Where Can CVS Expand New Stores?
Stephen Kita
Posted on Aug 3, 2020
For this project, CVS location and US population data were analyzed to suggest where CVS should consider opening new stores.
CVS pharmacy is the largest pharmacies in the United Sates, with almost 10,000 locations as of August, 2020. Last year they reported $256B in revenue, and were listed as #5 on the Fortune 500 list.
According to CVS's SEC filing, their major sources of income are pharmacy and in-store sales. In addition, the majority of the pharmacy sales are within network, as opposed to online or mail-order. Therefore, the vast majority of revenue for CVS comes from people physically walking into the store.
If CVS wants to continue growing, the easiest way seems to be opening new stores. However, CVS is challenged to open new stores, because they already operate in so many locations. Therefore, CVS should target areas with higher demand when opening stores.
Data Collection
In this project, the location and count of every CVS store in the United States were scraped from the CVS website1. Store location data was collect and processed with the Python BeautifulSoup package.
Population data was downloaded from the US Census website, and population estimates for 2019 we used for all states (including District of Columbia and Puerto Rico) and for all cities > 50,000 residents.
These two datasets were combined using Python Pandas to generate a data frame of CVS location by state and city population:
Data Analysis
This data was graphed using Python Matplotlib to show the number of stores per capita. A linear trendline was calculated, and the slope was approximately 1 CVS store per 33,000 people. This trend was the same for both cities and states.
These states/cities can be grouped by whether they fall above or below the trendline (average number of stores per capita). The regions in green are where there are more than 33,000 stores per person, and the regions in red are where there are less.
Using this framework, we can assume that locations with below average CVS counts have a higher demand for new CVS stores. We can also rank the highest and lowest locations based on demand by population:
We can see that states like Washington and Colorado have a higher demand while states like Florida and Massachusetts have a lower demand. This could be do to the difference in ages between the states. Florida and Massachusetts have older populations, who would need more prescriptions than younger populations.
Looking at the cities, New York City and Los Angeles have a higher demand while Miami and Washington DC have a lower demand. This could be due to the high cost of real estate in NYC and LA, where the operating costs might hurt the profitability of a store.
We can cross-reference the city and state information to form a strategy about where CVS should expand.
If a state has a high demand for CVS and also has cities with a high demand, then CVS should make a larger presence in those cities. However, if a state has a high demand for CVS, but low demand in cities, then CVS should try expanding to new cities in that state.
In conclusion, if CVS wants to continue adding new stores, they could focus on expanding their presence in these cities where demand is high:
 - Seattle, WA
 - Denver, CO
 - Portland, OR
 - San Juan, PR
Alternatively, they could add stores in these states where demand is high by expanding to new towns:
 - Wisconsin
 - Arkansas
 - Utah
 - Iowa
Future Work
This analysis could be expanded by adding more demographic data, such as age and income levels, to better predict where a store would be profitable. In addition, competitor data from walgreens, walmart, rite aid, etc. could be scraped from the web to look for areas with less competition.
1 Data was scraped from the CVS Store Locator online. The CVS robots.txt file was reviewed beforehand and the store locator pages were allowed.
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EQUINOX Definitions, Synonyms, and Scrabble Information
Is EQUINOX a valid Scrabble word?
Find dictionary definitions, synonyms, Scrabble and Words with Friends information, and more about the word EQUINOX below.
equinox - either of two times of the year when the sun crosses the plane of the earth's equator and day and night are of equal length
See what Anagrams and Words you can make with the letters in 'equinox' ( e i n o q u x )
Scrabble and Words with Friends
EQUINOX is a valid Scrabble
word worth 23 points. Scrabble
uses the TWL word list.
EQUINOX is a valid Words with Friends
word worth 24 points. Words with
Friends uses the ENABLE word list.
EQUINOX is a 7 letter word containing the letters
e, i, n, o, q, u, x.
noun either of two times of the year when the sun crosses the plane of the earth's equator and day and night are of equal length
noun (astronomy) either of the two celestial points at which the celestial equator intersects the ecliptic
Lookup EQUINOX using the Merriam-Webster dictionary
Words that sound like 'equinox'

source: m-a-p/FineFineWeb


Secondhand hardback copy - condition Great (book has been read)
Olivier is an aristocrat, the traumatized child of survivors of the French Revolution. Parrot the son of an itinerant printer who always wanted to be an artist but has ended up a servant. Born on different sides of history, their lives will be brought together by their travels in America. When Olivier sets sail for America, ostensibly to study its prisons but in reality to save his neck from one more revolution - Parrot is sent with him, as spy, protector, foe and foil. As the narrative shifts between the perspectives of Parrot and Olivier, and their picaresque travels together and apart - in love and politics, prisons and the world of art - Peter Carey explores the adventure of American democracy, in theory and in practice, with dazzling wit and inventiveness.
Publisher: Faber & Faber
ISBN: 9780571253296
Number of pages: 464
Weight: 726 g
Dimensions: 241 x 161 x 37 mm
Parrot and Oliver in America by Peter Carey
SKU: 9780571253296


text:
Table of contentsNo headers
An ideal solution or ideal mixture is a solution in which the enthalpy of solution is zero ΔHsolution = 0; the closer to zero the enthalpy of solution, the more "ideal" the behavior of the solution becomes. An ideal mixture is one in which the activity coefficients are equal to one. The concept of an ideal solution is fundamental to chemical thermodynamics and its applications, such as the use of colligative properties. Since the enthalpy of mixing (solution) is zero, the change in Gibbs free energy on mixing is determined solely by the entropy of mixing.
This page viewed 5794 times

source: HuggingFaceFW/fineweb-edu


text:
The persistence phenomenon is studied in a financial context by using a novel mapping of the time evolution of the values of shares in a portfolio onto Ising spins. The method is applied to historical data from the London Financial Times Stock Exchange 100 index (FTSE 100) over an arbitrarily chosen period. By following the time dependence of the spins, we find evidence for a power law decay of the proportion of shares that remain either above or below their 'starting' values. As a result, we estimate a persistence exponent for the underlying financial market to be. Preliminary results from computer simulations on persistence in the economic dynamics of a toy model appear to reproduce the behaviour observed in real markets.
|Number of pages||6|
|Publication status||Published - 2007|

source: openbmb/Ultra-FineWeb


Detailed Translations for judge from English to Spanish
judge [the ~] noun
 1. the judge
 el juez
Conjugations for judge:
 1. judge
 2. judge
 3. judges
 4. judge
 5. judge
 6. judge
simple past
 1. judged
 2. judged
 3. judged
 4. judged
 5. judged
 6. judged
present perfect
 1. have judged
 2. have judged
 3. has judged
 4. have judged
 5. have judged
 6. have judged
past continuous
 1. was judging
 2. were judging
 3. was judging
 4. were judging
 5. were judging
 6. were judging
 1. shall judge
 2. will judge
 3. will judge
 4. shall judge
 5. will judge
 6. will judge
continuous present
 1. am judging
 2. are judging
 3. is judging
 4. are judging
 5. are judging
 6. are judging
 1. be judged
 2. be judged
 3. be judged
 4. be judged
 5. be judged
 6. be judged
 1. judge!
 2. let's judge!
 3. judged
 4. judging
Translation Matrix for judge:
NounRelated TranslationsOther Translations
juez judge
perseguir following; pursuing; tailing
- evaluator; jurist; justice
VerbRelated TranslationsOther Translations
administrar justicia administer justice; judge; pass judgement
condenar adjudicate; condemn; judge; sentence; try accuse; blame; castigate; condemn; convict; curse; damn; decry; denounce; discredit; hold against; rebuke; reprimand; reproach; sentence
enjuiciar adjudicate; condemn; judge; sentence; try
formarse un juicio administer justice; judge; pass judgement
juzgar administer justice; judge; pass judgement criticise; criticize
pasar por adjudicate; condemn; judge; sentence; try be reported to be; bear; call at; call on; come past; continue; drop by; drop in; encounter; endure; experience; feel; go on; go through; live through; look for; look up; pass; pass for; pass through; seek out; stand; sustain; take it further; travel through; visit; walk past
perseguir adjudicate; condemn; judge; sentence; try aim for; bring action against; charge through; chase; fly through; hasten; haunt; hurry; hurry up; persecute; prosecute; pursue; run after; rush; stress; strive after; urge on
perseguir judicialmente adjudicate; condemn; judge; sentence; try aim for; bring action against; chase; haunt; persecute; prosecute; pursue; strive after
procesar adjudicate; condemn; judge; sentence; try bring action against; continue; go on; prosecute; take it further
proseguir adjudicate; condemn; judge; sentence; try continue; do as well; do next to; go on; have a sideline; take it further; take up the thread of one's narrative; work on
sentenciar adjudicate; administer justice; condemn; convict; judge; pass judgement; pass sentence on; sentence; try
someter a juicio adjudicate; condemn; judge; sentence; try
- adjudicate; approximate; estimate; evaluate; gauge; guess; label; pass judgment; pronounce; try
OtherRelated TranslationsOther Translations
- decide
Related Words for "judge":
Synonyms for "judge":
Related Definitions for "judge":
 1. an authority who is able to estimate worth or quality1
 2. a public official authorized to decide questions brought before a court of justice1
 3. form a critical opinion of1
 - I cannot judge some works of modern art1
 4. determine the result of (a competition)1
 5. judge tentatively or form an estimate of (quantities or time)1
 6. pronounce judgment on1
 7. put on trial or hear a case and sit as the judge at the trial of1
 - The judge tried both father and son in separate trials1
Wiktionary Translations for judge:
 1. to form an opinion, infer
 2. to have as an opinion, consider, suppose
 3. to sit in judgment on, act as judge
 4. to form an opinion on
 5. to sit in judgment on, pass sentence on
 1. sports official
 2. public judicial official
Cross Translation:
judge juez richter — rechter
judge juez rechter — persoon die rechtspreekt, persoon die een oordeel velt
judge calificar; evaluar; juzgar beoordelen — tot een oordeel komen over iets
judge juzgar beurteilen — (transitiv) über jemanden oder etwas ein Urteil fällen
judge apreciar; estimar; evaluar; avaliar; tasar apprécier — Estimer, évaluer (quelque chose), en fixer la valeur, le prix. (Sens général).
judge juez juge — droit|fr magistrat investi par autorité public du pouvoir de dire le droit ou reconnaître le fait et de la fonction d'appliquer la loi dans les affaires litigieux.
judge juzgar juger — juri|fr décider une affaire, un différend en qualité de juge.
judge tasar; estimar; evaluar; apreciar taxer — (vieilli) régler, fixer le prix des denrées, des marchandises, de quelque autre chose que ce soit.
judge estimar; evaluar; avaliar; tasar; apreciar; valorar évaluerestimer une chose quant à son prix, à sa valeur, à sa quantité, à sa durée.
Related Translations for judge
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text:
Pollen Calendar for Fairbanks Alaska
A standard pollen calendar is presented for the benefit of allergic persons, physicians and others in the Fairbanks area. It is a graphic device showing the range of possible atmospheric pollen concentrations for each day of the main pollen season, late April through July, based on data from past years. It can be used for predicting probable daily average concentrations when the weather is relatively warm, dry, and breezy, and it shows when there almost certainly will be some pollen in the air. A core pollen season of prophylactic and clinical urgency is defined from May 10 to June 5, the same as in Anchorage.
The 40 or so species in the vegetation of the Fairbanks area contributing significant quantities of airborne pollen are grouped into five generic (alder, willow, poplar/aspen, birch and spruce) and one family (grass) taxonomic categories, plus an "Other" pollen category comprising the weeds lamb's quarters, plantain and wormwood, among others.
A standard pollen calendar must be based on a multiyear data set encompassing the full range of natural variation in pollen season severity and the timing of pollen release and dispersal. Because the present calendar is based on only six seasons' data, _PHONE_, and most of these are from only one sample location, it is considered prototypical. Continued sampling in Interior Alaska, part of a broader aerobiology research program, will result in a more nearly standard and meaningful pollen calendar.
This calendar shows possible allergenic pollen content of the air for each day based on the past activity. It incorporates data from six years of sampling at the University and two at Fort Wainwright.
James H. Anderson, MLIS, PhD
Institute of Arctic Biology and BioSciences Library
University of Alaska Fairbanks


