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93,300 | A proof of the above theorem is given in the article on metrizable topological vector spaces. If U ∙ = ( U i ) i ∈ N {\displaystyle U_{\bullet }=\left(U_{i}\right)_{i\in \mathbb {N} }} and V ∙ = ( V i ) i ∈ N {\displaystyle V_{\bullet }=\left(V_{i}\right)_{i\in \mathbb {N} }} are two collections of subsets of a vector ... | Linear topological space | 0.77972 |
93,301 | Domain in the realm of software engineering commonly refers to the subject area on which the application is intended to apply. In other words, during application development, the domain is the "sphere of knowledge and activity around which the application logic revolves." —Andrew Powell-Morse Domain: A sphere of knowle... | Domain (software engineering) | 0.77972 |
93,302 | A domain is the targeted subject area of a computer program. It is a term used in software engineering. Formally it represents the target subject of a specific programming project, whether narrowly or broadly defined. For example, for a particular programming project that has as a goal the creation of a program for a p... | Domain (software engineering) | 0.77972 |
93,303 | Reproductive synchrony is a term used in evolutionary biology and behavioral ecology. Reproductive synchrony—sometimes termed "ovulatory synchrony"—may manifest itself as "breeding seasonality". Where females undergo regular menstruation, "menstrual synchrony" is another possible term. | Reproductive synchrony | 0.779719 |
93,304 | AstroPrint – AstroPrint's wireless 3D printing software can be run on the Pi 2. C/C++ Interpreter Ch – Released 3 January 2017, C/C++ interpreter Ch and Embedded Ch are released free for non-commercial use for Raspberry Pi, ChIDE is also included for the beginners to learn C/C++. Minecraft – Released 11 February 2013, ... | Raspberry Pi | 0.779719 |
93,305 | As of January 2012, enquiries about the board in the United Kingdom have been received from schools in both the state and private sectors, with around five times as much interest from the latter. It is hoped that businesses will sponsor purchases for less advantaged schools. The CEO of Premier Farnell said that the gov... | Raspberry Pi | 0.779719 |
93,306 | Xojo – a cross-platform RAD tool that can create desktop, web and console apps for Pi 2 and Pi 3. C-STEM Studio – a platform for hands-on integrated learning of computing, science, technology, engineering, and mathematics (C-STEM) with robotics. Erlang – a functional language for building concurrent systems with light-... | Raspberry Pi | 0.779719 |
93,307 | The latest version compatible with the 2B is 1.6. Squeak Smalltalk – a full-scale open Smalltalk. TensorFlow – an artificial intelligence framework developed by Google. | Raspberry Pi | 0.779719 |
93,308 | Raspberry Pi () is a series of small single-board computers (SBCs) developed in the United Kingdom by the Raspberry Pi Foundation in association with Broadcom. The Raspberry Pi project originally leaned toward the promotion of teaching basic computer science in schools. The original model became more popular than antic... | Raspberry Pi | 0.779719 |
93,309 | 2 February 2015 – The official Raspberry Pi blog announced the Raspberry Pi 2. Looking like a Model B+, it has a 900 MHz quad-core ARMv7 Cortex-A7 CPU, twice the memory (for a total of 1 GB) and complete compatibility with the original generation of Raspberry Pis. 14 May 2015 – The price of Model B+ was decreased from ... | Raspberry Pi | 0.779719 |
93,310 | Simon Rockman, writing in a ZDNet blog, was of the opinion that teens will have "better things to do", despite what happened in the 1980s.In October 2012, the Raspberry Pi won T3's Innovation of the Year award, and futurist Mark Pesce cited a (borrowed) Raspberry Pi as the inspiration for his ambient device project Moo... | Raspberry Pi | 0.779719 |
93,311 | It is widely used in many areas, such as for weather monitoring, because of its low cost, modularity, and open design. It is typically used by computer and electronic hobbyists, due to its adoption of the HDMI and USB standards. After the release of the second board type, the Raspberry Pi Foundation set up a new entity... | Raspberry Pi | 0.779719 |
93,312 | The growing demand for renewable energy has resulted in global adoption and rapid expansion of wind turbine technology. Wind Turbines are typically designed to reach a 20-year life, however, due to the complex loading and environment in which they operate wind turbines rarely operate to that age without significant rep... | Wind turbine prognostics | 0.779716 |
