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Summation where the number of terms is zero
an empty sum, or nullary sum, is a summation where the number of terms is zero. The natural way to extend non-empty sums is to let the empty sum be the
Empty_sum
Inverse of a finite difference
{\displaystyle \sum _{\nu =x}^{y}(\lambda f(\nu )+\mu g(\nu ))=\lambda \sum _{\nu =x}^{y}f(\nu )+\mu \sum _{\nu =x}^{y}g(\nu )} . Empty Sum Condition: ∑
Indefinite_sum
Mathematical set containing no elements
one is inevitably led to the convention that the sum of the elements of the empty set (the empty sum) is zero. The reason for this is that zero is the
Empty_set
Result from multiplying no factors
one), just as the empty sum — the result of adding no numbers — is by convention equal to the additive identity (zero). The term empty product is most often
Empty_product
Figurate number
the tetrahedral numbers. Taking T 0 = 0 {\displaystyle T_{0}=0} (see empty sum), the first few terms are 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66,
Triangular_number
Problem in computer science
that the sum ∑ x = i j A [ x ] {\displaystyle \sum _{x=i}^{j}A[x]} is as large as possible. (Some formulations of the problem also allow the empty subarray
Maximum_subarray_problem
Addition of several numbers or other values
addends or summands; the result is their sum or total. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials
Summation
Topics referred to by the same term
contracting tensor indices Empty sum, a sum with no terms Indefinite sum, the inverse of a finite difference Kronecker sum, an operation considered a
Sum
Decomposition of an integer as a sum of positive integers
3 + 1 2 + 2 2 + 1 + 1 1 + 1 + 1 + 1 The only partition of zero is the empty sum, having no parts. The order-dependent composition 1 + 3 is the same partition
Integer_partition
Aircraft weight without fuel or payload
Empty weight (EW) is the sum of the ‘as built’ manufacturer's empty weight (MEW), plus any standard items (SI) plus any operator items (OI), EW = MEW
Operating_empty_weight
Number
method, such as l'Hôpital's rule. The sum of 0 numbers (the empty sum) is 0, and the product of 0 numbers (the empty product) is 1. The factorial 0! evaluates
0
In linear algebra, generated subspace
empty, the only possibility is n = 0, and the previous expression for span ( S ) {\displaystyle \operatorname {span} (S)} reduces to the empty sum.
Linear_span
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
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
Mathematical form
The empty product on numbers and most algebraic structures has the value of 1 (the identity element of multiplication), just like the empty sum has the
Product_(mathematics)
Conditional statement which is true because the antecedent cannot be satisfied
{\displaystyle \forall x\,P(x)\equiv \neg \exists x\,\neg P(x)} Empty sum and empty product Empty function Paradoxes of material implication, especially the
Vacuous_truth
In geometry, set whose intersection with every line is a single line segment
finite collection of non-empty sets: Conv ( ∑ n S n ) = ∑ n Conv ( S n ) . {\displaystyle {\text{Conv}}\left(\sum _{n}S_{n}\right)=\sum _{n}{\text{Conv}}\left(S_{n}\right)
Convex_set
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
Sequence of equally spaced numbers
arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series. According
Arithmetic_progression
Topics referred to by the same term
Joyce Carol Oates Empty sum Non Zero Sumness Zerosumfree monoid This disambiguation page lists articles associated with the title Zero sum. If an internal
Zero_sum_(disambiguation)
In type theory, a type with no terms
In type theory, an empty type or absurd type, typically denoted 0 {\displaystyle \mathbb {0} } is a type with no terms. Such a type may be defined as
Empty_type
(origin) belongs to all conical hulls (since the summation becomes an empty sum). The conical hull of a set S {\displaystyle S} is a convex set. In fact