text:
Water control structures to be opened on Harris Chain
PALATKA – The St. Johns River Water Management District will open the Burrell and Moss Bluff locks and dams in Lake and Marion counties on Dec. 5 due to rising water levels. The structures will be open for the first time in more than 2½ years.
Lake levels on the Harris Chain are managed according to a flood control regulation schedule that requires releases once water levels reach certain elevations. The area has received above normal rainfall over the past year and lake levels have risen, leading to a return of the discharges.
"The District will release some water from lakes Dora, Harris, Eustis and Griffin because of the increasing water level in those lakes," said Jay Brawley, Lake Apopka and Upper Ocklawaha River Initiative leader for the District. "These releases will allow for flood protection and will return flow through the Harris Chain of Lakes and the Upper Ocklawaha River."
Management of lake levels allows for a variety of activities, including boating and fishing, and positively impacts ecologic functions. If the lake levels drop to minimum desirable levels, the District will re-evaluate the discharges.
An extended drought led the District to stop all discharges through the chain's water control structures in spring 2012. In June 2012, after receiving input from the public, the District's Governing Board voted to end discharges until water levels returned to the minimum desirable levels.
Because Lake Apopka is four inches below its minimum desirable level and 12 inches below regulation, no discharges are needed at this time through the Apopka-Beauclair Lock and Dam in Lake County. If the regulation schedule is reached for Lake Apopka, releases will begin there as well.


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C-sense Sampling Considerations
While the C-sense is a relatively easy instrument to use, there are certain characteristics of operation that should be understood in order to measure pCO2 as accurately and precisely as possible. Equilibration time and warm-up time are the two which seem to cause the most confusion when measuring pCO2
Equilibration time is defined as the time required for the ambient concentration of carbon dioxide gas to equilibrate across the C-sense membrane. Often the equilibration time is stated as a T63 level, or the time it takes for 63% of the equilibration to occur. The specified T63 level for the C-sense is 4 minutes.
For example, if a C-sense is measuring a pCO2 concentration of 500 ppm in air and it is submerged in water that has a pCO2 concentration of 1200 ppm, the value of pCO2 measured by the C-sense will be 63% of the difference between initial and final values of pCO2 after 4 minutes.
Initial pCO2 = 500 ppm
Final pCO2 = 1200 ppm
pCO2 difference between initial and final concentrations = 700 ppm
63% of 700 ppm = 441 ppm
Measured pCO2 after 4 minutes = 991 ppm
There are multiple factors that affect equilibration time, one of the most significant being flow speed across the membrane. For this reason, the C-sense can be outfitted with a water-pumped head to pump water across the membrane. For reference, the total equilibration time for the C-sense is approximately 15 minutes. That value can be reduced to 12 minutes using the water-pumped head (PN 2400-700). If the water-pumped head is not a possibility, the user needs to be aware of the naturally occurring flow and how that will effect equilibration times. If there is little to no flow in the water being measured, equilibration can take significantly longer that the stated 15 minutes. Another factor affecting equilibration time is the amount of bio-fouling on the C-sense membrane. Accumulation of bio-fouling has two potential though competing effects on measuring pCO2 with the C-sense. The presence of the accumulation can increase the equilibration time by impeding the transfer of gasses. Alternatively, the organisms can respire CO2, artificially elevating the CO2 concentration measured by the C-sense. Turner Designs offers accessories for the C-sense that help reduce the effects of bio-fouling. A Copper Antifouling Guard (P/N 2400-507) can be installed on the sensor head outside the membrane to prevent organisms from growing on the instrument head. The Water-Pumped Head also discourages bio-accumulation by limiting the amount of light that reaches the C-sense membrane.
Warm-up time of the C-sense instrument, between 45 seconds and 3 minutes, is specific to the operation of the NDIR (Non-Dispersive Infrared) detector. The measurement provided by the NDIR is used as a proxy for pCO2 concentration. This measurement is most accurate when the heat generated by the detector dissipates into the surroundings resulting in a stable temperature. In order to prevent a measurement before the detector stabilizes, the C-sense will not output data for the first 45 seconds after power is applied. Unlike the equilibration time, warm-up time is dependent on the instrument being powered.
Understanding the equilibration and warm-up time of all pCO2 sensors is critical if a user expects to measure the concentration of CO2 precisely and accurately. A few of the most significant factors affecting the performance of the C-sense are discussed here but there are many other factors that may need to be considered depending on your sampling environment. Our C-sense FAQ's contain a lot of pertinent information and may help answer some of your questions; they can be found here.


text:
Mystery Goo™ Containment Unit
|Mystery Goo™ Containment Unit|
| Environmental sensor by |
Found lying by the side of the road
|Max. Temp.||1200 K|
|Impact Tolerance||12 m/s|
|Experiment||Mystery Goo Observation|
The Mystery Goo™ Containment Unit is a science part used to expose a special goo to both atmosphere and vacuum, in an attempt to gain science. In career mode, it is available at the Start, at level 1 of the technology tree.
The unit is activated either via action group or right clicking the container and clicking observe mystery goo. The unit cannot be reused after its results are transmitted, unless it is cleaned via the Mobile Processing Lab MPL-LG-2 or a kerbal scientist on EVA. Like EVA reports, the science gained from observing the Mystery Goo varies depending on different conditions in flight.
|"||This unit was something one of our engineers came upon while dumpster divin-- Erm, while researching alternative applications for existing technologies. It's a sealed container which appears to be filled with a strange-looking substance. We couldn't reach in or break the canister open, but watching how the Goo behaves when subjected to different situations could be very educational.||"|
- Size and mass reduced
- Initial release


Friday Jan 03, 2014
ODI 12c - Components and LKMs/IKMs
Here I'd like to illustrate some nice capabilities of ODI 12c's knowledge module framework in combination with the new component based mapper. Some of this was prompted from recent questions from Holger Friedrich (on migration from OWB..'where is delete'), Stewart Bryson and Mark Rittman (on components and KMs here) and a general nagging thought I had that people were generally unaware of the capabilities. There's a lot more we can illustrate and talk about in this area, so this is a little taster...
Customized loading, integration and error management can be defined using knowledge modules. There is a text based substitution library that makes building such knowledge modules very easy - especially with the abundance of examples - plus the substitution reference documentation is a good reference guide (intro here, reference here). This can be used in harmony with ODI 12c components. In 12c we have modularized a lot and introduced components (components are logical and describe the WHAT of the transformation, component KMs describe the HOW, just like regular KMs), also we have formalized some parts of the framework but it is still as open as ever.
In supporting the odiRef substitution library we have chosen a similar approach to how the sub-select worked in 11g. If you want to build your own integration you can use the odiRef methods to get the target shape, details, connection etc. The source for the target, just like in 11g is provided via the odiRef methods also and may be rolled into the odiRef.getFrom method.
To illustrate, if you want to perform an integration to do a delete operation, then the following snippet is sufficient - in 11g or 12c (the code in red is boiler plate). In ODI 12c you can now have an arbitrary mapping graph leading up to the target;
 1. DELETE FROM <%=odiRef.getTable("L","TARG_NAME","A")%> T
 2. WHERE (<%=odiRef.getTargetColList("", "[COL_NAME]", ", ", "\n", "UK")%> )
 3. IN
 4. (
 5. select * from (
 6. <%for (int i=odiRef.getDataSetMin(); i <= odiRef.getDataSetMax(); i++){%>
 7. <%=odiRef.getDataSet(i, "Operator")%>
 8. SELECT <%=snpRef.getColList(i,"", "\t[COL_NAME]", ",\n", "", "UK")%>
 9. FROM <%=odiRef.getFrom(i)%>
 10. WHERE (1=1) <%=snpRef.getJoin(i)%> <%=snpRef.getFilter(i)%> <%=snpRef.getGrpBy(i)%> <%=snpRef.getHaving(i)%>
 11. <%}%>
 12. ) S
 13. )
For example in the mapping below, I am using the subquery filter component to identify some rows that I then want to DELETE from the CONTACT_LIST target. The integration type property on target datastores was introduced in 12c and supports a set number of integrations to help filter the IKMs, if you select None, you can pick any IKM applicable for the technology.
If you look at the physical design for the above mapping you can now pick the IKM which performs the delete, the subquery filter also has a component KM which produces code, this code is rolled into the odiRef methods in the template. This then lets arbitrary map designs to be created and still build customized KMs for loading, integrating and error management. The odiRef substitution methods are simple text based APIs for producing text based on simple primitives.
This then produces the following SQL statement to perform the DELETE DML, our IKM has no knowledge of how to construct subquery filter, pivot or any other complex transformation - the code has been modularized. The code produced is below;
 2. IN (
 6. = SOME (
 7. SELECT
 9. FROM
 12. )
 13. )
 14. )
Another useful illustration of things working in harmony is related to the improved code generation for Oracle connectivity - the basics of database links have been greatly improved (no more requirements for view on source, but still supported). The framework change in order to support this will have more use cases down the line too. Now you can use the 12c database link LKMs to pull data from tables over a database link and leverage custom IKMs on the target. One of the 11g issues was related to the requirements the 11g Oracle to Oracle database link LKM placed on users, this has been greatly improved, you can now take advantage of this, plus use existing IKMs, build new ones etc.
The mapping above uses new 12c LKMs to access remote Oracle datastores and a customized IKM to illustrate the mix and match capabilities.
Hopefully this gives you some background and insight into the ODI 12c mapping and knowledge module capabilities that you weren't aware of. Looking forward to any questions and additional ideas, insights that you have.
Wednesday Sep 09, 2009
The techniques that we will leveraged for this are the following:
All the objects mentioned in this article can be downloaded. Save
this XML file
 - Name your target table
Interface Definition Tab
SAMPLER_ID number(3)
SAMPLER_NAME varchar2(30)
SAMPLER_PRICE number(10,2)
Sampler Interface Table Creation
 - Have a naming convention that is simplified
 - Limit the number of parameters
 - Limit the complexity of the code
 - RandomBool(): generate a 0 or a 1
For our example, we will build the following mappings:
Column Mapping
SAMPLER_ID RandomNumber(1,999)
SAMPLER_NAME RandomString('A', 1, 30)
SAMPLER_PROMOTION case when RandomBool()=0 then 'FALSE'
else 'TRUE'
SAMPLER_PRICE RandomDecimal(1,10000)
In ODI, the mappings will look like this:
Sampler Interface Mappings
Sampler IKM
10,000 records generated in 5 seconds
Statistics are available in the Operator interface.
Sampler Stats
 - Use the same logic to create your interface
Data Integration Showcased at OpenWorld 2009
« March 2014


