Search references for BASE CASE. Phrases containing BASE CASE
See searches and references containing BASE CASE!BASE CASE
Topics referred to by the same term
Look up base case in Wiktionary, the free dictionary. Base case may refer to: Base case (recursion), the terminating scenario in recursion that does not
Base_case
1994 journalistic scandal in Brazil
The Escola Base case was an episode of miscarriage of justice and press sensationalism that took place in 1994 in São Paulo, Brazil. The episode consisted
Escola_Base_case
Form of mathematical proof
two cases. The first, the base case, proves the statement for n = 0 {\displaystyle n=0} without assuming any knowledge of other cases. The second case, the
Mathematical_induction
Process of solving new problems based on the solutions of similar past problems
Case-based reasoning (CBR), broadly construed, is the process of solving new problems based on the solutions of similar past problems. In everyday life
Case-based_reasoning
Process of repeating items in a self-similar way
cases toward the base case. For example, the following is a recursive definition of a person's ancestor. One's ancestor is either: One's parent (base
Recursion
Use of functions that call themselves
correct base case is crucial for both theoretical and practical reasons. Some problems have a natural base case (e.g., the empty list is a base case in some
Recursion_(computer_science)
Mathematical proofs of basic properties of addition of the natural numbers
numbers a and b and applying induction on the natural number c. For the base case c = 0, (a + b) + 0 = a + b = a + (b + 0) Each equation follows by definition
Proofs involving the addition of natural numbers
Proofs_involving_the_addition_of_natural_numbers
Algorithm for finding shortest paths
for unvisited nodes, while dist[v] is the actual shortest distance) The base case is when there is just one visited node, source. Its distance is defined
Dijkstra's_algorithm
Algorithms which recursively solve subproblems
improvement in the asymptotic cost of the solution. For example, if (a) the base cases have constant-bounded size, the work of splitting the problem and combining
Divide-and-conquer_algorithm
Paradox arising from an incorrect proof
number of limbs. The argument is proof by induction. First, we establish a base case for one horse ( n = 1 {\displaystyle n=1} ). We then prove that if n {\displaystyle
All_horses_are_the_same_color
1978 crime in New Delhi, India
Dial 100 aired two episodes on Sony TV based on the story, 723 and 724 on 28 February 2018 and 1 March 2018. The case was also shown on the TV series Bhanwar
Geeta and Sanjay Chopra kidnapping case
Geeta_and_Sanjay_Chopra_kidnapping_case
Textual case-based reasoning (TCBR) is a subtopic of case-based reasoning, in short CBR, a popular area in artificial intelligence. CBR suggests the ways
Textual_case-based_reasoning
This is a list of cases before the United States Supreme Court that the Court has agreed to hear and has not yet decided. Future argument dates are in
List of pending United States Supreme Court cases
List_of_pending_United_States_Supreme_Court_cases
Abuse case in California
The Turpin case involved the abuse of children and dependent adults by their biological parents, David and Louise Turpin of Perris, California, US. The
Turpin_case
Divide and conquer sorting algorithm
merge_sort(list m) is // Base case. A list of zero or one elements is sorted, by definition. if length of m ≤ 1 then return m // Recursive case. First, divide the
Merge_sort
Defining elements of a set in terms of other elements in the set
for each natural number n, because the recursion eventually reaches the base case of 0. The definition may also be thought of as giving a procedure for
Recursive_definition
Uppercase or lowercase
common noun and written accordingly in lower case. For example: 1 s (one second) when used for the base unit of time. 1 S (one siemens) when used for
Letter_case
Tool for analyzing divide-and-conquer algorithms
depend on n {\displaystyle n} . The theorem below also assumes that, as a base case for the recurrence, T ( n ) = Θ ( 1 ) {\displaystyle T(n)=\Theta (1)}
Master theorem (analysis of algorithms)
Master_theorem_(analysis_of_algorithms)
Counting from "0" instead of "1" first
hardware design. In computer science, zero is thus often used as the base case for many kinds of numerical recursion. Proofs and other sorts of mathematical
Zero-based_numbering
Court cases from volume 474 of the United States Reports: Supreme Court of the United States (www.supremecourt.gov) United States Supreme Court cases in
List of United States Supreme Court cases, volume 474