Conical_combination
Data structure
indices corresponding to sums of k {\displaystyle k} distinct powers of 2 (with k = 0 {\displaystyle k=0} representing an empty sum 0). For example, level
Fenwick_tree
Special type of continuous-time Markov process
{1}{n}}+{\frac {1}{n}}\sum _{k=1}^{K-1}{\frac {1}{\prod _{j=1}^{k}\ln _{(j)}(n)}}+{\frac {c}{n\prod _{j=1}^{K}\ln _{(j)}(n)}},} where the empty sum for K = 1 {\displaystyle
Birth–death_process
Special functions of several complex variables
topics such as number theory: "in how many ways can a number be written as a sum of squares?" physics: "how does heat flow on a toroidal ring?", "how do quantum
Theta_function
Sums vector sets A and B by adding each vector in A to each vector in B
of radius 0 is the empty set). The Minkowski sum of a closed ball and an open ball is an open ball. More generally, the Minkowski sum of an open subset
Minkowski_addition
1994 film by Kevin Dowling
Australia The Sum of Us at Box Office Mojo www.imdb.com https://www.imdb.com/title/tt0111309/. Retrieved 14 May 2026. {{cite web}}: Missing or empty |title=
The_Sum_of_Us_(film)
Type of figurate number
− 1 ( 4 k + 1 ) {\displaystyle h_{n}=\sum _{k=0}^{n-1}{(4k+1)}} where the empty sum is taken to be 0. The sum of the reciprocal hexagonal numbers is
Hexagonal_number
Numbers obtained by adding the two previous ones
mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci
Fibonacci_sequence
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
Theorem in arithmetic combinatorics
integers, at least one of the sets A + A and A · A (the sets of pairwise sums and pairwise products, respectively) form a significantly larger set. More
Erdős–Szemerédi_theorem
2026 film by Joe Carnahan
broken down as team members suspect each other of trying to steal a large sum of cash. It was released by Netflix on January 16, 2026, to generally favorable
The_Rip_(film)
Algebra of formal sums
combination of zero basis elements, according to the usual convention for an empty sum, and it must not be possible to find any other combination that represents
Free_abelian_group
2021 studio album by Tantric
The Sum of All Things is the eighth full-length studio album released by the American rock band Tantric. The album was released on July 23, 2021 via Cleopatra
The_Sum_of_All_Things
Number of partitions of an integer
convention p(0) = 1, as there is one way of representing 0 as a sum of positive integers (the empty sum). Furthermore p(n) = 0 when n is negative. The first few
Partition function (number theory)
Partition_function_(number_theory)
Recursive integer sequence
(possibly empty) Dyck words w1 and w2. The generating function for the Catalan numbers is defined by c ( x ) = ∑ n = 0 ∞ C n x n . {\displaystyle c(x)=\sum _{n=0}^{\infty
Catalan_number
Type of vector space in math
n {\displaystyle \sum _{n=0}^{\infty }\mathbf {x} _{n}} consisting of vectors in R3 is absolutely convergent provided that the sum of the lengths converges
Hilbert_space
Node ordering for directed acyclic graphs
a set S; at least one such node must exist in a non-empty (finite) acyclic graph. Then: L ← Empty list that will contain the sorted elements S ← Set of
Topological_sorting
Vast empty spaces between filaments with few or no galaxies
~15% of the average matter density of the universe, the voids look almost empty to an observer. Voids typically have a diameter of 10 to 100 megaparsecs
Void_(astronomy)
Determinant of a product of rectangular matrices
{[n]}{m}}} is the empty set, and the formula says that det ( A B ) = 0 {\displaystyle \det(AB)=0} (its right hand side is an empty sum); indeed in this
Cauchy–Binet_formula
American rap rock band
pop-punk, their aesthetic and subject matter is straight horrorcore. I tried to sum up their sound to a friend by calling it 'Good Charlotte fronted by Insane
Hollywood_Undead
Repeated application of an operation to a sequence
