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See searches and references containing STRICT DIFFERENTIABILITY!STRICT DIFFERENTIABILITY
In mathematics, strict differentiability is a modification of the usual notion of differentiability of functions that is particularly suited to p-adic
Strict_differentiability
Degree of differentiability of a function or map
This should be distinguished from complex differentiability: a complex function that is complex differentiable on an open subset of C {\displaystyle \mathbb
Smoothness
Residence and administrative headquarters of a monarchy
there often have been large numbers of employees in the household, strictly differentiated by rank, from nobles with highly sought-after positions that gave
Royal_household
Fundamental construction of differential calculus
topological vector spaces. Fréchet differentiability is a strictly stronger condition than Gateaux differentiability, even in finite dimensions. Between
Generalizations of the derivative
Generalizations_of_the_derivative
Calvinist strand of the Baptist denomination
congregationalist polity, differentiating from other Reformed Baptist groups that share the same Calvinist soteriology. The Strict Baptists arose in England
Reformed_Baptists
Concept in developmental psychology
philosophy and the Frankfurt School into the framework, making a strict differentiation between social–emotional and cognitive development. Kegan (1982)
Constructive developmental framework
Constructive_developmental_framework
Real function with secant line between points above the graph itself
function is also strictly convex, but not vice versa. If a one-dimensional function f {\displaystyle f} is twice continuously differentiable and the domain
Convex_function
Networking architecture for prioritizing traffic
for voice, video and other realtime services. EF traffic is often given strict priority queuing above all other traffic classes. Because an overload of
Differentiated_services
Function that is continuous everywhere but differentiable nowhere
is differentiable except on a set of isolated points. Weierstrass's demonstration that continuity did not imply almost-everywhere differentiability upended
Weierstrass_function
Largest and smallest value taken by a function at a given point
derivative test, or higher-order derivative test, given sufficient differentiability. For any function that is defined piecewise, one finds a maximum (or
Maximum_and_minimum
United States legal philosophy in which judges must interpret laws exactly as written
In the United States, strict constructionism is a particular legal philosophy of judicial interpretation that limits or restricts the powers of the federal
Strict_constructionism
Notation of differential calculus
378 S.B. Engelsman has given more strict definitions in Families of Curves and the Origins of Partial Differentiation (2000), pp. 223-226 Newton's notation
Notation_for_differentiation
Emotion
find an unambiguous term. Classical Latin used invidia, without strictly differentiating between envy and jealousy. It was not until the postclassical era
Jealousy
Flouting social norms for religious purposes
of those holy men," who lives by himself in the forest. Kasyan strictly differentiates between eating bread ("God's gift to man") and "tame creatures"
Foolishness_for_Christ
Concept in the philosophy of mathematics
the absolute, about which he affirmed: These concepts are to be strictly differentiated, insofar the former is, to be sure, infinite, yet capable of increase
Actual_and_potential_infinity
Preparations of fruits, sugar, and sometimes acid
the fruit. In the English-speaking world, the two terms are more strictly differentiated and, when this is not the case, the more usual generic term is
Fruit_preserves
Technique to make a model more generalizable and transferable
problem, the L 1 {\displaystyle L_{1}} norm is convex but is not strictly differentiable due to the kink at x = 0. Subgradient methods which rely on the
Regularization_(mathematics)
Medieval stage of the Greek language
angel) or ἀγάπη [aˈɣapi] 'love' → 'altruistic love', which is strictly differentiated from ἔρως [ˈeros], ('physical love'). In everyday usage, some old
Medieval_Greek
Responsibility for consequences from activity despite absence of fault or criminal intent
In criminal and civil law, strict liability is a standard of liability under which a person is legally responsible for the consequences flowing from an
Strict_liability
Concept in real analysis
