text:
How do you ask a girl for pictures?
Here's how to politely and respectfully ask to see more photos of her:
- 1) Begin by starting a conversation! It's better to ask for more photos once you've been talking back and forth a bit, first.
- 2) Wait a couple of solid message exchanges. Get the conversation going first.
- 3) Ask politely to see more pics!
What to say to a girl when she sends you a picture?
- "You have the prettiest eyes."
- "You have the best cheekbones."
- "You Are Gorgeous"
- "You Have Such a Positive Charisma"
- "I Like Your Style"
- "You Hair Looks Amazing"
- "There's Something About You"
- "You are Different than the Other Girls"
Should I ask a girl for pics?
In my experience, the best practices for asking a girl for sending pictures of herself are as following: Don't ask unless you've already gotten to know her a bit and are already somewhat close to her. Don't even think about asking her for more pictures unless she is expressing interest in continuing to talk to you.
How do you ask someone to take a picture?
- Put your camera on the Auto mode. Make it as easy as you can for your potential photographer.
- Look around for someone to take your picture. Some people to look for are:
- Make eye contact and smile. Don't just walk up to your camera and hand it to them.
- Ask them.
- Relax and trust your instincts.
- Thank the person.
What do I ask a girl?
12 Best Questions to Ask a Girl You Like
- What's something you thought you'd grow out of but haven't?
- What age do you feel right now and why?
- As the only human left on Earth, what would you do?
- How different was your life one year ago?
- What is your best childhood memory?
- What's something you've always wanted to try?
What does it mean when a girl asks for a selfie?
What does it mean when a girl asks you to send her a picture of yourself that you took with your camera or phone? It means the girl would like a picture of you, one that looks like you took it with your camera or phone.
What does? mean from a girl?
? Meaning – Two Hearts
This emoji is widely used to express warm feelings, love and romance. This emoji is present in many romantic texts, and can mean everything that is related to it: from "love is in the air" to the deeper and mature emotions. Sometimes used by girls simply to decorate warm friendly letters.
What does? mean from a girl?
Mwah! The winky-kissy face throwing a kiss emoji, or kissing face, is mostly used to express romantic affection or appreciation for someone or something.
What does ☺ mean from a girl?
☺ Smiling Face
Conveys a wide range of warm, positive feelings, including love, happiness, and gratitude. Similar to? Smiling Face With Smiling Eyes, which has a broader smile, no eyebrows, and smiling eyes. This smiley predates Unicode emoji support.
What is a dirty picture?
The Dirty Picture is a 2011 Indian biographical musical drama film inspired by the life of Silk Smitha, a South Indian actress noted for her erotic roles. The filmmakers have clarified that the story is not officially or literally based on Smitha alone, but on many of her southern contemporaries such as Disco Shanti.
How do you get a girl to send you?
How Do I Get a Girl to SEND NUDES? –
How do you talk to girls?
Here are 4 simple things to talk about with a girl to keep the conversation going:
- Talk About Your Day. One easy trick to keep the conversation flowing is to talk about your day.
- Talk About Yourself. Another go-to topic is yourself.
- Talk About Her. Finally, just encourage her to talk about herself!
- Ask The Right Questions.


text: Network forensics and Network Intrusion Detection Systems (NIDS) have ultimately become so important to corporations that in many cases they have been relied upon to identify the actions of offenders and to provide sufficient details to prosecute them. Unfortunately, as data links on corporate networks have increased to saturation, more information is being missed and even though corporations have spent heavily acquiring loud, power hungry devices to monitor their networks. A more power efficient solution, which consumes less electricity, yet provides the same or better packet inspection is an obvious solution.. This paper discusses a possible solution using a cluster of Raspberry Pis, a credit card sized computer valued at AUD$40 each. These tiny devices (whilst individually are limited in power and bandwidth) can be clustered together with economic benefits. This multi-GPU environment can inspect more data and therefore log more information for investigators. Overall it offers easier maintenance and therefore can be kept up to date easier. Finally clustering many of these devices may provide corporations with a better understanding as to what is occurring on their networks at a cheaper on-going cost.

source: openbmb/Ultra-FineWeb


I am using a switching voltage regulator to go from 5V to 3.3V, 1A of output current. The datasheet specifies 22uF ceramic capacitors for the input and output. Can I use 2 10uF capacitors instead of one 22uF capacitor?
Besides the difference in frequency response (10uF has a higher resonant frequency), is there a reason why one 22uF would be better than using two 10uF?
 - \$\begingroup\$ Normally, that would be ok. 22 uF ceramic? Or electrolytic? \$\endgroup\$ – Mike Waters Jan 12 '17 at 0:43
 - \$\begingroup\$ Its close enough so you should be OK. Keep the two caps electrically close together. And since it is a switcher, remember to pay attention to the type of capacitor the manufacturer recommends. The wrong type of capacitor could effect the longevity and reliability of the circuit more than the 2uF difference from the recommended value. \$\endgroup\$ – Randy Jan 12 '17 at 0:44
 - \$\begingroup\$ _USER_, it specifies "Low ESR Ceramic (MLCC)". \$\endgroup\$ – Adam B Jan 12 '17 at 0:50
 - \$\begingroup\$ _USER_ To get a really concrete answer, please post the part numbers for: your switching voltage regulator, the 22uF capacitor, the 10uF capacitor. \$\endgroup\$ – Nick Alexeev Jan 12 '17 at 1:11
Two is usually better than one for ceramic.
In a non-electrolytic capacitor and electrolytic capacitors with solid electrolyte the metallic resistance of the leads and electrodes and losses in the dielectric cause the ESR. Typically quoted values of ESR for ceramic capacitors are between 0.01 and 0.1 ohms. ESR of non-electrolytic capacitors tends to be fairly stable over time; for most purposes real non-electrolytic capacitors can be treated as ideal components. (Wikipedia on ESR)
The ESR for the capacitors are limited by the manufacturing process and related more to physical size than value. Depending on the type of capacitor being used, the ESR of two in parallel will be less than a single capacitor of twice the value.
If you look at this Murata catalog you will see that the ESR is defined for a range of physical sizes rather than per capacitance value.
Two 10uF would probably be better, due to them likely having lower ESR or equivalent series resistance. If it calls for ceramic, stick to ceramic. Don't change type of capacitor, as the different types can have drastically different ESR. The only reason one 22uF would be better is because there is one less component to place on the PCB and might cost slightly less.
 - \$\begingroup\$ Thanks! The datasheet specifies "Low ESR Ceramics". The 22uF are 9x more expensive (probably due to the size), so using 2 10uF seems like a better option. \$\endgroup\$ – Adam B Jan 12 '17 at 0:49
 - 1
 \$\begingroup\$ Yes, the very high capacitance ceramic caps in a small package can get very expensive since it's pushing the limits of the technology. I also use several parallel caps when I need low profile height. \$\endgroup\$ – Vince Patron Jan 12 '17 at 0:57
 - \$\begingroup\$ Yes the larger value ceramics can get more expensive, however consider the larger footprint of two components, the added cost of a second component, and setup/tooling and placement fees for automated assembly. It probably would be less overall for two components, but due dilligence is a good idea here. PS make sure the cap's voltage rating is double the maximum peak ripple voltage (and don't overshoot RMS current) for best reliability. \$\endgroup\$ – rdtsc Jan 12 '17 at 12:19
Your Answer


text: The new bonsai like PhotonSynthesis designed by designer Vivien Muller is a device which seems straight out of designer text books. The device consists of 54 mini photovoltaic leaf panels which are needed for charging various gadgets. The connecting power cords are hidden beneath the tray that holds the overall plant. The so called branches of this tree consist of solar panels which store the electric energy from the sun in the battery which can be produced at the time of recharging the electric device. Thus it's a nice utilization of natural resources to take care of our daily needs though it's tempting enough to say that power does grow on trees.


text: The Thai amulets that created in an image of Lord Buddha meditation were made to explain the Dharma of Buddha and believed to bless every life in this world for good karma. Phra Somdej Wat Rakhang amulet is the top of the five most famous Thai amulets. There are many molds with various compositions. In this work, it was the first time that X-ray fluorescence spectrometry methods; scanning electron microscope cooperated with energy dispersive X-ray fluorescence spectrometer (SEM/EDS) and particle induced X-ray emission spectroscopy (PIXE) were carried out to analyze their compositions. Two samples were collected from different molds. Results revealed C, Ca and Si were main composition. The differences in their compositions have been used to identify and characterize for each molds.


