###### gases

- At normal conditions such as standard temperature and pressure , most real gases behave qualitatively like an ideal gas. (princeton.edu)
- Many gases such as air , nitrogen , oxygen , hydrogen , noble gases , and some heavier gases like carbon dioxide can be treated like ideal gases within reasonable tolerances. (princeton.edu)
- Useful visualization tool when discussing ideal gases but the realtionship feature did not always work. (merlot.org)
- Since this is just a model, real gases only obey the ideal gas law approximately, not perfectly. (conservapedia.com)
- Generally, the ideal gas assumption is accurate for unreactive gases at high temperature and/or low pressure. (conservapedia.com)
- In chemistry, an ideal solution or ideal mixture is a solution with thermodynamic properties analogous to those of a mixture of ideal gases. (wikipedia.org)
- Ideality of solutions is analogous to ideality for gases, with the important difference that intermolecular interactions in liquids are strong and cannot simply be neglected as they can for ideal gases. (wikipedia.org)
- However, the vapor above the solution may not actually behave as a mixture of ideal gases. (wikipedia.org)

###### displaystyle

- This is not true for irreducible ideals: an irreducible ideal may be generated by an element that is not an irreducible element, as is the case in Z {\displaystyle \mathbb {Z} } for the ideal 4 Z {\displaystyle 4\mathbb {Z} } : It is not the intersection of two strictly greater ideals. (wikipedia.org)
- The simplest definition is that an ideal solution is a solution for which each component (i) obeys Raoult's law p i = x i p i ∗ {\displaystyle p_{i}=x_{i}p_{i}^{*}} for all compositions. (wikipedia.org)
- Some authors therefore define an ideal solution as one for which each component obeys the fugacity analogue of Raoult's law f i = x i f i ∗ {\displaystyle f_{i}=x_{i}f_{i}^{*}} , Here f i {\displaystyle f_{i}} is the fugacity of component i {\displaystyle i} in solution and f i ∗ {\displaystyle f_{i}^{*}} is the fugacity of i {\displaystyle i} as a pure substance. (wikipedia.org)
- Note that this free energy of mixing is always negative (since each x i {\displaystyle x_{i}} is positive and each ln x i {\displaystyle \ln x_{i}} must be negative), i.e., ideal solutions are always completely miscible. (wikipedia.org)
- A subset I of a partially ordered set (P, ≤) is a Frink ideal, if the following condition holds: For every finite subset S of P, S ⊆ {\displaystyle \subseteq } I implies that LU(S) ⊆ {\displaystyle \subseteq } I. A subset I of a partially ordered set (P,≤) is a normal ideal or a cut if LU(I) ⊆ {\displaystyle \subseteq } I. Every Frink ideal I is a lower set. (wikipedia.org)
- iii) { A n } n ∈ N ⊆ N ⇒ ⋃ n ∈ N A n ∈ N . {\displaystyle \left\{A_{n}\right\}_{n\in \mathbb {N} }\subseteq N\Rightarrow \bigcup _{n\in \mathbb {N} }A_{n}\in N.} Briefly, a sigma-ideal must contain the empty set and contain subsets and countable unions of its elements. (wikipedia.org)

###### IMDb

- An Ideal has average to positive reviews on Douban, which is the Chinese equivalent of IMDB, 6.6 out of 10, with 1669 critics and listeners, with most of them (33.5%) giving the album 3/5 stars. (wikipedia.org)

###### suprema

- A subset I of a lattice (P, ≤) is a Frink ideal if and only if it is a lower set that is closed under finite joins (suprema). (wikipedia.org)

###### equation

- The ideal gas concept is useful because it obeys the ideal gas law , a simplified equation of state , and is amenable to analysis under statistical mechanics . (princeton.edu)
- Today, doctors and nurses typically use an equation based on the ideal body weight formula to determine dosing. (wellness.com)
- The ideal gas law , is an equation of state for an ideal gas. (conservapedia.com)
- The equation is valid only for an ideal gas, the hypothetically perfect embodiment of a gas in which the particles ( atoms or molecules ) in the gas are point particles (have no volume ) and experience no intermolecular forces. (conservapedia.com)
- This equation for the chemical potential can be used as an alternate definition for an ideal solution. (wikipedia.org)

