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Topics referred to by the same term
Sum rule may refer to: Sum rule in differentiation, Differentiation rules #Differentiation is linear Sum rule in integration, see Integral #Properties
Sum_rule
sum _{i}x_{i}&&=\sum _{i}\tan \theta _{i}\\[6pt]e_{2}&=\sum _{i<j}x_{i}x_{j}&&=\sum _{i<j}\tan \theta _{i}\tan \theta _{j}\\[6pt]e_{3}&=\sum
List of trigonometric identities
List_of_trigonometric_identities
Approximation technique in integral calculus
known as the rectangle rule. It can also be applied for approximating the length of curves and other approximations. The sum is calculated by partitioning
Riemann_sum
Operation in mathematical calculus
In mathematics, an integral is the continuous analog of a sum, and is used to calculate areas, volumes, and their generalizations. The process of computing
Integral
Rules for computing derivatives of functions
factor rule: ( a f ) ′ = a f ′ , {\displaystyle (af)'=af',} The sum rule: ( f + g ) ′ = f ′ + g ′ , {\displaystyle (f+g)'=f'+g',} The difference rule: ( f
Differentiation_rules
Dimensionless quantity in spectroscopy
above expression results in a sum rule ∑ k ≠ n f n k = 1 , f n k = − 2 m | ⟨ n | p x | k ⟩ | 2 E n − E k , {\displaystyle \sum _{k\neq n}f_{nk}=1,\,\,\,\
Oscillator_strength
Formula for the derivative of a product
rule since the derivative of any constant is zero. This, combined with the sum rule for derivatives, shows that differentiation is linear. The rule for
Product_rule
Non-perturbative technique in quantum chromodynamics
perturbative techniques often fail to apply. The QCD sum rules (or Shifman–Vainshtein–Zakharov sum rules) are a way of dealing with this. The idea is to work
QCD_sum_rules
Relation between static and dynamic quantities
In quantum field theory, a sum rule is a relation between a static quantity and an integral over a dynamical quantity. Therefore, they have a form such
Sum rules (quantum field theory)
Sum_rules_(quantum_field_theory)
Rule for energy level transitions
a sum rule is a formula for transitions between energy levels, in which the sum of the transition strengths is expressed in a simple form. Sum rules are
Sum_rule_in_quantum_mechanics
Topics referred to by the same term
in cryptography Sum rule in differentiation, in calculus Sum rule in integration, in calculus Sum rule in quantum mechanics Wedge sum, a one-point union
Sum
Methods used in combinatorics
several useful combinatorial rules or combinatorial principles are commonly recognized and used. The rule of sum, rule of product, and inclusion–exclusion
Combinatorial_principles
Decision rule of maximizing utility
social choice and operations research, the utilitarian rule (also called the max-sum rule) is a rule saying that, among all possible alternatives, society
Utilitarian_rule
Instantaneous rate of change (mathematics)
functions. For constant rule and sum rule, see Apostol 1967, pp. 161, 164, respectively. For the product rule, quotient rule, and chain rule, see Varberg, Purcell
Derivative
This model is a development of Pauling's rules. The basic method is that the valence V of an atom is the sum of the individual bond valences vi surrounding
Bond_valence_method
rules Derivative of a constant Sum rule in differentiation Constant factor rule in differentiation Linearity of differentiation Power rule Chain rule
List_of_calculus_topics
Finds the sum of certain infinite series involving Bessel functions of the first kind
The Lerche–Newberger, or Newberger, sum rule, discovered by B. S. Newberger in 1982, finds the sum of certain infinite series involving Bessel functions
Lerche–Newberger_sum_rule
Mathematical operation modeling parallel resistors
the parallel lines notation from geometry; also known as reduced sum, parallel sum or parallel addition) is a binary operation which is used as a shorthand
Parallel_(operator)
Numerical integration method
applying the trapezoidal rule to each subinterval and summing the results. In practice, this "chained" (or "composite") trapezoidal rule is usually what is
Trapezoidal_rule
Formulation of quantum mechanics
a sum rule for the magnitude of the matrix elements: ∑ j P i j x j i − X i j p j i = i ∑ j 2 m ( E i − E j ) | X i j | 2 = i . {\displaystyle \sum
Matrix_mechanics
Ancient Mesopotamian civilization from 3300 to 1900 BC