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Replacing some of the cocoa butter with milk fat can control fat bloom in chocolate, according to new research from Canada.
Fat bloom frequently results in significant product losses for confectionary manufacturers as, although it does not affect the taste, the tell-tale sign of the bloom - a white frosting - is unacceptable to consumers.
Fat bloom is a consequence of changes in the fat structure of the substance and can be caused by inadequate cooling processes whereby tiny temperature fluctuations as small as plus or minus 2°C can cause cocoa butter crystals to melt and then recrystallise, forming large cone-like structures that scatter light giving a dull appearance.
Food science professor at Ryerson University, Derick Rousseau, was the lead researcher in a study published in Food Chemistry that found that the partial replacement of cocoa butter (five per cent) with milk fat (MF) in chocolate manufacturing reduces the incidence of large surface crystals and the number and diameter of cones.
The results also show that the addition of MF decreases the surface roughness and the rate of surface coarsening.
The amount of milk fat is crucial, claims Rousseau, with the study demonstrating that the addition of 7.5 per cent MF made for a chocolate too soft to handle with a lack of snap and poor melting properties.
"The addition of five per cent MF was a suitable compromise between maintaining the sensory properties of chocolate and robustness to temperature cycling," he continued.
He said that the results show that milk fat reduces the initial solid fat content, and slows the rate of change in whiteness index.
Rousseau also found that the fat crystal growth is accelerated by repeated temperature-cycling compared to isothermal conditioning but that cone hardening occurs more rapidly when isothermally-stored.
Irrespective of fat composition and storage conditions, fat crystal growth, welling and ultimately fat bloom begin only at specific locations on the chocolate surface, he added.
He said that this suggests that chocolate's microstructural heterogeneity is responsible for distinct surface fat crystallisation pathways.
Source: Food Chemistry
Published online ahead of print: DOI:10.1016/j.foodchem.2009.06.031
Title: Controlling fat bloom formation in chocolate – Impact of milk fat on microstructure and fat phase crystallisation
Authors: S Sonwai, D Rousseau

source: HuggingFaceFW/fineweb-edu


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What is Marjoram?
Marjoram is a fragrant herb that is native to the Mediterranean region. It is a member of the mint family and has a sweet, slightly bitter flavor. The herb is commonly used in Mediterranean, Middle Eastern, and North African cuisines to flavor a variety of dishes, such as stews, soups, meat dishes, and salads.
It is also used for medicinal purposes, such as to soothe digestive issues, relieve headaches, and promote relaxation. The essential oil extracted from marjoram is used in aromatherapy and can also be applied topically to alleviate muscle and joint pain.
This herb is often confused with oregano, which is also a member of the mint family and has a similar flavor profile. However, it has a milder, sweeter taste compared to oregano, which has a stronger, more pungent flavor.
How does it taste
It is sweet, slightly bitter, and pungent flavor, with hints of pine and citrus. Often described as having a delicate and floral taste that is similar to oregano but milder. It is commonly used in Mediterranean, Middle Eastern, and North African cuisines to add flavor to meat dishes, stews, soups, and salads.
The herb is also a popular ingredient in spice blends, such as za'atar and herbes de Provence. Overall, it adds a warm and savory flavor to dishes, making it a versatile herb in the kitchen.
It is commonly used in Mediterranean and Middle Eastern cuisine. Here's a simple recipe that you can try at home:
- Fresh marjoram leaves
- Olive oil
- Wash the leaves and pat them dry with a paper towel.
- Remove the leaves from the stems and discard the stems.
- Chop the leaves finely.
- Place the chopped marjoram leaves in a bowl and add a pinch of salt.
- Drizzle a small amount of olive oil over the marjoram leaves and stir to combine.
- Taste and adjust the seasoning as needed.
- Use the marjoram as a garnish for soups, stews, salads, and other dishes. You can also mix it with other herbs like thyme and rosemary for a flavorful herb blend.
Note: Marjoram has a delicate flavor, so be careful not to overpower it with too much salt or oil. Also, it's best to use fresh herb for this recipe as dried marjoram can be quite strong.


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Vietnamese Pond Turtle Mauremys annamensis refound in wild by scientists after 65 years
20 December 2006 | News story
Efforts to find the Vietnamese pond turtle, Mauremys annamensis, last officially recorded in the wild in 1941, yielded a major success last week when a young female turtle was successfully trapped by biologists in central Vietnam. Although specimens have occasionally been observed in wildlife trade, it had not been seen in the wild by scientists for 65 years.
In April of 2006 the Asian Turtle Program, a conservation partnership that includes the IUCN SSC Turtle Survival Alliance, carried out its fourth major survey in central Vietnam aimed at identifying a site where a wild population of Vietnamese pond turtles might survive. During the April survey, local residents in a small community not too far from historic Hoi An (Quang Nam province) produced several live specimens that they had reportedly caught locally. Subsequent interviews with other residents in the community and a local turtle hunter suggested that the pond turtles could still be found seasonally in local streams and a small lake complex.
In late November, a field team led by Tim McCormack and Nguyen Xuan Thuan revisited the community to complete a project feasibility assessment, in preparation for a site-based project planned by the Asian Turtle Program that would include active conservation measures aimed at protecting turtles at the site, and establishment of a monitored release and head-start initiative at an appropriate site in the area utilizing turtles born at the Cuc Phuong Turtle Conservation Center. During the assessment, several traps were tested in the local lake complex, and after three days of trapping, a single specimen was recovered from one of the traps.
Although specimens have been observed in the trade and being kept in local communities, such observations have become less frequent in recent years, which is most likely an indication of reduced numbers in the wild. The Vietnamese pond turtle's lowland habitat is also under tremendous pressure from agricultural expansion, aquaculture, and development.
While hunters have clearly had little difficulty finding Vietnamese pond turtles in the wild, the field team's finding clearly is the first known documented record for Mauremys annamensis, captured within its habitat, since 1941.
The Asian Turtle Program wishes to thank the Human Society International and the German Ministry of Environment for their generous support.
IUCN SSC Turtle Survival Alliance
For further information please contact:
Asian Turtle Program, Hanoi, Vietnam
Tel. 84 (0)4-_PHONE_ Email: _EMAIL_
Visit the Asian Turtle Conservation Network website: _URL_