function is strictly increasing over the open interval), or the derivative is entirely negative (which implies the function is strictly decreasing over
Continuously differentiable function of a single real variable
Continuously_differentiable_function_of_a_single_real_variable
United Nations principle on climate change
countries' responsibilities. Industrialized (Annex 1) countries had to observe strict limits on emissions, while other countries did not. Under the Paris Agreement
Common But Differentiated Responsibilities
Common_But_Differentiated_Responsibilities
Belief that there is only one God
Nasadiya Sukta. Later, ancient Hindu texts appear to be monist, but were not strictly monotheistic in worship, because it still maintained the existence of many
Monotheism
Order-preserving mathematical function
concept called strictly decreasing (also decreasing). A function with either property is called strictly monotone. Functions that are strictly monotone are
Monotonic_function
songs. Despite their unique features, these directions were not strictly differentiated and represented mutual influences within the framework of the unified
Ancient_Armenian_poetry
Albert Einstein's hypothetical situations to argue scientific points
or the other of the two bodies is the one in motion, are to be strictly differentiated from each other. For if the magnet is in motion and the conductor
Einstein's thought experiments
Einstein's_thought_experiments
German philosopher and Thomist (1903–1963)
implicitly. Aquinas's great achievement, for Siewerth, lay in his strict differentiation between a being (ens) and that from which it is constituted (esse)
Gustav_Siewerth
Torai is Zenkichi's General Affairs Manager during his presidency. Very strict and business-orientated, she brushes aside the prospect of six missing students
List_of_Medaka_Box_characters
Non-usage of animal products
unsustainable. "Dietary veganism", whose practitioners are also known as "strict vegetarians", refrain from consuming meat, eggs, dairy products, and any
Veganism
Type of programming language
and computational mathematics, such as C, C++, Python, and Java. In a stricter sense, it designates languages that are designed and optimized for handling
Scientific programming language
Scientific_programming_language
Transparent, yellow variety of quartz
actually heat-treated amethyst and is therefore not true citrine according the strict mineralogical definition. Amethyst loses its natural violet color when heated
Citrine
Dutch psychic (1898–1952)
a strict hierarchy in the animal kingdom, with humans at the top, and other animal species below. Throughout his texts, he strictly differentiates between
Jozef_Rulof
childish, and a bit selfish, but he does care about everyone. He can be strict at times, especially about Chase, Adam, and Bree's training or missions
List_of_Lab_Rats_characters
Markup language for documents
HTML 4.01//EN" "https://www.w3.org/TR/html4/strict.dtd"> This declaration references the DTD for the "strict" version of HTML 4.01. SGML-based validators
HTML
Kang in the late Jerrod's memory. Though she is a just ruler, Sindel is strict in preparing Mileena to succeed her and becomes more determined to protect
Characters of the Mortal Kombat series
Characters_of_the_Mortal_Kombat_series
Process by which organisms develop cells
cells into germ cells is fundamental for meiosis and recombination. The strict division between somatic and germ cells is called the Weismann barrier,
Germ-Soma_Differentiation
counter-terrorism expert for the private security forces. He believes in strict adherence to the law and views outlaws as nothing more than common criminals
List of Outlaw Star characters
List_of_Outlaw_Star_characters
shape and colour resemble pig liver. Traditional Teochew cuisine strictly differentiates between salty chai poh (咸菜脯) and sweet chai poh (甜菜脯, aka sweetened
Chai_Poh
Method for finding the extrema of a function
second-derivative test is inconclusive. Bordered Hessian Convex function Differentiability Fermat's theorem (stationary points) Inflection point Karush–Kuhn–Tucker
Derivative_test
Study of curves from a differential point of view
γ is a regular C1-curve, i.e. γ' is everywhere non-zero, then s(t) is strictly increasing and thus has an inverse, t(s). That inverse can be used to define
Differentiable_curve
Mathematical functions which are smooth but not analytic
g. Chapter V, Section 2, Theorem 2.8 and Corollary 2.9 about the differentiability of the limits of sequences of functions in Amann, Herbert; Escher
Non-analytic_smooth_function
Spiritualist church organization