text:
Description - 6 Principles to Retire Younger and Richer by Daniel Walsh
A tried-and-tested system to change your financial future and retire at any age Based on his own experience building significant wealth at a young age, author Daniel Walsh shares a unique wealth blueprint anyone can follow to retire younger and richer. In this book readers will discover six principles that will help them achieve their wealth-creation goals and dreams.Covering everything the author learned on his own journey, along with multiple real-life case studies from people - young and old - who have vastly improved their financial lives, this book will help you:* Change your money mindset and stop negative self-talk* Create habits and rituals for long-term success (it's not going to happen overnight)* Understand why leverage is the superpower of highly successful people* Tolerate and manage risk* Understand compounding income and grow your assets* Create generational wealth so that your children, their children, and their children can continue to advance the fruits of your labour, long after you are gone. Follow the blueprint in 6 Principles to Retire Younger and Richer and, no matter your age, background or wealth, you'll be one step closer to achieving financial freedom.
Buy 6 Principles to Retire Younger and Richer by Daniel Walsh from Australia's Online Independent Bookstore, BooksDirect.
A Preview for this title is currently not available.


From Wikipedia, the free encyclopedia
Jump to: navigation, search
A teapoy is an item of furniture. The word is of Indian origin, and was originally used to describe a three-legged table.[1]
By erroneous association with the word "tea",[1] it is also used to describe a table with a container for tea, or a table for holding a tea service.
See also[edit]
 1. ^ a b OED, teapoy, etymology: from Hindi tīn three + Persian. pāï foot.


text:
Landmarks asked for revisions to application to demolish 20th century freight terminal building and construct new brick-faced hotel. On August 3, 2015 the Landmarks Preservation Commission considered an application to demolish an existing building and construct a new hotel at 456 Greenwich Street in Manhattan. The lot under consideration lies partially within the Tribeca North Historic District. The existing structure at the site, originally built as freight terminal building in 1942, was heavily altered in the 1950s, and now functions as a garage. The building is identified as "no style" in the district's designation report. Landmarks previously considered an application for the alteration and redevelopment of the garage in 2014, but the project has since been abandoned. The new building would function as a hotel, with ground-floor commercial use.
The lot spans the width of the block, from Greenwich to Washington Street, with its longest facade on Desbrosses Street. Only the eastern portion lies within the historic district, which includes the facade facing Greenwich Street, and a segment of the Desbrosses Street face side.
Higgins Quasebarth and Partners' consultant Cas Stachelberg testified that the design would be uniform throughout the lot, though more bulk would be added to the portion outside of the historic district. He stated that the site is surrounded by five- and six-story 18th century warehouse buildings faced in masonry with cast-iron bases. He called the proposed design "clearly of the district, but also clearly of its time," and said it would retain the tradition of textured brickwork and the governing "utilitarian aesthetic." Stachelberg provided multiple examples of non-contextual short buildings in Tribeca that had been replaced by taller infill buildings with Landmarks' approval.
Architect Stephen Jacobs, of the Stephen B. Jacobs Group, presented the plan for the new hotel's design, which he described as a "contemporary contextual infill building." The building would rise to six stories at the streetwall, with a one-story, setback penthouse, into which a rooftop pool would be installed. The new building, which would have two bays on Greenwich Street, and sic bays on Desbrosses Street, would be primarily faced in brick with, with metal and glass openings. Large double-height square windows would span the second and third, as well as the fourth and fifth stories on all three facades. The large square openings would be divided into quarters by aluminum replications of steel I-beams, and further subdivided into multiple smaller windows. Jacobs said the contemporary nature of the openings prevented the design from falling into a false "historicism," while the "heavily articulated" brickwork was also intended to reflect historic architecture in a contemporary manner.
The first story would be demarcated from the upper floors by a metal cornice recalling historic corrugated metal canopies of the district. The sixth story would have smaller, vertical windows similar in design to the "attic stories" of the district's historic buildings. Multi-story mechanical equipment and bulkheads would be clustered on a portion of the roof outside of the historic district. A rooftop swimming pool would be built on the historic district portion of the penthouse. The penthouse and pool would be minimally, partially visible from public thoroughfares.
The Historic District Council's Barbara Zay called the project largely admirable, but criticized the double-height open squares and their failure to align with adjacent buildings, as well as an excess of glazing. Sean McCarthy, a resident of 452 Greenwich Street, expressed concern about the ratio of glass to masonry, the height of the proposed building, and the mass of the roof accretions, which would be visible from his building. Attorney Scott Schweber, representing a resident of the adjoining co-op at 449 Washington Street, said the development would block light and air to the building, which lies outside of the designated district.
Manhattan Community Board 1 issued a resolution recommending approval of the project, though requesting that the visibility of the rooftop accretions be reduced.
No commissioners objected to the proposed demolition. Commissioner Michael Goldblum found the approval contextual in its massing and materials and the proposal would constitute an improvement over the existing building. Goldblum questioned the large square windows, but determined that the design fell within the boundaries of appropriateness. Commissioner Michael Devonshire criticized the use of sand-struck brick in the proposal, which he said would clash with the historic hydraulic, water-struck brick predominant in the district. Though slightly "cringe-worthy," Devonshire did not find that the choice rose to the level of inappropriateness.
Commissioner Fred Bland suggested that the applicants use a stronger cornice above the sixth floor and also opposed the square opening for reasons of proportionality. Commissioner Diana Chapin found the large square windows "disruptive," and advised that they be replaced with rectilinear openings.
Chair Meenakshi Srinivasan commented that she was glad to see a plan that would replace the existing garage with a streetwall building, and called it a "great improvement" over the site's current condition. Srinivasan found the square openings integral to the concept presented, and said she was hesitant to ask the applicants to completely redesign the proposal. Srinivasan asked the applicants to refine the use materials and color in the proposal, and to reconsider the use of the sand-struck brick. The applicants were invited to present a revised proposal at a later date.
LPC: 456 Greenwich Street, Manhattan (17-2567) (Aug. 3, 2015) (Architects: Stephen B. Jacobs Group).
By: Jesse Denno (Jesse is a full-time staff writer at the Center for NYC Law)


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Prediction of High Temperature and Muggy in Shijiazhuang,Hebei Province
Based on the observation data of temperature and relative humidity of 17 stations and the temperature data of 8 automatic weather stations in Shijiazhuang, by means of EOF technique, the high temperature and muggy weather distribution characteristic is analyzed. The results show that high temperature and muggy field can be composed of climatic and the first and the second characteristic fields. Cumulative variance contribution of the first two characteristic field is as much as 80%. The first characteristic field reflects the actions of latitude and height above sea level and landform, and the impact of urban heat island effects. The coefficient of the first two characteristic field are day-to-day variable, and closely correlated with wind, temperature and baric difference of latitude and longitude. They can be worked out based on weather factors from single station by regression equation. So, the method predicting high temperature and muggy distribution is developed with EOF, it is satisfactory by statistical and fitting test and trial calculation, and can be operated by actual weather forecast.