93,313 | By trending the GHE over time, performance prediction can be made when unit revenue will drop below a predetermined break-even threshold. Maintenance should be triggered and directed to components with low LDE values. LDE is computed based on measurements from condition monitoring system (CMS) and SCADA, and is used to... | Wind turbine prognostics | 0.779716 |
93,314 | Non-relativistic quantum electrodynamics (NRQED) is a low energy approximation of quantum electrodynamics which describes the interaction of (non-relativistic, i.e. moving at speeds much smaller than the speed of light) spin one-half particles (e.g., electrons) with the quantized electromagnetic field. NRQED is an effe... | Non-relativistic quantum electrodynamics | 0.779715 |
93,315 | The WIYN Observatory is owned and operated by the WIYN Consortium. Its 3.5-meter telescope is the second largest optical telescope at Kitt Peak National Observatory in Arizona. Most of the capital costs for the observatory were provided by the University of Wisconsin–Madison, Indiana University, and Yale University, wh... | WIYN Observatory | 0.779714 |
93,316 | In molecular biology, Phosphotyrosine-binding domains are protein domains which bind to phosphotyrosine. The phosphotyrosine-binding domain (PTB, also phosphotyrosine-interaction or PI domain) in the protein tensin tends to be found at the C-terminus. Tensin is a multi-domain protein that binds to actin filaments and f... | PTB domain | 0.779714 |
93,317 | BCS: 50 Years is a review volume edited by Leon Cooper, a 1972 Nobel Laureate in Physics, and Dmitri Feldman of Brown University, first published in 2010.The book consists of 23 articles written by outstanding physicists, including many Nobel prize-winners, and presents the complete theory of superconductivity - a phen... | BCS: 50 Years | 0.779713 |
93,318 | John Swain writing for CERN Courier describes the book as a wonderful review of a powerful unifying concept which covers an enormous range of phenomena. Malcolm Beasley for Physics Today adds that the book will provide any person curious about superconductivity with something to enjoy. In addition, Jermey Matthews, the... | BCS: 50 Years | 0.779713 |
93,319 | Sixty years ago, in 1957, John Bardeen, Leon Cooper and John Robert Schrieffer finally pieced together the puzzle of superconductivity, explaining in detail its mechanism and the associated effects. The BCS theory, named after the three scientists, won Professor Cooper the Nobel Prize in Physics in 1972, which he share... | BCS: 50 Years | 0.779713 |
93,320 | 13 papers from the book have been published concurrently as a special issue of the International Journal of Modern Physics B. | BCS: 50 Years | 0.779713 |
93,321 | Malignant cells often evolve due to a combination of reasons rather than one definitive reason. Reasons which can explain their development include genetics and family history, triggers such as infectious diseases, and exposure to risk factors. | Malignant cells | 0.779709 |
93,322 | The journal is abstracted and indexed in Chemical Abstracts Service, Scopus, ProQuest, PubMed, CABI, and the Science Citation Index Expanded. According to the Journal Citation Reports, the Journal of Agricultural and Food Chemistry has a 2015 impact factor of 4.192. | Journal of Agricultural and Food Chemistry | 0.779706 |
93,323 | The Journal of Agricultural and Food Chemistry is a weekly peer-reviewed scientific journal established in 1953 by the American Chemical Society. Since 2015, Thomas Hofmann (Technical University of Munich) has been the editor-in-chief.The journal covers research dealing with the chemistry and biochemistry of agricultur... | Journal of Agricultural and Food Chemistry | 0.779706 |
93,324 | The Henry reaction is a classic carbon–carbon bond formation reaction in organic chemistry. Discovered in 1895 by the Belgian chemist Louis Henry (1834–1913), it is the combination of a nitroalkane and an aldehyde or ketone in the presence of a base to form β-nitro alcohols. This type of reaction is also referred to as... | Nitroaldol reaction | 0.779703 |
93,325 | The Henry reaction is a useful technique in the area of organic chemistry due to the synthetic utility of its corresponding products, as they can be easily converted to other useful synthetic intermediates. These conversions include subsequent dehydration to yield nitroalkenes, oxidation of the secondary alcohol to yie... | Nitroaldol reaction | 0.779703 |