practicing, and contemporary orthodox Christianity, which they strictly differentiate from both primitive Christianity and Spiritualism. The NSAC is a
National Spiritualist Association of Churches
National_Spiritualist_Association_of_Churches
is a bit of a different color. She is usually sweet and caring, but is strict and commanding when it comes to work. Her attitude toward work and her ability
List of Kyo Kara Maoh! characters
List_of_Kyo_Kara_Maoh!_characters
April 2005). "Slime-mold beetles named for Bush, Cheney, Rumsfeld – but strictly in homage". Cornell Chronicle. Heard, Stephen B. (2020). Charles Darwin's
List of organisms named after famous people (born 1925–1949)
List_of_organisms_named_after_famous_people_(born_1925–1949)
1819–1821 expedition to explore the Southern Ocean and Antarctica
on the contrary, trying to attract them with caress, and never apply too strict measures, unless in necessary cases, when the salvation of the people entrusted
First Russian Antarctic Expedition
First_Russian_Antarctic_Expedition
stricto cf. stricto sensu "with the tight meaning" Less literally, "in the strict sense". sensus plenior in the fuller meaning In biblical exegesis, the deeper
List_of_Latin_phrases_(full)
Generalization of category theory
concept is too strict for some purposes in for example, homotopy theory, where "weak" structures arise in the form of higher categories, strict cubical higher
Higher_category_theory
Tadakatsu Honda, who is one of the four divine Matsudaira kings. Due to strict training from her father, she became a skilled fighter, although she was
List of Horizon in the Middle of Nowhere characters
List_of_Horizon_in_the_Middle_of_Nowhere_characters
2024 Hong Kong film by Philip Yung
2025). "At The Movies: Papa tells a heart-rending story, In The Lost Lands strictly for Resident Evil fans". The Straits Times. Archived from the original
Papa_(2024_film)
trusted. Still, Ai cares deeply for her friends, especially Ueki. She is strict with him at times, especially when he looks like he is about to do something
List of The Law of Ueki characters
List_of_The_Law_of_Ueki_characters
Music that lacks a tonal center or key
'free atonal' music. ... Thus, many useful and crucial insights about even strictly serial music depend only on such basic atonal theory". Late 19th- and early
Atonality
yōkai deeds and decided to set himself firmly on the path of living a strictly human life. Since then, he has attempted to become more like a normal human
List of Nura: Rise of the Yokai Clan characters
List_of_Nura:_Rise_of_the_Yokai_Clan_characters
Traditionally, the time of day functioned as a narrative complement rather than a strict chronological reference. Until the 19th century, before the development
Light_in_painting
Intelligence of machines
of its Unit 2 reactor in 1979, will require Constellation to get through strict regulatory processes which will include extensive safety scrutiny from the
Artificial_intelligence
bait Eric into a fight or some other violation of the vampire hierarchy's strict protocols. He's killed by Sookie with the assistance of many of the local
List of The Southern Vampire Mysteries characters
List_of_The_Southern_Vampire_Mysteries_characters
for seventeen years and had talent skills of swordsmanship. Her unnamed strict father gave her training; however, she hates being restricted by the rules
List of In Another World with My Smartphone characters
List_of_In_Another_World_with_My_Smartphone_characters
2016–2019 Brazilian presidential administration
tranquility of institutions. He also said that he would have to establish strict criteria for appointing the heads of pension funds and state-owned companies
Presidency_of_Michel_Temer
Fantasy book series by David Farland
However, their service is completely focused upon observation, with a strict policy of noninterference – even in the face of cataclysmic war they would
The_Runelords
Ethnic cleansing of Palestinians
first day of the 1956 Suez Crisis. Palestinians in Israel remained under strict martial law until 1966. During the 1967 Six-Day War, hundreds of thousands
Nakba
Iron Age culture in central Italy
infant burials. During the Latial period I, the Latial culture observed a strict distinction between a type of "Warrior" burial exclusive to biologically
Latial_culture
Hypothesis that strict environmental regulations can spur innovation
According to the Porter hypothesis, strict environmental regulations can induce efficiency and encourage innovations that help improve commercial competitiveness
Porter_hypothesis