List_of_United_States_Supreme_Court_cases,_volume_474
Proof method in mathematical logic
recursive function uses the same idea to define a recursive function: "base cases" handle each minimal structure and a rule for recursion. Structural recursion
Structural_induction
Mathematically obvious
for the value n + 1. The base case is often trivial and is identified as such, although there are situations where the base case is difficult but the inductive
Triviality_(mathematics)
Grammatical case that indicates time
Russian the function of temporal case is assumed by Instrumental, e.g. утр-ом (base form is утро) - in the morning, дн-ём (base form is день) - in the daytime/in
Temporal_case
Process of hardening the surface of a metal object
Case-hardening or carburization is the process of introducing carbon to the surface of a low-carbon iron, or more commonly a low-carbon steel object, to
Case-hardening
Activity of jumping from fixed objects using a parachute
BASE jumping (/beɪs/) is the activity of jumping from fixed objects, using a parachute to descend to the ground. BASE is an acronym that stands for four
BASE_jumping
Valuation separating financing effects
of the project as if it is all-equity financed (so called "base case"). Then the base-case NPV is adjusted for the benefits of financing. Usually, the
Adjusted_present_value
Carcinoma that derives from squamous epithelial cells
2008). "Risk factors for squamous cell carcinoma of the penis--population-based case-control study in Denmark". Cancer Epidemiology, Biomarkers & Prevention:
Squamous-cell_carcinoma
Method for reimbursing health care providers
methodology. Also known as episode-based payment, episode payment, episode-of-care payment, case rate, evidence-based case rate, global bundled payment, global
Bundled_payment
Logic error due to ignoring the base rate
prevalence) in favor of the information pertaining only to a specific case. Base rate neglect is a specific form of the more general extension neglect
Base_rate_fallacy
2009 film by Christian Alvart
Case 39 is a 2009 supernatural horror film directed by Christian Alvart and written by Ray Wright. It stars Renée Zellweger, Jodelle Ferland, Bradley Cooper
Case_39
Programming language
handled with errors } } The empty interface interface{} is an important base case because it can refer to an item of any concrete type. It is similar to
Go_(programming_language)
Nitrogen-containing biological compounds that form nucleosides
for the DNA. The A–T pairing is based on two hydrogen bonds, while the C–G pairing is based on three. In both cases, the hydrogen bonds are between the
Nucleotide_base
Geometric shape
base. In the case of line segments, the cone does not extend beyond the base, while in the case of half-lines, it extends infinitely far. In the case
Cone
2025 murder of an Indian man by his wife in Meghalaya
formed by Meghalaya police to probe the case. Initially treated as a suspected accident or abduction, the case took a dramatic turn when Sonam was arrested
Murder_of_Raja_Raghuvanshi
Defines whether uppercase and lowercase letters are treated as distinct
computers, case sensitivity defines whether uppercase and lowercase letters are treated as distinct (case-sensitive) or equivalent (case-insensitive)
Case_sensitivity
Set of past rulings cited as precedent
Case law is a law that is based on precedents, that is the judicial decisions from previous cases, rather than law based on constitutions, statutes, or
Case_law
Divide and conquer sorting algorithm
a total order) is defined. It is a comparison-based sort since elements a and b are only swapped in case their relative order has been obtained in the
Quicksort
Corruption scandal in Spain
The Koldo Case (Spanish: Caso Koldo) or Ábalos Case (Caso Ábalos), is an ongoing corruption prosecution conducted by the Supreme Court of Spain that began
Koldo_Case
Algorithmic technique
algorithm switches to a naive loop-based summation as a base case, whose error bound is O(Nε). The entire sum has a worst-case error that grows asymptotically
Pairwise_summation
Estimate of cendral tendency
p, r) // Base case for single element if r = p then return a[p] // Base case for two elements // Make sure we return the mean in the case that the two
Weighted_median
Reasoning for mathematical statements
induction, a single "base case" is proved, and an "induction rule" is proved that establishes that any arbitrary case implies the next case. Since in principle
Mathematical_proof
Algorithm to multiply matrices
to equal sizes as possible in the case of odd dimensions. Inputs: matrices A of size n × m, B of size m × p. Base case: if max(n, m, p) is below some threshold
Matrix multiplication algorithm