e ) {\displaystyle (S,\star ,e)} is a Monoid, then: Empty product = identity element Empty sum = 0 (in arithmetic monoids) In functional programming
Iterated_binary_operation
Mathematical theorem
For n = 0 this is just the assumed integral inequality, because the empty sum is defined as zero. Induction step from n to n + 1: Inserting the assumed
Grönwall's_inequality
Chinese martial artist (1893–1972)
they had several children: sons Ip Chun and Ip Ching, and daughters Ip Nga-sum (葉雅心) and Ip Nga-wun (葉雅媛).[additional citation(s) needed] During the Second
Ip_Man
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
On the unique representation of integers as sums of non-consecutive Fibonacci numbers
representation of integers as sums of Fibonacci numbers. It states that every positive integer can be represented uniquely as the sum of one or more distinct
Zeckendorf's_theorem
Numeric quantity representing the center of a collection of numbers
purpose. The arithmetic mean, also known as "arithmetic average", is the sum of the values divided by the number of values. The arithmetic mean of a set
Mean
Extension of the domain of an analytic function (mathematics)
of sheaf cohomology. Suppose f is an analytic function defined on a non-empty open subset U of the complex plane C {\displaystyle \mathbb {C} } . If V
Analytic_continuation
Theorem in set theory
index set I is finite. If I is empty, then the left sum is the empty sum and therefore 0, while the right product is the empty product and therefore 1.) Kőnig's
Kőnig's_theorem_(set_theory)
Statistical amount
{x}}={\frac {\sum _{i=1}^{n}\left({\dfrac {x_{i}}{\sigma _{i}^{2}}}\right)}{\sum _{i=1}^{n}{\dfrac {1}{\sigma _{i}^{2}}}}}={\frac {\sum _{i=1}^{n}\left(x_{i}\cdot
Weighted_arithmetic_mean
In mathematics, invariant of square matrices
most common being the Leibniz formula, which expresses the determinant as a sum of n ! {\displaystyle n!} (the factorial of n) signed products of matrix
Determinant
(Mathematical) ring with a unique maximal ideal
then it has a term that is a unit (this says in particular that the empty sum cannot be a unit, so it implies 1 ≠ 0). If these properties hold, then
Local_ring
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)
Mathematics problem
(1-\ln(2))\cdot 1+\sum _{k=\lfloor n/2\rfloor +1}^{N}{\frac {1}{k}}\left(1-{\frac {k}{n}}\right)=1-\ln(2)+\sum _{\lfloor n/2\rfloor +1}^{N}{\frac {1}{k}}-\sum _{k=\lfloor
100_prisoners_problem
Finger-counting system
hour using 4 fingers (1-12) and the minutes using 6 fingers (0-59). 0 = empty sum 1 = 1 2 = 2 4 = 4 6 = 4 + 2 7 = 4 + 2 + 1 14 = 8 + 4 + 2 16 = 16 19 =
Finger_binary
Function related to statistics and probability theory
log-likelihood, given no event, is 0, which corresponds to the value of the empty sum: without any data, there is no support for any models. The graph of the
Likelihood_function
Criterion for the convergence of an infinite series
{1}{n}}+{\frac {1}{n}}\sum _{i=1}^{K-1}{\frac {1}{\prod _{k=1}^{i}\ln _{(k)}(n)}}+{\frac {\rho _{n}}{n\prod _{k=1}^{K}\ln _{(k)}(n)}}.} (The empty sum is assumed
Root_test
Number of integers coprime to and less than n
by Gauss, that ∑ d ∣ n φ ( d ) = n , {\displaystyle \sum _{d\mid n}\varphi (d)=n,} where the sum is over all positive divisors d of n, can be proven in
Euler's_totient_function
Musical comedy drama February 13, 2026 1 season, 8 episodes Pending Maa Ka Sum Drama April 3, 2026 1 season, 8 episodes Pending Matka King Historical crime
List of Amazon Prime Video original programming
List_of_Amazon_Prime_Video_original_programming
Decision problem in computer science
The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers
Subset_sum_problem
Generalizations of '"`UNIQ--math-00000000-QINU`"' in algebraic structures
(f+g)(x)=f(x)+g(x)} The empty set under set union An empty sum or empty coproduct An initial object in a category (an empty coproduct, and so an identity
Zero_element
