TechnologyTechnology is the application of knowledge for achieving practical goals in a reproducible way. The word technology can also mean the products resulting from such efforts, including both tangible tools such as utensils or machines, and intangible ones such as software. Technology plays a critical role in science, engineering, and everyday life. Technological advancements have led to significant changes in society.
Modern architectureModern architecture, or modernist architecture, was an architectural movement or architectural style based upon new and innovative technologies of construction, particularly the use of glass, steel, and reinforced concrete; the idea that form should follow function (functionalism); an embrace of minimalism; and a rejection of ornament. It emerged in the first half of the 20th century and became dominant after World War II until the 1980s, when it was gradually replaced as the principal style for institutional and corporate buildings by postmodern architecture.
Irrational numberIn mathematics, the irrational numbers (from in- prefix assimilated to ir- (negative prefix, privative) + rational) are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. When the ratio of lengths of two line segments is an irrational number, the line segments are also described as being incommensurable, meaning that they share no "measure" in common, that is, there is no length ("the measure"), no matter how short, that could be used to express the lengths of both of the two given segments as integer multiples of itself.
Languages of IndiaLanguages spoken in the Republic of India belong to several language families, the major ones being the Indo-Aryan languages spoken by 78.05% of Indians and the Dravidian languages spoken by 19.64% of Indians; both families together are sometimes known as Indic languages. Languages spoken by the remaining 2.31% of the population belong to the Austroasiatic, Sino–Tibetan, Tai–Kadai, and a few other minor language families and isolates. According to the People's Linguistic Survey of India, India has the second highest number of languages (780), after Papua New Guinea (840).
Proof that π is irrationalIn the 1760s, Johann Heinrich Lambert was the first to prove that the number pi is irrational, meaning it cannot be expressed as a fraction , where and are both integers. In the 19th century, Charles Hermite found a proof that requires no prerequisite knowledge beyond basic calculus. Three simplifications of Hermite's proof are due to Mary Cartwright, Ivan Niven, and Nicolas Bourbaki. Another proof, which is a simplification of Lambert's proof, is due to Miklós Laczkovich. Many of these are proofs by contradiction.
IndiaIndia, officially the Republic of India (ISO: ISO), is a country in South Asia. It is the seventh-largest country by area; the most populous country as of June 2023; and from the time of its independence in 1947, the world's most populous democracy. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east.
Quadratic irrational numberIn mathematics, a quadratic irrational number (also known as a quadratic irrational or quadratic surd) is an irrational number that is the solution to some quadratic equation with rational coefficients which is irreducible over the rational numbers. Since fractions in the coefficients of a quadratic equation can be cleared by multiplying both sides by their least common denominator, a quadratic irrational is an irrational root of some quadratic equation with integer coefficients.
ModernismModernism is a philosophical, religious, and arts movement that arose from broad transformations in Western society during the late 19th and early 20th centuries. The movement reflected a desire for the creation of new forms of art, philosophy, and social organization which reflected the newly emerging industrial world, including features such as urbanization, architecture, new technologies, and war. Artists attempted to depart from traditional forms of art, which they considered outdated or obsolete.
VeniceVenice (ˈvɛnᵻs ; Venezia veˈnɛttsja; Venesia veˈnɛsja, outdatedly Venexia veˈnɛzja) is a city in northeastern Italy and the capital of the Veneto region. It is built on a group of 118 small islands that are separated by expanses of open water and by canals; portions of the city are linked by over 400 bridges. The islands are in the shallow Venetian Lagoon, an enclosed bay lying between the mouths of the Po and the Piave rivers (more exactly between the Brenta and the Sile).
Ethics of technologyThe ethics of technology is a sub-field of ethics addressing the ethical questions specific to the Technology Age, the transitional shift in society wherein personal computers and subsequent devices provide for the quick and easy transfer of information. Technology ethics is the application of ethical thinking to the growing concerns of technology as new technologies continue to rise in prominence. The topic has evolved as technologies have developed. Technology poses an ethical dilemma on producers and consumers alike.
Postmodern architecturePostmodern architecture is a style or movement which emerged in the late 1950s as a reaction against the austerity, formality, and lack of variety of modern architecture, particularly in the international style advocated by Philip Johnson and Henry-Russell Hitchcock. The movement was introduced by the architect and urban planner Denise Scott Brown and architectural theorist Robert Venturi in their 1972 book Learning from Las Vegas.
Critical theoryA critical theory is any approach to social philosophy that focuses on society and culture to attempt to reveal, critique, and challenge power structures. With roots in sociology and literary criticism, it argues that social problems stem more from social structures and cultural assumptions than from individuals. It argues that ideology is the principal obstacle to human liberation. Critical theory finds applications in various fields of study, including psychoanalysis, sociology, history, communication theory, philosophy and feminist theory.