Mathematical theorem
common sufficient condition (but not a necessary one) to ensure twice-differentiability in this sense. An example of non-symmetry is the function (due to
Symmetry of second derivatives
Symmetry_of_second_derivatives
Negative of a convex function
convex sets. A differentiable function f is (strictly) concave on an interval if and only if its derivative function f ′ is (strictly) monotonically decreasing
Concave_function
Ongoing Indian LGBT rights case law
Supreme Court held that judicial scrutiny to weave out discrimination must be strict in Anuj Garg v. Hotel Association of India (2007). The Supreme Court held
Supriyo_v._Union_of_India
Word meaning 'non-Jew'
(because of concepts like the Trinity) but not Muslims who he saw as more strictly monotheistic. Goy can be used in a derogatory manner. The Yiddish lexicographer
Goy
About mathematical functions
concepts of a sentential [propositional] and of a designatory function .... Strictly speaking ... [these] do not belong to the domain of logic or mathematics;
History of the function concept
History_of_the_function_concept
(English) Miku is an exorcist with long, pink, curly hair. She expresses strict responsibility as a Heavenly Commander and executes missions in cleansing
List of Twin Star Exorcists characters
List_of_Twin_Star_Exorcists_characters
British politician (born 1980)
introduce a new immigration policy under her leadership which will include a "strict numerical cap" on immigration, tightening access to British passports and
Kemi_Badenoch
27-day annual pilgrimage by Hindus
attended by emperors, kings, and esteemed individuals from various regions. Strict adherence to etiquette was expected. Brahma refrained from standing, being
Kottiyoor_Vysakha_Mahotsavam
Economic theory
group with few weak ties branching outside to other groups. Strict churches arise from strict doctrines and can be in many forms such as large churches
Theory_of_religious_economy
Operation in mathematical calculus
addition, if the inequality between functions is strict, then the inequality between integrals is also strict. That is, if f(x) < g(x) for each x in [a, b]
Integral
Strong form of uniform continuity
following chain of strict inclusions for functions over a closed and bounded non-trivial interval of the real line: Continuously differentiable ⊂ Lipschitz continuous
Lipschitz_continuity
points of view in that they had the same basic body plan but could be differentiated by one or two distinguishing accessories. According to Spirou magazine
List_of_The_Smurfs_characters
American multinational technology conglomerate
Kang, Cecilia (December 27, 2015). "F.A.A. Drone Laws Start to Clash With Stricter Local Rules". The New York Times. ISSN 0362-4331. Archived from the original
Amazon_(company)
1936 military plot
Claves. Esclareciendo dudas, Mola firmly underlined that the coup was to be strictly military, with no civilians or politicians admitted to decision-making
Spanish military conspiracy of 1936
Spanish_military_conspiracy_of_1936
Paths of particles in the Schwarzschild solution to Einstein's field equations
by massless particles such as the photon), the proper time is zero and, strictly speaking, cannot be used as the variable q {\textstyle q} . Nevertheless
Schwarzschild_geodesics
Species of radiotrophic fungus
the physiological and habitat regularities of C. sphaerospermum in the strict sense. This fungus is most phylogenetically similar to C. fusiforme. According
Cladosporium_sphaerospermum
Smooth approximation to the maximum function
x_{n}\}}+\log(n).} The first inequality is strict unless n = 1 {\displaystyle n=1} . The second inequality is strict unless all arguments are equal. (Proof:
LogSumExp
Traditional religion of Lakota people
peyotism of the Native American Church. Other Lakota identify themselves strictly with just one religion, with this particularly the case for Christian fundamentalists
Lakota_religion
Sexual identity-neutral term
physician. Medical research on women's health often lacks differentiation between WSW and strictly-heterosexual women, which skews results towards the majority
Women_who_have_sex_with_women
West Germanic language
information (topic) precedes the new information (comment). Because of the strict SVO syntax, the topic of a sentence generally has to be the grammatical
English_language
American multinational technology company
Cook, who had a background in supply-chain management. Apple is known for strictly enforcing accountability. Each project has a "directly responsible individual"
Apple_Inc.