integer partitions of 45 in which are empty or have smallest part not dividing the other ones 1068 = number that is the sum of 7 positive 5th powers, total
1000_(number)
Better to receive money now than later
there is generally a greater benefit to receiving a sum of money now rather than an identical sum later. It may be seen as an implication of the later
Time_value_of_money
Natural number
into 3 non-empty sets. 301 is the sum of consecutive primes 97, 101, and 103. 301 is a happy number, meaning that infinitely taking the sum of the squares
301_(number)
Finite sets whose elements are all hereditarily finite sets
f(a)=\sum _{b\in a}2^{f(b)}} For example, the empty set { } {\displaystyle \{\}} contains no members, and is therefore mapped to an empty sum, that is
Hereditarily_finite_set
Political party in the United States
the rest of the western world. ... A government seemingly driven by zero-sum ideology and a commitment to reducing international co-operation is one whose
Republican Party (United States)
Republican_Party_(United_States)
American rapper (born 2006)
"Tell U Sum" and "Nosferatu". On June 19, Che released another experimental EP, which is likely a continuation of "Fully Loaded", titled "Empty Clip",
Che_(rapper)
Combinatorial object in representation theory
{\displaystyle k+1} appears in a row strictly below k {\displaystyle k} . The sum of the descents is called the major index of the tableau. There are several
Young_tableau
The Neapolitan sums (Polish: Sumy neapolitańskie) refers to a loan made in 1557 by Bona Sforza, dowager Queen of Poland and Grand Duchess of Lithuania
Neapolitan_sums
Category-theoretic construction
In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces
Coproduct
2010 film by Srđan Spasojević
shoots all but Raša, whom he kills by shoving his erect penis into his empty eye socket. A dying Vukmir praises Miloš's actions as truly worthy of a
A_Serbian_Film
Theorem of convex functions
log ( x i ) n {\displaystyle \log \!\left({\frac {\sum _{i=1}^{n}x_{i}}{n}}\right)\geq {\frac {\sum _{i=1}^{n}\log \!\left(x_{i}\right)}{n}}} exp ( log
Jensen's_inequality
Strategy board game
color to use throughout the game. Players take turns placing one disk on an empty square, with their assigned color facing up. After a play is made, any disks
Reversi
Brazilian footballer (born 1992)
5 million), with Neymar's parents confirmed to have received a €40 million sum. In the aftermath, Barcelona and Bartomeu were charged with tax fraud. Neymar
Neymar
Type of two-dimensional barcode
{\displaystyle \textstyle \sum _{i=0}^{7}b_{i}2^{i}} encodes the field element ∑ i = 0 7 b i α i {\displaystyle \textstyle \sum _{i=0}^{7}b_{i}\alpha ^{i}}
QR_code
Country primarily in Western Europe
Diderot is best known as the main editor of the Encyclopédie, whose aim was to sum up all the knowledge of his century and to fight ignorance and obscurantism
France
Criterion for the convergence of a series
{1}{n}}\sum _{i=1}^{K-1}{\frac {1}{\prod _{k=1}^{i}\ln _{(k)}(n)}}+{\frac {\rho _{n}}{n\prod _{k=1}^{K}\ln _{(k)}(n)}},\quad K\geq 1.} (The empty sum is assumed
Ratio_test
Rational number equal to an integer plus 1/2
{\displaystyle n} is odd. This includes n = 0 {\displaystyle n=0} since the empty sum 0 is not half-integer. The negative of a half-integer is a half-integer
Half-integer
Hong Kong actor, martial artist, and singer (born 1975)
directed by Stephen Chow: as the goalkeeper "Empty Hand" in Shaolin Soccer (2001) and as the Axe Gang boss Brother Sum in Kung Fu Hustle (2004). In 2008, due
Danny_Chan_Kwok-kwan
Data type defined by combining other types
data type is the singly linked list. A list type is a sum type with two variants, Nil for an empty list and Cons x xs for the combination of a new element
Algebraic_data_type
American convicted murderer (born 1949)
Manson followers looked to 14-year-old Family member Dianne Lake as the "empty vessel", the epitome of what women were supposed to be in the Manson system
Leslie_Van_Houten
Quality of ambiguity, disorientation, or state of transition