Sumer (/ˈsuːmər/ SOO-mər) is the earliest known civilization, located in the historical region of southern Mesopotamia (now south-central Iraq), emerging
Sumer
Method of yearly interest calculation
Also known as the "Sum of the Digits" method, the Rule of 78s is a term used in lending that refers to a method of yearly interest calculation. The name
Rule_of_78s
Index of articles associated with the same name
the sum of the squares of the reciprocals of all positive integers. Rational trigonometry's triple-quad rule and triple-spread rule contain sums of squares
Sum_of_squares
Graph metric of electrical resistance between nodes
( M L ) {\displaystyle \sum _{i,j\in V}(LML)_{i,j}\Omega _{i,j}=-2\operatorname {tr} (ML)} From this generalized sum rule a number of relationships
Resistance_distance
Canadian rock band
Sum 41 was a Canadian rock band formed in Ajax, Ontario, in 1996. The band's final lineup consisted of Deryck Whibley (lead vocals, rhythm guitar, keyboards)
Sum_41
Calculus property
simpler rules of differentiation, the sum rule (the derivative of the sum of two functions is the sum of the derivatives) and the constant factor rule (the
Linearity_of_differentiation
Class of nonparametric methods
of the prediction step via the kernel sum rule and the embedding of the conditioning step via kernel Bayes' rule. Assuming a training sample ( s ~ 1 ,
Kernel embedding of distributions
Kernel_embedding_of_distributions
Theory of the strong nuclear interactions
H.G. Dosch; M. Jamin (2000). "The field strength correlator from QCD sum rules". Nucl. Phys. B Proc. Suppl. 86 (1–3). Heidelberg, Germany: 421–425.
Quantum_chromodynamics
Generalization of the product rule in calculus
Leibniz rule states more generally: ∂ α ( f g ) = ∑ β : β ≤ α ( α β ) ( ∂ β f ) ( ∂ α − β g ) . {\displaystyle \partial ^{\alpha }(fg)=\sum _{\beta \
General_Leibniz_rule
Algorithm for statistical inference on graphical models
Belief propagation, also known as sum–product message passing, is a message-passing algorithm for performing inference on graphical models, such as Bayesian
Belief_propagation
Phrase of the philosopher René Descartes
The Latin cogito, ergo sum, usually translated into English as "I think, therefore I am", is the "first principle" of the philosophy of the French scientist
Cogito,_ergo_sum
Quotient rule Ramsey's theorem Rao–Blackwell theorem Rice's theorem Rolle's theorem Splitting lemma squeeze theorem Sum rule in differentiation Sum rule in
List_of_mathematical_proofs
Spectroscopic technique
m = 0 , ± 1 {\displaystyle \Delta m=0,\pm 1} We will derive the XMCD sum rules from their original sources, as presented in works by Carra, Thole, Koenig
X-ray magnetic circular dichroism
X-ray_magnetic_circular_dichroism
American physicist (1934–2024)
of the hadrons. Bjorken also discovered the Bjorken sum rule, the prototypical QCD spin sum rule. It states that in the Bjorken scaling domain, the integral
James_Bjorken
For the cross section for scattering of a photon by an atomic electron
of "negative absorption" (stimulated emission), the Thomas–Reiche–Kuhn sum rule, and inelastic scattering — where the energy of the scattered photon may
Kramers–Heisenberg_formula
American theoretical physicist (1926–2005)
Ferrell Distinguished Faculty Fellowship. The Ferrell–Glover–Tinkham sum rule "asserts that the finite frequency response which is lost in the superconducting
Richard_Allan_Ferrell
Method for numerical integration
{1}{3}}h\left[f(x_{0})+4\sum _{i=1}^{n/2}f(x_{2i-1})+2\sum _{i=1}^{n/2-1}f(x_{2i})+f(x_{n})\right].\end{aligned}}} This composite rule with n = 2 {\displaystyle
Simpson's_rule
Shorthand way of determining whether a given number is divisible by a fixed divisor
the simpler rules can be produced using only algebraic manipulation, creating binomials and rearranging them. By writing a number as the sum of each digit
Divisibility_rule
Infinite sum
of these sums exist via the completeness of the real numbers and whether series terms can be rearranged or not without changing their sums using absolute
Series_(mathematics)
Statistical principle about ratio of effects to causes
The Pareto principle (also known as the 80:20 rule, the law of the vital few and the principle of factor sparsity) states that, for many outcomes, roughly
Pareto_principle
Method of mathematical differentiation
chain rule as well as properties of logarithms (in particular, the natural logarithm, or the logarithm to the base e) to transform products into sums and