well! Wagyu beef is a term everyone is aware of, even if someone hasn't had the pleasure of tasting this luxurious beef. Despite the popularity of this beef worldwide, some people still remain skeptical about eating it because of the popular myths circulating around. So we thought we would do some myth-busting!
Wagyu Beef Is Over Priced
If any beef is highly sought after and luxurious in the world, it's the Wagyu beef! Only four breeds of cattle can produce authentic Japanese Wagyu beef, all of which are raised in Japan's specific prefectures. The ranchers take special care of these cattle and pay attention to every detail in order to produce high-quality meat. The industry is implementing innovative traceability due to the increasing popularity of Wagyu beef around the world.
Eithers its kobe beef or Miyazaki, The Wagyu beef is given an overall beef quality score after it has been assessed through five very specific grading criteria. The highest quality Wagyu is graded as A5 Wagyu beef as in Grade A for yield and grade 5 in the remaining categories. The strict grading process ensures the beef's consistency in both quality and authenticity. Thus, the Wagyu beef cannot be produced or graded the same way anywhere in the world, which makes it a one of a kind, reasonably expensive product.
Wagyu Beef Is Just Fat & Fat
The unique marbling on the Wagyu meat is what makes it so special. This marbling is created by intramuscular fat running throughout muscle fibers, which only occurs in Wagyu cattle with proper genes. The Wagyu cattle are fed a high-energy diet that supports intramuscular fat cell growth, which is why, unlike other regular forms of beef, the Wagyu contains a high amount of unsaturated fat and Omega 3s. Due to the high percentage of unsaturated fats, Wagyu beef has the lowest cholesterol levels, ultimately reducing the risk of heart diseases. The fat content in Wagyu beef is healthy for human body energy production and cell growth.
Wagyu Is The Same In All Regions
The Japanese Wagyu is produced using four different breeds of cattle: (Shorthorn, Black, Polled, and Brown). It is tracked via nose prints and Cattle ID numbers and goes through a strict grading system.
Australian Wagyu is raised the same way, but the cattle are often crossbred. The cattle are often offspring of the full-blooded and domestic breed, i.e., Red or Black Angus.
American Wagyu is crossbred with Black Angus as well. American and Australian Wagyu will not have the same marbling, texture, and taste as Japanese Wagyu due to crossbreeding and region-based diets.
Myths: Busted!
We hope we have debunked the most popular myths about Wagyu beef. However, you can always find out true facts about the Wagyu beef by asking questions from us at Fine Wagyu. We deal in authentic and genuine Japanese Wagyu beef.
Here's Everything You Need to Know About Essay & Its Structure
The word 'essay' is generated from the French word. An essay is a short article or short subjective composition writing. Word count depends on your professor. As compared to paper writing, essay writing is much easy, as there is no need for deep research and systematic presentation of thoughts. It is formal writing on a given subject. In essay writing, you need not worry about the structure of the essay. The essay presents useful information to readers. You have to write on a topic related to academic subjects but in your own words and with your point of view. It should not in the form of a list, but it must be descriptive like a story. It is necessary to put effort to express your thoughts and ideas. If you are struggling to explore your points, ask for help from a top essay writing service.
There are a few types of essay writing through which you can express the ideas.
Informative essay
The informative essay provides information to readers with the simple basic structure of essay writing and much more useful knowledge.
Argumentative Essay
This essay shows an argument concerned with a problem. Write your views supporting a side of the issue. Give evidence that are addressing your thoughts.
Compare and contrast essays
This type of essay examines the differences and similarities between the two topics.
Descriptive essay
This type of essay is always expansive. As the name suggests, it describes the things so that readers can view the things in their minds. Organising structure is very much necessary for essay writing will save time and the best presentation, so construct an essay with given steps and follow instructions to generate the thoughts.
The title must be brief and interesting to readers so that they can start reading eagerly.
It is necessary to give an attractive introduction to grab the reader's attention. Write about the background of the topic and then write an essay statement.
Make outline
Do a plan for your writing, such as which point where you want to present. Use that plan in the main body for final writing work.
Main body
Prepare some points on which you have to write paragraphs. The main body should contain 4 or 5 paragraphs. Each paragraph should start with the sentence addressing the title, and the paragraph should address the essay statement or argument statement. Write the final concluding statement or answer to the argument statement in the main body.
Summarize main points from each para, restate the argument statement or essay statement in a different way. Write the consequences or effect related to the topic.
Mention the list of books, journals, and sites you have taken reference for essay writing.
Proofreading is a necessary part before submission. You can correct the mistakes and check the flow of writing. You can remove an unfamiliar statement in proofreading.
The essay takes much time to complete expansive writing. To target the best academic essay writing implication, feel free to contact the top essay writing service.
Decide what type of essay you have to write, achieve your deadline, and upgrade your academic grade with the best writing services.
7 HR Dissertation Topics That Students Should Not Ignore in 2020
For students, writing an HR dissertation is not an easy job. There are many factors to consider when writing. It will help produce top-notch paper-like: students should read the instructions, guidelines, follow the structure, maintain continuity, and avoid grammar mistakes. Besides, students should pick an appropriate topic. That's because it helps to produce high-quality paper. You will never get tired of writing on the topic because it interests you. Thus, you write the paper with full determination to secure high grades. Moreover, you will revise the paper and make it flawless. But if you pick a wrong topic, you will produce a low-quality paper, and the audience will lose interest to read it further. Now, selecting HR dissertation topics is complicated. That's because you need to keep many things in mind, such as how trendy the HR topic is? Are people aware of it? Remember, if you pick an old topic, it will not impact the reader, and the audience will not read it. The purpose of writing an HR dissertation is to present your opinion and feedback on a specific topic. It consumes a lot of time and energy. Besides, it's hard to complete in a few months. To help you with your topic selection, here is an article that will present the top dissertation topics of 2020.
 1. Employees' selection process: How can it be improved?- For students, it will be an interesting topic to research. Here a student has to present effective ways on how the employee selection process can be improved. Explain each step in detail.
 1. The policies of HR for affected employees – Here, the students should carry in-depth research on the topic and find out the policies the HR has designed. For example,- how HR will deal when there is a gap between employees working, how the companies through HR will provide support to the affected patients, and more.
 1. The employee's cooperation for HRThe pandemic has changed the way we work. Hence, students selecting this topic to write should highlight the points of how employees are supporting the decisions taken by HR policymakers during the COVID-19.
 1. How online digital platforms have helped organizations in recruiting effectively and efficientlyIt's an interesting topic to write about. Many organizations have adopted different techniques and methods to recruit candidates during the pandemic. So, you should find out how online digital platforms have helped organizations in hiring candidates and explain them.
 1. Ways to boost employee productivityHere, one has to list the methods that can help increase employees' productivity levels at the office and explain them.
 1. The impact of motivation programs on employee performanceSelecting this topic to write will help you understand how motivation programs can improve employee performance. You need to list down all positive impacts and explain them with an example.
 1. The role of human resource policies in the success of an organizationHere, you need to write down the importance of human resource policies and how it will help the organization to be successful. Highlight some essential policies and present the policies that should be introduced.
These are some of the HR dissertation topics that students can choose to compose a dissertation. However, if you want to submit an excellent paper and achieve high grades, make sure to pick an interesting topic of your choice. Thus, impress your professor and show everyone your skills. In case you are running out of time, then consider taking professional help online.
C-H-E-A-P Strategy for Choosing the Best Assignment Writing Service
Many students work part-time after school or college. Some might have limited pocket-money and tons of responsibilities to focus on. But now you can attend to other responsibilities, along with your writing tasks. There are professional


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Alternate Job Titles: Intermediate Level Safety Representative, Safety Representative II
How much does a Safety Representative II make? The median annual Safety Representative II salary is $67,488, as of August 03, 2017, with a range usually between $58,108-$77,835, however this can vary widely depending on a variety of factors. Our team of Certified Compensation Professionals has analyzed survey data collected from thousands of HR departments at companies of all sizes and industries to present this range of annual salaries for people with the job title Safety Representative II in the United States.
This chart describes the expected percentage of people who perform the job of Safety Representative II in the United States that make less than that annual salary. For example the median expected annual pay for a typical Safety Representative II in the United States is $67,488, so 50% of the people who perform the job of Safety Representative II in the United States are expected to make less than $67,488.
Source: HR Reported data as of August 03, 2017
This chart describes the expected percentage of people who perform the job of Safety Representative II that make less than that salary. For example 50% of the people who perform the job of Safety Representative II are expected to make less than the median.
Source: HR Reported data as of August 2017
Outlines and implements training programs to educate and inform workforce on work safety, environmental safety, and accident prevention regulations and procedures. Develops and distributes educational materials including videos, guides, and posters. Tracks and documents accidents to understand causes and recommend changes to prevent future accidents. Performs inspections and audits of facilities, equipment and processes recommending corrections or additional precautions to ensure compliance to established regulations. May participate in the training of workplace safety officers. Has a broad and current knowledge of all government and applicable industry safety regulations. Typically requires a bachelor's degree or its equivalent. Typically reports to a supervisor. Gaining exposure to some of the complex tasks within the job function. Occasionally directed in several aspects of the work. Typically requires 2 to 4 years of related experience. View full job description


text:
Science Fair Project Encyclopedia
|President of the|
Historically, Landes was part of Gascony. It was one of the original 83 departments created during the French Revolution on March 4, 1790. It was created from parts of the provinces of Guyenne and Gascony.
- Prefecture website (in French)
- Conseil Général website (in French)
Landes is also the name of a commune in the Charente-Maritime département, in France.
The contents of this article is licensed from _URL_ under the GNU Free Documentation License. Click here to see the transparent copy and copyright details


text:
Full name: gram/millilitre
Plural form: grams/milliliter
Alternate spelling: grams/millilitre
Category type: density
Scale factor: 1000
The SI derived unit for density is the kilogram/cubic meter.
1 kilogram/cubic meter is equal to 0.001 g/ml.
Valid units must be of the density type.
You can use this form to select from known units:
I'm feeling lucky, show me some random units


