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Prism

PRISM is a clandestine electronic program operated by the (NSA) since 2007, enabling the bulk collection of communications—including emails, video chats, and file transfers—from major American technology companies such as , , Apple, and , primarily to target foreign intelligence under Section 702 of the Amendments of 2008. The program, revealed in 2013 through leaks by former NSA contractor , accounted for approximately 91% of the agency's acquired communications by volume in the years leading up to the disclosures, involving direct access to servers of participating firms via court-approved directives that compel production without individual warrants. While officially designed for monitoring non-U.S. persons reasonably believed to be located abroad, PRISM has drawn intense for its incidental acquisition of ' , repeated compliance failures documented by the , and broader implications for privacy rights, prompting legal challenges, congressional reforms like the of 2015, and ongoing debates over the balance between and . Distinct from "upstream" collection methods that tap cables, PRISM's "downstream" approach relies on company-held , though both have faced criticism for overcollection and minimization lapses, with the NSA ceasing certain upstream activities in 2017 amid acknowledged violations.

Science and mathematics

Optical prism

An optical prism is a transparent optical element, typically with flat, polished surfaces and a triangular cross-section, that refracts rays passing through it, altering their direction and often separating them into components due to wavelength-dependent . These devices operate on the principle of governed by , where the angle of incidence and at each surface depends on the of the material, which varies with , leading to . Common materials include crown glass or , with refractive indices around 1.5 for visible , enabling precise control over paths in optical systems. The foundational understanding of optical prisms emerged from experiments by in the 1660s and 1670s, who used prisms to demonstrate that white sunlight comprises a of colors, challenging prevailing theories that attributed coloration to modification of light within the prism itself. Newton's setup involved passing sunlight through a narrow and a prism, projecting a linear onto a wall, and recombining colors with a second prism to restore white light, establishing as an inherent property of light rather than the medium. This work, detailed in his 1704 book , quantified angular deviations and laid groundwork for , with prism deviation angle D given by D = \theta_1 + \theta_2 - \alpha, where \theta_1 and \theta_2 are refraction angles at entry and exit surfaces, and \alpha is the prism apex angle. In operation, light enters one face, refracts toward the normal due to the higher inside the prism, undergoes or further refraction at the second face, and exits deviated. Dispersion arises because shorter wavelengths (e.g., violet) refract more than longer ones (e.g., ), with the dispersive power quantified by the V_d = (n_d - 1)/(n_F - n_C), where n_d, n_F, and n_C are refractive indices at , , and , respectively; lower V_d indicates higher dispersion suitable for spectrometers. For a typical 60° equilateral prism, occurs when the light path is symmetric, minimizing angular spread for monochromatic sources. Optical prisms are categorized by function: dispersive prisms, such as triangular ones, separate wavelengths for and wavelength selection; reflective prisms, including right-angle prisms using ( ≈42° for glass-air interface), redirect beams without inversion in periscopes and ; rotation prisms like dove prisms rotate images for alignment; and displacement prisms shift beams laterally in interferometers. Applications span scientific instruments, with dispersive prisms enabling analysis of atomic emission lines since the , systems for , and medical devices for via fiber-coupled prism tips. Polarizing prisms, such as Glan-Thompson types using birefringent , resolve light into orthogonal polarizations for , though they require air-spaced designs to avoid walk-off. High-precision prisms, machined to λ/10 surface flatness, minimize aberrations in modern and correctors.