###### Exploration

- IDEAL (Idea, Development, Exploration, Assessment, Long-term study) is a framework for describing the stages of innovation in surgery and other interventional procedures. (wikipedia.org)

###### notion

- The notion of the ideal task has also played an important role in information theory. (wikipedia.org)

###### mathematics

- In mathematics, a proper ideal of a commutative ring is said to be irreducible if it cannot be written as the intersection of two strictly larger ideals. (wikipedia.org)
- In mathematics, a Frink ideal, introduced by Orrin Frink, is a certain kind of subset of a partially ordered set. (wikipedia.org)
- In mathematics, particularly measure theory, a σ-ideal of a sigma-algebra (σ, read "sigma," means countable in this context) is a subset with certain desirable closure properties. (wikipedia.org)

###### molecules

- [ 1 ] Generally, deviation from an ideal gas tends to decrease with higher temperature and lower density (i.e. lower pressure ), [ 1 ] as the work performed by intermolecular forces becomes less significant compared with the particles' kinetic energy , and the size of the molecules becomes less significant compared to the empty space between them. (princeton.edu)
- If the molecules are almost identical chemically, e.g., 1-butanol and 2-butanol, then the solution will be almost ideal. (wikipedia.org)

###### Qualities

- The "ideal" nature of such a city may encompass the moral, spiritual and juridical qualities of citizenship as well as the ways in which these are realised through urban structures including buildings, street layout, etc. (wikipedia.org)
- The nobility of the Renaissance, seeking to imitate the qualities of Classical civilisation, sometimes sought to construct such ideal cities either in reality or notionally through a reformation of manners and culture. (wikipedia.org)

###### novel

- The film was based on the adventure novel Beau Ideal by P. C. Wren, the third novel in a series of five novels based around the same characters. (wikipedia.org)
- Ideal is a posthumously published 2015 novel by Ayn Rand. (wikipedia.org)
- The July 7, 2015 first edition of the novel was published featuring the book version along with the 1936 Ayn Rand play Ideal. (wikipedia.org)
- The text of the play was first published in 1984 as part of The Early Ayn Rand, an anthology of Rand's previously unpublished fiction, but this volume did not include Ideal in its novel form. (wikipedia.org)
- Ayn Rand's 'never-before-seen' novel Ideal due out in 2015. (wikipedia.org)
- Ideal: First Ayn Rand Novel in Nearly 60 Years Will Be Published Next Year. (wikipedia.org)
- Ayn Rand's Early Novel 'Ideal' To Be Published After 80 Years. (wikipedia.org)

###### subset

- An ideal I of a ring A can be irreducible only if the algebraic set it defines is irreducible (that is, any open subset is dense) for the Zariski topology, or equivalently if the closed space of spec A consisting of prime ideals containing I is irreducible for the spectral topology. (wikipedia.org)

###### temperature

- As to the ideal temperature for your kit you'll have to look up the manufacturer's ambient temperature spec, most modern kit is OK with 26 degrees but some older stuff doesn't have big enough heat sinks for that, especially if one has fallen off or the thermal paste has degraded. (experts-exchange.com)

###### Rand

- Ideal is a play written by Ayn Rand. (wikipedia.org)
- Rand wrote Ideal in 1934. (wikipedia.org)
- Rand rewrote Ideal as a play of the same name in 1936, but she was unable to find a producer for it. (wikipedia.org)

###### Concepts

- James Oglethorpe synthesized Classical and Renaissance concepts of the ideal city with new Enlightenment ideals of scientific planning, harmony in design, and social equality in his plan for the Province of Carolina. (wikipedia.org)

###### simulation

- This applet presents a simulation of four simple transformations in a contained ideal diatomic gas. (merlot.org)
- Great simulation of the ideal gas law that can clearly show the relationships between different variables. (merlot.org)
- A very good and well done simulation of the Ideal Gas Law. (merlot.org)

###### equivalent

- In 2014, the average availability of iDEAL was 99.5% for most customer banks, equivalent to 1.8 days of downtime per year. (wikipedia.org)

###### philosophical

- The ideal age is a recurring theme in various philosophical and sociological deliberations, and part of someone's self-concept. (wikipedia.org)

###### describe

- The model of an ideal gas, however, does not describe or allow phase transitions. (princeton.edu)