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- Can I move to Switzerland without a job?
- What is Switzerland's main source of income?
- Can you work in Switzerland if you only speak English?
- Do you have to be rich to live in Switzerland?
- What is the highest paid job in Switzerland?
- How can I live in Switzerland permanently?
- Is it easy to work in Switzerland?
- What is considered rich in Switzerland?
- Where do the rich live in Switzerland?
- Do the Swiss speak English?
- Is it easy to migrate to Switzerland?
- What is a good salary in Switzerland?
- Is it worth moving to Switzerland?
- What jobs are in demand in Switzerland?
- What is the average rent in Switzerland?
Can I move to Switzerland without a job?
The Swiss don't let just anyone into the country.
In order to be approved for a residence permit, you have to have a job offer and it has to be for a job that cannot be done by a Swiss national..
What is Switzerland's main source of income?
Switzerland has one of the world's highest per capita GDPs and a highly skilled labor force. The economy relies on financial services, precision manufacturing, metals, pharmaceuticals, chemicals, and electronics.
Can you work in Switzerland if you only speak English?
It's the same here – yes there are positions where speaking English only is okay, but those are in the minority compared to the number of jobs available overall. Depending on your skills/experience learning to speak a Swiss language will give you more opportunities to find work than speaking English alone.
Do you have to be rich to live in Switzerland?
The residents of Switzerland are comparatively wealthy because Switzerland is a wealthy country. … And by living in Switzerland you almost certainly have such an income. If you're a legal resident you will in almost all cases get any kind of income from the state in case of poverty, disability, old age.
What is the highest paid job in Switzerland?
Top 10 Highest-Paying Jobs in SwitzerlandMilitary officer. Average estimated salary: 83,880 CHF ($84,009) … Software engineer. Average estimated salary: 87,693 CHF ($87,829) … Accountant. Average estimated salary: 89,515 CHF ($89,653) … Pilot. Average estimated salary: 101,340 CHF ($101,496) … Priest/Minister. … Actuary. … Veterinarian. … Investment banker.More items…•
How can I live in Switzerland permanently?
Swiss Permanent Residency and Citizenship After you have lived in Switzerland for 10 continuous years, you will be eligible to apply for a Swiss Permanent Residence Permit (C Permit). After 12 years of permanent residence, you can apply to become naturalised as a Swiss Citizen.
Is it easy to work in Switzerland?
Learning how to find a job in Switzerland is both easy and difficult. On one hand, the Swiss job market readily welcomes foreigners, especially in senior management level positions. However, competition for positions is stiff. … Switzerland's work culture is determined and steadfast.
What is considered rich in Switzerland?
Over 60% of Swiss adults have assets worth more than $100,000. It terms of rich individuals, 11% of Swiss residents are US dollar millionaires, 2,650 qualify as ultra-high net worth individuals (over $50 million), and 980 have a net worth in excess of $100 million.
Where do the rich live in Switzerland?
The most expensive properties are to be found along the shores of Lake Geneva. Cologny, on outskirts of Geneva, boasts the highest prices in the whole of Switzerland – luxury homes come attached with a tag of more than 35,000 Swiss francs ($34,732) per square meter.
Do the Swiss speak English?
While the majority of Swiss speak one of the four national languages, the number using foreign tongues – especially English – continues to rise. … Of all the foreign languages spoken in Switzerland, English is by far the most dominant and could soon become the main foreign language taught in schools in many cantons.
Is it easy to migrate to Switzerland?
Switzerland has long been an expat hotspot. With its high quality of life and the high matching salaries, many people consider moving to Switzerland. Although Switzerland is so popular, it is not that easy to immigrate there. That goes for all people, including EU citizens.
What is a good salary in Switzerland?
Average salary in Switzerland is CHF 118,367. Average take home earning is CHF 91,034 (Net). The most typical salary is CHF 93,140 (Gross)….SALARY BY LEVEL SWITZERLAND.Salary (CHF)Salary frequencyCHF 95K121CHF 105K121CHF 115K71CHF 125K9713 more rows•Nov 9, 2020
Is it worth moving to Switzerland?
Switzerland is home to several of the most expensive cities on the planet, so moving there from somewhere like Canada may come as a shock to your wallet. It'll take a high salary and some good budgeting to make the most of a life in Switzerland, especially if you plan on living near a city center, where the action is.
What jobs are in demand in Switzerland?
Job vacancies in Switzerland So there are jobs for skilled workers in engineering and technology, pharmaceuticals, consulting, banking, insurance, and IT, with financial analysts, business analysts, and systems analysts in great demand. As of September 2019, Switzerland had 79,000 job vacancies.
What is the average rent in Switzerland?
According to the Swiss Federal Statistical Office2, in 2016 the average rent for a dwelling was CHF 1,322 (all housing sizes combined). The most expensive cantons are Zug, Zurich and Schwyz, while the cheapest are Jura, Neuchâtel and Valais.


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I often see a recipe that require something to be boiled in "lightly salted water" e.g. Semmelknödel, but I'm always in doubt on how much salt that actually is.
Can anyone tell the "correct" ratio of salt and water for lightly salted water?
Seasoned Advice is a question and answer site for professional and amateur chefs. It only takes a minute to sign up.Sign up to join this community
There is no such correct ratio. Just go with whatever feels lightly salted to your personal taste. The point is simply to differentiate from recipes in which people go for lots of salt, such as some noodle cooking techniques which require the water to be "as salty as seawater" or similar.
In the end, every cook has their own subjective scale of what is their "typical" amount of salt, and it is impossible to meet the recipe author's without further information. And even if you happen to meet it, if your personal preferred level is ckose, you won't notice much difference. On the other hand, if your preference is very different, the food won't taste right to you if you use the same absolute ratio of salt to water. So, the only practical thing is to use your own taste as a reference.
The effects of using a bit more or less salt in the cooking water should be hardly noticeable, so it should be rather hard to make a mistake here unless you are using extrem amounts.
The goal of using salted water is to avoid too much salt dissipates from the food into the water. So if you want to take things over the top you could calculate the percentage of salt in your Knödel and adjust the water to it so food and water are sharing the same osmotic pressure to maintain the Knödels salt content exactly and unchanged.


Why Do Guinea Pigs Squeal? Find Out Now!
Guinea pigs are very sociable animals, and because of this, they have evolved to produce a series of vocalizations they use to communicate with other individuals of their species.
Why Do Guinea Pigs Squeal? Find Out Now!
Last update: 30 December, 2020
Guinea pigs are called "Cuys" in some countries of South America. This name has an onomatopoeic origin and it refers to the vocalizations that these rodents emit regularly, in both domestic and wild environments. In this article, we pose the following question: Why do guinea pigs squeal? If you want the answer, we encourage you to read on.
Communication in the animal world is a fascinating evolutionary process, and, for this reason, various ethological researchers are trying to decipher the meaning of language in the different species in the animal kingdom.
About guinea pigs
Before entering fully into the world of guinea pig communication, we need to define the species in question. Surprising as it may seem, the guinea pig (Cavia porcellus) is a species of hybrid rodent belonging to the family Caviidae. These curious pets are the result of the crossing of diverse species of the Cavia genus, such as Cavia aparea or Cavia magna.
Some of the differential characteristics of these small mammals are the following:
 - They come from the Andean region of South America
 - They weigh about 2 lbs and live between five and eight years
 - Guinea pigs are herbivorous animals and require a continuous supply of fiber and vitamin C to enjoy good health
 - This species has different morphotypes, which differ by the color arrangement and nature of their coat.
 - They're affable, calm rodents, and live in social groups.
It's this last characteristic that gives us the first clue as to why guinea pigs squeal. If an animal lives in a society, it has to have some way of communicating with its relatives, right?
Three guinea pigs posing.
So, why do guinea pigs squeal?
As simple as the question may seem, several ethological studies have designed experimental models to discover the reason for these vocalizations. This task is certainly not a simple one. Besides the existence of variations at an individual level, the squeals seem to have a different meaning according to the age of the guinea pig.
The guinea pig is especially multifaceted since, according to this research, it's capable of emitting up to 11 different tonalities. Some of them respond to the following situations:
 - Guinea pigs (especially the youngest ones) emit more audible sounds when they are in a new environment. This coincides with cortisol level increases in their bodies, a stress-related hormone.
 - When separated from their mothers, the guinea pigs emit calls out of loneliness, which are accompanied by an increase in the animal's movements and general agitation. Once the little ones return to their parents, the mothers emit a series of purrs to calm their offspring.
However, not everything is linked to the relationship between mothers and their children, since many other vocalizations are related to other processes. Up next, we'll be mentioning some examples.
A sound for every situation
Several studies have researched when, how, and why different vocalizations occur in various situations. These are some of the results:
 - The chortle is the most common vocalization among guinea pigs. It seems to be present in all kinds of situations, whether they're social or not. The emission of these preliminary sounds is very present when two individuals meet and try to identify each other. In addition, these sounds are later substituted by other noises more appropriate to the situation.
 - The moaning sounds they make are produced, in general, when a situation causes discomfort in the animal. For example, when a non-receptive female is approached by a reproductive male.
 - The squeaking sound is produced when the guinea pig experiences some type of physical pain.
There are many more sounds and noises emitted by guinea pigs, but one idea is clear: guinea pigs squeal to communicate with each other. Each tone has a specific function, and, from an evolutionary point of view, it's much more effective to warn others of a negative interaction with a sound than with a physical activity that requires more energy.
A close-up of a brown guinea pig.
A matter of sociability
As we've seen, social animals such as guinea pigs have developed complex linguistic mechanisms to communicate different feelings and emotions. This is beneficial for all members of the group since they can detect danger more quickly and avoid unnecessary fights among themselves.
In the animal world, everything has a biological response. Therefore, if you have a guinea pig at home, we encourage you to try to understand in what situations and with what frequency it produces these noises. After all, it may be trying to convey a message, such as continuous stress or feeling of loneliness.
It might interest you...
Differences between Gerbils and Guinea Pigs
My AnimalsRead it in My Animals
Differences between Gerbils and Guinea Pigs
Gerbils and Guinea pigs are great pets. In fact, they've secured a spot in the hearts of many families throughout many generations.
 - Arch-Tirado, E., & Collado-Corona, M. A. (2002). Análisis de vocalizaciones en periodos de soledad en cobayos recién nacidos, como normo-oyentes y con sordera provocada. Cirugia y Cirujanos70(6), 442-448.
 - Cavia, wikipedia. Recogido a 28 de julio en _URL_
 - Verduzco-Mendoza, A., Alfaro-Rodríguez, A., & Arch-Tirado, E. (2012). Etología y bioacústica en ratas y cobayos. Revista Mexicana de Comunicación, Audiología, Otoneurología y Foniatría1(1), 7-12.
 - Berryman, J. C. (1976). Guinea‐pig vocalizations: Their structure, causation and function. Zeitschrift für Tierpsychologie41(1), 80-106.