Geometric prism

A geometric prism is a comprising two congruent and parallel polygonal bases, with the remaining faces being connecting corresponding edges of the bases. The bases are identical n-sided polygons, and the lateral faces number n, each a formed by translating one base relative to the other along a fixed direction without rotation. This structure ensures uniform cross-sections parallel to the bases, distinguishing prisms from other like pyramids, which taper to an . Prisms are classified by the orientation of their lateral edges relative to the bases and by the shape of the bases. A right prism features lateral edges perpendicular to the bases, yielding rectangular lateral faces; an oblique prism has non-perpendicular lateral edges, resulting in parallelogrammatic lateral faces slanted at an angle. Prisms are further named by their base polygons, including triangular prisms (three-sided bases), or rectangular prisms (four-sided bases), pentagonal prisms (five-sided bases), and hexagonal prisms (six-sided bases), among others. A regular prism combines regular polygonal bases with right lateral faces, maximizing . Key properties derive from the parallelism and of the bases. All cross-sections parallel to the bases are congruent to the bases, enabling consistent extrusion-like generation from a polygonal . The volume V of any prism, right or oblique, equals the base area B multiplied by the perpendicular h between bases: V = B \times h. For surface area, the total encompasses two base areas plus lateral faces; in right prisms, lateral surface area simplifies to base perimeter P times : lateral surface area = P \times h, so total surface area = $2B + P \times h. Oblique prisms require calculating each parallelogram's area individually, typically as P times the lateral edge projection or slant component. These formulas underpin applications in and , where prisms model extruded volumes.

Government surveillance

PRISM program overview

The PRISM program constitutes a targeted foreign intelligence collection effort conducted by the (NSA) under the authority of Section 702 of the (FISA) Amendments Act of 2008, which permits the acquisition of electronic communications content from U.S.-based service providers for non-U.S. persons reasonably believed to be located abroad. The program's primary objective is to gather relevant to priorities, including , weapons proliferation, and foreign threats, by compelling providers to disclose user data—such as emails, chats, videos, and stored files—that match selector-based targeting criteria approved by the Foreign Intelligence Surveillance Court (FISC). Unlike bulk metadata programs, PRISM operates on a targeted basis, with annual certifications submitted by the Attorney General and specifying foreign intelligence purposes, though incidental collection of U.S. persons' communications occurs and is subject to minimization procedures to limit retention and dissemination. Launched in 2007 amid expansions of surveillance authorities post-9/11, including the , facilitated NSA access to data from nine major Internet companies: (starting May 2007), (2008), (2009), (2009), PalTalk (December 2009), (2010), (2010), (2010), and Apple (2012). By fiscal year 2012, it accounted for approximately 91,000 intelligence reports incorporating -derived data, representing a key source of upstream collection distinct from fiber-optic cable taps under the related UPSTREAM program, with annual operational costs around $20 million. Providers receive FISC directives rather than warrants, reimbursements for compliance costs (totaling millions annually), and legal gag orders prohibiting disclosure of the requests, ensuring data handover without NSA personnel directly querying company servers in real-time. Public awareness of PRISM emerged on June 6, 2013, following leaks by , a former NSA contractor, which included classified slides detailing the program's scope and provider integrations, as reported by and . These disclosures prompted official confirmations from the Obama administration that PRISM adhered to legal frameworks and oversight mechanisms, including FISC approvals and congressional notifications, while yielding empirical intelligence successes in disrupting threats, though subsequent audits revealed compliance issues such as over-collection. The program exemplifies Section 702's dual PRISM (provider-specific) and UPSTREAM (backbone) modalities, with PRISM emphasizing downstream acquisition from endpoint custodians to support analytic queries against foreign targets.

History and establishment

The PRISM surveillance program emerged in the context of expanded U.S. intelligence efforts following the , 2001, terrorist attacks, which exposed gaps in monitoring foreign communications routed through domestic networks. In response to public disclosures of President George W. Bush's warrantless surveillance activities, including the initiated in 2001, the (NSA) transitioned toward more formalized data acquisition methods from U.S.-based technology providers to target non-U.S. persons reasonably believed to be located abroad. PRISM's establishment was enabled by the , signed into law on August 5, which temporarily authorized warrantless collection of foreign intelligence from electronic communications service providers without individual Foreign Intelligence Surveillance Court (FISC) warrants for overseas targets. The program's first operational collection began on September 11, 2007, through a with , allowing the NSA to request and receive user data such as emails and stored files deemed relevant to foreign intelligence. This initial phase focused on "downstream" collection, distinguishing it from other NSA methods like "upstream" cable tapping. The framework was solidified with the FISA Amendments Act of 2008, enacted on July 10, which introduced Section 702 as a permanent authority for such targeted acquisitions, requiring annual FISC certifications and minimization procedures to protect incidentally collected U.S. persons' data. Early expansions under PRISM incorporated additional providers, including Yahoo on March 12, 2008, amid rapid growth in data volume driven by increasing internet usage for global communications. By 2011, FISC documents indicated PRISM accounted for approximately 91% of the NSA's roughly 250 million annual internet communication acquisitions under Section 702.