93,326 | In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains). Specifically, they are the inverses of the sine, cosine, tangent, cotangent, s... | Arc (function prefix) | 0.779703 |
93,327 | The General Services Administration (GSA) has standardized the "penetration test" service as a pre-vetted support service, to rapidly address potential vulnerabilities, and stop adversaries before they impact US federal, state and local governments. These services are commonly referred to as Highly Adaptive Cybersecuri... | Penetration testers | 0.779703 |
93,328 | In the UK key government data sources include ONS Neighbourhood Statistics, CLG, Dept for Work and Pensions, NOMIS, Audit Commission and several areas of NHS information services. However the real value of LIS is their ability to combine national data with local data available from a wide range of internal business sys... | Local information systems | 0.779702 |
93,329 | They provide a wide range of statistics and reports allowing users to review the current evidence base and build a picture of localities and neighbourhoods for their area of interest. LIS are commonly used by partnerships where they need to come together to provide joined-up services for a common area. The ability to h... | Local information systems | 0.779702 |
93,330 | In the UK, like many other countries, there has been a rapid growth in the availability of small area statistics. National Neighbourhood Statistics projects across the UK, set up as a result of the PAT 18 report, have opened up access to a wide range of government small area based statistics. This has been accompanied ... | Local information systems | 0.779702 |
93,331 | Measurable factors in cellular analysis and flow cytometry include a diverse set of traits and indicators that provide important insights into cell biology and function. Flow cytometry techniques can quantify and evaluate these factors, allowing researchers to investigate and analyze various aspects of cells. Here are ... | Fluorescent-activated cell sorting | 0.779701 |
93,332 | It is widely used in biochemistry for the precipitation of macromolecules, such as proteins, DNA, and RNA. TCA and DCA are both used in cosmetic treatments (such as chemical peels and tattoo removal) and as topical medication for chemoablation of warts, including genital warts. It can kill normal cells as well. It is c... | Trichloroacetic acid | 0.7797 |
93,333 | Ocean deoxygenation is an additional stressor on marine life. Ocean deoxygenation is the expansion of oxygen minimum zones in the oceans as a consequence of burning fossil fuels. The change has been fairly rapid and poses a threat to fish and other types of marine life, as well as to people who depend on marine life fo... | Human impact on marine life | 0.779699 |
93,334 | William H. Fishman, M.D., Ph.D., and his wife, Lillian Waterman Fishman, founded the La Jolla Cancer Research Foundation in 1976 after retiring from Tufts University School of Medicine. The Foundation focused on onco-development, the study of developmental biology in conjunction with oncology. In 1996, the foundation w... | Sanford Burnham Prebys Medical Discovery Institute | 0.779696 |
93,335 | Using model organisms—mice, fish, flies, worms and human stem cells to Unravel gene functions linked to mutations and epigenetic factors; Explore the development and regenerative capacity of the brain, heart, muscles, pancreas, limbs, liver and other organs; and Probe the biology of aging and organ/tissue maintenance t... | Sanford Burnham Prebys Medical Discovery Institute | 0.779696 |
93,336 | Sanford Burnham Prebys also employs postdoctoral fellows; there are typically around 125 postdocs training at the Institute at any time. The graduate school is focused in biomedical research and is supplemented by the technologies developed to facilitate breakthroughs in medical practice. The program offers a foundatio... | Sanford Burnham Prebys Medical Discovery Institute | 0.779696 |
93,337 | Focus on RNA biology and the signaling pathways that regulate cell growth and cell fate; what drives cancer cell growth, to lead to treatments for brain, breast and prostate cancers, as well as melanoma and leukemia. | Sanford Burnham Prebys Medical Discovery Institute | 0.779696 |
