understand the text on the first reading. For
Gunning_fog_index
Mathematical theorem
}}i\in {\text{ann}}_{R}(Y))\\&=A(y)\end{aligned}}} Now we do the same calculation for x: x ⋅ r = x ⋅ ( s + i ) = x ⋅ s + x ⋅ i = x ⋅ s + ( A ( x ) − x
Jacobson_density_theorem
Measure of statistical dispersion
MD. The mean absolute difference is defined as the "average" or "mean", formally the expected value, of the absolute difference of two random variables
Mean_absolute_difference
Probabilistic problem-solving algorithm
modeling phenomena with significant uncertainty in inputs such as the calculation of risk in business and, in mathematics, evaluation of multidimensional
Monte_Carlo_method
moveable feast, the date of Easter is determined in each year through a calculation known as computus paschalis (Latin for 'Easter computation') – often
Date_of_Easter
Human health index
are age- and sex-dependent empirically determined and tabulated. The calculation is made according to the following formula: A B S I z = A B S I − A B
Body_shape_index
Theorem in quantum mechanics
this is not some calculation that was merely stumbled upon, but rather that it embodies a physical truth. The practical calculations and tools are motivated
Haag's_theorem
Nonparametric test of the null hypothesis
effect using the average of AUCk,ℓ and AUCℓ,k. The test involves the calculation of a statistic, usually called U, whose distribution under the null hypothesis
Mann–Whitney_U_test
Inherent difficulty of computational problems
yes or no (alternatively, 1 or 0). A decision problem can be viewed as a formal language, where the members of the language are instances whose output is
Computational complexity theory
Computational_complexity_theory
apportioning seats in 1792 (D'Hondt method), now widely used in PR seat calculations, but it was used for House apportionment, not for party proportional
Proportional representation in the United States
Proportional_representation_in_the_United_States
equilibration). The formal derivation of the RIF is divided into three separate calculations: (1) calculation of 1st factorial moment, (2) calculation of inclination
Risk_inclination_formula
proofs that would be far longer than this if the details of the computer calculations they depend on were published in full. The length of unusually long proofs
List of long mathematical proofs
List_of_long_mathematical_proofs
Higher-order interactions of magnetic moments of chemicals
{\displaystyle T_{3z^{2}-r^{2}}} it is even not any kind of rotation. Calculation of multipolar exchange interactions remains a challenging issue in many
Multipolar exchange interaction
Multipolar_exchange_interaction
Measure of accuracy of predictions
weather event that is verified at many locations. An example of a skill calculation which uses the error metric 'Mean Squared Error (MSE)' and the associated
Forecast_skill
concludes that all "recursions" involve (i) the formal analysis he presents in his §54 Formal calculations of primitive recursive functions and, (ii) the
History of the Church–Turing thesis
History_of_the_Church–Turing_thesis
Measure used to compare treatments in randomised trials
relatively unimportant in the estimation of the ATE—that is to say, calculation of the ATE requires that a treatment be applied to some units and not
Average_treatment_effect
Systematic approach to estimating the strengths and weaknesses of alternatives
}{B_{t}-C_{t} \over {(1+r)^{t}}}} The selection of a discount rate for this calculation is subjective. A smaller rate values the current generation and future
Cost–benefit_analysis
Bug in a program that causes incorrect operation, but not termination
calculation. This example function in C to calculate the average of two numbers contains a logic error. It is missing parentheses in the calculation,
Logic_error
Thought experiment about timing interstellar missions
launch a mission to another star system. The concept is an optimization calculation used to find the minimum total time required to reach a distant destination
The_Wait_Equation
Period of the history of Spain corresponding to the Contemporary Age
In the context of the Yalta and Potsdam conferences, the geostrategic calculations of Churchill and Truman considered it preferable to keep Franco in Spain
Contemporary_history_of_Spain
Collection of character sketches
his efforts to reform criminals on the fact that "'all men act from calculation'". Yet, Hazlitt observes, "it is of the very essence of crime to disregard
The_Spirit_of_the_Age
Graphical language for quantum processes
rules, collectively referred to as the ZX-calculus. Using these rules, calculations can be performed in the graphical language itself. The building blocks
ZX-calculus
Value added tax is an indirect tax
from public authorities. In addition to this material requirement, the formal provisions according to Art. 37 VAT Act must also be fulfilled. Thus, input
Value_added_tax_(Switzerland)
American photographer and environmentalist (1902–1984)
the Moon allowed the image to be eventually dated from astronomical calculations, and in 1991 Dennis di Cicco of Sky & Telescope determined that Moonrise
Ansel_Adams
1945 attacks in Japan during WWII
060 ft)—the latter possibly an error transposing two digits. A later calculation using the indicated atmospheric pressure arrived at the figure of 9,800
Atomic bombings of Hiroshima and Nagasaki
Atomic_bombings_of_Hiroshima_and_Nagasaki
Economic model explaining consumption pattern formation