Operational mechanisms

The PRISM program operates as a form of downstream collection under Section 702 of the FISA Amendments Act of 2008, enabling the (NSA) to acquire electronic communications content from U.S.-based service providers for foreign intelligence purposes. Targeting begins with NSA analysts identifying "selectors"—such as addresses or numbers—reasonably believed to be used by non-U.S. persons located outside the , with a significant purpose of obtaining foreign intelligence information. These selectors undergo validation to minimize incidental collection on U.S. persons, including checks against databases to exclude known U.S. identifiers, though empirical from government reports indicate that such incidental domestic communications still comprise a substantial portion of acquired , often exceeding 50% in certain batches. Once targeting certifications are approved annually by the Foreign Intelligence Surveillance Court (FISC)—typically in batches covering broad categories of foreign intelligence like or cybersecurity threats—the NSA issues binding directives to designated electronic communications service providers (ECSPs), including companies such as , , , , and Apple. These directives, classified as letters or Section 702 orders, legally compel providers to conduct searches of their servers using the provided selectors and furnish the resulting communications, which include emails, chats, videos, and other stored content, but exclude real-time interception. Providers are prohibited from disclosing the directives publicly, though they may challenge them internally or seek limited FISC review; compliance costs, reported to total millions annually across providers, are reimbursed by the government to facilitate execution. Collection occurs periodically rather than continuously, with providers batching results from database queries matching the selectors to targets' communications, including to or from incidentally captured U.S. persons whose cannot be disseminated without further minimization procedures. The NSA employs automated technical measures, such as filtering algorithms, to detect and segregate U.S. person during acquisition, alerting analysts to potential violations, though internal audits have revealed instances of over-collection due to selector errors or technical glitches, prompting remedial purging of non-compliant . Unlike upstream collection programs that tap cables, relies exclusively on provider-held , limiting it to stored or transiting communications accessible via server queries rather than broad cable scans. This mechanism has yielded volumes of intelligence, with declassified reports estimating billions of records annually, though exact figures remain classified and subject to minimization to protect . The PRISM program derives its primary legal authority from Section 702 of the (FISA), as amended by the FISA Amendments Act signed into law on July 10, 2008. This provision permits the Attorney General and to jointly authorize the acquisition of foreign intelligence information targeting non-U.S. persons reasonably believed to be located outside the , without requiring individualized warrants for each target, provided the surveillance is conducted in accordance with targeting procedures approved by the Foreign Intelligence Surveillance Court (FISC). The law mandates that such acquisitions minimize the collection and retention of information involving U.S. persons and prohibit reverse targeting of Americans. Annually, the government submits certifications to the FISC detailing the targeting, minimization, and querying procedures used under Section 702, which the court reviews for compliance with statutory requirements and the Fourth Amendment. These procedures are designed to ensure that PRISM's collection—primarily upstream and downstream acquisitions from service providers and companies—focuses on foreign targets while limiting incidental U.S. person data, though critics from organizations like the argue that the framework enables warrantless searches of Americans' communications. The FISC's oversight is for procedures but relies on post-collection compliance reporting, with the court having approved multiple iterations of these rules since 2008. Congressional oversight includes mandatory semiannual reports to intelligence and committees on acquisition volumes, incidents, and querying of U.S. person data, as required under Section 702. The provision has undergone reauthorizations, notably in for five years and again in April 2024 via the Reforming Intelligence and Securing America Act, extending it to December 31, 2025, amid debates over warrant requirements for domestic queries. Independent reviews by the Privacy and Oversight Board (PCLOB) have examined implementation, finding in 2014 and subsequent reports that while the program adheres to legal bounds, incidental collection of U.S. communications raises privacy risks, prompting recommendations for enhanced querying restrictions that were partially adopted. Legal challenges to PRISM's framework, including suits alleging Fourth Amendment violations from backdoor searches, have largely failed on standing grounds, as in the Supreme Court's 2013 v. ruling, though ongoing litigation and congressional pushback highlight tensions between national security imperatives and privacy protections. Executive branch elements, such as of the Director of National Intelligence's transparency reports, further document compliance, reporting over 232,000 targeting selections under Section 702 in 2022 alone, with audits revealing occasional procedural lapses corrected through internal remediation.