text:
Salar de Uyuni Magical realism in the Bolivian Altiplano.
Salar de Uyuni (or Salar de Tunupa) is the world's largest salt flat at 10,582 square kilometers (4,086 sq mi).
It is located in the Potosí and Oruro departments in southwest Bolivia, near the crest of the Andes, and is at an elevation of 3,656 meters (11,995 ft) above mean sea level.
The Salar was formed as a result of transformations between several prehistoric lakes. It is covered by a few meters of salt crust, which has an extraordinary flatness with the average altitude variations within one meter over the entire area of the Salar.
The crust serves as a source of salt and covers a pool of brine, which is exceptionally rich in lithium. It contains 50 to 70% of the world's lithium reserves, which is in the process of being extracted. The large area, clear skies and the exceptional flatness of the surface make the Salar an ideal object for calibrating the altimeters of Earth observation satellites.
The Salar serves as the major transport route across the Bolivian Altiplano and is a major breeding ground for several species of pink flamingos. Salar de Uyuni is also a climatological transitional zone, for towering tropical cumulus congestus and cumulus incus clouds that form in the eastern part of the massive salt flat during the summer, cannot permeate beyond the salt flat's considerably more arid western edges, near the Chilean border and the Atacama Desert.
The geological history of the Salar is associated with a sequential transformation between several vast lakes. Some 30,000–42,000 years ago, the area was part of a giant prehistoric lake, Lake Minchin. Its age was estimated from radiocarbon dating of shells from outcropping sediments and carbonate reefs and varies between reported studies.
Lake Minchin (named after the Juan B. Minchin of Oruro) later transformed into paleolake Tauca having a maximal depth of 140 meters (460 ft), and an estimated age of 13,000–18,000 or 14,900–26,100 years depending on the source.


text:
in the UK
Four Corners is an integrated four-skills English course for adults and young adults. Four Corners Workbook, Level 2 has eight-page units that can be used in class or for homework. Each unit provides students with additional vocabulary, grammar, functional language, and reading practice.
Cambridge University Press
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Bird Watching in Pakistan
The Chukar (Alectoris chukar) is a
Eurasian upland game bird in the pheasant family Phasianidae of the order
Galliformes, gallinaceous birds. Its native range in Asia from Pakistan and
Kashmir, India and Afghanistan. It is closely related and similar to its western
equivalent, the Red-legged Partridge, Alectoris rufa. The Chukar is a rotund
32-35 cm long bird, with a light brown back, grey breast, and buff belly. The
face is white with a black gorget. It has rufous-streaked flanks and red legs.
When disturbed, it prefers to run rather than fly, but if necessary it flies a
short distance on rounded wings. Chukar prefer rocky, steep, and open hillsides.
The Chukar is a resident breeder in dry, open, and often hilly country. In the
wild, Chukar travel in groups of 5-40 birds called coveys. It nests in a
scantily lined ground scrape laying 8 to 20 eggs. Chukars will take a wide
variety of seeds and some insects as food. When in captivity, they will lay 1
egg per day throughout the breeding season if the eggs are collected daily. For
hunters, Chakur is a very challneging bird becuase of its surgical upward
flights and sudden disappearances in the bushes.
Western Tragopan pheasant - Pallas's
Fish-eagle - Greater Spotted Eagle
Pakistan, due to its diverse weather
and varied land is home to some of the rare and exclusive birds in the world.
Its wetlands and lakes attract millions of migratory birds from across the
globe, specially Siberia each year, which besides its own native birds in their
natural habitat in the jungles and mountains, provide an excellent opportunity
to the bird watchers around the world. Western Tragopan pheasant (Tragopan
melanocephalus) is one of the rare species that exists in the northerly
mountains and the Macharia National Park, where it is being bred and chances are
that this beautiful bird will be able to be saved of its near extinction in
Some of the bird sanctuaries and wild
life habitats in Pakistan are as under:-
Park: This park provides refuge to the elusive leopard and
the black bear along with excellent birding.
Gol National Park: The park is the home of the elusive snow leopard
and some interesting birds.
National Park: Birds in the park include Golden eagle, Lammagier
Vulture, Griffon Vulture, Laggar falcon, Peregrine Falcon, Kestrel, Indian
Sparrow Hawk and Snow cock.
Drigh Lake: The lake is an
important breeding and wintering area for a wide variety of water
Lammagier Vulture - Griffon Vulture -
Laggar falcon - Kestrel
Haleji Lake: Asia's
greatest water fowl reserve, Haleji Lake is 70 km (about 52 miles) from
Karachi. During winter, a hundred thousand birds fly down to Haleji from the
cold of Siberia. It is a bird watchers' paradise. Between Bhanbhore and
Thatta, if you turn into the countrylane by the 82km (51/1 mile-furlong stone)
a 6-km long drive will bring you to the largest bird sanctuary of the country,
Haleji Lake. During the winter, migatory birds come to this lake in very large
numbers to the great delight of the bird watchers. You can drive along the 16
km. (10 miles) track around the lake for photography or bird watching.
Ganji Chiltan National Park: In the folds of these mountains, many
species of birds make their homes.
National Park: Dalmatian Pelican (Pelecanus crispus)
Indus Dolphin Reserve and Kandhkot
Wetland: The vast Indus Basin wetland include Common Teal (Anas crecca),
Marbled Teal (Marmaronetta angustirostris), Great Egret (Casmerodius
albus),Dalmatian Pelican (Pelecanus crispus), Little Cormorant (Phalacrocorax
niger), Pallas's Fish-eagle (Haliaeetus leucoryphus), Greater Spotted Eagle
(Aquila clanga), Imperial Eagle (Aquila heliaca), Black-tailed Godwit (Limosa
limosa), Spotted Redshank (Tringa erythropus), Little Stint (Calidris minuta),
Small Pratincole (Glareola lactea), River Tern (Sterna aurantia), Indian
Skimmer (Rynchops albicollis), Pale-backed Pigeon (Columba
Black-tailed Godwit - Dalmatian Pelican
- Mallard - Northern-Shoveler
Kinjhar (Kalri) Lake:
The largest freshwater lake in Pakistan with extensive reedbeds.
National Park: The park is home to some rare species of mammals as
well as a great variety of birds.
Keti Bundar North Wildlife
Sanctuary: Marbled Teal (Marmaronetta angustirostris), Dalmatian Pelican
(Pelecanus crispus), Greater Spotted Eagle (Aquila clanga), Imperial Eagle
(Aquila heliaca), Indian Skimmer (Rynchops albicollis)
Khabbaki Lake: The lake is
important as a staging and wintering area for a wide variety of water
Kheshki Reservoir: A small
storage reservoir, originally created to supply local villages with water, now
popular with birds.
National Park: Watch for birds as the hills move back from the road,
the valley opens out and the river dwindles to a tiny mountain stream with the
odd tuft of grass, willow or birch along its banks
Kandar Dam: A tiny water
storage reservoir (at maximum capacity its area is only 47ha) set in stony
hills to the west of the Indus river.
Suhanra National Park: The park is actually a wildlife sanctuary and
features watch towers and tourist huts. Mallard (Anas platyrhynchos), Northern
Shoveler (Anas clypeata), Pallas's Fish-eagle (Haliaeetus leucoryphus),
Greater Spotted Eagle (Aquila clanga) and Imperial Eagle (Aquila heliaca) are
some of the birds that can be seen here.
Imperial Eagle - Indian Skimmer - Common
National Park: Located in the Azad kashmir, this park of special
significance since here rare breeds of pheasants, specially the Western
Tragopan pheasant (Tragopan melanocephalus) is bred and efforts are at hand to
save this beautiful bird from extinction.
Malugul Dhand: A shallow,
brackish lake formed by seasonal flooding of a "dead arm" of the Kurram
Mangla Lake: Mallard (Anas
platyrhynchos), Common Teal (Anas crecca), Marbled Teal (Marmaronetta
angustirostris), Common Pochard (Aythya ferina) and Tufted Duck (Aythya
fuligula) are some of the birds that flock the vast blue waters of Mangla Dam
Marala Game Reserve: Mallard
(Anas platyrhynchos) and Common Teal (Anas crecca) can be seen
Hills National Park: Park provides an excellent opportunity for bird
Naran Reserve Forest to
Saif-ul-Maluk Lake: The clear blue water of the lake, surrounded by snoa
covered "Malka Parbat" mountain attract White-cheeked Tit (Aegithalos
leucogenys), Brooks's Leaf-warbler (Phylloscopus subviridis), Spectacled Finch
(Callacanthis burtoni) and Orange Bullfinch (Pyrrhula aurantiaca) each year.
Nothing could be more awe inspiring than watching birds at 12,000
Brooks's Leaf-warbler - Spectacled Finch
- Ruddy Shelduck
Palas Valley: The
temperate forest in this high valley supports around 325 pairs of the very
rare and beautiful Western Tragopan, along with a number of other west
Rann of Kutch Wildlife
Sanctuary: The endless marshes of Rann of Kutch on the border of India and
Sind Province of Pakistan are home to Ruddy Shelduck (Tadorna ferruginea),
Common Shelduck (Tadorna tadorna), Eurasian Wigeon (Anas penelope), Northern
Shoveler (Anas clypeata), Northern Pintail (Anas acuta), Common Teal (Anas
crecca), Greater Flamingo (Phoenicopterus roseus), Indian Vulture (Gyps
indicus), Sarus Crane (Grus antigone), Common Crane (Grus grus), Pied Avocet
(Recurvirostra avosetta), Kentish Plover (Charadrius alexandrinus),