93,338 | Several drugs have been brought to the clinic for the treatment of cancer and other diseases based on the fundamental RGD/integrin and apoptosis studies at the institute. More recently, the institute has expanded its research to several additional areas, including neuroscience, cardiovascular diseases, rare diseases of... | Sanford Burnham Prebys Medical Discovery Institute | 0.779696 |
93,339 | Research staff in Sanford Burnham Prebys’ laboratories numbers over 520 including postdoctoral researchers; an additional 30 graduate students and 164 administrative and support personnel to bring the total number of employees to over 500. The institute is home to six research centers: NCI-designated Cancer Center Infe... | Sanford Burnham Prebys Medical Discovery Institute | 0.779696 |
93,340 | The Institute initially focused on the commonalities between cancer and fetal development, known as onco-developmental biology. Significant early discoveries include development of monoclonal antibody-based ‘two-site’ ELISA. In the 1980s, the Institute became known for its work on fibronectin and other extracellular ma... | Sanford Burnham Prebys Medical Discovery Institute | 0.779696 |
93,341 | The VA's coil receives an even lower amount of power from this signal even at distances on the order of several meters. Multiple sensors in the VA use this signal to triangulate the pad and display targeting information to the driver on an in-car display.The existing test harness for the GA uses a circular topology for... | SAE J2954 | 0.779694 |
93,342 | The positive payoff of fuzzy pay-off simply is the mean of the positive area of the fuzzy NPV, or E {\displaystyle E} . Likewise, the positive payoff for the DM Range Option is the mean of the right tail (MT), or ( 2 X 0 + b ) 3 {\displaystyle {\tfrac {\left(2X_{0}+b\right)}{3}}} less the strike price X 0 {\displaysty... | Datar–Mathews method for real option valuation | 0.779693 |
93,343 | The fuzzy pay-off method for real option valuation, created in 2009, provides another accessible approach to real option valuation. Though each use differing mathematical methods (Fuzzy: fuzzy logic; DM: numerical simulation and geometry) the underlying principal is strikingly similar: the likelihood of a positive payo... | Datar–Mathews method for real option valuation | 0.779693 |
93,344 | {\displaystyle {\text{Note: }}\mu =0.5*\ln(a+b){\text{, }}\sigma =0.25*\ln(b/a){\text{, and }}UR={\sqrt {e^{\sigma ^{2}}-1}}.} Use of a DM Range Option facilitates the application of real option valuation to future project investments. The DM Range Option provides an estimate of valuation that differs marginally with t... | Datar–Mathews method for real option valuation | 0.779693 |
93,345 | The DM real option can be considered a generalized form for option valuation. Its simulation produces a truncated present value distribution of which the mean value is interpreted to be the option value. With certain boundary conditions, the DM option can be reformulated algebraically as a conditional expectation of a ... | Datar–Mathews method for real option valuation | 0.779693 |
93,346 | The DM Method may be implemented using Monte-Carlo simulation, or in a simplified algebraic or other form (see the Range Option below). Using simulation, for each sample, the engine draws a random variable from both S ~ T and X ~ T , {\displaystyle {\tilde {S}}_{T}{\text{ and }}{\tilde {X}}_{T},} calculates their prese... | Datar–Mathews method for real option valuation | 0.779693 |
93,347 | The Black–Scholes option formula (as well as the binomial lattice) is a special case of the simulated DM real option. With subtle, but notable differences, the logarithmic form of the DM Option can be algebraically transformed into The Black-Scholes option formula. The real option valuation is based on an approximation... | Datar–Mathews method for real option valuation | 0.779693 |
93,348 | This theorem is a consequence of the pigeonhole principle. Peter Gustav Lejeune Dirichlet who proved the result used the same principle in other contexts (for example, the Pell equation) and by naming the principle (in German) popularized its use, though its status in textbook terms comes later. The method extends to s... | Dirichlet's theorem on diophantine approximation | 0.779692 |
93,349 | Another simple proof of the Dirichlet's approximation theorem is based on Minkowski's theorem applied to the set S = { ( x , y ) ∈ R 2: − N − 1 2 ≤ x ≤ N + 1 2 , | α x − y | ≤ 1 N } . {\displaystyle S=\left\{(x,y)\in \mathbb {R} ^{2}:-N-{\frac {1}{2}}\leq x\leq N+{\frac {1}{2}},\vert \alpha x-y\vert \leq {\frac {1}{N}}... | Dirichlet's theorem on diophantine approximation | 0.779692 |
