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logic, focused proofs are a family of analytic proofs that arise through goal-directed proof-search, and are a topic of study in structural proof theory
Focused_proof
Branch of mathematical logic
are focused proofs which characterise a large family of goal-directed proof-search procedures. The ability to transform a proof system into a focused form
Proof_theory
Proof assistant and programming language
Lean is a proof assistant and a functional programming language. It is based on the calculus of constructions with inductive types. It is a free and open-source
Lean_(proof_assistant)
Realization of a certain method or idea in order to demonstrate its feasibility
A proof of concept (POC or PoC), also known as proof of principle, is an inchoate realization of a certain idea or method in order to demonstrate its feasibility
Proof_of_concept
American play
Proof is a play by the American playwright David Auburn. Proof was developed at George Street Playhouse in New Brunswick, New Jersey, during the 1999 Next
Proof_(play)
Formal argument for the existence of God
Gödel's ontological proof is a formal argument by the mathematician Kurt Gödel (1906–1978) for the existence of God. The argument is in a line of development
Gödel's_ontological_proof
Detection of errors in transcribed text
Proofreading is a phase in the process of publishing where galley proofs are compared against the original manuscripts or graphic artworks, to identify
Proofreading
Designed to be proof against misuse or error
completely eliminate quality control inspections. Early approaches to idiot-proofing focused on preventing mistakes during operation by designing systems that made
Idiot-proof
1995 publication in mathematics
Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Andrew Wiles of a special case of the modularity theorem for elliptic curves
Wiles's proof of Fermat's Last Theorem
Wiles's_proof_of_Fermat's_Last_Theorem
2011 American medical drama television series
Body of Proof is an American medical/crime comedy-drama television series that ran on American Broadcasting Company from March 29, 2011, to May 28, 2013
Body_of_Proof
American actor, comedian and online content creator
also hosted livestream and video content focused on pop culture and live-stream production. In 2009–2010, Proof participated in Ford's Fiesta Movement social-media
Sam_Proof
Private school in San Francisco, California, USA
Proof School is a secondary school in San Francisco that offers a mathematics-focused liberal arts education. Currently, 130 students in grades 6–12 are
Proof_School
Argument that leads to a logical absurdity
sense, proof by contradiction is also known as indirect proof, proof by assuming the opposite, and reductio ad impossibile. G. H. Hardy described proof by
Reductio_ad_absurdum
Studios. It mainly focuses around Dana Delany's character Megan Hunt. During the course of the series, 42 episodes of Body of Proof aired over three seasons
List of Body of Proof episodes
List_of_Body_of_Proof_episodes
Relation between sides of a right triangle
most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years
Pythagorean_theorem
Cryptocurrency aimed at privacy
Zcash is a privacy-focused cryptocurrency which features an encrypted ledger using zero-knowledge proofs. Launched in October 2016, Zcash was developed
Zcash
Planning and building for time to come
Future-proofing (also futureproofing) is the process of anticipating the future and developing methods of minimizing the effects of shocks and stresses
Future-proof
Bassmint Productions & Proof - Artificial Flavour 1995 Soul Intent - Fuckin' Backstabber 1995 Proof & Goon Sqwad - Good Lookin' 1996 Proof & Bombshell - Introduction
Proof_discography
Incubator for philanthropic ventures
these fields with a structure they call Focused Research Organizations (FROs). As of 2023, there are 7 FROs. A Focused Research Organization, or FRO, is a
Convergent_Research
Mathematical proof at least partially generated by computer
computer-assisted proof is a mathematical proof that has been at least partially generated by computer. Most computer-aided proofs to date have been implementations
Computer-assisted_proof
Interactive theorem proving systems
An introduction to mathematical logic and type theory: to truth through proof. Applied Logic Series. Vol. 27 (Second ed.). Dordrecht: Kluwer Academic
HOL_(proof_assistant)
Way of arriving to a mathematical proof
proved. Proof methods that are not direct include proof by contradiction, including proof by infinite descent. Direct proof methods include proof by exhaustion
Direct_proof
2015 studio album by Will Young