Congaree National Park
Situated along the meandering Congaree River in central South Carolina, Congaree National Park is home to champion trees, primeval forest landscapes, and diverse plant and animal life. This 22,200-acre park protects the largest contiguous tract of old-growth bottomland hardwood forest remaining in the United States. Known for its giant hardwoods and towering pines, the parks floodplain forest includes one of the highest canopies in the world and some of the tallest trees in the eastern United States.
Plan Your Visit
Photos from Park Visitors


text:
Financial health reflects residents' ability to manage their daily finances, be resilient to economic shocks, and pursue opportunities for upward mobility. Credit health is an important component of overall financial health, in addition to savings, income, and wealth. During economic crises like the COVID-19 pandemic, financially healthy residents can better weather the storm, help stabilize city finances, and contribute to economic recovery. But financial health, like economic recovery, is unevenly distributed across racial and economic groups. And advancing inclusion through financial health requires intentional policies and actions.
Using credit bureau and alternative financial services data on over 5 million US adults with a credit file from 2010-2020, we find that:
- Credit health among Chicago residents—measured by changes in credit scores, credit use, and delinquencies—improved after the Great Recession and into COVID-19 as of October 2020. These trends suggest choices by federal, state, and local policymakers and private-sector partners to help families weather the impacts of COVID-19 are making a difference in their credit health.
- Disparities by race illustrate that the last economic recovery failed to adequately address systemic barriers facing families of color. The share of Chicago residents in communities of color with subprime credit scores (39.5 percent) is nearly 4 times higher than in majority-white communities in the city (10.9 percent). Without sustained support and intentional policies that address racial barriers, the economic impacts of COVID-19 could create major setbacks on the pathway to inclusive economic recovery.
- Credit health is one component of financial health; while credit measures improved, other data point to increased food insecurity, employment income loss, and other hardships, indicating an uneven recovery. Credit data cannot capture the experiences of about one in ten US adults who do not have a credit file, and people of color are disproportionately represented in this group. Credit data also do not reflect residents' ability to make timely payments once loan forbearance and other protections end, since reporting requirements make qualifying loans that were current before borrowers sought accommodations appear current during forbearance. Even residents with strong credit health may face challenges if underlying financial circumstances—income and savings—have not improved. Assessing the state of resident's incomes, savings, and other assets will be important for understanding the full impact of COVID-19 on financial health.


text:
'Explorify in the Garden' is a practical one day course that will inspire you to take the Primary Science curriculum outdoors with confidence, using the rich tapestry of opportunities that nature, plants and growing provide.
The RHS has teamed up with Wellcome to develop this enjoyable course, based on Wellcome's innovative Explorify approach to teaching and learning in science and set in the context of school gardens. The focus of learning is that of the journey, rather than on finding the right answer. It's about discovery and asking 'Why?' 'What if?' and 'What does this mean?' to get pupils discussing and debating the world around them.
The course will enable you to gain experience working with fascinating digital images and videos from the Wellcome collections and to explore with the RHS the outdoor spaces that offer endless opportunities to make and build your own. You will understand how to use images and 'found' materials in the garden to stimulate learning and discussion, and discover some fascinating plants and how to grow them.
At the end of the course you will understand how to work scientifically with your pupils, whilst covering key content from the Primary Science programmes of study.
Using ideas from Explorify in the Garden will enable you to encourage future generations to be proactive participators and not just passive observers!
For more information about the Explorify programme, visit The Wellcome Trust.
- Work with Explorify resources developed by the Wellcome Trust, share ideas and enthusiasm with other teachers and start to see your school grounds as a fantastic canvas of resources with endless opportunities to build your own collections.
- Improve your growing techniques and horticultural understanding.
- Realise how 'growing topics' can spark curiosity and inspire children to question the world around them.
- Identify garden plants and discover exciting new ones that help teach Primary Science in an exciting way whilst having a positive impact on learning.


Parish Registration
Registering at St. John's is easy. Just download the registration form below and fill it out. You can drop the completed form off at the parish office Tues.-Fri. between 8am and 4pm or email it to
Membership in a parish and registering at a parish are not the same thing, although they are often spoken of interchangeably. A "parish" consists of a geographical area with clearly defined boundaries, which has its own church or chapel belonging to it and its own pastor administering it. Any Catholic who lives within the physical boundaries of a parish is automatically considered a "member" of that parish for purposes of administering the sacraments. He/she cannot be refused the sacraments by the pastor of the parish in which he/she resides unless the pastor has a valid canonical reason to do so. For example, when a Catholic marries, the pastor of the parish within whose boundaries he/she resides has a responsibility to witness the marriage, unless there is a valid canonical reason for him to refuse (e.g., the person is already validly married to another spouse).
Being registered at a parish is different. One becomes registered at a parish when one fills out a census form, regularly contributes to the parish's finances, or otherwise "signs up" at the parish. Registering is primarily useful for administrative purposes. Keeping a parish registry allows pastors and administrative staff to keep track of who is worshipping at the parish and contributing to the parish's financial needs. However, a pastor is not required to provide "one-time" sacraments, such as marriage or baptism, to a registered person who is not a geographical member of the parish.
Registering at a parish has a lot of great benefits, including having one's contact information on record at the parish and being able to receive important communications, having an established sacramental record, and receiving offertory envelopes, which make it easier to keep track of contributions.
Here are some interesting articles on the historical development of parishes and on the difference between parish membership and registration.