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|Posted by Paul Eagles on March 1, 2016 at 6:00 PM||comments (0)|
St. George Lance, Thursday June 26, 1997
BRANCHTON — A special ceremony was recently held to dedicate a remnant of Carolinian forest to conservation.
Thanks to the foresight of the local community, a nine-acre (three-hectare) site in Branchton now known as Branchton Village Woods, has been preserved. The property was purchased in January by the Branchton Village Land Trust, composed of members of the local community.
The Branchton Village Land Trust is a private charity dedicated to preserving the landscape, ecology and native wildlife in the Branchton area. "Our group realized the importance of protecting and preserving this small remnant of Carolinian forest because of the many varieties and rarity of some species of vegetation and wildlife found within," says James Voll, President of the Trust. "This none-acre forested woodlot is situated in the centre of the village and greatly enhances the beauty of the village. It is our hope that the forest continues to flourish over time and that all residents, young and old, continue to enjoy and learn from it."
The Branchton Village Woods is adjacent to a provincially significant Class 1 wetland and is part of the Branchton Swamp Forest complex, a regionally significant environmentally sensitive area. The woods is an excellent example of an oak-hickory forest with the largest documented stand of Sassafras and the largest individual Sassafras tree in the region of Waterloo. The forest provides habitat for a wide variety of breeding birds including the Scarlet Tanager, Wood Thrust, Red¬headed Woodpecker and the Yellow-throated Vireo.
The property was purchased by the land trust thanks to the generous financial contributions made by Jack and Mary-Lou Hessler, the Ontario Heritage Foundation (OHF), Canada Trust's Friends of the Environment Foundation, the Nature Conservancy of Canada and the residents of the village of Branchton.
Joanna Bedard, Chair of the OHF says, 'This community successfully took on a very ambitious project. We applaud all of the individuals and groups who stepped forward to protect this significant woodland.
Future generations will continue to benefit from the beauty of the property and foresight of these local stewards."
"Protecting the environment begins in our own backyards and the Friends of the Environment Foundation is delighted to assist in the preservation of this significant piece of Carolinian forest history," says Paul Morris, Cambridge Chapter Secretary for the Friends of the Environment Foundation.
Through the Nature Conservancy of Canada's Community Forest Conservancy Program, funded by the Richard Ivey Foundation, the Conservancy assisted the land trust in the negotiations to purchase the property and provided legal and other advice. An interest-free loan was provided to the Branchton Land Trust by the Conservancy which enabled the land trust to close the deal.
'The Branchton Village Land Trust and the other contributors should be praised for securing this remnant Carolinian forest for the people of Branchton and Ontario," says Elva Kyle, Chair of the Nature Conservancy of Canada. "The protection of this property is significant since one-third of all of Canada's rare, threatened or endangered species are found in the Carolinian zone. The dedication celebrates the protection of this area which present and future generations will be able to enjoy as a place to learn, to teach and to wonder."
Since its formation in 1962, the Nature Conservancy of Canada has worked with individuals, corporations, foundations and governments to protect more than 1.2 million acres (490,000 hectares) of prime wildlife habitat across the country.
|Posted by Paul Eagles on January 19, 2016 at 3:40 PM||comments (0)|
The Branchton Village Land Trust received a grant from The Region of Waterloo Environmental Stewardship Fund in 2015. The money was used to bring down dangerous, dead trees. After the ice storm of late 2014, there were many brokend and leaning trees in the forest. These created a danger to anyone in the forest. The grant enabled the Land Trust to hire a forestry company to cut down the trees. The wood was left on the ground to decompose naturally.
|Posted by Paul Eagles on October 31, 2011 at 6:20 PM||comments (0)|
Message from the President
October 31, 2011
The objectives of the land trust are to ensure thepreservation of the land, forest, animal and plant life found within the nineacres of the forest lands. We also wanted to ensure the lands were nevercommercially logged. With the newly produced "Branchton Village Land TrustBotanical Report", we now know just how significant this parcel of land is andare proud to have protected it during this time.
It should also be noted that wildlife has flourished withinthe woods. Deer, wild turkeys and a large variety of birds amongst others, maketheir home in the forest.
For us, as residents and homeowners, it is nice to know thatstudies dealing with real estate values, properties, not just those abuttingsuch forested lands, are significantly more valuable when they are near this type of land feature.
However, with the responsibility of managing the Trust comesthe function of protecting the forest from encroachments, dumping, hunting andtrespassing. Twice each year we walk the forest to pick up garbage andneighbour's garden clippings. We do not appreciate the dumping but, more over,the clippings interfere with the natural vegetation as they re-seed and grow.The no trespassing notices on the land is a necessity for the Trust and its Directors to enforce, as we do not want to see anyone be injured or place any undue liability on the Trust and Directors. While we have always had this policy, we will be posting NO TRESSPASSING signs in the fall of 2011.
The good news is that anyone wishing a tour of the woods cancontact Dr. Paul Eagles. He would be more than happy to accommodate where andwhen possible. Another good way to see the woods is to help us clean up the woods when we do our spring and fall cleanup. We would welcome your help.
Branchton Village Land Trust
|Posted by Paul Eagles on September 5, 2011 at 7:35 PM||comments (0)|
The Branchton Village Land Trust Website was launched September 5, 2011.


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Special Issue Article
Neocherish - An Intelligent Care Unit For Neonatal Icterus
NeoCherish - Noninvasive monitoring and treatment for neonatal icterus. Neonatal icterus, a problem in 60% of full term babies and 85% of pre-term babies. NeoCherish provides an effective solution for neonatal icterus. It is an intelligent system which is fully automatic noninvasive measurement of bilirubin in blood serum and treats with the higher wavelength LED (Light Emitting Diode) for cure. In existing method after arising the symptoms in the neonatal due to the cause of hyperbilirubinemia, blood sample is taken for testing bilirubin value in blood serum. For treatment, phototherapy method is handled. In proposed system, newborns are placed in NeoCherish intelligent care system, it checks for the bilirubin value in blood serum noninvasively using LED wavelength about 400nm. If the obtained value exceeds the predefined value, results in three different states as normal, mild and critical jaundice. Based on this states treatment process will be turned at slightly higher wavelength of LED ranges from 410nm to 490nm, which posses the photo transformation process to reduce the level of bilirubin in blood serum. Monitoring system keeps on monitors and displays the bilirubin value. Data are transmitted for doctors monitor using zigbee module. Configure the device could be done by the doctor from the remote location. Database is also maintained for future analysis.


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Lismore community groups to receive almost $1 million for vital bush regeneration
Member for Lismore Thomas George today announced four local community groups would receive a total $989,750 for projects aimed at restoring bushland in the local area.
Mr George said on World Environment Day (Tuesday 5 June) the grants were part of an $8 million NSW Government program to fix degraded natural bushland sites.
"In a challenging economic environment this funding targets key community groups who are best placed to protect their local environment," Mr George said.
"I am pleased to announce Big Scrub Rainforest Landcare Group Inc will receive $249,900 for rehabilitating and restoring lowland subtropical rainforest.
"This grant will be used to improve the health of 640 hectares of rainforest, through the work of two local Landcare groups and the wider community.
"Jiggi Catchment Landcare Inc has also been successful in their grant application for $250,000 to rehabilitate high conservation value habitats and corridors using professional bush regenerators working alongside Landcare members.
"As well, Tweed Landcare has secured $249,850 towards restoring high conservation value flora and fauna habitat to improve connectivity of bushland between the mid-Tweed River and Mount Warning.
"Finally, Upper Clarence Combined Landcare Inc will receive $240,400 to improve the health and resilience of 116 hectares of native vegetation.
"By restoring and protecting 6.5 kilometres of riparian frontage to the Upper Clarence, habitats of rare and endangered flora and fauna will be protected. This project aims to provide a buffer on private land to the adjoining Gondwana Rainforests."
Mr George said it was a boost for the local community that the four dedicated community organisations had been successful in securing funding for such important projects.
The Lismore projects are among 33 across the state to share in $8 million under the Community Bush Regeneration Large Project grants, part of the Environmental Restoration and Rehabilitation program.
Administered by the NSW Environmental Trust, these grants deliver on the NSW Government's commitment to regenerate degraded natural bushland including riverbanks, waterways and urban bushland.
The grants are aimed at larger scale longer term projects which will build capacity for local community groups to protect, restore and enhance our environment.


Arc diagram
From Wikipedia, the free encyclopedia
Jump to: navigation, search
An arc diagram of the Goldner–Harary graph. The red dashed line segment shows where this graph was subdivided to make it Hamiltonian.
In graph drawing, an arc diagram is a style of graph drawing, in which the vertices of a graph are placed along a line in the Euclidean plane, with edges being drawn as semicircles in one of the two halfplanes bounded by the line, or as smooth curves formed by sequences of semicircles. In some cases, line segments of the line itself are also allowed as edges, as long as they connect only vertices that are consecutive along the line.
The use of the phrase "arc diagram" for this kind of drawings follows the use of a similar type of diagram by Wattenberg (2002) to visualize the repetition patterns in strings, by using arcs to connect pairs of equal substrings. However, this style of graph drawing is much older than its name, dating back to the work of Saaty (1964) and Nicholson (1968), who used arc diagrams to study crossing numbers of graphs. An older but less frequently used name for arc diagrams is linear embeddings.[1]
Heer, Bostock & Ogievetsky (2010) write that arc diagrams "may not convey the overall structure of the graph as effectively as a two-dimensional layout", but that their layout makes it easy to display multivariate data associated with the vertices of the graph.
Planar graphs[edit]
As Nicholson (1968) observed, every embedding of a graph in the plane may be deformed into an arc diagram, without changing its number of crossings. In particular, every planar graph has a planar arc diagram. However, this embedding may need to use more than one semicircle for some of its edges.
If a graph is drawn without crossings using an arc diagram in which each edge is a single semicircle, then the drawing is a two-page book embedding, something that is only possible for the subhamiltonian graphs, a subset of the planar graphs.[2] For instance, a maximal planar graph has such an embedding if and only if it contains a Hamiltonian cycle. Therefore, a non-Hamiltonian maximal planar graph such as the Goldner–Harary graph cannot have a planar embedding with one semicircle per edge. Testing whether a given graph has a crossing-free arc diagram of this type (or equivalently, whether it has pagenumber two) is NP-complete.[3]
However, every planar graph has an arc diagram in which each edge is drawn as a biarc with at most two semicircles. More strongly, every st-planar directed graph (a planar directed acyclic graph with a single source and a single sink, both on the outer face) has an arc diagram in which every edge forms a monotonic curve, with these curves all consistently oriented from one end of the vertex line towards the other.[4] For undirected planar graphs, one way to construct an arc diagram with at most two semicircles per edge is to subdivide the graph and add extra edges so that the resulting graph has a Hamiltonian cycle (and so that each edge is subdivided at most once), and to use the ordering of the vertices on the Hamiltonian cycle as the ordering along the line.[5]
Minimizing crossings[edit]
Because it is NP-complete to test whether a given graph has an arc diagram with one semicircle per edge and no crossings, it is also NP-hard to find an arc diagram of this type that minimizes the number of crossings. This crossing minimization problem remains NP-hard, for non-planar graphs, even if the ordering of the vertices along the line is fixed.[1] However, in the fixed-ordering case, an embedding without crossings (if one exists) may be found in polynomial time by translating the problem into a 2-satisfiability problem, in which the variables represent the placement of each arc and the constraints prevent crossing arcs from being placed on the same side of the vertex line.[6] Additionally, in the fixed-ordering case, a crossing-minimizing embedding may be approximated by solving a maximum cut problem in an auxiliary graph that represents the semicircles and their potential crossings (or equivalently, by approximating the MAX2SAT version of the 2-satisfiability instance).[7]
Cimikowski & Shope (1996), Cimikowski (2002), and He, Sýkora & Vrt'o (2005) discuss heuristics for finding arc diagrams with few crossings.
Clockwise orientation[edit]
For drawings of directed graphs, a common convention is to draw each arc in a clockwise direction, so that arcs that are directed from an earlier to a later vertex in the sequence are drawn above the vertex line, and arcs directed from a later to an earlier vertex are drawn below the line. This clockwise orientation convention was developed as part of a different graph drawing style by Fekete et al. (2003), and applied to arc diagrams by Pretorius & van Wijk (2007).
Other uses[edit]
Arc diagrams were used by Brandes (1999) to visualize the state diagram of a shift register, and by Djidjev & Vrt'o (2002) to show that the crossing number of every graph is at least quadratic in its cutwidth.
 1. ^ a b Masuda et al. (1990).
 2. ^ The application of semicircles to edge layout in book embeddings was already made by Bernhart & Kainen (1979), but the explicit connection of arc diagrams with two-page book embeddings seems tо be due to Masuda et al. (1990).
 3. ^ Chung, Leighton & Rosenberg (1987).
 4. ^ Giordano et al. (2007).
 5. ^ Bekos et al. (2013).
 6. ^ Efrat, Erten & Kobourov (2007).
 7. ^ Cimikowski & Mumey (2007).