Logarithmic_differentiation
Chinese cuisine
Dim sum (traditional Chinese: 點心; simplified Chinese: 点心; pinyin: diǎn xīn; Jyutping: dim2 sam1) is a large range of small Chinese dishes that are traditionally
Dim_sum
Counting principle in combinatorics
In combinatorics, the addition principle or rule of sum is a basic counting principle. Stated simply, it is the intuitive idea that if we have A number
Addition_principle
Conditions for switching order of integration in calculus
v(x)\,w(xy)\,\mathrm {d} y\right]\,\mathrm {d} x} In the next step, the sum rule is applied to the integrals: [ ∫ 0 u v ( x ) d x ] [ ∫ 0 u w ( x ) d x
Fubini's_theorem
Italian theoretical physicist (born 1949)
atomic Bose and Fermi gases. He has developed in a systematic way the sum rule approach to the collective behavior of interacting systems. After the studies
Sandro_Stringari
Instantaneous rate of change of the function
functions f and g defined in a neighborhood of, and differentiable at, p: sum rule: ∇ v ( f + g ) = ∇ v f + ∇ v g . {\displaystyle \nabla _{\mathbf {v} }(f+g)=\nabla
Directional_derivative
Formula in calculus
In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions z and y in terms of the derivatives
Chain_rule
Mathematical approximation of a function
infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its
Taylor_series
American computer scientist
he worked with Sidney Drell and formulated the Gerasimov-Drell-Hearn sum rule for connecting the Compton scattering amplitudes to the inclusive photoproduction
Anthony_C._Hearn
Lowest energy state in quantum chromodynamics
QCD coupling. These analyses are being refined further through improved sum rule estimates and direct estimates in lattice QCD. They provide the raw data
QCD_vacuum
Study of rates of change
general rules rather than directly from the limit definition. These include the sum rule, product rule, quotient rule, and chain rule. The power rule, for
Differential_calculus
Correlators of field operators
denotes the principal value of the integral. The spectral density obeys a sum rule, ∫ − ∞ ∞ d ω 2 π ρ ( k , ω ) = 1 , {\displaystyle \int _{-\infty }^{\infty
Green's function (many-body theory)
Green's_function_(many-body_theory)
Model of how neurons in the brain or artificial neural networks learn over time
∑ j = 1 m x j w j {\displaystyle \,y(\mathbf {x} )~=~\sum _{j=1}^{m}x_{j}w_{j}} Oja's rule defines the change in presynaptic weights w given the output
Oja's_rule
Statistical rule of thumb
Sturges's rule is a method to choose the number of bins for a histogram. Given n {\displaystyle n} observations, Sturges's rule suggests using k ^ = 1
Sturges's_rule
shell integration . Simpson's rule . sine . sine wave . slope field . squeeze theorem . sum rule in differentiation . sum rule in integration . summation
Glossary_of_calculus
Subatomic particle with positive charge
constituent quark model, which were popular in the 1980s, and the SVZ sum rules, which allow for rough approximate mass calculations. These methods do
Proton
Malagasy physicist
High-Energy Physics (HEPMAD-Madagascar). He works on QCD spectral sum rules (QSSR) or SVZ sum rules which have been introduced by M.A. Shifman, A.I. Vainshtein
Stephan_Narison
German-American physicist
function theory of several complex variables, the Goldberger–Miyazawa–Oehme sum rule, reduction of quantum field theories, Oehme–Zimmermann superconvergence
Reinhard_Oehme
Theorem in condensed matter physics
Behnam Farid; Tsvelik (2009). "Comment on "Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator", by J. Kokalj and P. Prelovšek, Phys
Luttinger's_theorem
Method of numerical integration
int(4, nm2, 4L)] <- 14 cf <- c(7, cf, 7) sum(cf * fx) * 2 * h[1L] / 45 } Newton–Cotes formulas Simpson's rule Romberg's method Boole 1880, p. 47, Eq(21)
Boole's_rule
Mathematical technique
discussion of the rule of three with the problem "If 4 yards of cloth cost 12 shillings, what will 6 yards cost at that rate?" The rule of three gives the
Cross-multiplication
1925 physics article by Werner Heisenberg
Heisenberg derives the Thomas-Reiche-Kuhn sum rule found from studying dispersion Heisenberg's quantisation rule h = 4 π m ∑ α = 0 ∞ { | a ( n , n + α )
Umdeutung_paper
Gradient descent learning rule in machine learning