Case study
presentation during 1972 Fromkin said that by November 1971 Genie's speech was, "strictly rule-governed", and that her grammar at that time was similar to a typical
Linguistic development of Genie
Linguistic_development_of_Genie
History of a philosophical school
of empirical differences between the pleasures and pains in life. In a strictly temporal aspect, the most intense pleasures that can be experienced are
History of philosophical pessimism
History_of_philosophical_pessimism
Marrying within a specific ethnic group, class, or social group
small in size. The Urapmin, a small tribe in Papua New Guinea, practice strict endogamy. The Urapmin also have a system of kinship classes known as tanum
Endogamy
Hybrid video game console
2025. Retrieved June 29, 2025. O'Reilly, PJ (June 23, 2025). "Nintendo's Strict Policy On MiG Carts Is Creating A Problem For Secondhand Switch 2 Buyers"
Nintendo_Switch_2
Hormonal disorder in women
Excess Society criteria were never widely adopted. The old NIH criteria are stricter than the Rotterdam criteria, as both infrequent or irregular cycles and
Polyendocrine metabolic ovarian syndrome
Polyendocrine_metabolic_ovarian_syndrome
Freshwater stingrays are generally non-aggressive, and the stingers are used strictly in self-defense. As a consequence injuries typically occur when bathers
Animal attacks in Latin America
Animal_attacks_in_Latin_America
Research, p. 47, The argument of the section is clear: while adhering strictly to the preference for flowing water and baptism by immersion, necessary
Baptism_in_early_Christianity
Area of study on cultural group origins
considering the earliest theories which were ideologically constructed on a strictly anti-Celtic basis. Beard 1932. "Myths of British ancestry". Prospect. 20
Historiography of the Anglo-Saxon settlement of Britain
Historiography_of_the_Anglo-Saxon_settlement_of_Britain
Ynetnews. Retrieved 2008-09-30. The chief of staff's policy states that it is strictly forbidden to harm or hurt anyone's dignity or feeling based on their gender
Sexual orientation and military service by country
Sexual_orientation_and_military_service_by_country
Set of religion-based dietary rules
most rigorous dietary frameworks on the Indian subcontinent. The diet strictly prohibits the consumption of meat, fish, eggs, alcoholic beverage, and
Jain_vegetarianism
Theory in communications
explore how different expectancy violations (like talkativeness, humor, strictness) interact with dimensions of instructor credibility and how cultural factors
Expectancy_violations_theory
healthier choices by sharing research and personal stories. It also calls for stricter regulation of alcohol to reduce its societal harm. This initiative is part
Alcohol_and_society
Israeli molecular biophysicist
substrings of certain length are present in the sequence. Trifonov strictly differentiates between two notions: curvature a property of free DNA which has
Edward_Trifonov
factors such as the themes and frequency of such programming, rather than strictly follow whether programs air in daytime or primetime. Among the major changes
2021_in_American_television
Country in South Asia
for married adults, depending on marital status, age, sanity, and whether strict evidentiary requirements for a hadd punishment—such as four adult male Muslim
Pakistan
French literary genre
acknowledge the existence of the "merveilleux scientifique" theme but rather strictly defines and elevates it to a distinct literary genre. In his opinion, the
Merveilleux_scientifique
Biological part involved in sexual reproduction
physiologies, and behaviors involved in copulation, male genitalia are more strictly defined as "all male structures that are inserted in the female or that
Sex_organ
Narrative with imaginary elements
entirely imaginary universe or one in which the laws of nature do not strictly apply (often, the sub-genre of fantasy). Or, it depicts true historical
Fiction
and blue eyes. In penance for his earlier sins, Abel now adheres to a strict principle of pacifism and has taken a vow not to kill unless he absolutely
List of Trinity Blood characters
List_of_Trinity_Blood_characters
STRICT DIFFERENTIABILITY
STRICT DIFFERENTIABILITY
Boy/Male
American, Australian, British, English, Welsh
Severe; Strict; Boundary
Boy/Male
American, British, English
Severe; Strict
Female
Hebrew
(שָׂרַית) Diminutive form of Hebrew Sarah, SARIT means "noble lady, princess."
Surname or Lastname
English (southwest and South Wales)
English (southwest and South Wales) : metonymic nickname for a cunning or crafty person, from Middle English trick ‘strategem’, ‘device’ (from a Norman form of Old French triche).
Boy/Male
Australian, French, Italian, Spanish
Strict; Restrained; Stern; Severe
Boy/Male
Arabic, Muslim
Lion; Difficult; Strict
Surname or Lastname
English
English : variant spelling of Street.
Surname or Lastname
English
English : from Middle English stride ‘(long) pace’ (from stride(n) ‘to walk with long steps’), presumably a nickname for someone with long legs or whose gait had a purposeful air, although Reaney and Wilson suggest it may also have been a topographic name for someone who lived by a crossing point over a stream, presumably no wider than a stride. They cite as an example a place known as The Strid, in North Yorkshire.
Surname or Lastname
English (Cornwall)
English (Cornwall) : perhaps, as Reaney suggests, a variant of Strutt.
Surname or Lastname
English
English : topographic name for someone who lived on or by a strip of land, Old English strīp.