Security benefits and empirical successes

The PRISM program, as a core component of Section 702 acquisitions, facilitates the targeted collection of foreign intelligence from U.S.-based electronic communication service providers, enabling the (NSA) to access content communications of non-U.S. persons reasonably believed to be located abroad who are involved in or other foreign threats. This approach provides causal advantages in by directly capturing operational details—such as , , and financing—that foreign actors route through U.S. infrastructure, which would otherwise require more resource-intensive overseas intercepts or diplomatic cooperation. Unlike metadata programs, PRISM's targeting minimizes incidental collection while yielding high-value , supporting downstream disruptions without relying solely on tippers or human sources. Empirical successes are evidenced by declassified vignettes from the Office of the (ODNI), demonstrating /Section 702's role in real-time threat mitigation. In late October 2023, (FBI) analysts used Section 702 collection to identify an imminent threat from foreign terrorists targeting U.S. military personnel in the , prompting enhanced and averting potential casualties. Additional cases include the disruption of a foreign terrorist organization's and networks in 2022, where 702-derived communications revealed key facilitators, leading to their neutralization, and the exposure of a cyber-enabled plot against U.S. allies in in 2021, informed by intercepted planning messages. These instances, drawn from over 200,000 annual Section 702 taskings, underscore contributions to broader reporting, with NSA attributing approximately 50% of its products in recent years to such acquisitions. Quantifiable impacts further highlight PRISM's efficacy: between 2015 and 2022, Section 702 supported the identification of over 100 foreign intelligence leads that advanced investigations, including the arrest of operatives linked to al-Qa'ida affiliates. The Privacy and Civil Liberties Oversight Board (PCLOB), in its bipartisan review, affirmed that Section 702 collections have delivered "unique value" in specific cases by providing foreign intelligence unobtainable through other means, such as detailing terrorist safe houses and attack modalities. While full operational details remain classified to safeguard methods, these declassified outcomes align with NSA testimonies crediting the program with disrupting potential attacks in more than 50 instances since 2008, often through integrated analysis with other .

Controversies, privacy concerns, and reforms

The disclosure of PRISM by in June 2013 sparked widespread controversy over the program's scope, which involved direct access to user data from nine major U.S. internet companies—including , , , and Apple—facilitating the bulk acquisition of communications content under Section 702 of the (FISA) Amendments Act of 2008. Critics, including organizations, argued that the program exemplified government overreach, enabling warrantless surveillance of foreign targets that incidentally captured Americans' international communications, such as emails and video chats, without or judicial review for U.S. persons' data. Tech firms initially denied systematic data handovers but later confirmed compliance with legal directives, fueling debates on coerced cooperation and the erosion of user trust, with international allies like the decrying violations of sovereignty through spying on diplomats and citizens. Privacy advocates highlighted empirical risks of abuse, including the NSA's "backdoor searches" of PRISM-collected by FBI agents for domestic criminal investigations—totaling over 3.1 million queries in 2017 alone, many non-national security related—without warrants, contravening Fourth protections against unreasonable searches. Incidental collection affected millions of U.S. persons annually, with declassified FISA Court (FISC) opinions revealing repeated compliance failures, such as the NSA's improper handling of over 250 million communications yearly via upstream variants, leading to unauthorized retention and dissemination of domestic . Advocacy groups like the ACLU and contended this chilled free speech and , citing first-principles violations of as a natural right predating statutory frameworks, though defenders emphasized targeted foreign intelligence gains amid threats like . Legal challenges underscored these issues, with federal courts ruling related bulk metadata programs unlawful—such as the Ninth Circuit's 2020 decision deeming NSA surveillance under 215 unconstitutional for lacking statutory authority and invading —but PRISM's 702 framework has withstood direct invalidation, despite ongoing suits like v. NSA alleging broader illegal . The FISC has mandated remedial measures for violations, including purging non-compliant data, yet privacy groups attribute persistent issues to inadequate oversight, with sources like and often amplifying reformist narratives while underreporting verified counterterrorism successes from 702-derived intelligence. Post-revelation reforms included the of June 2015, which prohibited bulk telephone collection under Section 215 but preserved PRISM's core operations under Section 702, shifting storage to providers with court-ordered access limited to specific selectors. In April 2017, the NSA voluntarily halted "about" collection in upstream 702 surveillance—capturing communications mentioning but not to/from targets—to mitigate overcollection, following FISC directives. Section 702 underwent reauthorizations in 2018 and April 2024, the latter incorporating bipartisan changes like slashing FBI U.S. person query authorizations by over 90 percent, imposing criminal penalties for misuse, and enhancing FISC transparency, though it rejected warrant requirements for domestic queries, drawing criticism from groups like the for expanding rather than curtailing surveillance scope. These adjustments addressed some empirical compliance lapses, per ODNI reports, but debates persist on balancing with causal links to , with the 2024 law's two-year signaling potential future scrutiny.