i x i w j i {\textstyle h_{j}=\sum _{i}x_{i}w_{ji}} and y j = g ( h j ) {\displaystyle y_{j}=g(h_{j})} . The delta rule is commonly stated in simplified
Delta_rule
Physics property associated with symmetries
representations obey the "dimension sum rule": d Λ ⋅ d Λ ′ = ∑ i L i d Λ i . {\displaystyle d_{\Lambda }\cdot d_{\Lambda '}=\sum _{i}{\mathcal {L}}_{i}d_{\Lambda
Charge_(physics)
Infinite series that is not convergent
AΣ(a′). Another way of stating this is that the shift rule must be valid for the series that are summable by this method. The third condition is less important
Divergent_series
Family of solutions to related differential equations
functions Kontorovich–Lebedev transform Lentz's algorithm Lerche–Newberger sum rule Lommel function Lommel polynomial Neumann polynomial Schlömilch's series
Bessel_function
Unexplained empirical equation in particle physics
Université catholique de Louvain. Koide, Yoshio (1990). "Charged lepton mass sum rule from U(3) family Higgs potential model". Modern Physics Letters A. 5 (28):
Koide_formula
Specialized notation for multivariable calculus
mind the most important rules: the chain rule, product rule and sum rule. The sum rule applies universally, and the product rule applies in most of the
Matrix_calculus
Mathematical criterion about whether a series converges
convergence or divergence of an infinite series ∑ n = 1 ∞ a n {\displaystyle \sum _{n=1}^{\infty }a_{n}} . If the limit of the summand is undefined or nonzero
Convergence_tests
Method of differentiating single-term polynomials
In calculus, the power rule is used to differentiate functions of the form f ( x ) = x r {\displaystyle f(x)=x^{r}} , whenever r {\displaystyle r} is a
Power_rule
Mathematical problem involving optimal stopping theory
{r-1}{n}}\sum _{i=r}^{n}{\frac {1}{i-1}}} Alice's goal then is to make sure Bob cannot do better than the relative-rank stopping strategy. By the rules of the
Secretary_problem
Two equalities that deal with the current and potential difference
junction rule, states that, for any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents
Kirchhoff's_circuit_laws
Process in quantum optics
leading to nonexistence of the transition – due to Thomas–Reiche–Kuhn sum rule canceling for the harmonic oscillator the needed inequality to impossible
Superradiant_phase_transition
Probability distribution
the sum of n + m Bernoulli distributed random variables, which means Z = X + Y ~ B(n + m, p). This can also be proven directly using the addition rule. However
Binomial_distribution
Computational method in group theory
Murnaghan-Nakayama rule, one non-recursive and one recursive. Theorem: χ ρ λ = ∑ T ∈ B S T ( λ , ρ ) ( − 1 ) h t ( T ) {\displaystyle \chi _{\rho }^{\lambda }=\sum _{T\in
Murnaghan–Nakayama_rule
Differential mapping
_{p}(ab)=\delta _{p}(a)b^{p}+a^{p}\delta _{p}(b)+p\delta _{p}(a)\delta _{p}(b)} and "sum rule": δ p ( a + b ) = δ p ( a ) + δ p ( b ) + a p + b p − ( a + b ) p p , {\displaystyle
P-derivation
Formula for the derivative of a ratio of functions
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let h ( x ) = f (
Quotient_rule
Natural number
number is divisible by 3 if the sum of its digits in base 10 is also divisible by 3. This known as the divisibility rule of 3. Because of this, the reverse
3
Function that maps an observation to an action
In decision theory, a decision rule is a function which maps an observation to an appropriate action. Decision rules play an important role in the theory
Decision_rule
Mathematical rule
converge to the same number. For series, the rule states that the series ∑ n = 1 ∞ a n {\displaystyle \sum \limits _{n=1}^{\infty }a_{n}} converges to
Shift_rule
Inverse of a finite difference
calculus of finite differences, the indefinite sum (or antidifference operator), denoted by ∑ x {\textstyle \sum _{x}} or Δ − 1 {\displaystyle \Delta ^{-1}}
Indefinite_sum
Relation between properties and composition of a compound
{\displaystyle \sum _{i=1}^{n}{V_{i}}=1,} then the rule of mixtures can be shown to give: E ¯ = ∑ i = 1 n V i E i {\displaystyle {\overline {E}}=\sum _{i=1}^{n}{V_{i}E_{i}}}
Rule_of_mixtures
Non-perturbative approach to quantum field theory
various collider experiments, the operator product expansion is used in QCD sum rules to combine results from both perturbative and non-perturbative (condensate)
Operator_product_expansion
Lowest possible energy of a quantum system or field