###### website

- When you make an online reservation on the KLM website of the Netherlands, choose 'iDEAL' from the payment methods on the payment page. (klm.com)
- The IDEAL Collaboration-The IDEAL Collaboration website, including key publications, background materials, blog and discussion forum McCulloch P, Altman DG et al. (wikipedia.org)

###### city

- The three buildings are: 474 Bathurst St, Pedlar People Building at 473-489 College St, and the Ladies Wear Building at 559 College St. The City of Ottawa Design and Planning Guidelines also make reference to Ideal Lofts. (wikipedia.org)
- According to Robert Freedman, architect and then director of urban design for the City of Toronto, Ideal Lofts is part of a trend toward better designed condos in Toronto. (wikipedia.org)
- Ideal Petrov died in his home city of Varna on 20 September 1983. (wikipedia.org)
- An ideal city is the concept of a plan for a city that has been conceived in accordance with the dictates of some "rational" or "moral" objective. (wikipedia.org)
- The ideal city is often an attempt to deploy Utopian ideals at the local level of urban configuration and living space and amenity rather than at the culture- or civilisation-wide level of the classical Utopias such as St Thomas More's. (wikipedia.org)
- Several attempts to develop ideal city plans are known from the Renaissance, and appear from the second half of the fifteenth century. (wikipedia.org)
- The cities of Nicosia and Valletta, whose fortifications were built in the 1560s by the Republic of Venice and Order of St. John respectively, are considered to be practical examples of the concept of the ideal city. (wikipedia.org)
- Late nineteenth-century examples of the ideal city include the Garden city movement of Sir Ebenezer Howard, realised at Letchworth Garden City and Welwyn Garden City in England. (wikipedia.org)
- Poundbury, Prince Charles' architectural vision established in Dorset, is among the most recent examples of ideal city planning. (wikipedia.org)

###### concept

- The concept of an ideal solution is fundamental to chemical thermodynamics and its applications, such as the use of colligative properties. (wikipedia.org)
- The concept of σ-ideal is dual to that of a countably complete (σ-) filter. (wikipedia.org)

###### different

- Different related definitions of an ideal solution have been proposed. (wikipedia.org)
- Ideal tasks are different from real tasks. (wikipedia.org)

###### known

- The history of the formulas for calculating ideal body weight began in 1871 when Dr. Broca (a French surgeon) created the formula known as Broca's index. (wellness.com)
- The name Ideal Lofts comes from the then well known Ideal Restaurant Supply store which once stood on the site. (wikipedia.org)

###### Values

- The Devine IBW formula suggests ideal body weight values that may be too low in women, and impossibly low in shorter women. (wellness.com)

###### written

- IDEAL collaborators have written several editorials and commentaries in journals such as the British Medical Journal and The Lancet concerning the regulation of devices. (wikipedia.org)

###### include

- Examples of the ideal cities include Filarete's "Sforzinda", a description of which was included in his Trattato di Architettura (c. 1465). (wikipedia.org)
- Such studies include the instantiation of such ideal tasks in the real world. (wikipedia.org)

###### weight

- But how many calories does she really need and what's her ideal weight? (petfinder.com)
- Ideal body weight (IBW) is the weight that people are expected to weigh based on age, sex, and height. (wellness.com)
- The ideal body weight today is used as a tool to calculate the dosage of most medications. (wellness.com)
- Today Dr. Robinson's ideal body weight calculator is used for medication dosing. (wellness.com)
- Other tools of medication dosing may surpass the ideal body weight calculator in the future. (wellness.com)
- Though doctors and nurses have used ideal body weight charts to measure doses in the past, this technique is no longer in use. (wellness.com)
- This is an ideal weight chart based on the height of a person (both male and female). (everything2.com)
- Anything above the ideal weight range is considered overweight, and anything below is considered underweight. (everything2.com)
- Don't panic if you're not in the ideal weight range for your height, especially if you haven't finished growing yet. (everything2.com)

###### form

- If you know the author of Ideal gas transformations , please help us out by filling out the form below and clicking Send. (merlot.org)
- iDEAL is a form of real time banking. (klm.com)

###### Design

- Ideal Home magazine underwent a design and content revamp on the May 2010 issue. (wikipedia.org)