Current status and legacy

The PRISM program, operating under Section 702 of the (FISA), remains active as of 2025 through downstream collection of internet communications from U.S. technology companies, following its reauthorization in April 2024 for a two-year period by President . This reauthorization occurred amid congressional debates over warrant requirements for querying U.S. persons' data incidentally collected, with reforms mandating FBI warrants for accessing certain communications of Americans, though critics argue enforcement gaps persist. In 2017, the (NSA) discontinued specific upstream collection methods under Section 702—distinct from PRISM's downstream approach—halting the acquisition of communications "about" targeted foreigners to reduce incidental U.S. person data. The program's legacy includes heightened global scrutiny of bulk surveillance, prompting partial reforms such as the of 2015, which curtailed related bulk telephony metadata collection under Section 215 but left Section 702 largely intact. Snowden's 2013 disclosures, which first publicized , accelerated adoption of by tech firms and influenced international protection measures, including the Union's invalidation of the U.S.-EU Harbor framework in 2015 due to concerns over unchecked access to . Domestic oversight expanded via annual transparency reports from companies like and , detailing legal demands, though Privacy and Civil Liberties Oversight Board (PCLOB) reviews in 2023 highlighted persistent compliance issues, such as over 200,000 unwarranted FBI queries of U.S. persons' in 2021 alone. PRISM's enduring impact underscores tensions between national security imperatives and privacy rights, with empirical data from Office of the reports showing Section 702 acquisitions exceeding 240,000 targets annually as of 2022, predominantly yielding foreign while incidentally capturing U.S. communications queried over three million times by agencies in 2022. Legal challenges, including Foreign Intelligence Surveillance Court rebukes for unconstitutional querying practices, have driven incremental constraints, yet the program's framework persists, reflecting causal trade-offs where targeted foreign yields actionable but risks overreach absent stricter standards. This duality has informed broader debates on proportionality, influencing policies like Presidential Policy Directive 28 (2014), which imposed analytic safeguards on handling.

Media and entertainment

Music

Prism is a Canadian rock band formed in , , in 1977 by producer , songwriter , guitarist Lindsay Mitchell, and vocalist Ron Tabak. Early lineup included keyboardist John Hall and Rocket Norton, with Al Harlow joining in 1978. The group blended and pop elements, releasing eight studio albums primarily between 1977 and 1983, including their self-titled debut Prism (1977), See Forever Eyes (1978), (1979), Young and Restless (1980), Small Change (1981), and (1983). Notable singles encompassed "Spaceship Superstar," "Armageddon," "Night to Remember," "Take Me to the Kaptin," and "Don't Let Him Know," which achieved airplay success in and the . The band sold out arenas and set attendance records at multiple venues during their initial run, earning the Juno Award for Group of the Year in 1981. After disbanding in 1984, Prism reformed in later decades and was inducted into in the Arts & Entertainment category on September 28, 2023, recognizing their contributions alongside other and rock acts. The group remains active, scheduling tour dates across in 2025 and 2026. "" also denotes the fourth studio album by American singer , released on October 18, 2013, by . The pop record debuted at number one on the chart, selling 286,000 copies in its first week according to Nielsen SoundScan data, and topped charts in , , , and several other countries. It features singles such as "Roar" and "Dark Horse" featuring , which both reached number one on the Hot 100.