the ones he loved for the record. According to Young, 85% Proof "is largely upbeat" and focused on making audiences happy with songs like "Brave Men", "Love
85%_Proof
Planar maps require at most four colors
this proof was not accepted by all mathematicians because the computer-assisted proof was infeasible for a human to check by hand. The proof has gained
Four_color_theorem
Optical imaging rule
as shown in the section Proof of the Scheimpflug principle. When the lens and image planes are not parallel, adjusting focus rotates the PoF rather than
Scheimpflug_principle
Privacy-focused cryptocurrency
Transactions are validated through a miner network running RandomX, a proof-of-work algorithm. The algorithm issues new coins to miners and was designed
Monero
American gun violence prevention organization
program that effectively promoted awareness of safe storage. The Suicide-Proofing Initiative was launched in September 2011 in partnership with the Rhode
The Center to Prevent Youth Violence
The_Center_to_Prevent_Youth_Violence
Form of body armor that protects the torso from some projectiles
1590 Henry Lee of Ditchley expected his Greenwich armour to be "pistol proof". Its actual effectiveness was controversial at the time. During the English
Bulletproof_vest
Unsolved problem in computer science
because such a proof will almost surely be nonconstructive. A proof of P ≠ NP would lack the practical computational benefits of a proof that P = NP, but
P_versus_NP_problem
Philosophical question
proof for the existence of God lies with the theist rather than the atheist; it can be considered an extension of Occam's Razor. Some arguments focus
Existence_of_God
American neurosurgeon (born 1953)
under a medically-induced coma while being treated for meningitis. His book Proof of Heaven: A Neurosurgeon's Journey into the Afterlife (2012) describes
Eben_Alexander_(author)
2020 studio album by Lilly Hiatt
Proof is the fourth studio album by American singer-songwriter Lilly Hiatt. It was released on March 27, 2020, under New West Records. Walking Proof was
Walking_Proof
Type of plane curve
\left(x^{2}+y^{2}\right)^{2}+4ax\left(x^{2}+y^{2}\right)-4a^{2}y^{2}=0.} A proof can be established using complex numbers and their common description as
Cardioid
Subfield of automated reasoning and mathematical logic
mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science. While
Automated_theorem_proving
Relationship between programs and proofs
language theory and proof theory, the Curry–Howard correspondence is a direct relationship between computer programs and mathematical proofs. It is also known
Curry–Howard_correspondence
Formal language and associated computer program
state the definitions, axioms, inference rules and theorems) is focused on simplicity. Proofs are checked using an algorithm based on variable substitution
Metamath
Style of formal logical argumentation
calculus is a style of formal logical argumentation in which every line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead
Sequent_calculus
Spheres tangent to a plane inside a cone
it's possible to conduct a proof for the parabola, that it is the locus of points for which the distance from a point (focus) is the same as the distance
Dandelin_spheres
Alternative decimal expansion of 1
mathematically rigorous proofs. The intuitive arguments are generally based on properties of finite decimals that are extended without proof to infinite decimals
0.999...
Digital asset using a distributed ledger
of coin ownership. The two most common consensus mechanisms are proof of work and proof of stake. Despite the name, which has come to describe many of
Cryptocurrency
Olympiad (IMO) is an annual international high school mathematics competition focused primarily on pre-collegiate mathematics, and is the oldest of the international
List of International Mathematical Olympiad participants
List_of_International_Mathematical_Olympiad_participants
State of a person who has never engaged in sexual intercourse
definition of virginity exists, that there is no scientifically verifiable proof of virginity loss, and that sexual intercourse results in no change in personality
Virginity
American singer, lead vocalist of Creed
Divide Tour (2006–2007) 2010 Unplugged Tour 2011–2012 Tours Proof of Life Tour 2014 Proof of Life Tour 2016 Make America Rock Again Tour (headlining)
Scott_Stapp
Field of knowledge
shapes, sets, functions, and probabilities. It uses logical reasoning and proof to study and establish their properties, often expressed as theorems, formulas
Mathematics
American politician (born 1954)
district attorney in Manhattan. In the mid-1980s, he joined two nonprofits focused on environmental protection: Riverkeeper and the Natural Resources Defense
Robert_F._Kennedy_Jr.