ISBN 978-1-107-60276-2. OCLC 957316740. Leuchs, G.; Sánchez-Soto, L. L. (2013). "A Sum Rule For Charged Elementary Particles". The European Physical Journal D. 67
Zero-point_energy
1858–1947 Crown colonial rule in India
Raj (/ˈrɑːdʒ/ RAHJ; from Hindustani rāj, 'reign', 'rule' or 'government') was the period of rule of the British Crown on the Indian subcontinent, lasting
British_Raj
Approximation of the definite integral of a function
rule is taken as [−1, 1], so the rule is stated as ∫ − 1 1 f ( x ) d x ≈ ∑ i = 1 n w i f ( x i ) , {\displaystyle \int _{-1}^{1}f(x)\,dx\approx \sum
Gaussian_quadrature
Ethical theory based on maximizing well-being
social choice and operations research, the utilitarian rule (also called the max-sum rule) is a rule saying that, among all possible alternatives, society
Utilitarianism
Graphical representation of the distribution of numerical data
mi meet the following conditions: n = ∑ i = 1 k m i . {\displaystyle n=\sum _{i=1}^{k}{m_{i}}.} A histogram can be thought of as a simplistic kernel
Histogram
Sum of a number's digits
mathematics, the digit sum of a natural number in a given number base is the sum of all its digits. For example, the digit sum of the decimal number 9045
Digit_sum
German physicist
development of quantum mechanics including co-authoring the Thomas-Reiche-Kuhn sum rule. Fritz Reiche was born in 1883 in Berlin, Germany. In 1901 and 1902, he
Fritz_Reiche
Mass formula for hadrons
In physics, the Gell-Mann–Okubo mass formula provides a sum rule for the masses of hadrons within a specific multiplet, determined by their isospin (I)
Gell-Mann–Okubo_mass_formula
Mathematical optimization problem
multiple subset sum problem is an optimization problem in computer science and operations research. It is a generalization of the subset sum problem. The
Multiple_subset_sum
American theoretical physicist
meson physics community, Koltun was known for what is called the "Koltun Sum Rule" for the scattering of electrons from nuclear targets. Koltun held an Alfred
Daniel_S._Koltun
Mnemonic device for calculating 3 by 3 matrix determinants
In matrix theory, the rule of Sarrus is a mnemonic device for computing the determinant of a 3 × 3 {\displaystyle 3\times 3} matrix named after the French
Rule_of_Sarrus
Pension system for all residents of Japan
could only work in the program for three years and it appears the lump sum rules were crafted with this in mind. Some countries have concluded bilateral
National_Pension_(Japan)
Measure for evaluating probabilistic forecasts
from the quadratic scoring rule. S B ( p , i ) = ∑ j = 1 m ( y j − p j ) 2 {\displaystyle \mathbf {S} _{B}(\mathbf {p} ,i)=\sum _{j=1}^{m}(y_{j}-p_{j})^{2}}
Scoring_rule
American physicist
(ii) introduction of the gluon condensate and development of the SVZ sum rules relating properties of the low-lying hadronic states to the vacuum condensates
Mikhail_Shifman
Royal title in Ancient Mesopotamia
2334–2279 BC) and expressed a claim to rule the entirety of lower Mesopotamia (composed of the regions of Sumer in the south and Akkad in the north). Despite
King_of_Sumer_and_Akkad
Calculation rule in quantum mechanics
The Born rule is a postulate of quantum mechanics that gives the probability that a measurement of a quantum system will yield a given result. In one commonly
Born_rule
chemistry, Abegg's rule states that the difference between the maximum positive and negative valence of an element is frequently eight. The rule used a historic
Abegg's_rule
SUM RULE
SUM RULE
Surname or Lastname
English
English : variant spelling of Humm 1.Swiss German : unexplained.Chinese : Taishan spelling of of Tan 1.Other Southeast Asian : unexplained.
Surname or Lastname
English
English : habitational name from places in Lancashire and West Yorkshire called Lumb, both apparently originally named with Old English lum(m) ‘pool’. The word is not independently attested, but appears also in Lomax and Lumley, and may be reflected in the dialect term lum denoting a well for collecting water in a mine. In some instances the name may be topographical for someone who lived by a pool, Middle English lum(m).English : variant of Lamb.Chinese : variant of Lin 1.Chinese : possibly a variant of Lan.
Boy/Male
Irish
From the town by the river Boyn.
Girl/Female
Indian, Kannada, Korean, Telugu
The Sun; Obedient
Male
English
Short form of English Simon, SIM means "hearkening."