Publications

PRISM international, established in 1959 at the , stands as Western Canada's oldest continuously published . It features , , , , and visual art from both Canadian and international contributors, with a focus on innovative and boundary-pushing works. The magazine transitioned from its original name, Prism, to PRISM international in 1964 to reflect its growing scope. Prism, the student-run arts and literature journal of , was founded in 1973 and publishes original student-submitted works including visual art, photography, , short , and essays. Managed under the university's Orange Media Network, it emphasizes showcasing emerging campus talent and accepts submissions from all affiliates annually. Prism Review, affiliated with the University of La Verne's program, is an annual literary journal staffed by undergraduates that selects and publishes approximately 20 pieces of contemporary and from national and international authors. Launched to highlight diverse voices, it operates through a course-based editorial process and maintains an open submission period, prioritizing quality over volume. Prism: Theory and Modern Chinese Literature, a biannual peer-reviewed journal published by Duke University Press since 2014 in collaboration with Lingnan University, focuses on scholarly research into modern Chinese literary production, dissemination, and reception. It covers topics such as ecocriticism, intertextuality, and global influences on Chinese literature, drawing contributions from international academics.

Television and other media

The PRISM surveillance program, revealed in 2013, has influenced themes in fictional television series depicting government monitoring of communications. The CBS drama Person of Interest (2011–2016) portrays a machine intelligence system that scans vast data streams to predict crimes, echoing PRISM's bulk collection from tech firms; following Edward Snowden's leaks, creator Jonathan Nolan described the revelations as validating the show's prescience on surveillance overreach while highlighting real-world risks. In Fox's 24 (2001–2010), counterterrorism agents rely on pervasive electronic intercepts for real-time threat detection, framing such tools as vital despite ethical costs—a narrative that predated PRISM but aligned with its operational justifications post-exposure. Documentary programming has examined PRISM's mechanics and implications through investigative formats. PBS's Frontline series United States of Secrets (aired May 13 and 20, 2014) details the NSA's expansion of bulk data collection under , featuring interviews with agency insiders like whistleblower William Binney and , who exposed the program's direct access to servers of companies including and starting in 2007. The two-part episode critiques the post-9/11 legal expansions enabling while noting internal NSA debates on erosion. Other media, including web-based videos, have covered PRISM's technical aspects. A 2013 explanatory segment by The Verge outlined how enabled NSA queries of user data like emails and searches from nine major providers, emphasizing court-ordered but minimally overseen access under Section 702 of the FISA Amendments Act. News's 2024 report on NSA hacking units indirectly references PRISM-era tools in broader critiques, though focusing more on . These portrayals often highlight tensions between security gains and , with empirical data from leaks showing PRISM's role in thousands of annual targets but scant public evidence of terrorism prevention metrics.

Computing and technology

Software applications

GraphPad Prism is a commercial scientific software application developed by for , graphing, and statistical computation, primarily used in biomedical research. It supports features such as , , t-tests, ANOVA, , and creation of publication-quality graphs including scatterplots, box-and-whisker plots, and bar graphs. First released in 1989, Prism integrates data organization, , and tools in a single interface tailored for non-programmers in life sciences. PRISM is an open-source probabilistic model checker for of systems exhibiting random or probabilistic behavior, developed initially at the and now maintained by the . It models systems as discrete-time Markov chains, continuous-time Markov chains, or Markov decision processes, enabling analysis of properties like probabilities of reaching states, expected rewards, or steady-state behaviors using symbolic methods for efficiency. Released in 2002, PRISM has been applied in verifying communication protocols, biological systems, and security models, with extensions for stochastic games. The Prism Library, originally known as Microsoft Prism or Composite Application Guidance for WPF, is an open-source framework for developing modular, loosely coupled applications using XAML-based platforms like WPF, .NET MAUI, , and Xamarin.Forms. It implements patterns such as Model-View-ViewModel (MVVM), , event aggregation, and navigation to enhance maintainability and testability in composite applications. Introduced by Patterns & Practices in 2008 for WPF and Silverlight, it transitioned to community maintenance under PrismLibrary on , with version 9.0 released supporting modern .NET features.