93,350 | This is a fundamental result in Diophantine approximation, showing that any real number has a sequence of good rational approximations: in fact an immediate consequence is that for a given irrational α, the inequality 0 < | α − p q | < 1 q 2 {\displaystyle 0<\left|\alpha -{\frac {p}{q}}\right|<{\frac {1}{q^{2}}}} is sa... | Dirichlet's theorem on diophantine approximation | 0.779692 |
93,351 | In number theory, Dirichlet's theorem on Diophantine approximation, also called Dirichlet's approximation theorem, states that for any real numbers α {\displaystyle \alpha } and N {\displaystyle N} , with 1 ≤ N {\displaystyle 1\leq N} , there exist integers p {\displaystyle p} and q {\displaystyle q} such that 1 ≤ q ≤ ... | Dirichlet's theorem on diophantine approximation | 0.779692 |
93,352 | Handbook of Nanostructured Materials and Nanotechnology; Nalwa, H.S., Ed. ; Academic Press: New York, NY, USA, 2000; Volume 5, pp. 501–575 | Emulsion | 0.779691 |
93,353 | In geology, soil liquefaction refers to the process by which water-saturated, unconsolidated sediments are transformed into a substance that acts like a liquid, often in an earthquake. Soil liquefaction was blamed for building collapses in the city of Palu, Indonesia in October 2018.In a related phenomenon, liquefactio... | Liquefaction | 0.779685 |
93,354 | In materials science, liquefaction is a process that generates a liquid from a solid or a gas or that generates a non-liquid phase which behaves in accordance with fluid dynamics. It occurs both naturally and artificially. As an example of the latter, a "major commercial application of liquefaction is the liquefaction ... | Liquefaction | 0.779685 |
93,355 | In biology, liquefaction often involves organic tissue turning into a more liquid-like state. For example, liquefactive necrosis in pathology, or liquefaction as a parameter in semen analysis. | Liquefaction | 0.779685 |
93,356 | In physics and chemistry, the phase transitions from solid and gas to liquid (melting and condensation, respectively) may be referred to as liquefaction. The melting point (sometimes called liquefaction point) is the temperature and pressure at which a solid becomes a liquid. In commercial and industrial situations, th... | Liquefaction | 0.779685 |
93,357 | In organic chemistry, a bisthiosemicarbazone is a derivative from an elimination reaction between a thiosemicarbazide and a diketone. Their structure is H2NHC(=S)NN=C(R1)−R2−C(R3)=NNHC(=S)NH2. A 'thiosemicarbazone' contains a sulfur atom in lieu of the ketonic oxygen in semicarbazone. Bisthiosemicarbazones are known to... | Bisthiosemicarbazone | 0.779684 |
93,358 | The time of divergence between archaic H. sapiens and ancestors of Neanderthals and Denisovans caused by a genetic bottleneck of the latter was dated at 744,000 years ago, combined with repeated early admixture events and Denisovans diverging from Neanderthals 300 generations after their split from H. sapiens, as calcu... | Anatomically modern humans | 0.779683 |
93,359 | If f(n) is an arithmetic function (i.e. a complex-valued function of the integers or natural numbers), then a convergent infinite series of the form: f ( n ) = ∑ q = 1 ∞ a q c q ( n ) {\displaystyle f(n)=\sum _{q=1}^{\infty }a_{q}c_{q}(n)} or of the form: f ( q ) = ∑ n = 1 ∞ a n c q ( n ) {\displaystyle f(q)=\sum _{n=1... | Ramanujan's sum | 0.779681 |
93,360 | In number theory, Ramanujan's sum, usually denoted cq(n), is a function of two positive integer variables q and n defined by the formula c q ( n ) = ∑ 1 ≤ a ≤ q ( a , q ) = 1 e 2 π i a q n , {\displaystyle c_{q}(n)=\sum _{1\leq a\leq q \atop (a,q)=1}e^{2\pi i{\tfrac {a}{q}}n},} where (a, q) = 1 means that a only takes ... | Ramanujan's sum | 0.779681 |
93,361 | In mathematics, Raynaud's isogeny theorem, proved by Raynaud (1985), relates the Faltings heights of two isogeneous elliptic curves. | Raynaud's isogeny theorem | 0.779679 |
93,362 | The use of pions in medical radiation therapy, such as for cancer, was explored at a number of research institutions, including the Los Alamos National Laboratory's Meson Physics Facility, which treated 228 patients between 1974 and 1981 in New Mexico, and the TRIUMF laboratory in Vancouver, British Columbia. | Pion | 0.779678 |