Male
English
Short form of English Humbert, possibly HUM means "bright support."Â
Surname or Lastname
English
English : unexplained.Jewish (Ashkenazic) : variant spelling of Schum.Chinese : (Pinyin Cen) this surname was derived from an area so named during the Zhou dynasty (1122–221 bc).
Boy/Male
Hindu, Indian, Marathi
Fragrance; Flower; Sum; Total
Male
English
Unisex short form of English Samantha and Samuel, both SAM means "heard of God," "his name is El," or "name of God."
Girl/Female
Egyptian English
Ask.
Girl/Female
Biblical Hindi Indian
That withdraws or departs, rebellion.
Boy/Male
American, Arabic, British, Czechoslovakian, Danish, Dutch, English, Finnish, French, German, Hawaiian, Hebrew, Hindu, Indian, Iranian, Jamaican, Malayalam, Parsi, Sanskrit, Swedish, Tamil, Telugu, Urdu
Told by God; God has Listen; To Hear; Sun; His Name is God; Sun Child; Little Sun; Strong Person; Heard of God; God; Good Person
Girl/Female
Australian, Danish, Swedish
Sun
Boy/Male
Egyptian
Great god of Annu.
Boy/Male
Australian, Biblical, Danish, German, Swedish
Mame; Renown; Sun Child; Little Sun
Boy/Male
Sikh
Sun, Godly, Warrior, Brave, A musical note
Boy/Male
Hebrew American
Sun child; bright sun.
Female
Thai/Siamese
Thai name SOM means "orange (the fruit)."
Female
English
Short form of English Susan, SUE means "lily."
Surname or Lastname
English
English : from a pet form of the personal name Samson (see Samson).Dutch (van Sam) : variant of Van den Sand (see Sand 2).Nigerian and Ghanaian : unexplained.Chinese : variant of Shen.Chinese : variant of Shum.Other Southeast Asian : unexplained.
SUM RULE
SUM RULE
Girl/Female
Muslim/Islamic
Beautiful intellegent
Boy/Male
Muslim
The one
Girl/Female
Indian
Cloud, Joyful
Boy/Male
Tamil
Earth, Base
Boy/Male
African, Hindu, Indian
Ground Squirrel
Girl/Female
Tamil
Anukampa | அநà¯à®•à®®à¯à®ªà®¾
Gods grace
Girl/Female
Biblical
A goldsmith's shop.
Girl/Female
Tamil
Anudeepthi | அநà¯à®¤à¯€à®ªà¯à®¤à¯€
Divine light
Girl/Female
Indian
Collection of pomes ir song, Tagores poems which got nobel prize, An offering of songs
Girl/Female
Arabic, Muslim
Student; Knowledge Seeker
SUM RULE
SUM RULE
SUM RULE
SUM RULE
SUM RULE
n.
That which resembles the sun, as in splendor or importance; any source of light, warmth, or animation.
n.
The principal points or thoughts when viewed together; the amount; the substance; compendium; as, this is the sum of all the evidence in the case; this is the sum and substance of his objections.
n.
A quantity of money or currency; any amount, indefinitely; as, a sum of money; a small sum, or a large sum.
n.
A vegetable secretion of many trees or plants that hardens when it exudes, but is soluble in water; as, gum arabic; gum tragacanth; the gum of the cherry tree. Also, with less propriety, exudations that are not soluble in water; as, gum copal and gum sandarac, which are really resins.
n.
The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; as, the sum of 5 and 7 is 12.
v. t.
To sing with shut mouth; to murmur without articulation; to mumble; as, to hum a tune.
n.
Sum subscribed; amount of sums subscribed; as, an individual subscription to a fund.
v. i.
To exude or from gum; to become gummy.
v. t.
To take the scum from; to clear off the impure matter from the surface of; to skim.
v. t.
To leave high and dry on shore; as, to sue a ship.
n.
The direct light or warmth of the sun; sunshine.
a.
Old-fashioned; queer; odd; as, a rum idea; a rum fellow.
v. t.
To smear with gum; to close with gum; to unite or stiffen by gum or a gumlike substance; to make sticky with a gumlike substance.
v. t.
To expose to the sun's rays; to warm or dry in the sun; as, to sun cloth; to sun grain.
v. i.
To form a scum; to become covered with scum. Also used figuratively.
v. i.
To prosecute; to make legal claim; to seek (for something) in law; as, to sue for damages.
n.
See Gum tree, below.