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Dynamic RecordSets in Qlikview
19 September, 2018
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Dynamic RecordSets in Qlikview Introduction
Point in Time reporting is easily achieved using set analysis. If you wanted to obtain the years sales for 2010 the following set analysis would be used:-
Sum({$<Year = {2010}>}Sales)
If you wanted to return Sales for the immediate previous year to whatever the user selects, you can use the aggregation function.
First determine the function that will return the required value, Max(Year) – 1. In this example if the user selects 2010, the function will return 2009, if the user makes multiple selections or no selections at all; you will still get the value of the previous year based on the last possible year.
Next you use this function as a set modifier in the final expression, as follows:-
$(=Function()) (NB equal sign)
The final expression would look as follows:-
Sum({$<Year = {$(=Max(Year) – 1))}Sales)
This approach works equally well for Quarters, Months, Days etc. however its' limitation is demonstrated when working with months for example, if a user selects Month 1 (January) and uses the function Max(Month)a zero will be returned and this is not what is required.
Adding and Removing the Values to Selections:
The following operators can be used to modify the selections that have been made by the user
= Redefines the selection made for a given field
+= Defines a union between the selected field value and the next specified:-
Sum({$<Year += {2009, 2010}>}Sales)
This expression will return the sales for the years that the user has selected AND the years 2009 and 2010.
-= Defines an exclusion of the value specified from the value that the user has selected:-
Sum({$<Product -= {'Product X'}>}Sales)
This expression will return the sales for the products the user has selected excluding Product X.
*= Defines the values that occur in both the users selections and the values specified in the set expression:-
Sum({$<Product *= {'Product X'}>}Sales)
This expression will return sales for the current selection but only for the intersection of currently selected products and Product X.
/= this defines an XOR, the resulting record set will contain the values present in either one set but not in the other
Sum({$<ProductNumber*= {"33*"}>}Sales)
This expression will return sales for the current selection but only for the intersection of currently selected products and all the products with numbers starting with 33.
More Examples:
Sum of Sales and ignore specific selections for Customer Country and Policy Status
SUM( {$<[Customer Country] = , [Policy Status] = >}Sales )
Sum of Sales where Policy Created Year equals variable vMaxCreatedYear
SUM({$<[Policy Created Year] = {$(#vMaxCreatedYear)}>}Sales )
Sum of Sales where Policy Created Year greater than or equal to variable v2002
SUM({$<[Policy Created Year] = {">=$(#v2002)"}>}Sales )
Sum of Sales where Policy Created Year less than variable v2002
SUM({$<[Policy Created Year] = {"<$(#v2002)"}>}Sales )
Sum of Sales where Policy Created Year greater than or equal to v2002 and less than or equal to v2004
SUM({$<[Policy Created Year] = {">=$(#v2002) <=$(#v2004)"} >}Sales )
Sum of Sales where Product not equal to Life Plan
SUM({$<Product -= {"Life Plan"} >}Sales )
Sum of Sales where Policy Created Year is greater than1999 but less than 2004
SUM({$<[Policy Created Year] = {">1999<2004"}>}Sales)
Sum of Sales for policies created in the Years beginning "200*"
SUM({$<[Policy Created Year] = {"200*"}>}Sales)
Sum of Sales excluding where Product equals *Plan*
SUM({$<~Product = {"*Plan*"}>}Sales)
Sum of Sales to include all current selections and the union of the 2 products, Life Plan and Fleet Secure
SUM({$<Product += {"Life Plan", "Fleet Secure"} >}Sales )
Sum of Sales to include all current selections and Years 20* and 1997 minus the year 2000
SUM({$<[Policy Created Year] += {"20*",1997} – {2000} >} Sales )
Sum of Sales to include all current selections, and intersect of product Fleet Secure
SUM({$<Product *= {"Fleet Secure"} >}Sales )
Below expression returns the sum of sales for the previous year in relation to the current selection. A dollar-sign expansion is used to calculate the previous year:-
SUM({$<[Policy Created Year] = {$(#=Only([Policy Created Year])-1)}>}Sales )
Below expression returns the sum of Sales for all current selections excluding the products with Plan and Secure in their title
SUM({$-1<Product = {"*Plan*", "*Secure*"}>}Sales )
Below expression return the sum of sales for all current selections, with a new selection in the "Customer" field. Only include customers who during 2007 had total sales of more than _PHONE_
SUM({$<Customer = {"=Sum({1<Year = {2007}>} Sales ) > _PHONE_"}>}Sales )
YTD, QTD, MTD and WTD
Year, Quarter, Month and Week To Date are the common analysis that we have seen many applications.
First to do this your data model should have the DateField in number format by applying floor
Similar to this
Floor(DateField) AS DateNum //it will gives you one whole number to represent date
YTD - Year To Date
A date should be selected and it will look for the Starting date of the year to the selected date.
Ex: date selected is 21-03-2014 then YTD is 01-01-2014 to 21-03-2014 Expression would be
Sum({<Year=, Month=, Quarter=, Week=, DateField=,DateNum={">=$(=Num(YearStart(Max(DateNum))))<=$(=Max(DateNum))"}>} Sales)
QTD- Quarter to Date
In the place of year use Quarter
Sum({<Year=, Month=, Quarter=, Week=, DateField=,
DateNum={">=$(=Num(QuarterStart(Max(DateNum))))<=$(=Max(DateNum))"}>} Sales)
MTD- Month to Date
Sum({<Year=, Month=, Quarter=, Week=, DateField=,
DateNum={">=$(=Num(MonthStart(Max(DateNum))))<=$(=Max(DateNum))"}>} Sales)
WTD- Month to Date
Sum({<Year=, Month=, Quarter=, Week=, DateField=,
DateNum={">=$(=Num(WeekStart(Max(DateNum))))<=$(=Max(DateNum))"}>} Sales)
if you want you can set a variable value as 'Year', 'Month', 'Quarter', 'Week', lets say vTo Date and go with single chart and single expression
Sum({<Year=, Month=, Quarter=, Week=, DateField=,
DateNum={">=$(=Num($(=vToDate&'Start(Max(DateNum))')))<=$(=Max(DateNum))"}>} Sales)
What – IF Analysis:
What if analysis 'is a technique that lets you assess changes before they happen. It greatly helps the business to predict their outcome of their decisions, lowering the risk. It also helps to quickly test a wide variety of scenarios using real-time data pulled straight from the database.
What-if scenarios can be useful in many cases. The sales driven organization for example, can take advantage of understanding the impact of rising costs, decreasing quantities of sold goods, changes in selling prices and how all of this affects the margin, just in a few simple clicks. It's quite simple to create such a what-if scenario in Qlikview.
The first thing to do is declaring variables for sliders to increase or decrease the values in percentage (%) for Sales, Cost or Quantity. Navigate to settings and choose Variable Overview.
Capture.614
In the variable overview, add the three new variables: vQty2, vCost2 and vSales2.
Capture.615
Now create three independent sliders with the following settings:
Capture.616
The cost, sales and Qty percentage (see picture below) text can be created by adding a text object with:
='Cost: '&chr(10)&num($(vCost2)/100,'


I have been searching for quite a while to no avail for this answer, and was hoping that someone may have the answer here.
I'm not new to c++; I have been working with it for about 3 years now, and recently moved into visual c++ (with Microsoft Visual Studio 2008), where I quickly ran into a problem I have yet to answer.
My question seems easy enough; is it possible to create objects (such as labels or picture boxes) on the fly from within functions, rather than in the namespace constructor?
I know the general creation code defined with the handles/pointers in the beginning of the form's namespace, but I'm wondering if - through a function - it is possible to create and destroy them?
And if so, what is the proper syntax, and how would I be able to - if at all possible - port it over to an external.cpp file?
Considering the diversity of the C++ language, I believe that the answer to my problems exist, but I have yet to find out precisely what it is.
Any potential help would be appreciated.