93,363 | In the standard understanding of the strong force interaction as defined by quantum chromodynamics, pions are loosely portrayed as Goldstone bosons of spontaneously broken chiral symmetry. That explains why the masses of the three kinds of pions are considerably less than that of the other mesons, such as the scalar or... | Pion | 0.779678 |
93,364 | Since they had access to the stronger cyclotron at Paris at this point, Hahn's group would likely have been able to detect element 94 had they tried, albeit in tiny quantities (a few becquerels).Neptunium's unique radioactive characteristics allowed it to be traced as it moved through various compounds in chemical reac... | Neptunium | 0.779677 |
93,365 | However, as neptunium does in fact occur in nature in trace amounts, as demonstrated when it was found in uranium ore in 1952, it is possible that Hulubei and Cauchois did in fact observe neptunium.Although by 1938 some scientists, including Niels Bohr, were still reluctant to accept that Fermi had actually produced a ... | Neptunium | 0.779677 |
93,366 | There is much interest in the coordination chemistry of neptunium, because its five oxidation states all exhibit their own distinctive chemical behavior, and the coordination chemistry of the actinides is heavily influenced by the actinide contraction (the greater-than-expected decrease in ionic radii across the actini... | Neptunium | 0.779677 |
93,367 | Guide to the Elements – Revised Edition, Albert Stwertka, (Oxford University Press; 1998) ISBN 0-19-508083-1 Lester R. Morss, Norman M. Edelstein, Jean Fuger (Hrsg. ): The Chemistry of the Actinide and Transactinide Elements, Springer-Verlag, Dordrecht 2006, ISBN 1-4020-3555-1. Ida Noddack (1934). | Neptunium | 0.779677 |
93,368 | Shortly after this, Abelson, who had received his graduate degree from the university, visited Berkeley for a short vacation and McMillan asked the more able chemist to assist with the separation of the experiment's results. Abelson very quickly observed that whatever was producing the 2.3-day half-life did not have ch... | Neptunium | 0.779677 |
93,369 | McMillan took the results of his experiment to chemist and fellow Berkeley professor Emilio Segrè to attempt to isolate the source of the radioactivity. Both scientists began their work using the prevailing theory that element 93 would have similar chemistry to rhenium, but Segrè rapidly determined that McMillan's samp... | Neptunium | 0.779677 |
93,370 | For Young’s modulus E, ideal stretch-dominated scaling with density ρ follows a proportional law E∝ρ, while common stochastic foams follow a quadratic law E∝ρ2 otherwise associated with transverse beam bending-dominated behavior. At ultralight densities a further reduced cubic scaling law E∝ρ3 is common, such as with a... | Reversibly assembled cellular composite materials | 0.779676 |
93,371 | Three-dimensional open-cell lattice materials occur in natural and engineered systems, spanning many length scales. Their mechanical properties scale with relative density according to the geometry. They display either stretch-dominated or transverse beam bending-dominated microstructural behavior, based on periodic me... | Reversibly assembled cellular composite materials | 0.779676 |
93,372 | Reversibly assembled cellular composite materials (RCCM) are three-dimensional lattices of modular structures that can be partially disassembled to enable repairs or other modifications. Each cell incorporates structural material and a reversible interlock, allowing lattices of arbitrary size and shape. RCCM display th... | Reversibly assembled cellular composite materials | 0.779676 |
93,373 | Site locations are locally constrained, yielding structures that merge desirable features of carbon fiber composites, cellular materials and additive manufacturing.Nonlinear elastic behavior derives from a multi-axial elastic instability of the lattice, a complex coordinated elastic buckling of the strut members. The r... | Reversibly assembled cellular composite materials | 0.779676 |
93,374 | Making the connections stiffer and stronger than the strut members means that stress response is governed by the struts. Extending dimensional scaling methods to include the connections shows that the mass density cost of robust connections – which scale with the strut's cross-sectional area – is low for ultralight mat... | Reversibly assembled cellular composite materials | 0.779676 |