Data and research tools

GraphPad Prism is a application developed by for scientific , statistical computation, and graphing, primarily targeted at researchers in fields such as , , and . The program integrates , , and into a single workflow, allowing users to perform operations like , , and hypothesis testing directly from data tables. It supports multiple data table formats, including , column, , and tables, enabling flexible handling of experimental datasets ranging from simple comparisons to complex repeated measures designs. Key analytical features include one-click execution of t-tests, ANOVA (including repeated measures and mixed-effects models), nonparametric tests, and dose-response curve analysis with built-in models for / estimation. For , Prism offers extensive nonlinear fitting options with customizable equations, calculations, and residual analysis to validate model assumptions. Survival analysis tools accommodate Kaplan-Meier curves, log-rank tests, and proportional hazards models, facilitating time-to-event interpretation in clinical and preclinical studies. These capabilities are accompanied by automated statistical that explains results in , reducing the interpretive burden on users without advanced statistical training. In research applications, Prism excels at producing publication-ready graphs, such as scatter plots with trend lines, violin plots, heatmaps, and 3D plots, with customizable aesthetics including , annotations, and layout sheets for multi-panel figures. Data can be imported from spreadsheets, text files, or directly from instruments, with built-in transformation tools for , log scaling, or outlier detection prior to analysis. The software's library of over 100 predefined analyses and graphs streamlines workflows, and recent versions (e.g., Prism 10, released in phases through 2024) have added features like multiple variables data tables for higher-dimensional datasets and enhanced for experimental design. While praised for its intuitive interface and integration of graphing with statistics—avoiding the need for separate tools like Excel or —critics note its cost (starting at approximately $252 annually for subscriptions) and occasional limitations in handling very large datasets compared to open-source alternatives. Academic institutions often provide site licenses to mitigate expenses.

Other uses

Organizations and initiatives

The Public Retirement Information Systems Management Association (PRISM), established in 1988, functions as a professional forum for managers overseeing public retirement funds, facilitating collaboration, knowledge sharing, and discussion of IT challenges specific to administration. The Pediatric Research in Sports Medicine Society (PRiSM) operates as a multidisciplinary medical organization dedicated to advancing research, education, and clinical practices in pediatric and adolescent , including and treatment protocols. In the , PRISM (Personalised Integrated Systems Medicine) was an initiative under the Innovative Health Initiative that sought to expedite the identification and development of novel therapies for neuropsychiatric disorders, such as and , through integrated biomarker and approaches completed by 2016. The PRISM Level Up Initiative, launched by the U.S. , promotes enhanced state participation in the Performance and Registration Information Systems Management program to improve commercial safety compliance and data-driven enforcement as of 2023. Community-based groups include (Providing Resources in Support of Marginalized populations) in the northwest Twin Cities suburbs, which since 1985 has delivered emergency assistance for housing, food, and financial needs to low-income residents through thrift operations and partnerships. Other examples encompass the Prism Project in , a 501(c)(3) nonprofit focused on human trafficking prevention education and survivor support services initiated in the , and PRISM (People's Recovery Initiative for Solutions and More), which addresses mental health and substance use stigma via awareness campaigns and recovery programs in .

Miscellaneous

In , a is a three-dimensional consisting of two parallel, congruent polygonal connected by rectangular lateral faces, with the determining the prism's name, such as triangular or pentagonal. The surface area includes twice the area plus the perimeter of the times the , while equals the area multiplied by the . Optical prisms, typically made from or with flat polished surfaces, refract to disperse wavelengths into spectra or redirect beams without inversion, as in right-angle prisms used for in periscopes and cameras. Dove prisms rotate images for alignment in imaging systems, and applications extend to for analyzing material composition via deviation. In , prisms correct disorders by inducing base-in or base-out shifts to align images on the retinas, commonly applied in lenses for conditions like or , with measurements in prism diopters indicating deviation strength.

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