text:
Definition of soil stack in English:
The pipe that takes all the waste water from the upstairs plumbing system of a building.
- If after taking the above steps the sluggish performance persists, you may have an obstruction in the vent pipe that exits through your roof or somewhere in the soil stack.
- In the space at the back of our stairs we found a small room, a small room that contained the soil stack, into which the offending waste pipe terminated.
- The soil stack will dictate the position of the toilet.
Definition of soil stack in:
- British & World English dictionary
What do you find interesting about this word or phrase?
Comments that don't adhere to our Community Guidelines may be moderated or removed.
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text:
In various fields of industry, Pearl Rotary Joints have been successfully used under variety of service conditions covering a wide range of materials, pressures, temperatures and rotation speeds.
Pearl Rotary Joints are used for supplying/discharging compressed or decompressed (below atmospheric pressure) fluid/gas from a fixed piping to the rotary section of various machines with no leak. For example, they can be used when a heat transfer medium such as
- Can be used in a high-temperature range (max. 180℃).
(Quasi-standard products that can be used at 180℃ or higher are available.)
- As a carbon bearing is used, greasing is not required.
- Low mechanical seal wear allows stable operation for a long time.
|Fluid||Saturated Steam / Thermal Oil|
|Max. Pressure||1.47MPa (213 psi)|
|Max. Temperature||180 degrees C
(356 degrees F)
|Max. Rotation Speed||15A to 40A 300min-1
50A to 80A 100min-1


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Assume I have the words A, B and C. In my calculation, occurrences of ABC should have much bigger weight than AB, and occurrences of AB should be much bigger than A.
$W(x,y,z) = P(x)*\frac{1}{111} + P(x,y)*\frac{10}{111} + P(x,y,z)*\frac{100}{111}$
and I apply the context = $\{A, B, C\}$ to function $W$.
$P(x,y)$ means : (number of xy used together) / (count of bigrams)
My question is not about the formula itself, because I have already implemented a much more complicated form of it. However, I cannot write a proper documentation about it. I don't know the math term.
Is there a mathematical term for what $W$ is doing?
"increasing-size-increasing-weight-summing"?
share|improve this question
"Weighted average". – user1551 Nov 22 '12 at 21:05
Yes, it is weighted average. However isn't there a special name for that when the number of parameters are increasing? I would say P(x), P(x,y) and P(x,y,z) doesn't have the same class. To me weighted average is more like $P(x)*k + P(y)*l + P(z)*m$ – Ali Ok Nov 23 '12 at 0:43
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text:
VOOPOO VFL Operating Instructions:
How To Fill Liquid into VOOPOO VFL:
1. Pull up the silicone plug then fill in the liquid (see picture a). 2. Put back the silicone plug.
How To Assemble:
1. Connect the filled liquid pod with
The pod and the nozzle
VOOPOO VFL Kit Basic Functions:
- Power Button on/off: Press the power button on/off five times continuously within 2s, all gear position lights will be on for 3s.
- Vaping trigger mode: MIC trigger smoking mode
- Preheating: Press the preheat button 3 times continuously within 2s to start preheating the current set voltage gear lamp flashing prompt. The preheat cycle time is 15s. If you want to stop preheating, press the preheat button once or keep to vaping.
- Voltage setting: Press this button continuously within 2 times to switch over: 2.5v/3.0v/3.5v cycles
- Low battery power prompt charge: 3 Voltage level indicator light from high to low lamp lit after all on 2s, after five cycles then close the tips.
- Protection function: output short circuit protection, low power protection, overcharge and over discharge protection and vaping overtime protection.
VOOPOO VFL Charging:
How to charge:
Twist the bottom 90 degrees to find the USB port. When charging is complete, twist it back to its original.
Micro USB charging: 5V – 500mA;
When USB plug in to charge the device, 3 voltage indicator light flashing from bottom to top during


Wyn Enterprise User Guide
Wyn Enterprise: Connect to IBM DB2 iSeries/AS400
To create a IBM DB2 iSeries/AS400 data source in Wyn Enterprise, follow these steps.
 1. On the Resource Portal, navigate to Create (+) > Create Data Source.
 2. Select DB2 iSeries/AS400 in the data source list on the left or in the icon view on the right.
 3. Fill in the database configuration information for the selected data source.
Field Description
Name* The name for the data source that you want to specify.
Server* A server name or address.
Port * A port number, the default is 446.
User* A user name to connect to the IBM DB2 iSeries/AS400 database.
Password* A password of the IBM DB2 iSeries/AS400 user.
Database* Enter the server IBM DB2 iSeries/AS400 instance name.
Use Configuration String (Advanced) Use this option to connect to the data provider through a connection string. The format for the connection string is:jdbc:as400://myServerAddress:mySeverPort/myDatabase;user=myUser;password=myPassword;
Use Table/Field Name Mapping If you check this option, you can either import a CSV file or manually enter the display names for the required tables or fields in the Mapping dialog. In case of the RDBMS databases, you can also import the name mapping information from another database. For more information on mapping table and column names, visit this topic.
* Required fields
 1. Verify the DB2 connection by clicking Test Connection. If the data source is available, and the credentials are correct, you receive a notification on successful connection.
 2. Click Create after the connection is successful.
 You can view the added data source in the Categories tab of the Resource Portal.


text:
Theme:'Creating hope through action'
Department of Psychiatry, in collaboration with Indian Psychiatric Society-Karnataka Chapter(IPS-KC), in association with Department of Clinical Psychology,celebrated World Suicide Prevention Day on 11 September 2023 at Govt.PU College,Bellur.
Programme commenced with an invocation song by 2nd year PU students. Dr. Shivakumar.B.K, Professor and HOD, Department of Psychiatry, AIMS inaugurated the event and also explained the relevance of preventing suicide amongst adolescents as well as adults.The session was followed by 2 activities which were co-ordinated by Dr.Vaibhavi.P.S, Assistant Professor,Department of Psychiatry,and Dr.Vijaykumar.K.S,Assistant Professor, Department of Clinical Psychology.Vote of thanks was delivered by Dr. Vinay.H.R,Associate Professor,Department of Psychiatry.
Programme saw active participation from students.Pamphlets containing 'myths and facts about suicide' were distributed at the end of the session.


text:
Referring to the divisor definition of Webster [link to that definition] suppose that we start with a divisor so large that no party gets a seat. Then let's start lowering the divisor so that parties will begin getting seats. As we keep lowering the divisor, more parties will get seats, more seats will be awarded. The object is to lower the divisor till (if 100 seats are desired) 100 seats are awarded.
So start with a divisor so large that no party gets a seat. As we lower the divisor, some party will get the 1st seat. Which party? This depends on which party can get a seat with the largest divisor. When every party has 0 seats, we want a party to qualify for 1 seat instead of 0. This means that, when we divide its votes by the divisor, we want to get.5, since that can be rounded off to 1 instead of 0.
For a particular party, what divisor, when divided into its votes, will give us.5? Find out by dividing.5 into that party's votes. This will tell you what divisor will round that party up to 1. So we do this for each party, dividing its votes by.5 The party with the largest result of that division is the party which will be the 1st one rounded up as the divisor is lowered. It gets the 1st seat.
We keep doing this: Say a party has 1 seat. It qualifies for 2 seats if dividing its votes by the divisor results in 1.5 What divisor, divided into its votes, will result in 1.5? We find out by dividing 1.5 into its votes.
So, in general: Divide each party's votes by.5 more than its current number of seats. We can call this division result that party's "score". The party with largest score gets the next seat. Then we again divide each party's votes by.5 more than its current number of seats, to determine which party gets the next seat, etc.
To clarify where it comes from, I've written that wordily. Here's a briefly stated electoral law for this systematic procedure for Webster:
All parties initially have 0 seats. Repeatedly, each party's votes are divided by.5 more than its current number of seats, and the party with largest division-result receives the next seat. This procedure is repeated till the desired number of seats has been awarded. The advantage of this systematic procedure rule is that it avoids the trial-&-error that would be needed to carry out Webster's method, directly from Webster's definition. The countries using Sainte-Lague must have felt that this is important, because they use a systematic procedure.
Actually, though, the systematic procedure that they use differs slightly from the above one: If you double all those numbers ending in.5, by which you divide the parties' votes, you get odd numbers. _That_ is the version of the Webster systematic procedure that is actually used in Sainte-Lague countries. It's the procedure that's given in books, under the name "Sainte-Lague".
The reason, most likely, why Sainte-Lague, as used, uses odd numbers instead of the numbers ending in.5, is that, in pre-computer days, doubling those numbers ending in.5, to get odd numbers, would reduce the number of digits, and get rid of fractions, which would make a non-computerized calculation easier.
But the way I worded it before makes for a much briefer & clearer wording. The odd-numbers procedure could be worded:
"Repeatedly, each party's votes are divided by the odd number equal to one more than twice that party's current number of seats, and the party with the highest division result gets the next seat. This is repeated till the desired number of seats have been awarded"
Obviously a more complicted wording.
The _World Atlas of Elecions_, available in most university libraries, refers to the above procedure as "pure Sainte-Lague". Another version of this is referred to in that book as "Modified Sainte-Lague". Modified Sainte-Lague has a provision to make it more difficult for a small partyk to get its 1st seat. Though some proportionalists are proposing pure Sainte-Lague, no one is proposing modified Sainte-Lague. But it's worth mentioning because some of the Sainte-Lague countries use it:
Where pure Sainte-Lague (odd numbers procedure), when a party has 0 seats, would divide that party's votes by the 1st odd number, 1, modified Sainte-Lague instead divides by 1.4, just to make it more difficult to get a 1st seat, in order to discourage small parties.
But if one isn't using a computer, that can amount to a lot of work, actually using that procedure. There's a quicker way for doing a systematic procedure without a computer:
You'd start as in the quota definition of Webster: If there are 100 seats to be allocated, then the 1st quota is 1/100 of the total vote. So you determine how many votes this quota is, and divide it into each party's votes, to determine how many quotas it has.
If, when you round each party to the nearest whole number and give it that number of seats, let's say this only awards 99 seats:
We have to award one more seat, so we simply do what we did before: Divide each party's votes by.5 more than its current number of seats to find out which party would be the 1st to round up if we were to begin lowering the quota. We give the 100th seat to the party with largest division-result.
Of course it we instead had 98 as the initial number of seats, instead of 99, we'd simply have to repeat the procedure, as described before.
But what if the initial quota awards 101 seats. Then we have to find out which party should lose a seat. An argument analogous to the previous one, this time involving raising the quota until a party loses a seat, leads to the following: Divide each party's votes by.5 less than its current number of seats. The party with lowest division-result is the one that loses a seat.
Why this is--if a party has 3 seats, we want to find out what divior or quota it would take to round it down to 2. So we want to find out what divisor, when divided into that party's votes, would give 2.5 And we find that out by dividing 2.5 into the party's votes. The 1st party to lose a seat as we raise the divisor will be the one with the lowest result of dividing its votes by.5 less than its current number of seats.
This is just essentially the same as the previous arguments, except that it's about finding out who should lose a seat, when the initial quota has awarded too many.
I emphasize that all these procedures (Websters definition, *The systematic procedure starting with 0 seats, dividing by numbers ending in.5 * The systematic procedure dividing by odd numbers, with all parties initially having 0 seats * The systematic procedure I've just described)--All these procedures give the same identical seat allocation.
It may be that a sytematic procdeure makes for a better electoral law, but Webster's definition, either his divisor definition, or the quota definition, is the one that is based directly on the principle of putting each party's seats as close as possible to what is called-for by a common ratio between seats & votes.
Most books on PR give, for Sainte-Lague, the odd numbers formula, without any word on where it comes from, leaving the impression that Sainte-Lague is an arbitrary unexplained procedure. I've approached Sainte-Lague from principle, deriving the systematic procedures from the definition based on principle.
An argument analogous to the ones used above leads to the following
systematic procedure for Jefferson's method:
All parties initially have 0 seats. Repeatedly divide each party's
by 1 more than its current number of seats, and give the next seat
to the party with the largest division-result. Repeat this till
the desired number of seats has been awarded.
All parties initially have 0 seats. Repeatedly divide each party's by 1 more than its current number of seats, and give the next seat to the party with the largest division-result. Repeat this till the desired number of seats has been awarded.
The reason why it's "1 more than the current number of seats, instead of ".5 more than the current number of seats" is that with Jefferson there's no such thing as rounding up, and so to for a party with 2 seats to qualify instead for 3 seats, the result of dividing its votes by the common divisor has to actually equal 3. But the argument leading to the above systematic procedure for Jefferson's method is the same as that for Webster, except for that one difference in rounding.
As I said, this systematic procedure for Jefferson's method is called "d'Hondt". Most countries use it in the form I've written, although it has also been used in an implementation similar to the quicker systematic procedure I described for Webster, for when a computer isn't being used. In that implementation, the parties aren't started with 0 seats, but rather a 1st quota is used, to get an initial result closer to the desired result. The country that was doing this is no longer using d'Hondt, and (as of 1995) it may be that no country is using this quick implementation.