issues, and gender trouble. The stories, such as "In-Between", "Cogito, Ergo Sum", "The Trap", "Monkey Bath", "DreamCatcher", "Escape to Nowhere", "A Letter
Liminality
Polish war plane
PZL.46 Sum (sheatfish) was a light bomber developed by Państwowe Zakłady Lotnicze shortly before World War II, which, was directed to serial production
PZL.46_Sum
U.S. state
Latino origin are not distinguished between total and partial ancestry. Sum of all 1,813,885 respondents "of foreign stock" (either foreign-born or with
New_York_(state)
Set of elements common to all of some sets
{\displaystyle A\cap B=B\cap A.} The intersection of any set with the empty set results in the empty set; that is, that for any set A {\displaystyle A} , A ∩ ∅ =
Intersection_(set_theory)
Japanese anime and manga series
and illustrated by Akiwo Yasaka, serialized online via Ichijinsha's Zero-Sum Online website since June 2016. It has been collected in twelve tankōbon
Jingai-san_no_Yome
Natural number between 89 and 91
dividing a set of six objects into three non-empty subsets. 90 is also the sixteenth Perrin number from a sum of 39 and 51, whose difference is 12. The members
90_(number)
2007 film by Ethan and Joel Coen
Moss (Brolin), a Vietnam War veteran and welder who stumbles upon a large sum of money in the desert, Anton Chigurh (Bardem), a hitman who is sent to recover
No_Country_for_Old_Men
British yacht racer (1932–1969)
circumnavigation, and a £5,000 cash prize for the fastest. This was then a considerable sum, equivalent to almost £73,000 in 2023. The other contestants were Robin Knox-Johnston
Donald_Crowhurst
2019 single by the Weeknd
the most time totaled in the Hot 100's top three, 21 weeks, equaling the sums of The Chainsmokers' "Closer" and Mark Ronson's "Uptown Funk!". For a short
Blinding_Lights
Arithmetic operation
for direct sums of abelian groups, vector spaces, or modules. For distinguishing direct sums from direct products, the exponent of a direct sum is placed
Exponentiation
1941 Japanese attack on the US
believed that local Japanese could not be trusted. Rear Admiral Chūichi Hara summed up the Japanese result by saying, "We won a great tactical victory at Pearl
Attack_on_Pearl_Harbor
American Founding Father and polymath (1706–1790)
two, three, four or five full centuries, with the resulting astronomical sums to be spent on impossibly elaborate utopian projects. Franklin, who was 79
Benjamin_Franklin
American murderer (born 1989)
claim of improper medicine administration. Hospital staff had found eight empty vials of the sedative propofol, which had not been ordered by any doctors
Grant_Amato
American politician and diplomat (born 1947)
electoral fraud (a voting list entry showing a dozen addresses that was an empty lot) against Republican candidate Richard Nixon; she later volunteered to
Hillary_Clinton
American known for bulldozer rampage (1951–2004)
scrap paper. These ranged from the Docheffs' unwillingness to pay the large sums he requested, the sanitation district's fining of him, and that the town
Marvin_Heemeyer
A {\displaystyle A} . Determinantal conjecture on the determinant of the sum of two normal matrices. Eilenberg–Ganea conjecture: a group with cohomological
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Welsh actor (1925–1984)
he was a communist, saying he felt no contradiction between earning vast sums of money for films and holding left-wing views since "unlike capitalists
Richard_Burton
Object with no referenced value or with defined neutral ("null") behavior
{ int sum = 1; if (bt.getLeft() != null) { sum += size(bt.getLeft()); } if (bt.getRight() != null) { sum += size(bt.getRight()); } return sum; } } This
Null_object_pattern
American singer-songwriter (born 1941)
so that no definitive or ideal version exists. Dylan's legacy will be the sum of thousands of performances, over many decades ... Every night, whether
Bob_Dylan
EMPTY SUM
EMPTY SUM
Boy/Male
Arabic
Empty.