Matrix_multiplication_algorithm
English filmmaker (born 1968)
direct television commercials. In 1995, he directed a short film, The Hard Case, followed by the crime comedy Lock, Stock and Two Smoking Barrels (1998)
Guy_Ritchie
1976 death of an Indian man in police custody
The Rajan case refers to the death of P. Rajan, a student of the Regional Engineering College, Calicut, as a result of torture in local police custody
Rajan_case
Categorization of nouns and modifiers by function
A grammatical case is a category of nouns and noun modifiers (determiners, adjectives, participles, and numerals) that corresponds to one or more potential
Grammatical_case
short-circuiting the base case, also known as arm's-length recursion. In this case whether the next step will result in the base case is checked before the
Hybrid_algorithm
Military aviation unit
this only applies as long as a wing is stationed at the base. Case in point is Uppsala-Ärna air base, an active military airport but since the tactical unit
Squadron_(aviation)
Topics referred to by the same term
Ghostbusters Space Case (Transformers), a character in Transformers, one of the Cyberjets Space Case, a 2014 book by Stuart Gibbs, from the Moon Base Alpha series
Space_Case
Legal dispute over Mark Rothko's estate
The Rothko case was the protracted legal dispute between Kate Rothko, the daughter of the painter Mark Rothko; the painter's estate executors; and the
Rothko_case
Topics referred to by the same term
film), a 1923 French silent film based on the novel The Blaireau Case (1932 film), a 1932 French comedy drama film based on the novel Adieu Blaireau, a
The_Blaireau_Case
2011 alleged haunting and demonic possession
The Ammons haunting case, also known as the Demon House, is a purported haunting and demonic possession which occurred in Gary, Indiana, in 2011. Latoya
Ammons_haunting_case
1992 murder on Wimbledon Common, London, England
during which a suspect was wrongfully charged and later acquitted—before the case went cold. The detectives involved in arresting the innocent man had rejected
Killing_of_Rachel_Nickell
UK cross-government contingency planning for the possibility of a "no-deal" Brexit
Yellowhammer leaked earlier to The Times was titled "base case" scenario rather than the "reasonable worst case" scenario of the officially published document;
Operation_Yellowhammer
The manga series Case Closed, also known as Detective Conan, features a large cast of fictional characters created by Gosho Aoyama. Set in modern-day Japan
List of Case Closed characters
List_of_Case_Closed_characters
Software configuration management tool
base ClearCase provides a basic infrastructure (UCM is built on base ClearCase). Both can be customized to support a wide variety of needs. ClearCase
IBM_DevOps_Code_ClearCase
Computer fault caused by access to restricted memory
"hello world"; char c = s[20]; Another example is recursion without a base case: int main(void) { return main(); } This code causes the stack to overflow
Segmentation_fault
Conditional statement which is true because the antecedent cannot be satisfied
generally of interest by themselves, but they frequently arise as the base case of proofs by mathematical induction. This notion has relevance in pure
Vacuous_truth
Order-zero graph or any edgeless graph
natural base case for mathematical induction, and similarly, in recursively defined data structures K0 is useful for defining the base case for recursion
Null_graph
In-depth, detailed examination of a particular case
A case study is an in-depth, detailed examination of a particular case (or cases) within a real-world context. For example, case studies in medicine may
Case_study
Family of rifle cartridges
design. U.S. Repeating Arms Company used the same concept and the same base case in creating its even shorter Winchester Super Short Magnum cartridges
Winchester_Short_Magnum
1958 verdict of the Federal Constitutional Court of Germany
proportionality-style "mutual-effect doctrine" (German: Wechselwirkungslehre). The case is cited as BVerfGE 7, 198 and is regarded as the most influential single
Lüth_case
Cohort of voters who support a politician or party
as a party's base in order to gain the party's nomination and thus be guaranteed ballot access. In the case of legislative elections, base voters often
Political_base
1886 novella by Robert Louis Stevenson
Strange Case of Dr Jekyll and Mr Hyde is an 1886 Gothic horror novella by Scottish author Robert Louis Stevenson. It follows Gabriel John Utterson, a London-based
Strange Case of Dr Jekyll and Mr Hyde
Strange_Case_of_Dr_Jekyll_and_Mr_Hyde
Counterterrorist organization in Paris