###### Time

- iDEAL offers merchants a real-time payment method (publicized as low-cost and virtually risk-free) to accept internet payments. (wikipedia.org)
- According to his grandson, Ideal Petrov was still alive at the time the term was coined. (wikipedia.org)
- Ideal Home is the title of a British home decorating magazine, published monthly (11 times a year) by IPC Media, a Time Inc. subsidiary. (wikipedia.org)
- They call it an ideal, something extraordinary, but at the same time ordinary. (wikipedia.org)

###### several

- Ideal is one of several projects from the early days of Rand's writing career that were not published during her lifetime. (wikipedia.org)

###### example

- This means that iDEAL payments cannot be reversed when, for example, a webshop fails to deliver. (wikipedia.org)
- The converse is not correct, for example the ideal of polynomials in two variables with vanishing terms of first and second order is not irreducible. (wikipedia.org)
- For example, the meager subsets of a topological space are those in the σ-ideal generated by the collection of closed subsets with empty interior. (wikipedia.org)

###### Music

- Jägermeister sponsored DJ IDeaL in the late 2000s, making him their first house music artist. (wikipedia.org)

###### Magazine

- Ideal Home magazine is edited by Vanessa Richmond. (wikipedia.org)

###### uses

- For customers, iDEAL uses the same environment as their banks' online banking sites. (wikipedia.org)

###### town

- The town was originally named Joetown, but when two railroad executives stopped in the town, one proclaimed it an "ideal" place for a railroad station, and the other declared he'd just named it. (princeton.edu)
- The ground plans of ideal cities are often based on grids (in imitation of Roman town planning) or other geometrical patterns. (wikipedia.org)
- Ideal town Oglethorpe Plan Cosmescu, Dragos. (wikipedia.org)

###### safe

- Paying via iDEAL is a very safe way to purchase your tickets online. (klm.com)
- While the transactions themselves are widely considered to be safe, iDEAL transactions could technically be regarded as cash payments between customers and suppliers, to which the bank is no party and offers no insurance. (wikipedia.org)

###### American

- Beau Ideal is a 1931 American pre-Code adventure film directed by Herbert Brenon and released by RKO Radio Pictures. (wikipedia.org)

###### help

- An effective tool to help students learn about all aspects of the ideal gas law. (merlot.org)
- In December 2011, the Center for Devices and Radiological Health of the United States Food and Drug Administration held a public workshop on using the IDEAL framework to help develop high-quality evidence for devices and implants. (wikipedia.org)

###### play

- On July 7, 2015, Penguin Random House published an edition featuring the novelette version of Ideal along with the play version. (wikipedia.org)

###### common

- Calling a performance or an item "Ideal Petrov" is common in colloquial Bulgarian. (wikipedia.org)

###### According

- According to his grandson, Ideal Petrov was not a fan of cinema and only agreed to take part in a single movie. (wikipedia.org)

###### space

- If k is an algebraically closed field, choosing the radical of an irreducible ideal of a polynomial ring over k is the same thing as choosing an embedding of the affine variety of its Nullstelle in the affine space. (wikipedia.org)

###### payment

- iDEAL is an e-commerce payment system used in the Netherlands, based on online banking. (wikipedia.org)
- Payment Service Provider POLi Payments http://www.internetkassa.nu/ideal-blijft-creditcard-en-online-achteraf-betalen-ver-voor/ 'iDEAL blijft creditcard en online achteraf betalen ver voor' iDEAL payments including numbers of transfers Which banks offer iDEAL? (wikipedia.org)
- Can I reverse an iDEAL payment? (wikipedia.org)

###### laws

- This activity adapts the States of Matter: Basics sim to teach the ideal gas laws. (merlot.org)

###### type

- It is a special type of ideal. (wikipedia.org)

###### measure

- If a measure μ is given on (X,Σ), the set of μ-negligible sets (S ∈ Σ such that μ(S) = 0) is a σ-ideal. (wikipedia.org)

###### provides

- As Miller Hogg, Archant Life France Regional MD explains, 'our research through our magazines and property exhibitions told us what property hunters would like in their ideal site - and we believe that France Property Shop provides exactly that. (prweb.com)
- To achieve this, the IDEAL framework provides a set of recommendations for improving the evidence base from research at each stage of innovation, as outlined in the seminal paper published in The Lancet in 2009. (wikipedia.org)