text:
Does the culture in the Appalachian Mountains lead to higher rates of suicide?
According to Dr. Lisa Curtin from Appalachian State University's Department of Psychology, the answer is "yes," as she shared the results of a study on suicide and depression in the high county with the Ashe Suicide/Depression Prevention Awareness (ASAP) task force on Tuesday, Jan. 8.
"Overall, each participant showed the symptoms that are normally associated with depression," said Curtain. However, Curtin also said some unique aspects of the area like social isolation contribute to higher rates of suicide.
She also prefaced her presentation by acknowledging rural areas with low-income families tend to have an above average suicide rate.
To conduct the study, the participants each had a non-formal interview called an "illness narrative." The average interview ranged from one to three hours in length. Curtain said her group just finished transcribing all of the material, and the study was completed by finding common themes mentioned by each participant.
One of the common themes was the feeling of social isolation and social withdrawal. According to Curtin, these feelings were tied to relationships.
Many of the participants in the study said they no longer enjoyed being with other people. More common among the participants was the feeling they were not loved by others.
For many of these participants, these feelings can become overwhelming and when they bubble to the surface, those participants embark on self-harming behaviors (cutting) and have suicidal thoughts.
Also, Curtin said members of the "mountain culture" have a greater collective sense of self than most Americans. This means members of the Appalachian culture build their self-perceptions based on how their peers view them.
"This culture dates back to the importance of kin for survival, an idea that's been passed on through the generations," said Curtin.
The conflict between social isolation and a sense of collective self plays a key factor in depression and suicide in the area, said Curtin.
Another major theme among the participants was their religious beliefs.
While many participants found a sense of meaning and comfort in the belief of a higher power, religion also became a "unique stresser" for others.
"For some people it was a source of helpful support and for others it was a source of conflict," said Curtin.
According to Curtin, the main theme associated with religion was the feeling "if I was right with God, I wouldn't feel this way." Also, the concept that thinking about suicide is a potential sin was a conflict with the sample group.
Many of the participant left their church's altogether, which caused more social isolation. Others felt inclined to stay in church only because of their families and peer group, creating another form of stress.
Many of the participants in the sample had experienced some form of trauma in their lives. Common trends included domestic violence, child abuse, and the feeling of loss.
According to Curtin, a key find in the study was how participants made sense of their problems. Many didn't view the source of their depression in terms of chemical interactions in the brain, but instead, saw depression as a part of who they are, almost like depressive symptoms are genetic. This mindset is known as Appalachian fatalism.
The participants' upbringing only feeds into that mindset. Many in the sample said they were raised to "pull themselves up by their boot straps" and they shouldn't need external help for their depression.
"All of these findings match up with the literature," said Curtin.
Many participants, even the younger members, have struggled with depression for a long time. One participant said she remembers feeling depressive symptoms as early as 12 years old, she said.
In spite of this, there are problems with the availability of mental health services in Ashe County, along with the rest of the Appalachian Mountains, said Curtin.
There is also a stigma against seeking professional help for depression and suicidal thoughts. This stigma, in part, caused a high turnover rate with participants and their service providers.
Many in the sample feared the negative consequences if a person in their social group, mostly in the workplace, discovered they were depressed.
Those in the sample who decided seek help reported positive results. Some found good results by taking antidepressants, while others felt more comfortable with alternatives like therapy, acupuncture, and practicing tai chi, said Curtin.
The study was based on a 23 person sample (9 males, 14 females) who were, on average, moderately depressed. The average age of the participants was 41 years old; the youngest participant was in his/her early 20's while the oldest participant was over 70.
Each participant was either diagnosed with depression or taking antidepressant medication. The 23 participants were gathered after 450 fliers were distributed across the regions health facilities.
"The fact that we only got 23 participants after distributing 450 fliers speaks to the stigma of suicide and depression in the area," said Curtin.
Curtin said these results were based on a relatively small sample, and the study may contain elements of selection bias. The participants who joined the study may feel less stigma about their depression than others who chose not to participate.


School Lunches Around the World Gallery
Take a peek at what school lunches look like in other countries.
School lunch cafeteria food
School Lunches Around the World - USA
When President Harry Truman signed the National School Lunch Act into law in 1946, he probably didn't imagine that American schools would one day be serving chicken fingers, frozen French fries and soggy pizza.
While nutrition activists are trying to get healthier foods into our schools, we wondered what school lunch looks like in other countries—places where ketchup has never been considered a vegetable.


text:
The UE shall interpret the resource allocation field depending on the PDCCH DCI format detected. A resource allocation field in each PDCCH includes two parts, a resource allocation header field and information consisting of the actual resource block assignment. PDCCH DCI formats 1, 2, 2A and 2B with type 0 and PDCCH DCI formats 1, 2, 2A and 2B with type 1 resource allocation have the same format and are distinguished from each other via the single bit resource allocation header field which exists depending on the downlink system bandwidth where type 0 is indicated by 0 value and type 1 is indicated otherwise. PDCCH with DCI format 1A, 1B, 1C and 1D have a type 2 resource allocation while PDCCH with DCI format 1, 2, 2A and 2B have type 0 or type 1 resource allocation. PDCCH DCI formats with a type 2 resource allocation do not have a resource allocation header field. A UE shall discard PDSCH resource allocation in the corresponding PDCCH if consistent control information is not detected.
Type 0 Resource Allocation(RAT0)
In RAT0 allocation happens in terms of RBG( Resource block group ).
1 RBG = n consecutive RB's in frequency domain
where n depends on system bandwidth or the total number of RB's in the system for one subframe.
So total number of RBG's in the system will be :-
Number of RBG = Total number of RB's / n
If Total number of RB's % n > 0, then
Number of RBG = Number of RBG +1 with last RBG containing the remaining RB's
We are working on 10 Mhz, so total number of RB's will be 50.
From above table value of n will be 3 for 50 RB's in system. So total number of RBG's will be
Number of RBG = 50 / 3 = 16
As 50 % 3 > 0
So Total number of RBG = 16 +1 =17
And the last RBG will contain only 2 RB's
Type1 Resource Allocation( RAT1 )
In PDCCH Resource Allocation Header field represents the resource allocation type used. For RAT1 header field value will be 1.
Type1 Allocation also uses the bitmap fundamental. But as we know the limitations of Type0 that allocation happens in terms of RBG's which can lead to the wastage of RB's as explained above. So to provide more granularity in the resource allocation Type1 came into picture.
In Type1 one extra field is added which is subset to provide the granularity and frequency diversity in the system. Allocation happens in terms of RB's belonging to the same subset.
Each Subset p will contain every nth RBG starting from RBG p.
n = Number of RB's in a RBG from the above table.
Suppose system bandwidth is 20 Mhz.
Total number of RB's =100
n = 4
Number of subsets = 4 (From table)
As total number of subsets are 4,
p = 0 to 3


Definder - what does the word mean?
What is the bulk?
A large package. Doesn't mean great in bed.
Girl1:Dude, that guys has huge bulk
Girl2:Was he any good?
Girl1: Not really.
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the bulk - video
The bulk - what is it?
Something that is magnificent and gets the Bois aroused. Is also eligible on the Bulk scale
"Mate, that maths lesson was so bulk, I couldn't believe how bulk it was"
👍39 👎15
What does "the bulk" mean?
Used in place of "really" or "very".
Man, I'm bulk tired.
👍157 👎95
The bulk - what does it mean?
What you obtain in the gym.
- "Ole boy's really gettin' that bulk."
- "I need to square away that bulk today."
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The bulk - meaning
Noun - Another word for male genitalia, typically utilized in literary erotica.
Then came the moment when he pressed his bulk, warm and throbbing, against my upper thigh.
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The bulk - definition
A word used to describe the large amounts of something
Lets go to the club for bulk chicks and drinks
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The bulk - slang
A fat person's excuse for overeating.
Friend 1: Dude you ate a large big mac meal, a chocolate block and krispy kreme doughnuts
Friend 2: I'm bulking
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The bulk
Bulking is a process commonly used by an individual wishing to gain weight. Commonly used in bodybuilding (Off-Season) but will also be used by fitness enthusiast. Bulking attempts to build MUSCLE MASS
Simply it is an attempt to eat a healthy diet to gain weight, whilst minimising fat gains. The basic principle of bulking to to consume more calories than you expend. Typically a bulking diet will consist of around 6-8 meals per day, spread out every 2-3 hours. A cleverly structured diet will show the breakdown of carbs,protein and fats. Typical bulking calories usually range from aroun 3000 to 6000 and should be tailored to the needs of the individual and specific goals.
Many bodybuilders/individuals will bulk over the winter season and then cut (cutting diet) in the summer. Cutting to cut down on the fat gain by a bulking diet. In general (except n00b gains) it is exceptionally hard to gain weight and loose bodyfat at the same time (excluding the use of steroids+genetics) therefore you cannot bulk and cut at the same time! You can use variety such as cylical bulking e.g. Bulk for 4 weeks/Cut for 2 weeks repeat process..this is an attempt to minimise fat gains.
Foods/supplements commonly used in a bulking diet include: Protein powder,eggs,steak,wholegrain pasta,tuna,nuts
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The bulk
eating more and training heavier in order to gain muscle; an excuse for overeating
1. He started bulking for the bodybuilding contest.
2. Joe: Dude, you've already eaten ribs, a Big Mac, a McChicken, Doritos, Cheetos and Krispy Kreme Doughnuts, and drank 3 Coca-Colas, a Mountain Dew, and 2 cups of Gatorade, and you're still eating?
Jack: I'm bulking.
3. KSI: I'm not fat, I'm bulking!
👍51 👎11
The bulk
Someone's excuse to not be called fat. The opposite of hulking. For example KSIOlajidebtHD
Fan: can I get a picture ksi
Ksi: sure (gets in position for pic)
Fan: your taking up the whole shot fat boy
Ksi: it's not fat it's bulk. I'm bulking
"I'm NoT fAt I'm BuLkInG!"
Pls upvote
👍565 👎35


text:
Elementary Matrices Generate the General Linear Group
Okay, so we can use elementary row operations to put any matrix into its (unique) reduced row echelon form. As we stated last time, this consists of building up a basis for the image of the transformation the matrix describes by walking through a basis for the domain space and either adding a new, independent basis vector or writing the image of a domain basis vector in terms of the existing image basis vectors.
So let's say we've got a transformation in. Given a basis, we get an invertible matrix (which we'll also call ). Then we can use elementary row operations to put this matrix into its reduced row echelon form. But now every basis vector gets sent to a vector that's linearly independent of all the others, or else the transformation wouldn't be invertible! That is, the reduced row echelon form of the matrix must be the identity matrix.
But remember that every one of our elementary row operations is the result of multiplying on the left by an elementary matrix. So we can take the matrices corresponding to the list of all the elementary row operations and write
which tells us that applying all these elementary row operations one after another leads us to the identity matrix. But this means that the product of all the elementary matrices on the right is. And since we can also apply this to the transformation, we can find a list of elementary matrices whose product is. That is, any invertible linear transformation can be written as the product of a finite list of elementary matrices, and thus the elementary matrices generate the general linear group.