"German case officers to read information from their own country's law enforcement authorities", which is prohibited by German law. Alliance Base also takes
Alliance_Base
1999 murder in Hong Kong
The Hello Kitty murder case took place in Hong Kong in the spring of 1999, when a nightclub hostess was abducted in Lai Yiu Estate, and subsequently raped
Hello_Kitty_murder_case
American law firm
White & Case LLP is a global white-shoe law firm based in New York City. Founded in 1901, the firm has 46 offices in 31 countries worldwide. The firm was
White_&_Case
Independent home of the case method
The Case Centre is the independent home of the case method, with more than 500 member organisations worldwide. Headquarted at Cranfield University, The
The_Case_Centre
Chemical reaction between an acid and a base
In chemistry, an acid–base reaction is a chemical reaction that occurs between an acid and a base. It can be used to determine pH via titration. Several
Acid–base_reaction
range of uncertainty: base case, best and worst case. Then, assumption for assumption, while keeping the other assumptions at base case, the NPV changes for
Assumption-based_planning
The CASE 30 is an index of the Cairo & Alexandria Stock Exchange in Egypt. It includes the 30 most active stocks in the Egyptian stock market, weighted
CASE_30
2004 French child sexual abuse trial
The Outreau case refers to a criminal case of pedophilia which took place between 1997 and 2000 in Outreau (a French commune) in northern France and a
Outreau_case
2010 decision on Indigenous land rights
Behalf of Endorois Welfare Council v. Kenya, also known as the Endorois case, was a ruling of the African Commission on Human and Peoples' Rights (ACHPR)
Endorois_case
2025 film by Dominik Moll
Case 137 (French: Dossier 137) is a 2025 French crime drama film directed by Dominik Moll, co-written by Moll and Gilles Marchand. It stars Léa Drucker
Case_137
United States Armed Forces base utilized by multiple services
services; one service hosts one or more other services as tenants on the base. In most cases, joint bases have interservice support agreements (ISSAs) to govern
Joint_base
has a simple base case and one or more self-referential variants, the test suite should include a base case and one or more non-base cases, and the program
ProgramByDesign
Physical model of solid metals as electron gases
perturbation analysis, let us first consider the base case to which the perturbation is applied. Here, the base case is U ( x ) = 0 {\displaystyle U(x)=0} , and
Nearly_free_electron_model
Type of algorithm in computer science
f (Just (rec n f)) corec :: (c -> Maybe c) -> c -> CoNat corec f base = case f base of Nothing -> Zero Just x -> Succ (corec f x) Conceptually, CoNat
Corecursion
Italian cause célèbre of the 1850s and 1860s
The Mortara case (Italian: caso Mortara) was an Italian cause célèbre that captured the attention of much of Europe and North America in the 1850s and
Mortara_case
2008 South Korean child rape incident
The Cho Doo-soon case (Korean: 조두순 사건) refers to a December 2008 assault that took place in Ansan, South Korea. An eight-year-old girl known by the pseudonym
Cho_Doo-soon_case
Algorithm for finding the shortest paths in graphs
of the shortest path from s to u with at most i edges. Proof. For the base case of induction, consider i=0 and the moment before for loop is executed
Bellman–Ford_algorithm
U.S. Air Force general officer
Base 'hunters' welcome new commander". 6 July 2017. "New Commanders Nominated for AFCENT, Air National Guard". 11 May 2020. "PN1579 — Maj. Gen. Case A
Case_Cunningham
1991 human trafficking case
The Ameena case was the 1991 selling of a 10-year young girl, Ameena from Hyderabad, India, to a man from Saudi Arabia. The child bride was rescued on
Ameena_case
2017 American film
The Case for Christ is a 2017 American Christian drama film directed by Jon Gunn and written by Brian Bird, based on a true story and inspired by the
The_Case_for_Christ
First documented patient in the population of an epidemiological investigation
in the popular press, but the term's use was based on a misunderstanding (and Dugas was not the index case). In the 1984 study of Centers for Disease Control
Index_case
Nucleic acid pairing variations
Hoogsteen-like base pair. Guanine can form a similar interaction with another purine base, forming a rigid cycle called a guanine tetrad in the case of four
Hoogsteen_base_pair
Type of observational study comparing two existing groups differing in outcome
A case–control study (also known as case–referent study) is a type of observational study in which two existing groups differing in outcome are identified
Case–control_study
Grammatical case for noun addressed