text:
When uploading images to the media library, WordPress will automatically generate several thumbnails so that a more optimized image size can be used.
Since different themes and plugins will often use different sizes, you might need to periodically regenerate your those resized images. In this article, we'll show you how to regenerate your image thumbnails using WP-CLI.
Regenerating All Thumbnails
To regenerate all thumbnails for all images inside your WordPress media library, you can use the following command:
wp media regenerate --yes
Once the command is run, all thumbnails for all images will be regenerated. Of course, if you have a large number of images inside your media library, it might take some extra time to run through them all.
Regenerating Missing Thumbnails
What if you updated your theme to add an additional image size but don't want to regenerate the thumbnails that already exist? You can regenerate thumbnails for only the missing image sizes using the --only-missing option like this:
wp media regenerate --only-missing
Regenerating Thumbnails for Specific Images
If you want to regenerate thumbnails for a specific image, you can specify it by including the attachment ID after the command like this:
wp media regenerate 123
To regenerate thumbnails for multiple specified attachment IDs, just add them to the command like the following example:
wp media regenerate 123 456 789
Keeping Old Thumbnail Sizes
When regenerating your WordPress media library image thumbnails, the default behavior is to delete the old thumbnails. If you want to keep them, you can use the --skip-delete option:
wp media regenerate --skip-delete
Regenerating Specific Thumbnail Sizes
In addition to being able to specify a specific image to regenerate thumbnails for, you can also define a specific thumbnail size to regenerate. To regenerate a specific size, use the --image_size option with the name of your thumbnail size as the value like in the following example:
wp media regenerate --image_size=large


Theorem: The resolvent set is an open subset of \mathbb{C} on which the resolvent is an analytic operator valued function. Resolvents at different points commute and we have
 R λ(T)R μ(T)=(μλ)R μ(T)R λ(T) R_{\lambda}(T) - R_{\mu}(T) = (\mu - \lambda) R_{\mu}(T) R_{\lambda}(T)
The proof can be done as in the bounded case.
Commuting operators
The concept of commuting operators, which is of no problem in the bounded case, presents a conceptual difficulty in the unbounded one: for given operators AA, BB we would like to be able to say whether they commute, although their composite may not have dense domain. For selfadjoint operators there is a solution to this problem: We know that in the bounded case, two selfadjoint operators commute iff their spectral projections commute. This suggests the
 - Definition: two (possibly unbounded) selfadjoint operators commute iff all their spectral projections commute.
The spectral theorem shows that all bounded Borel functions of two commuting operators will also commute.
The following theorem states the reverse for two of the most important functions and shows that the definition of commutation above is reasonable:
 - Theorem: let AA and BB be selfadjoint operators on a Hilbert space \mathcal{H}. Then the following three statements are equivalent:
(a) AA and BB commute
(b) if Imλ\operatorname{Im} \lambda and Imμ\operatorname{Im} \mu are 0\neq 0, then R λ(A)R_{\lambda}(A) and R μ(B)R_{\mu}(B) commute, as it is defined for bounded operators: R λ(A)R μ(B)=R μ(B)R λ(A)R_{\lambda}(A) R_{\mu}(B) = R_{\mu}(B) R_{\lambda}(A)
(c) for all t,st, s \in \mathbb{R} we have exp(itA)exp(isB)=exp(isB)exp(itA)\exp(itA) \exp(isB) = \exp(isB) \exp(itA)
Strongly continuous one-parameter semigroups
A strongly continuous one-parameter semigroup is an unitary representation of \mathbb{R} on \mathcal{H} where \mathbb{R} is seen as a topological group with respect to multiplication, see topological group. An explicit definition recalling these concepts is this:
 - Definition: a function U:()U : \mathbb{R} \to \mathcal{B}(\mathcal{H}) is a one-parameter semigroup if the semigroup condition U(t+s)=U(t)U(s)U(t+s) = U(t)U(s) holds. If for every xx \in \mathcal{H} and tt 0t \to t_0 we have U(t)xU(t 0)xU(t)x \to U(t_0)x then it is strongly continuous. If every UU is an unitary operator, it is an unitary semigroup.
In the following a semigroup will be understood to be a one-parameter unitary strongly continuous semigroup.
In physics, one-parameter semigroups of this kind often represent the time evolution of a physical system described by an evolution equation.
 - Theorem: a selfadjoint operator AA generates a semigroup via U(t):=exp(itA)U(t) := \exp(itA)
 - Theorem (Stone's theorem): let UU be a semigroup, then there is a selfadjoint operator AA such that U(t)=exp(itA)U(t) = \exp(i t A). This operator is often called the infinitesimal generator of UU.
These two theorems are essential for the Schrödinger picture of quantum mechanics, which describes a system by the Schrödinger equation, we have now a one-to-one correspondence of selfadjoint operators which can be seen as Hamilton operators (only special operators will be seen as describing actual physical systems, of course), and semigroups which describe the time evolution generated by the Hamilton operator.
As a trivial observation we add that Stone's theorem is a (huge) generalization of the Taylor series, let f:f: \mathbb{R} \to \mathbb{R} that is (real) analytic in a neighborhood of 00, then we get for xx small enough:
f(h)= k=0 f n(0)n!h n=exp(ih(iddx)) f(h) = \sum_{k=0}^{\infty} \frac{f^{n}(0)}{n!} h^n = \exp(i h(-i \frac{d}{dx} ))
This shows that the operator iddx-i \frac{d}{dx} generates the semigroup of translations on the real line. Now we could, for example, use Stone's theorem to prove that iddx-i \frac{d}{dx} is selfadjoint by proving that the translation group is strongly continuous.
Subtleties resulting from domain issues
(This rather generic title will have to be revised.)
Nelson's example of noncommuting exponentials
Nelson's example shows that the rather involved definition of commutativity of two unbounded operators is well motivated, because a more naive one will have unwanted consequences. It is a counterexample to the following conjecture:
 - Conjecture (false!): Let AA and BB be selfadjoint operators on a Hilbert space \mathcal{H} and DD a dense subset such that both AA and BB restricted to DD are essentially selfadjoint. Suppose that for all xDx \in D we have ABxBAx=0 A B x - B A x = 0. Then AA and BB commute.
We have already seen that on 2\mathbb{R}^2 we can define two essentially selfadjoint operators i x-i \partial_x and i y-i \partial_y that generate translations along the x-axis and the y-axis respectively. Both the generated translations and the operators commute (the latter if applied to differentiable functions, of course).
The central idea of Nelson's counterexample is to replace 2\mathbb{R}^2 by a Riemann surface with two sheets, such that walking east, then walking north takes you to one sheet, while walking north then walking east takes you to the other sheet.
We use the Riemann surface MM of f(z)=(z)f(z) = \sqrt(z). We give a brief exposition of its construction: take two copies of \mathbb{C}, two "sheets", and call them I and II. Cut both sheets along (0,)(0, \infty), label the edge of the first quadrant along the cut as ++ and the edge of the fourth quadrant as -. Then attach the ++ edge of I with the - edge of II and the - of I with the ++ edge of II.
Let =L 2(M)\mathcal{H} = L^2(M) with respect to Lebesgue measure. As indicated above we define A = i x-i \partial_x and B = i y-i \partial_y, this is with respect to the canonical chart on each sheet that projects it onto \mathbb{C} and then identifies \mathbb{C} with 2\mathbb{R}^2.
Let DD be the set of all smooth functions with compact support not containing 00. Then:
(a) AA and BB are essentially selfadjoint on DD
(b) AA and BB map DD onto DD
(c) for all xDx \in D we have ABx=BAxA B x = B A x
(d) exp(itA)\exp(i t A) and exp(isB)\exp(i s B) do not commute.
Only part (a) needs further explanation…
 - Konrad Schmuedgen, Unbounded self-adjoint operators on Hilbert space, Springer GTM 265, 2012
Chapter VIII of the following classic volume is devoted to unbounded operators:
Nelson's example is taken from the above reference, the original reference is this:
 - Edward Nelson: Analytic Vectors Ann.Math. 70, p.572-615, 1959
category: analysis
Revised on March 1, 2015 22:31:36 by Gabriele Tornetta? (