Surname or Lastname
English
English : of uncertain origin, probably from the Old Norse byname Strútr (from a vocabulary word referring to a cone-like ornament on a headdress or cap). Alternatively it may be a nickname for an argumentative person, from Middle English strut(t) ‘quarrel’.German : topographic name from Middle High German struot, strūt ‘brush’, ‘thicket’, ‘swamp’, or a habitational name from any of several places named Struth with this word.
Boy/Male
English
Strict. Restrained. Surname.
Surname or Lastname
English
English : nickname from Middle English streit ‘narrow’, ‘strict’ (Anglo-Norman French estreit).German and Jewish (Ashkenazic) : nickname for a quarrelsome person, from Middle High German strīt, German Streit ‘strife’, ‘argument’.
Boy/Male
Spanish
Strict; restrained.
Boy/Male
Hindu, Indian
Morally Strict; Simple
Boy/Male
Afghan, Australian
Strict
Female
French
French form of Latin Viatrix, BÉATRICE means "voyager (through life)."
Boy/Male
English
Strict. Restrained. Surname.
Surname or Lastname
English
English : metonymic occupational name from Middle English strike, the stick used by a Striker.
Surname or Lastname
English
English : habitational name from any of the various places, for example in Hertfordshire, Kent, and Somerset, so named from Old English strǣt ‘paved highway’, ‘Roman road’ (Latin strata (via)). In the Middle Ages the word at first denoted a Roman road but later also came to denote the main street in a town or village, and so the surname may also have been a topographic name for someone who lived on a main street.Jewish : Americanized form of the Sephardic surname Chetrit, of uncertain origin.Americanized form of Ashkenazic Jewish Strasser and a number of other similar surnames.The Rev. Nicholas Street (1603–74) came from England to Taunton, MA, between 1630 and 1638, and later moved to New Haven, CT, where his descendant Augustus Russell Street, a leader in art education, was born in 1791 and went on to become one of the most important early benefactors of Yale College.
STRICT DIFFERENTIABILITY
STRICT DIFFERENTIABILITY
Girl/Female
Spanish American
Good.
Boy/Male
Hindu
Leader of all human beings, King of men, The king
Boy/Male
Hebrew Biblical
Festival.
Boy/Male
Tamil
Avnendra | அவà¯à®¨à¯‡à®¨à¯à®¤à¯à®°Â
Angel of God on earth, King of the earth
Girl/Female
American, Anglo, Australian, British, Chinese, Christian, Danish, English, French, German, Gothic, Greek, Gujarati, Hindu, Indian, Irish, Jamaican, Kannada, Malayalam, Welsh
Pearl; Strong and Capable; Strong; Great; Diminutive of Margaret; Margaret
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
One with a White Horse
Male
Yiddish
 Variant spelling of Yiddish Lieber, LIBER means "beloved." Compare with another form of Liber.
Boy/Male
Hindu
One of the kauravas
Female
German
Danish, German and Norwegian form of Latin Carolina, KAROLINE means "man."
Biblical
the everlastingabbreviation of Jehovah
STRICT DIFFERENTIABILITY
STRICT DIFFERENTIABILITY
STRICT DIFFERENTIABILITY
STRICT DIFFERENTIABILITY
STRICT DIFFERENTIABILITY
a.
Governed or governing by exact rules; observing exact rules; severe; rigorous; as, very strict in observing the Sabbath.
a.
Close; narrow; strict.
v. t.
To deprive of strings; to strip the strings from; as, to string beans. See String, n., 9.
a.
Strained; drawn close; tight; as, a strict embrace; a strict ligature.
imp.
of Strike
adv.
In a strict manner; closely; precisely.
a.
Rigidly; interpreted; exactly limited; confined; restricted; as, to understand words in a strict sense.
n.
Strife; contention.
n.
See Astrict, and Astriction.
v. t.
To bind; to constrain; to restrict; to limit.
a.
Exact; accurate; precise; rigorously nice; as, to keep strict watch; to pay strict attention.
v. t.
To put on a string; to file; as, to string beads.
adv.
Strictly; rigorously.
a.
Tense; not relaxed; as, a strict fiber.
n.
Ostrich.
v. t.
To restrict the tenure of; as, to astrict lands. See Astriction, 4.
superl.
Strict; scrupulous; rigorous.
p. p.
of Strike
v. t.
To come in collision with; to strike against; as, a bullet struck him; the wave struck the boat amidships; the ship struck a reef.