Einstein field equationsIn the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were published by Albert Einstein in 1915 in the form of a tensor equation which related the local (expressed by the Einstein tensor) with the local energy, momentum and stress within that spacetime (expressed by the stress–energy tensor).
Differential equationIn mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.
Proof calculusIn mathematical logic, a proof calculus or a proof system is built to prove statements. A proof system includes the components: Language: The set L of formulas admitted by the system, for example, propositional logic or first-order logic. Rules of inference: List of rules that can be employed to prove theorems from axioms and theorems. Axioms: Formulas in L assumed to be valid. All theorems are derived from axioms. Usually a given proof calculus encompasses more than a single particular formal system, since many proof calculi are under-determined and can be used for radically different logics.
LaceLace is a delicate fabric made of yarn or thread in an open weblike pattern, made by machine or by hand. Generally, lace is divided into two main categories, needlelace and bobbin lace, although there are other types of lace, such as knitted or crocheted lace. Other laces such as these are considered as a category of their specific craft. Knitted lace, therefore, is an example of knitting. This article considers both needle lace and bobbin lace.
System of linear equationsIn mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. For example, is a system of three equations in the three variables x, y, z. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied. A solution to the system above is given by the ordered triple since it makes all three equations valid. The word "system" indicates that the equations should be considered collectively, rather than individually.
FireFire is the rapid oxidation of a material (the fuel) in the exothermic chemical process of combustion, releasing heat, light, and various reaction products. At a certain point in the combustion reaction, called the ignition point, flames are produced. The flame is the visible portion of the fire. Flames consist primarily of carbon dioxide, water vapor, oxygen and nitrogen. If hot enough, the gases may become ionized to produce plasma. Depending on the substances alight, and any impurities outside, the color of the flame and the fire's intensity will be different.
Proof assistantIn computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human-machine collaboration. This involves some sort of interactive proof editor, or other interface, with which a human can guide the search for proofs, the details of which are stored in, and some steps provided by, a computer. A recent effort within this field is making these tools use artificial intelligence to automate the formalization of ordinary mathematics.
Bobbin laceBobbin lace is a lace textile made by braiding and twisting lengths of thread, which are wound on bobbins to manage them. As the work progresses, the weaving is held in place with pins set in a lace pillow, the placement of the pins usually determined by a pattern or pricking pinned on the pillow. Bobbin lace is also known as pillow lace, because it was worked on a pillow, and bone lace, because early bobbins were made of bone or ivory. Bobbin lace is one of the two major categories of handmade laces, the other being needle lace, derived from earlier cutwork and reticella.
Fire safetyFire safety is the set of practices intended to reduce destruction caused by fire. Fire safety measures include those that are intended to prevent the ignition of an uncontrolled fire and those that are used to limit the spread and impact of a fire. Fire safety measures include those that are planned during the construction of a building or implemented in structures that are already standing and those that are taught or provided to occupants of the building. Threats to fire safety are commonly referred to as fire hazards.
Fire triangleThe fire triangle or combustion triangle is a simple model for understanding the necessary ingredients for most fires. The triangle illustrates the three elements a fire needs to ignite: heat, fuel, and an oxidizing agent (usually oxygen). A fire naturally occurs when the elements are present and combined in the right mixture. A fire can be prevented or extinguished by removing any one of the elements in the fire triangle. For example, covering a fire with a fire blanket blocks oxygen and can extinguish a fire.
Fire ecologyFire ecology is a scientific discipline concerned with natural processes involving fire in an ecosystem and the ecological effects, the interactions between fire and the abiotic and biotic components of an ecosystem, and the role as an ecosystem process. Many ecosystems, particularly prairie, savanna, chaparral and coniferous forests, have evolved with fire as an essential contributor to habitat vitality and renewal. Many plant species in fire-affected environments use fire to germinate, establish, or to reproduce.
Fire worshipWorship or deification of fire (also pyrodulia, pyrolatry or pyrolatria) is known from various religions. Fire has been an important part of human culture since the Lower Paleolithic. Religious or animist notions connected to fire are assumed to reach back to such early prehuman times. In Indo-European languages, there were two concepts regarding fire: that of an animate type called *h1n̥gwnís (cf. Sanskrit agni, English ignite from Latin ignis, Polish ogień and Russian ogon), and an inanimate type *péh2wr̥ (cf.