conditional on the information available in period t {\displaystyle t} . Formally, the consumer's problem is then max { c k } k = t T E t ∑ k = 0 T − t
Permanent_income_hypothesis
traffic as a protest against Transport for London's refusal to stop Uber's calculation of fares based on distance and time taken, as they claimed it infringes
Legality of ridesharing companies by jurisdiction
Legality_of_ridesharing_companies_by_jurisdiction
Number measuring the chance an event occurs
representation of its concepts in formal terms – that is, in terms that can be considered separately from their meaning. These formal terms are manipulated by
Probability
Algorithms for calculating square roots
The methods may be roughly classified as those suitable for mental calculation, those usually requiring at least paper and pencil, and those which are
Square_root_algorithms
Binary representation for signed numbers
the place values together, but subtract the sign value from the final calculation. Because the most significant value is the sign value, it must be subtracted
Two's_complement
extravagance", she thought. "Everything about it, indeed, expresses calculation – mathematical symbols pave the entrance, and one interior canopy displays
List of works by Rafael Viñoly
List_of_works_by_Rafael_Viñoly
Phemomenon of physical optics
wavelength near the waist (z ≈ 0). Thus the phase velocity in that region formally exceeds the speed of light. That paradoxical behavior must be understood
Gouy_phase_shift
Chinese online retailer's controversies
Peer-to-peer cannot be turned off temporarily. Please stay tuned. After calculation, it can be found that the rewards and services that can be exchanged
Criticisms_of_Baidu
2001 terror attacks in the U.S.
Somalia. The report derived its estimate of indirect deaths using a calculation from the Geneva Declaration of Secretariat which estimates that for every
September_11_attacks
Inaugural season of the UFL
decimal place is shown in table but two decimal places are used in all calculations. * Viewership figures for games streaming on ESPN+ were not released
2024_UFL_season
Soviet satellite Sputnik in 1957, conceptual abstraction rather than calculation gained a central role in mathematics education. The educational status
Mathematics education in the United States
Mathematics_education_in_the_United_States
Psychometric reliability formula
split-half reliability coefficient, but Spearman (1910) did not. Second, the formal derivation of Brown (1910) is more concise and elegant than that of Spearman
Spearman–Brown prediction formula
Spearman–Brown_prediction_formula
mathematician. He wrote Uttan Gadit (in Sanskrit) that was used for calculation of solar and lunar eclipses. This book was revised by Padma Nav Keshari
Mathematics_in_Nepal
Term in energy economics
billion of them (54% of the world total). In 1950, Fuller revised his calculations upwards and estimated that, on average, each human holds 38 energy slaves
Energy_slave
Sequence of operations for a task
a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use conditionals to
Algorithm
Video-sharing platform
Billboard had announced that it was factoring YouTube streaming data into calculation of the Billboard Hot 100 and related genre charts. Observing that face-to-face
YouTube
Theoretical universal logical calculation framework
calculus ratiocinator is a formal inference engine or computer program, which can be designed so as to grant primacy to calculations. That logic began with
Calculus_ratiocinator
Economic system based on social ownership of the means of production in a market economy
term "market socialism" only emerged in the 1920s during the socialist calculation debate, a number of pre-Marx socialists, including the Ricardian socialist
Market_socialism
German standard approach to property valuing
to be calculated and will later on be subtracted from the value. This calculation has to be made under the assumption that it correlates with the assumed
German_income_approach
Indo-Aryan language
scheduled languages of the Republic of India. Apart from the script and formal vocabulary, Modern Standard Hindi is mutually intelligible with standard
Hindi
Library building in Boston, Massachusetts
Great Collections of This Country Improvement in Buildings Interesting Calculations, Gifts and Bequests—the "Stack" System". San Francisco Chronicle. March
Boston_Central_Library
Decimal error detection code
complexity. The calculations required cannot easily be expressed as a formula in say Z / 10Z. Lookup tables are required for easy calculation. A similar code
Verhoeff_algorithm
Overview of genocides before 1914
Antero Leitzinger flagged the affair the 19th century's largest genocide. Calculations including those which take the Russian government's own archival figures
Genocides in history (1490 to 1914)
Genocides_in_history_(1490_to_1914)
Ability of a computing system to simulate Turing machines
mathematics – that a universal Turing machine can, in principle, perform any calculation that any other programmable computer can. This says nothing about the
Turing_completeness
Educational assessment
be administered formally or informally. An example of an informal test is a reading test administered by a parent to a child. A formal test might be a
Exam
High-temperature expansion in statistical mechanics
potential, etc. When the particles of the system interact, an exact calculation of the partition function is usually not possible. For low density, the
Cluster_expansion
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