Boy/Male
American, Australian, Danish, French, Jamaican, Latin
Vain; Empty; Poor; Robbed; Hollow
Biblical
den; making empty; watching
Boy/Male
Biblical
Who is empty or exhausted.
Girl/Female
Biblical
Den, making empty, watching.
Boy/Male
Hindu, Indian
Empty
Girl/Female
Muslim
Fruit, Summer fruit
Biblical
empty; temple of the head
Boy/Male
British, English, Spanish
Strong Leader; Empty
Surname or Lastname
English
English : nickname for a foolish or eccentric person, from a diminutive of Foll, from Old French fol ‘mad’, ‘stupid’ (Late Latin follis, originally a noun denoting any of various objects filled with air, but later transferred to vain and empty-headed notions).
Surname or Lastname
English
English : variant of Sumpter.Fort Sumter, SC, was named in honor of Thomas Sumter, known as the ‘Gamecock of the Revolution’ for the fear he inspired in the British and Tory forces and the pivotal role he played in key American victories. Born in 1734 near Charlottesville, VA, he was of Welsh heritage; his ancestors probably emigrated to America in the late 17th century.
Girl/Female
Biblical
Den, cave, making empty.
Surname or Lastname
English
English : occupational name for a carrier, from Middle English sum(p)ter ‘(driver of a) pack animal’.
Boy/Male
Arabic, Australian, German, Greek, Kurdish
Empty; Void
Boy/Male
Tamil
One who is empty, Hollow, Vain
Biblical
who is empty, exhausted;free, empty, exhausted;
Biblical
den; cave; making empty
Boy/Male
Hindu
One who is empty, Hollow, Vain
Girl/Female
Biblical
Void, empty.
Girl/Female
Biblical
Empty, temple of the head.
EMPTY SUM
EMPTY SUM
Boy/Male
Arabic, Muslim
Goodness; Happiness
Male
Hebrew
Variant spelling of Hebrew Yehowyakiyn, YEHOYACHIN means "God establishes."Â
Male
Danish
, divine power.
Surname or Lastname
Swiss and South German
Swiss and South German : variant of Arnold.English : variant spelling of Arnett.
Girl/Female
Hindu, Indian
A Ray
Surname or Lastname
German and Dutch
German and Dutch : from a pet form of the personal name Thomas.English : unexplained.
Boy/Male
Tamil
Sarveshwara | ஸரà¯à®µà¯‡à®·à¯à®µà®°
Lord of all gods
Boy/Male
Muslim/Islamic
Travels by night
Boy/Male
Muslim
Fortunate, Happy
Girl/Female
Arabic American Greek Latin
Father's ornament.
EMPTY SUM
EMPTY SUM
EMPTY SUM
EMPTY SUM
EMPTY SUM
v. t.
To deprive of the contents; to exhaust; to make void or destitute; to make vacant; to pour out; to discharge; as, to empty a vessel; to empty a well or a cistern.
superl.
Destitute of, or lacking, sense, knowledge, or courtesy; as, empty brains; an empty coxcomb.
compar.
of Empty.
a.
To empty.
a.
Empty; frivolous.
a.
Empty.
superl.
Destitute of reality, or real existence; unsubstantial; as, empty dreams.
imp. & p. p.
of Empty
superl.
Producing nothing; unfruitful; -- said of a plant or tree; as, an empty vine.
superl.
Destitute of effect, sincerity, or sense; -- said of language; as, empty words, or threats.
p. pr. & vb. n.
of Empty
v. t.
To empty.
n.
Love of empty of empty talk or noise.
superl.
Containing nothing; not holding or having anything within; void of contents or appropriate contents; not filled; -- said of an inclosure, as a box, room, house, etc.; as, an empty chest, room, purse, or pitcher; an empty stomach; empty shackles.
a.
Empty.
v. t.
To empty.
n.
An empty box, crate, cask, etc.; -- used in commerce, esp. in transportation of freight; as, "special rates for empties."
pl.
of Empty
v. i.
To become empty.
v. t.
To empty.