In grammar, the vocative case (abbreviated voc) is a grammatical case which is used for a noun that identifies a person (animal, object, etc.) being addressed
Vocative_case
Lowest limit for erosion processes
in the case of endorheic basins. An example of this is the Messinian salinity crisis, in which the Mediterranean Sea dried up making the base level drop
Base_level
Recursive function for formal verification case testing
101 − 10 = 91 M(n) = M(101) = 91 for 90 ≤ n ≤ 100 can be used as the base case of the induction. For the downward induction step, let n ≤ 89 and assume
McCarthy_91_function
1958 science fiction novel by James Blish
A Case of Conscience is a science fiction novel by American writer James Blish, first published in 1958. It is the story of a Jesuit who investigates an
A_Case_of_Conscience
Capitalization style
case or headline case is a style of capitalization used for rendering the titles of published works or works of art in English. When using title case
Title_case
1966 murder in Kerala, India
Kerala acquitted and freed him purely based on technical grounds dismissing circumstantial evidence in 1967. The case has been so sensational in Kerala that
Madatharuvi_case
Use of mechanosensory systems to sort particles
that the overall recovery is equal or even higher than the one in the base case, meaning that instead of losing product, additional product can be produced
Sensor-based_sorting
American agricultural machinery manufacturer
weeks of 1984 and new Case IH corporate identity arrives in 1985. 1986 Case IH buys North Dakota-based Steiger. 1987 Launch of the Case IH Magnum 7100 range
Case_IH
A group may have a small base compared to the set it acts on. In the "best case", a base can have size 1, as in the case of the additive group of the
Base_(group_theory)
Japanese manga series
Case Closed, also officially known as Detective Conan (Japanese: 名探偵コナン, Hepburn: Meitantei Konan; lit. 'Great Detective Conan'), is a Japanese manga series
Case_Closed
Series of arguments supported by evidences to justify the safety of a system
non-prescriptive and call for an argument-based approach to justify safety, hence why a safety case is required. Safety cases are typically documented in both
Safety_case
American singer-songwriter (born 1970)
airman serving in the United States Air Force, was based in Virginia at the time of her birth. Case's parents, who were teenagers when they had her, are
Neko_Case
semantic values gives the base for considering case roles in a specific language. In addition to its inventory of structural cases, case theory includes a series
Case_role
through September 3, 2005. The cases are listed chronologically based on the date that the Supreme Court decided the case. Booknotes interview with David
List of United States Supreme Court cases by the Rehnquist Court
List_of_United_States_Supreme_Court_cases_by_the_Rehnquist_Court
BASE CASE
BASE CASE
Surname or Lastname
English
English : probably from a Middle English survival of the Old English personal name Bad(d)a, which is of uncertain origin, perhaps a short form of the various compound names with the first element beadu ‘battle’.North German : from a short form of a Germanic personal name composed with badu ‘strife’, ‘battle’.North German : occupational name from Middle Low German bade ‘messenger’.
Surname or Lastname
English
English : variant of Bach 3.Americanized spelling of German or Jewish Basch.Americanized spelling of Slovenian Baš (see Bas 3).
Surname or Lastname
English (East Midlands)
English (East Midlands) : variant of Bayes.
Male
Hindi/Indian
Variant form of Hindi Vasu, BASU means "dweller."
Surname or Lastname
German
German : nickname for a swift runner or a timorous person, from Middle High German, Middle Low German hase ‘hare’.Jewish (Ashkenazic) : ornamental name from German Hase ‘hare’.English : from a Middle English nickname, Hase, from Old English hÄs ‘harsh, raucous, or hoarse voice’.Japanese : usually written with characters meaning ‘long valley’; habitational name from a place in Yamato (now Nara prefecture). Listed in the Shinsen shÅjiroku. Some bearers are descended from the Taira clan; they are found mainly in eastern Japan. Also pronounced Nagaya and Nagatani; the original pronunciation was Hatsuse, meaning ‘beginning of the strait’.
Female
Egyptian
, Child of Bast.
Boy/Male
Muslim
Smiling
Female
Yiddish
(בַ×ש×Ö¶×¢) Variant spelling of Yiddish Basha, BASHE means "daughter of God."
Female
English
English pet form of Greek Barbara, BABE means "foreign; strange." Compare with masculine Babe.
Boy/Male
Tamil
Base
Male
English
Short form of English Basil, BAS means "king" or "basil (the herb)."