text:
Definition of zorils
plural of zoril 1
The word "zorils" uses 6 letters: I L O R S Z.
No direct anagrams for zorils found in this word list.
Adding one letter to zorils does not form any other word in this word list.
Shorter words found within zorils:
is li lis lo loris oil oils or ors os roil roils si silo sir so soil sol soli sori sri zori zoril zoris
List shorter words within zorils, sorted by length
Words formed from any letters in zorils, plus an optional blank or existing letter
List all words starting with zorils, words containing zorils or words ending with zorils
All words formed from zorils by changing one letter
Other words with the same letter pairs: zo or ri il ls
Browse words starting with zorils by next letter
Previous word in list: zorillos
Next word in list: zoris
Some random words: el


text:
Re: Poll: How important is the notion of "gaining advantage over your partner" in your aikido training?
If I understand Mark Uttech, I agree. To my thinking, you cannot be correctly practicing aikido without "gaining advantage" over your partner. So, I suppose it's really about how one interprets "Gaining advantage".
To me, it means being in control of oneself, and the situation, perhaps through physically controlling the attacker, or perhaps through mentally being confident in the situation. If we're talking exclusively about practice in classs, it's usually both. For me.


Who Invented What When 1st edition
Who Invented What When 0 9781741104882 _PHONE_
Details about this item
Who Invented What When: Who Invented What When recounts the 500-year saga of innovation that has shaped the world we live in, from the first pocket watch to the latest nanotechnology. Arranged chronologically, each new invention is placed in its historical context and provides insight into the inventor?s life and motivation as well as the difference their invention has made.
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text:
Came across the word "heulandite", thought it was weird so I looked it up in the dictionary and found that it means: "a group of minerals of the zeolite family consisting of a hydrous aluminum silicate of sodium and calcium." I looked up "-ite" on etymonline.com so I suspect the suffix comes from Greek meaning: "connected with or belonging to." Where does the "heuland" part come from? Is it related to "andesite" or maybe something else?
closed as general reference by TimLymington, Jon Hanna, tchrist, Kris, FumbleFingers Feb 23 at 13:50
This question is too basic; it can be definitively and permanently answered by a single link to a standard internet reference source designed specifically to find that type of information. See the FAQ for guidance on how to improve it.
OED gives it as named after a mineralogist (presumably the chap who first identified it):
In that regard, the name is related to Andesite in as much as it's named after a particular property of the mineral: in this case, who identified it; in the case of Andesite, where it is found.


text:
Polygon Boundaries Side by Side
Hello. I'm trying to show two polygons with two different color outlines, however, where the two polygon boundaries intersect, one of the outlines will overlap the other. I want to be able to show the two boundaries next to each other rather than having one overlap the other. Please see attached file for an example of what I am looking for.
Mapping Center Answer:
There is no automated way to do what you're asking for. However, by converting your symbology to cartographic representations, you can manually adjust the symbol geometry for the polygons that share an edge to produce the outcome you want.
Once you convert the symbols to representations, and start editing, you will use the Direct Select tool on the representation toolbar to select the shared portion of the geometry of one polygon, and then use the Move Parallel tool to move that edge.
Here is the help topic about selecting a portion of a representation's geometry.
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There must be a mathematical description of the difference that an extension tube makes to a lens -- is it something that can be easily described?
(For example, with teleconverters you can say things like "a 2x teleconverter will turn a Y-mm lens into a 2Y-mm lens, and will lose you 2 stops." Is there something similar for extension tubes?)
If there's nothing much you can say about magnification, in general, what about the change in closest focal distance? Is that also lens-dependent?
What about if we factor out the lens: is there any general way to compare the effects of (say) a 12mm and a 24mm extension tube on the same lens?
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3 Answers
up vote 10 down vote accepted
I do believe there are some formulas you can use. To Matt Grum's point, I have not tested these with zoom lenses, and to my current knowledge, they apply only to prime (fixed focal length) lenses. You did not specifically specify zoom lenses, so...
The simplest way to calculate the magnification of a lens is via the following formula:
 Magnification = TotalExtension / FocalLength
 M = TE / F
To calculate the magnification with an extension tube, you need to know the total extension...that is, the extension provided by the lens itself, as well as that provided by the extension tube. Most lens statistics these days include the intrinsic magnification. If we take Canon's 50mm f/1.8 lens, the intrinsic magnification is 0.15x. We can solve for the lenses built in extension like so:
 0.15 = TE / 50
 TE = 50 * 0.15
 TE = 7.5mm
The magnification with additional extension can now be computed as follows:
 Magnification = (IntrinsicExtension + TubeExtension) / FocalLength
 M = IE + TE / F
If we assume 25mm of additional extension via an extension tube:
 M = 7.5mm + 25mm / 50mm
 M = 32.5mm / 50mm
 M = 0.65x
A fairly simple formula that allows us to calculate magnification fairly easily, assuming you know the intrinsic magnification of the lens (or its intrinsic extension.) If we assume the wonderful 50mm lens is the lens you are extending, to create a 1:1 macro magnification, you would need 50mm worth of extension. The problem here is that if you add too much extension, the plane of the world that is in focus (the virtual image) might just end up inside the lens itself. Additionally, this assumes a "simple" lens, one with very well-defined and well-known characteristics (i.e. a simple single-element lens.)
In a real-world scenario, having a clear understanding of any particular lenses characteristics is unlikely. With lenses that focus internally, or zoom lenses, the simple formula above is insufficient to allow you to calculate exactly what your minimum focusing distance and magnification can be for any given lens, focal length, and extension. There are too many variables, most of which are likely to be unknown, to calculate a meaningful value.
Here are some resources that I have found that provide some useful information that might help in your endeavor:
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Your lack of parenthesis threw me for a momentarily loop. Should be Magnification = (IntrinsicExtension + TubeExtension) / FocalLength? – rfusca Dec 11 '10 at 1:55
_USER_: You are correct, I forgot to stick in parens. Its totalExtension / focalLength, so intrinsic and tube extension lengths have to be added together. – jrista Dec 11 '10 at 4:25
Oddly enough, the 50mm f/1.8 is the lens (well, OK, one of the lenses) I'm extending -- and those links look really useful, too. Thanks! – Matt Bishop Dec 11 '10 at 12:29
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I think it can be described, in fact Wikipedia has the relevant formula:
1/S1 + 1/S2 = 1/f
Where S1 is the distance from the subject to the front nodal point, S2 is the distance of the rear nodal point to the sensor, and f is the focal length. Since extension tubes increase S2, it then allows you make S1 smaller, thus you can focus much closer to the subject.
share|improve this answer
That formula assumes you know the front and rear modal points which in general aren't manufacturer specified, so you'll have to measure them for each lens. Plus the formula isn't valid for lenses which change focal length when focussing, so I don't think it's quite what the questioner as after. – Matt Grum Dec 10 '10 at 15:11
With a simple (i.e. single-element) lens, the focal length never ever changes (unless you change the shape of the lens -- or unless you're being very specific and talking about different colors of light, or the like), and this is absolutely correct (in fact, moving the position of the lens is all you're doing to change the focus anyway, so an extension tube just lets you move it further). For complex (multi-element) lenses, I don't understand the optics principles well enough to be sure if the same holds true. But the film plane is always the "target" of the focus, right? So... I'd think so. – lindes Dec 10 '10 at 17:51
Some of my sources for learning (which I'll hopefully later pull together in an answer of my own -- no time for that now, though): -- and in particular, these two: and – lindes Dec 10 '10 at 18:14
_USER_ Grum - I think the equation illustrates the principle behind it which seems to be the crux of the question. At least it did to me. :) – John Cavan Dec 10 '10 at 18:28
_USER_ Cavan - the formula illustrates well why extension tubes decrease the minimum focussing distance, but I think the questioner was looking for a formula that he can use to judge what length extension tube you need to buy for a given lens in order to increase magnification x times, which unfortunately is not possible in the general case... – Matt Grum Dec 10 '10 at 18:39
show 3 more comments
edit to respond to follow up questions given you know the effects of a tube of a certain length on a certain lens you can work out the missing values from John's equations you should be able to get an estimate of the effect of a different length tube. Again the values will be subject to the foibles of the lens focussing method, but should give you a good enough idea.
In general no. There is a formula, of course, but you need to know the internal configuration of the lens and usually some elements of the lens design.
Extension tubes usually change the effective focal length slightly (the actual focal length of the lens is a property of the bending power of the glass so doesn't change when you move it) but how much depends on the lens design. A lot of it is to do with the angle at which the light rays leave the back of the lens. If you take an object space telecentric lens (a special type of lens where the rays exit parallel to each other) then the distance to the film plane doesn't matter since the rays are parallel they wont converge or diverge any more.
If you look at the back of a wide angle lens the rear element is very close to the rear of the lens. Now look at a telephoto lens, there will be a gap between the last piece of glass and the mount, as if the lens already has an extension tube. An extension tube will behave quite differently on these two different lenses. The method of focus (internal vs. external) also affects the results of adding extension tubes.
So in short I'm afraid there is no formula that's as simple as the one for telecoverters.
share|improve this answer
Is it truly accurate to say that the focal length changes? My understanding of optics in any detail is in its infancy, but my understanding thus far is that by moving the lens (which is all an extension tube really does), the focal length won't change (though perhaps the magnification might? Or what we've collectively started calling the "effective focal length"), but rather, the distance changes for the focal plane, which causes the in-focus plane to change... I'll try to find some resources and post them in an answer. I -think-, though, that this answer is factually questionable. I think. – lindes Dec 10 '10 at 16:44
Whether or not the focal length changes and to what degree depends on the lens, as I stated. For the simplest case of a pinhole lens it's easy to see that the focal length changes if you move the pinhole further from the camera, since the focal length is defined as the distance from the pinhole to the imaging plane! – Matt Grum Dec 10 '10 at 17:21
Ahh,