Kind of proof calculus
In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to
Natural_deduction
American actress (born 1968)
to 2013, she starred as Dr. Kate Murphy in the ABC drama series Body of Proof, and from 2016 to 2019, she appeared as Veronica Allen on the Amazon Prime
Jeri_Ryan
2017 film about Multiple sclerosis
Living Proof is a documentary directed by Matt Embry, released in 2017. The documentary explores Embry's story of living with Multiple sclerosis (MS)
Living_Proof_(2017_film)
British jurist and law professional (1934–2025)
jurisprudence, evidence and proof, legal method, legal education, and intellectual history. Twining's work also focused on "globalization" and legal
William_Twining
The FoolProof Initiative is a project by the FoolProof Foundation that teaches consumer life skills and healthy skepticism to consumers. It teaches consumers
FoolProof
American internet company
2022, ProofPilot repositioned its platform from a study design and protocol automation tool to a comprehensive clinical experience platform focused on trial
ProofPilot
German philosopher (1788–1860)
too complicated to pass as self-evident, and therefore needs a proof; but no such proof can be produced, just because there is nothing more immediate.
Arthur_Schopenhauer
Modification of existing structures to make them more resistant to seismic activity
important to keep in mind that there is no such thing as an earthquake-proof structure, although seismic performance can be greatly enhanced through
Seismic_retrofit
Method of deriving conclusions
inference play a central role in proofs as explicit procedures for deriving new lines of a proof from preceding lines. Proofs involve a series of inferential
Rule_of_inference
Divine location in various religions
being. Because the heavens are temporary and part of samsara, the Buddhist focus is more on eventually escaping the cycle of rebirth and achieving bodhi
Heaven
camera handy: Stories of Manitoba lake monsters told for centuries but proof remains elusive". Canadian Broadcasting Corporation. Retrieved 29 June 2024
List_of_cryptids
Interplay between observation, experiment, and theory in science
devising a plan for constructing the proof; synthesis is the strict Euclidean exposition of step-by-step details of the proof; review involves reconsidering
Scientific_method
Catholic lay religious order
officers, required proof of noble lineage. More recently, a path was created for Knights and Dames of the lowest class (of whom proof of aristocratic lineage
Sovereign Military Order of Malta
Sovereign_Military_Order_of_Malta
1995 studio album by Radiohead
described "My Iron Lung" as hard rock, and noted more subdued sounds on "Bullet Proof ... I Wish I Was" and "High and Dry", showcasing Radiohead's "more plaintive
The_Bends_(album)
23 mathematical problems stated in 1900
systems, i.e., finitistic proofs from an agreed-upon set of axioms. One of the main goals of Hilbert's program was a finitistic proof of the consistency of
Hilbert's_problems
Methods to reduce sound pressure
Diffraction". www.physicsclassroom.com. Retrieved 2017-07-10. "How to sound-proof your noisy apartment". Stuff. Archived from the original on 2017-02-13.
Soundproofing
Indian mathematician (1887–1920)
and the need for mathematically rigorous proofs was recognised. Hardy was an atheist and an apostle of proof and mathematical rigour, whereas Ramanujan
Srinivasa_Ramanujan
Techniques to train attention and awareness
Meditation techniques are broadly classified into focused (or concentrative) and open monitoring methods. Focused methods involve attention to specific objects
Meditation
Theorem in topology
extension, the Kakutani fixed-point theorem, play a central role in the proof of existence of general equilibrium in market economies as developed in
Brouwer_fixed-point_theorem
Television marketing strategy
styles of "DVR-proof" programming and new methods of marketing in response to the growth of these new technologies. Networks are focusing on more live entertainment
Event_television
American filmmaker (born 1963)
regarded as a single film. He then made the exploitation-slasher film Death Proof (2007), which was part of a double feature with From Dusk till Dawn director
Quentin_Tarantino
Erotic practices involving domination and sadomasochism
primarily attempts to ignore private sexual matters and focuses primarily on illegal, more self-focused manifestations of sadistic behavior such as rape rather
BDSM
American actress (born 1981)
starring in the second season of the ABC crime comedy-drama series, Body of Proof. She was a member of improvisational troupe The Groundlings in Los Angeles
