StockholmStockholm (ˈstɔ̂kː(h)ɔlm) is the capital of and most populous city in Sweden as well as the largest urban area in the Nordic countries. Approximately 980,000 people live in the municipality, with 2.1 million in the urban area, and 2.4 million in the metropolitan area. The city stretches across fourteen islands where Lake Mälaren flows into the Baltic Sea. Outside the city to the east, and along the coast, is the island chain of the Stockholm archipelago.
Stockholm BloodbathThe Stockholm Bloodbath (Stockholms blodbad; Det Stockholmske Blodbad) was a trial that led to a series of executions in Stockholm between 7 and 9 November 1520. The event is also known as the Stockholm massacre. The events occurred after the coronation of Christian II as the new king of Sweden, when guests in the crowning party were invited to a meeting at Tre Kronor castle. Archbishop Gustav Trolle, demanding economic compensation for things such as the demolition of Almarestäket's fortress, questioned whether the former Swedish regent Sten Sture the Younger and his supporters had been guilty of heresy.
SwedenSweden, formally the Kingdom of Sweden, is a Nordic country located on the Scandinavian Peninsula in Northern Europe. It borders Norway to the west and north, Finland to the east, and is connected to Denmark in the southwest by a bridgetunnel across the Öresund. At , Sweden is the largest Nordic country, the third-largest country in the European Union, and the fifth-largest country in Europe. The capital and largest city is Stockholm. Sweden has a total population of 10.
Floating-point arithmeticIn computing, floating-point arithmetic (FP) is arithmetic that represents subsets of real numbers using an integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base. Numbers of this form are called floating-point numbers. For example, 12.345 is a floating-point number in base ten with five digits of precision: However, unlike 12.345, 12.3456 is not a floating-point number in base ten with five digits of precision—it needs six digits of precision; the nearest floating-point number with only five digits is 12.
Gamla stanGamla stan (ˈɡâmːla ˈstɑːn, "The Old Town"), until 1980 officially Staden mellan broarna ("The Town between the Bridges"), is the old town of Stockholm, Sweden. Gamla stan consists primarily of the island Stadsholmen. Officially, but not colloquially, Gamla stan includes the surrounding islets Riddarholmen, Helgeandsholmen and Strömsborg. It has a population of approximately 3,000. Notable buildings, located in the old town, include, among others, the Bonde Palace, Stockholm Palace, Stockholm Stock Exchange Building and Tessin Palace.
Decimal floating pointDecimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal (base-10) fractions can avoid the rounding errors that otherwise typically occur when converting between decimal fractions (common in human-entered data, such as measurements or financial information) and binary (base-2) fractions. The advantage of decimal floating-point representation over decimal fixed-point and integer representation is that it supports a much wider range of values.
Monarchy of SwedenThe monarchy of Sweden is centered on the monarchical head of state of Sweden, which is a constitutional and hereditary monarchy with a parliamentary system. There have been kings in what now is the Kingdom of Sweden for more than a millennium. Originally an elective monarchy, it became a hereditary monarchy in the 16th century during the reign of Gustav Vasa, though virtually all monarchs before that belonged to a limited and small number of families which are considered to be the royal dynasties of Sweden.
Entire functionIn complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions sine and cosine and their hyperbolic counterparts sinh and cosh, as well as derivatives and integrals of entire functions such as the error function.
Single-precision floating-point formatSingle-precision floating-point format (sometimes called FP32 or float32) is a computer number format, usually occupying 32 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point. A floating-point variable can represent a wider range of numbers than a fixed-point variable of the same bit width at the cost of precision. A signed 32-bit integer variable has a maximum value of 231 − 1 = 2,147,483,647, whereas an IEEE 754 32-bit base-2 floating-point variable has a maximum value of (2 − 2−23) × 2127 ≈ 3.
Bfloat16 floating-point formatThe bfloat16 (brain floating point) floating-point format is a computer number format occupying 16 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point. This format is a truncated (16-bit) version of the 32-bit IEEE 754 single-precision floating-point format (binary32) with the intent of accelerating machine learning and near-sensor computing. It preserves the approximate dynamic range of 32-bit floating-point numbers by retaining 8 exponent bits, but supports only an 8-bit precision rather than the 24-bit significand of the binary32 format.
Complex analysisComplex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, quantum mechanics, and twistor theory. By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.
Complex planeIn mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the x-axis, called the real axis, is formed by the real numbers, and the y-axis, called the imaginary axis, is formed by the imaginary numbers. The complex plane allows a geometric interpretation of complex numbers. Under addition, they add like vectors.
DialecticDialectic (διαλεκτική, dialektikḗ; Dialektik), also known as the dialectical method, refers originally to dialogue between people holding different points of view about a subject, but wishing to arrive at the truth through reasoned argumentation. Dialectic resembles debate, but the concept excludes subjective elements such as emotional appeal and rhetoric. It has its origins in ancient philosophy and continued to be developed in the Middle Ages. In the modern period, Hegelianism refigured "dialectic" to no longer refer to a literal dialogue.
Dialectical materialismDialectical materialism is a materialist theory based upon the writings of Karl Marx and Friedrich Engels that has found widespread applications in a variety of philosophical disciplines ranging from philosophy of history to philosophy of science. As a materialist philosophy, Marxist dialectics emphasizes the importance of real-world conditions and the presence of functional contradictions within and among social relations, which derive from, but are not limited to the contradictions that occur in social class, labour economics, and socioeconomic interactions.
Lord–bondsman dialecticThe lord–bondsman dialectic (sometimes translated master–slave dialectic) is a famous passage in Georg Wilhelm Friedrich Hegel's Phenomenology of Spirit. It is widely considered a key element in Hegel's philosophical system, and it has heavily influenced many subsequent philosophers. The passage describes, in narrative form, the development of self-consciousness as such in an encounter between what are thereby (i.e., emerging only from this encounter) two distinct, self-conscious beings.
Complex systemA complex system is a system composed of many components which may interact with each other. Examples of complex systems are Earth's global climate, organisms, the human brain, infrastructure such as power grid, transportation or communication systems, complex software and electronic systems, social and economic organizations (like cities), an ecosystem, a living cell, and ultimately the entire universe.
Critique of Dialectical ReasonCritique of Dialectical Reason (Critique de la raison dialectique) is a 1960 book by the philosopher Jean-Paul Sartre, in which the author further develops the existentialist Marxism he first expounded in his essay Search for a Method (1957). Critique of Dialectical Reason and Search for a Method were written as a common manuscript, with Sartre intending the former to logically precede the latter. Critique of Dialectical Reason was Sartre's second large-scale philosophical treatise, Being and Nothingness (1943) having been the first.
Chrysler BuildingThe Chrysler Building is an Art Deco skyscraper on the East Side of Manhattan in New York City, at the intersection of 42nd Street and Lexington Avenue in Midtown Manhattan. At , it is the tallest brick building in the world with a steel framework, and it was the world's tallest building for 11 months after its completion in 1930. , the Chrysler is the 12th-tallest building in the city, tied with The New York Times Building. Originally a project of real estate developer and former New York State Senator William H.
Self-assemblySelf-assembly is a process in which a disordered system of pre-existing components forms an organized structure or pattern as a consequence of specific, local interactions among the components themselves, without external direction. When the constitutive components are molecules, the process is termed molecular self-assembly. Self-assembly can be classified as either static or dynamic. In static self-assembly, the ordered state forms as a system approaches equilibrium, reducing its free energy.