Boy/Male
Hindu
Prosperous, Dweller
Surname or Lastname
French and Swiss (French part)
French and Swiss (French part) : metonymic occupational name for a baker, from Old French bise ‘large round loaf’.English and Scottish : perhaps a variant of Biss. Compare Beese, Bice, Buys, Buys.
Male
Hawaiian
Hawaiian name BANE means "long-awaited child."
Boy/Male
American, Australian, British, Dutch, English, French, Irish
Bringer of Peace; Box
Boy/Male
Muslim
Eye-sight, Wisdom, Sight
Boy/Male
Irish English
Observant; alert; vigorous.
Surname or Lastname
English
English : from Anglo-Norman French cas(s)e ‘case’, ‘container’ (from Latin capsa), hence a metonymic occupational name for a maker of boxes or chests.Americanized spelling of French Caisse.Americanized spelling of Kaas.Americanized spelling of German Käse, a metonymic occupational name for a maker or seller of cheese. Compare Kaeser.
Surname or Lastname
English
English : from Old French bas(se) ‘low’, ‘short’ (Latin bassus ‘thickset’; see Basso), either a descriptive nickname for a short person or a status name meaning ‘of humble origin’, not necessarily with derogatory connotations.English : in some instances, from Middle English bace ‘bass’ (the fish), hence a nickname for a person supposedly resembling this fish, or a metonymic occupational name for a fish seller or fisherman.Scottish : habitational name from a place in Aberdeenshire, of uncertain origin.Jewish (Ashkenazic) : metonymic occupational name for a maker or player of bass viols, from Polish, Ukrainian, and Yiddish bas ‘bass viol’.German : see Basse.
Boy/Male
Indian
Base
BASE CASE
BASE CASE
Girl/Female
Tamil
Gurbani | கà¯à®°à®ªà®¾à®¨à¯€
Sikhs religious prayer
Surname or Lastname
English
English : from Middle English haue, habbe ‘(may he/you) have’ + god ‘good’, perhaps a nickname for someone who habitually used this phrase.
Boy/Male
Tamil
Trishoolin | தà¯à®°à¯€à®·à¯‚லீந
One who has a trident in his hands, Lord Shiva
Girl/Female
Indian, Kannada, Tamil
Goddess
Girl/Female
Hindu, Indian
Bullet
Male
Egyptian
, the living Horus.
Girl/Female
Arabic, Muslim
Daily Wages; Pension; Reward
Girl/Female
Christian & English(British/American/Australian)
Angelic
Girl/Female
Indian, Punjabi, Sikh
Gods Lover
Boy/Male
Tamil
Lord Krishna
BASE CASE
BASE CASE
BASE CASE
BASE CASE
BASE CASE
pl.
of Bass
a.
Having a base, or having as a base; supported; as, broad-based.
a.
Not held by honorable service; as, a base estate, one held by services not honorable; held by villenage. Such a tenure is called base, or low, and the tenant, a base tenant.
n.
A rustic play; -- called also prisoner's base, prison base, or bars.
n.
A box and its contents; the quantity contained in a box; as, a case of goods; a case of instruments.
a.
Deep or grave in sound; as, the base tone of a violin.
a.
To abase; to let, or cast, down; to lower.
a.
Of little, or less than the usual, height; of low growth; as, base shrubs.
n.
A box, sheath, or covering; as, a case for holding goods; a case for spectacles; the case of a watch; the case (capsule) of a cartridge; a case (cover) for a book.
a.
Alloyed with inferior metal; debased; as, base coin; base bullion.
v. t.
To strip the skin from; as, to case a box.
n.
Same as Prison base.
a.
Morally low. Hence: Low-minded; unworthy; without dignity of sentiment; ignoble; mean; illiberal; menial; as, a base fellow; base motives; base occupations.
imp. & p. p.
of Base
n.
The number from which a mathematical table is constructed; as, the base of a system of logarithms.
n.
An inclosing frame; a casing; as, a door case; a window case.
n.
Species of Serranus, the sea bass and rock bass. See Sea bass.
n., a., & v.
See Base.
n.
That which befalls, comes, or happens; an event; an instance; a circumstance, or all the circumstances; condition; state of things; affair; as, a strange case; a case of injustice; the case of the Indian tribes.