93,375 | The communication model supports the topology of one or more Agents communicating over point-to-point connections to a single Manager. The IEEE 11073 standards are transport-independent and assume that a transport layer (such as Bluetooth or Zigbee) can be established between an Agent and a Manager by some mechanism th... | ISO/IEEE 11073 Personal Health Data Standards | 0.779675 |
93,376 | SYBR Safe is a cyanine dye used as a nucleic acid stain in molecular biology. SYBR Safe is one of a number of SYBR dyes made by the Life Technologies Corporation. SYBR Safe binds to DNA. The resulting DNA-dye-complex absorbs blue light (λmax = 509 nm) and emits green light (λmax = 524 nm). | SYBR Safe | 0.779675 |
93,377 | To solve multivariable contour integrals (i.e. surface integrals, complex volume integrals, and higher order integrals), we must use the divergence theorem. For right now, let ∇ {\displaystyle \nabla } be interchangeable with Div {\displaystyle \operatorname {Div} } . These will both serve as the divergence of the vect... | Contour integration | 0.779674 |
93,378 | This section treats a type of integral of which is an example. To calculate this integral, one uses the function and the branch of the logarithm corresponding to −π < arg z ≤ π. We will calculate the integral of f(z) along the keyhole contour shown at right. As it turns out this integral is a multiple of the initial in... | Contour integration | 0.779674 |
93,379 | Let the vector field F = u 4 e u + x 5 e x + y 6 e y + z − 3 e z {\displaystyle \mathbf {F} =u^{4}\mathbf {e} _{u}+x^{5}\mathbf {e} _{x}+y^{6}\mathbf {e} _{y}+z^{-3}\mathbf {e} _{z}} , and remark that there are 4 parameters in this case. Let this vector field be bounded by the following: To evaluate this, we must utili... | Contour integration | 0.779674 |
93,380 | As a refresher, the residue theorem states where Res {\displaystyle \operatorname {Res} } is the residue of f ( z ) {\displaystyle f(z)} . f ( z ) {\displaystyle f(z)} has only one pole, 0 {\displaystyle 0} . From that, we can determine the residue of f ( z ) {\displaystyle f(z)} to be 1 2 {\displaystyle {\tfrac {1}{2}... | Contour integration | 0.779674 |
93,381 | Using the residue theorem, we can evaluate closed contour integrals. The following are examples on evaluating contour integrals with the residue theorem. Using the residue theorem, let's evaluate this contour integral. | Contour integration | 0.779674 |
93,382 | The Higher Education Statistics Agency (HESA) was the official agency for the collection, analysis and dissemination of quantitative information about higher education in the United Kingdom. HESA became a directorate of Jisc after a merger in 2022. HESA was set up by agreement between the relevant government department... | Higher Education Statistics Agency | 0.779674 |
93,383 | HESA published statistics and analyses based on the data it collects: Statistical Bulletins – Official Statistics outputs summarising each data stream Annual open data releases – detailed statistical tables Performance Indicators – comparative data on the performance of HEIs in Widening participation, student retention... | Higher Education Statistics Agency | 0.779674 |
93,384 | Techniques that help to minimize bacterial colony growth within UPW streams include occasional chemical or steam sanitization (which is common in the pharmaceutical industry), ultrafiltration (found in some pharmaceutical, but mostly semiconductor industries), ozonation, and optimization of piping system designs that p... | Ultrapure water | 0.779673 |
93,385 | Silica analysis in UPW typically includes determination of reactive and total silica. Due to the complexity of silica chemistry, the form of silica measured is defined by the photometric (colorimetric) method as molybdate-reactive silica. Those forms of silica that are molybdate-reactive include dissolved simple silica... | Ultrapure water | 0.779673 |
93,386 | The filter must be robust to withstand the pressure and low cycling, and must continue to retain captured particles throughout the service life of the filter. This requires proper pleat design and geometry, as well as media designed to optimized particle capture and retention. Certain tools may use a fixed filter housi... | Ultrapure water | 0.779673 |
93,387 | Particles in UPW are critical contaminants, which result in numerous forms of defects on wafer surfaces. With the large volume of UPW, which comes into contact with each wafer, particle deposition on the wafer readily occurs. Once deposited, the particles are not easily removed from the wafer surfaces. With the increas... | Ultrapure water | 0.779673 |