Chrishell_Stause
Coconut flavored liqueur
made with white rum, which has an alcohol content by volume of 21.0% (42 proof). Since 2005 the Malibu brand has been owned by Pernod Ricard, which calls
Malibu_(rum)
Proof assistant
Matita is an experimental proof assistant under development at the Computer Science Department of the University of Bologna. It is a tool aiding the development
Matita
Distributed data store for digital transactions
considering moving from the proof-of-work model to the proof-of-stake model. In Sept, 2022, Ethereum converted from proof-of-work to proof-of-stake. In October
Blockchain
Study of correct reasoning
"a logic" refers to a specific logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics
Logic
American television sitcom (2007–2019)
with him. She stops a proposal a second time in "The Tangible Affection Proof". In the sixth-season episode, "The 43 Peculiarity", Penny finally tells
The_Big_Bang_Theory
very complex; for example, theorems, proofs, and even formal theories are considered as mathematical objects in proof theory. In philosophy of mathematics
Mathematical_object
Book by Al-Juwayni
A Guide to Conclusive Proofs for the Principles of Belief (Arabic: الإرشاد إلى قواطع الأدلة في أصول الاعتقاد, romanized: Al-Irshad ila Qawati' al-Adilla
A_Guide_to_Conclusive_Proofs
1851 novel by Herman Melville
with the proof sheets, made from the finished plates, which he sent to London by his brother Allan on September 10. For over a month, these proofs had been
Moby-Dick
Hungarian and American mathematician and physicist (1903–1957)
continued looking for a more general proof of the consistency of classical mathematics using methods from proof theory. A strongly negative answer to
John_von_Neumann
2004 studio album by Taking Back Sunday
Blink-182 member Tom DeLonge to create a music video, "This Photograph Is Proof (I Know You Know)," which was filmed in 48 hours. The band went on a winter
Where_You_Want_to_Be
President of the United States in 1881
enforcement for freedmen. Garfield's aptitude for mathematics extended to his own proof of the Pythagorean theorem, published in 1876, and his advocacy of using
James_A._Garfield
Computer hardware technology that uses quantum mechanics
depend on the primitive of the quantum Fourier transform. No mathematical proof has been found that shows that an equally fast classical algorithm cannot
Quantum_computing
2011 EP by Bad Meets Evil
Bad Meets Evil, recording began in late 2010, when two tracks, "Living Proof" and "Echo" having leaked onto the Internet. The lead single, "Fast Lane"
Hell:_The_Sequel
36 mathematical problems stated in 1955
also known as the modularity theorem, which would be used in Andrew Wiles' proof of Fermat's Last Theorem in 1995. In the 1950s post-World War II period
Taniyama's_problems
Pseudonym of the creator of Bitcoin
Dominic Frisby provides much circumstantial evidence but, as he admits, no proof that Nakamoto is Szabo. Szabo denied being Satoshi, and stated his official
Satoshi_Nakamoto
American bassist
vocalist and guitarist. Brown authored a book called Official Truth 101 Proof, which was released in April 2013. The book documents Pantera's formation
Rex_Brown
Pakistani al-Qaeda militant (1964–2011)
Laden and 9/11, Pluto Press (2011), p. 67 "Ilyas Kashmiri's family seeks proof of his death". Dawn News. 8 June 2011. Retrieved 16 July 2023. Mir, Hamid
Ilyas_Kashmiri
Programming paradigm based on formal logic
Heidelberg. Andreoli, Jean-Marc (1 June 1992). "Logic Programming with Focusing Proofs in Linear Logic". Journal of Logic and Computation. 2 (3): 297–347
Logic_programming
Material supporting an assertion
statement can vary in strength, ranging from weak correlation to indisputable proof. Theories of the evidential relation examine the nature of this connection
Evidence
Australian actress (born 1968)
Lance Black. Onstage, Griffiths appeared in a Melbourne-based production of Proof in 2002, which earned her a Helpmann Award, and later made her Broadway
Rachel_Griffiths
Proving or disproving the correctness of certain intended algorithms
verification of these systems is done by ensuring the existence of a formal proof of a mathematical model of the system. Examples of mathematical objects
Formal_verification
1861–1865 conflict in the United States
whose term ended on March 4. Buchanan said the Dred Scott decision was proof the Southern states had no reason to secede and that the Union "was intended
American_Civil_War
Acute destruction of the body
PMID 17522526.{{cite journal}}: CS1 maint: multiple names: authors list (link) "Proof of Life: Make Every Possible Effort Even when Patients Look Dead - JEMS:
Total_body_disruption
AI research laboratory
on synthetic data of geometrical proofs. When the symbolic engine doesn't manage to find a formal and rigorous proof on its own, it solicits the large
Google_DeepMind
Plane curve: conic section
properties use a line of calculus. Here a geometric proof is presented. In this diagram, F is the focus of the parabola, and T and U lie on its directrix
Parabola
Complete absence of anything; the opposite of everything
allowing the possibility of the same medium supporting both light and gravity. Proof that light has a wave nature, rather than Newton's corpuscles, was provided
Nothing
Capital and most populous city in Japan
the transition from timber and brick architecture to modern, earthquake-proof construction. The Tokyo Metro Ginza Line portion between Ueno and Asakusa
Tokyo
System of tribunals enforcing Catholic doctrine
and other lower and even less proper persons, have without any legitimate proof been thrust into secular prisons, tortured and condemned as relapsed heretics
Spanish_Inquisition
Illegal attempt to unseat an incumbent
referred to as "coup-proofing", regimes create structures that make it hard for any small group to seize power. These coup-proofing strategies may include
Coup_d'état
Place in prison housing inmates awaiting execution
intellectual disabilities due to poor legal representation and high standards of proof. In 1933, Giuseppe Zangara attempted to assassinate President-elect Franklin
Death_row
American actress (born 1964)
she co-wrote, and appearing as Samantha Baker in the ABC series Body of Proof and as GBI Chief Amanda Wagner in the ABC series Will Trent. She is also
Sonja_Sohn
Email authentication method designed to associate a domain with a message stream
This proof can be provided instead of a DKIM signature to third parties in order for anyone to verify the validity of the email. These proofs can even
DomainKeys_Identified_Mail
FOCUSED PROOF
FOCUSED PROOF
Girl/Female
Tamil
Focused, Once who knows direction
Boy/Male
Indian
Unique, Focused
Boy/Male
Tamil
Ekagrah | à®à®•à®¾à®•à¯à®°à®¹
Focused
Ekagrah | à®à®•à®¾à®•à¯à®°à®¹
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Focused
Boy/Male
Indian
Unique, Focused
Boy/Male
Hindu
Focused
Boy/Male
Arabic, Australian, German, Indian, Muslim, Pashtun, Sindhi
Focused; Attached; Intent; Devoted
Boy/Male
Indian, Telugu
Focused; Powerful; Lord Vishnu
Girl/Female
Tamil
Focused, Once who knows direction
Boy/Male
Tamil
Unique, Focused
Boy/Male
Tamil
Focused
Girl/Female
Hindu, Indian
Singly Focussed
Boy/Male
Tamil
Unique, Focused
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
One Aim; Singly Focused
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Focused
Boy/Male
British, Indian, Malaysian, Telugu
Spiritual; Analytical; Focused
Boy/Male
Tamil
Focused
Boy/Male
Hindu, Indian
Focussed
Girl/Female
Tamil
Focused, Once who knows direction
Boy/Male
Hindu, Indian, Kannada, Marathi, Sanskrit
Divine; Focused
FOCUSED PROOF
FOCUSED PROOF
Surname or Lastname
English
English : variant of Axson.
Girl/Female
Australian, Greek
Flower Name
Girl/Female
British, Christian, English, French, Italian, Latin
Good Fate; Luck
Surname or Lastname
English
English : variant spelling of Thurman.
Girl/Female
Japanese American English
Lord.
Boy/Male
American, Anglo, Australian, British, English, French
From Baron's Estate; From the Town Near the Sea
Surname or Lastname
English
English : variant of Wolford.
Girl/Female
Tamil
Powerful and complete
Boy/Male
Arabic, Muslim
Blessed
Boy/Male
Hindu, Indian, Traditional
One who Stays in Heaven
FOCUSED PROOF
FOCUSED PROOF
FOCUSED PROOF
FOCUSED PROOF
FOCUSED PROOF
a.
Soused. See Souse.
pl.
of Focus
imp. & p. p.
of Souse
imp. & p. p.
of Excuse
n.
A point so related to a conic section and certain straight line called the directrix that the ratio of the distace between any point of the curve and the focus to the distance of the same point from the directrix is constant.
v. t.
To bring to a focus; to focalize; as, to focus a camera.
pl.
of Focus
a.
Charged with offense; as, an accused person.
imp. & p. p.
of Focus
v. t.
To bring to a focus; to focus; to concentrate.
imp. & p. p.
of Mouse
p. pr. & vb. n.
of Focus
a.
Accused by one's self or by one's conscience.
imp. & p. p.
of Accuse
imp. & p. p.
of House
imp. & p. p.
of Touze
imp. & p. p.
of Rouse
imp. & p. p.
of Douse
n.
The action of bailing a person accused.
n.
A point in which the rays of light meet, after being reflected or refrcted, and at which the image is formed; as, the focus of a lens or mirror.