93,388 | TeXmacs has back-ends supporting many technologies. Programming languages: CLISP, CMUCL, Python, QCL, R, Shell Computer algebra systems: Axiom, Giac, Macaulay 2, Mathematica, Maxima, MuPAD, PARI/GP, Reduce, SageMath, Yacas Numeric matrix systems: GNU Octave, Matlab, Scilab Plotting packages: gnuplot, Graphviz, XYpic, M... | GNU TeXmacs | 0.77967 |
93,389 | There is a converter for MathML as well, and TeXmacs can output PDF and PostScript for printing.TeXmacs can handle mathematical formulas, tables, images, cross-references and citations. It can be used as a front-end to a number of computer algebra systems such as Maxima, FriCAS and SageMath, and can in turn integrate s... | GNU TeXmacs | 0.77967 |
93,390 | The introduction of an impedance that connects amplifier input and output ports adds a great deal of complexity in the analysis process. Miller theorem helps reduce the complexity in some circuits particularly with feedback by converting them to simpler equivalent circuits. But Miller theorem is not only an effective t... | Miller's theorem | 0.77967 |
93,391 | Dual Miller theorem is usually implemented by an arrangement consisting of two voltage sources supplying the grounded impedance Z {\displaystyle Z} through floating impedances (see Fig. 3). The combinations of the voltage sources and belonging impedances form the two current sources – the main and the auxiliary one. As... | Miller's theorem | 0.77967 |
93,392 | Dual Miller theorem actually expresses the fact that connecting a second current source producing proportional current I 2 = K I 1 {\displaystyle I_{2}=KI_{1}} in parallel with the main input source and the impedance element changes the current flowing through it, the voltage and accordingly, the circuit impedance seen... | Miller's theorem | 0.77967 |
93,393 | As the main Miller theorem, besides helping circuit analysis process, the dual version is a powerful tool for designing and understanding circuits based on modifying impedance by additional current. Typical applications are some exotic circuits with negative impedance as load cancellers, capacitance neutralizers, Howla... | Miller's theorem | 0.77967 |
93,394 | Besides by presenting the combination of the two voltage sources as a new composed voltage source, the theorem may be explained by combining the actual element and the second voltage source into a new virtual element with dynamically modified impedance. From this viewpoint, V 2 {\displaystyle V_{2}} is an additional vo... | Miller's theorem | 0.77967 |
93,395 | {\displaystyle Z_{in}={\frac {V_{1}}{I_{in}}}={\frac {Z}{1-K}}.} So, the Miller theorem expresses the fact that connecting a second voltage source with proportional voltage V 2 = K V 1 {\displaystyle V_{2}=K{V_{1}}} in series with the input voltage source changes the effective voltage, the current and respectively, the... | Miller's theorem | 0.77967 |
93,396 | The Miller theorem implies that an impedance element is supplied by two arbitrary (not necessarily dependent) voltage sources that are connected in series through the common ground. In practice, one of them acts as a main (independent) voltage source with voltage V 1 {\displaystyle V_{1}} and the other – as an addition... | Miller's theorem | 0.77967 |
93,397 | Most frequently, the Miller theorem may be observed in, and implemented by, an arrangement consisting of an element with impedance Z {\displaystyle Z} connected between the two terminals of a grounded general linear network. Usually, a voltage amplifier with gain of A V = K {\displaystyle A_{V}=K} serves as such a line... | Miller's theorem | 0.77967 |
93,398 | A GYF domain is also found in several other eukaryotic proteins of unknown function. It has been proposed that the GYF domain found in these proteins could also be involved in proline-rich sequence recognition. Resolution of the structure of the CD2BP2 GYF domain by NMR spectroscopy revealed a compact domain with a bet... | GYF domain | 0.779668 |
93,399 | In molecular biology, the GYF domain (glycine-tyrosine-phenylalanine domain) is an approximately 60-amino acid protein domain which contains a conserved GPxxxxxxWxxxYF motif. It was identified in the human intracellular protein termed CD2 binding protein 2 (CD2BP2), which binds to a site containing two tandem PPPGHR se... | GYF domain | 0.779668 |
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