text:
Read Kansas! Middle School - M-19 Depletion of the Buffalo
This middle school lesson uses the buffalo as the object of conflict among the Plains Indians and buffalo hunters on the western frontier. The lesson encourages students to compare and contrast different cultural views. Students work with an 1872 diary to understand the point of view of a buffalo hunter. The lesson is written for two class sessions but can be adjusted to meet individual classroom needs.
To view a PDF of the front and back, click on the card
Kansas History Standards:
- Benchmark 3, Indicator 1: The student describes the reasons for tension between the American Indians and the United States government over land in Kansas (e.g., encroachment on Indian lands, depletion of the buffalo and other natural resources, the Sand Creek massacre, broken promises).
- Benchmark 4, Indicator 9: The student uses paraphrasing and organizational skills to summarize information (e.g., stated and implied main ideas, main events, important details) from appropriate-level narrative, expository, technical, and persuasive texts in logical order.
Common Core Reading Standards:
- RH. 6-8.2 The student will determine the central ideas or information of a primary or secondary source; provide an accurate summary of the source distinct from prior knowledge or opinions.


The Stripe Gateway API allows marketplace payments to be processed and distributed automatically using Stripe. Marketplace payment processing using Stripe is the quickest and easiest method of implementing payments for your marketplace.
OpenChannel's Stripe integration manages user credit cards and payment processing, automatically deposits the the commission into your Stripe account and deposits the remaining balance into the developer's Stripe account.
In order to user Stripe payment processing:
 1. You are required to setup and configure a Stripe account for your marketplace
 2. Developers are required to setup and configure a Stripe account
 3. Both yourself and Developers must be from a country that is supported by Stripe (see supported countries)
Payments must be enabled and 'Stripe' must be selected as the gateway in order to use these API endpoints. See Setting Up Payments With Stripe. Once the marketplace's Stripe account is setup and integrated with the marketplace, The Stripe Gateway API can be used to allow developers to connect their Stripe accounts and users to manage their payment details. See Stripe Gateway for more details.
You must have administrator privileges for your marketplace in order to see Settings in the left navigation menu.
Connecting Developer Stripe Accounts
Allowing a developer to connect their Stripe account is as easy as redirecting the developer to a specific URL. Retrieve the URL by calling the Connect Developer Account API method with the developerId and the URL of where you would like the developer to redirected to once they've completed the connection flow.
As part of the API response, a URL will be provided. Example:
 "developerId": "123",
 "expires": 1432695338702,
 "targetUrl": ""
Redirect the developer to this URL in order to begin Stripe's account connection flow. The developer's connected Stripe accounts can be retrieved using the Get Developer Accounts API method. A developer's Stripe accounts can be disconnected using the Disconnect Developer Account API method.
Managing User Credit Card Details
Users can add, update, view and remove their credit card details. By setting up a credit card, users are able to purchase apps without the need to repeatedly enter their credit card details.
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Although additional API methods are provided to allow for multiple credit cards to be added, updated and removed, the simplest and most preferred implementation strategy is to only allow the user to set a single credit card.
Simple implementation:
 1. Create a form to allow the user to enter their credit card details (name, card number, expiry date, CVC).
 2. Call stripe.createToken from the Stripe.js library to retrieve a token.
 3. Call the Add Credit Card API method with isDefault set to true.
 4. Inspect the Cards returned by the above API call and delete any card that is not the default using the Delete Credit Card API method.


text:
yet2 is supporting NASA in their search for strain sensor technologies and tech providers that can measure large strains and associated load data of parachute canopies during the period of deployment (while the parachute is actively being used during a jump/landing). NASA is seeking a variety of strain sensing and measurement technologies that (1) could be applied to soft/flexible fabric substrates, (2) can measure elongation of 10-40% (ideally more), and (3) do not interfere with the function and performance of the parachute. Only solutions that are commercially available or that could be supplied in the next several months are in-scope for this search.
Strain sensors must have the following characteristics:
- Capable of measuring strains up to 10% – 40% elongation
- Compatible with lightweight flexible / soft / woven / fabric substrates
- A small form factor (< 6×6 inches; smaller is preferred)
Additional Considerations and Future Capabilities include:
- Capable of measuring strain rates from 20%/s to greater than 100%/s.
- Does not induce stiffness or stress in the test substrate
- Accounts for temperature (and remains operational) in range between -90°F to 120°F
- Survive / operate in vacuum (but do not necessarily need to be flight/space rated)
- Minimal hysteresis and drift
- Sample rates up to 1 kHz
- Commercial "Off-the-Shelf" sensors preferred
- Sensors may be single-use or reusable
Know of a Relevant Technology and Company?
If you would like to submit an innovative technology and associated company to be considered by our client, NASA, for partnership, please contact Alex Roberts (_EMAIL_).
Related Tech Needs


text:
The Xilinx® Versal® Prime series devices are available in -3 (highest performance), -2, -1 speed grades. The -3 devices can operate at a VCCINT voltage of 0.88V (H), the -2 devices can operate at a VCCINT voltage of 0.88V (H), 0.80V (M), or 0.70V (L), and the -1 devices can operate at a VCCINT voltage of 0.80V (M) or 0.70V (L). Primary supply operating voltages typically scale with VCCINT, except for supported overdrive of the VCC_PMC, VCC_PSFP, VCC_PSLP, and VCC_CPM5 at 0.88V (H) when VCCINT and other primary supplies operate at 0.70V (L). Similar to speed grades, a higher operating voltage typically has higher performance specifications. All devices are screened for standard (S) or low (L) maximum static power. See Versal Architecture and Product Data Sheet: Overview (DS950) for available device ordering options.
DC and AC characteristics are specified in extended (E) and industrial (I) temperature ranges. Except the operating temperature range or unless otherwise noted, all the DC and AC electrical parameters are the same for a particular speed grade and operating voltage (that is, the timing characteristics of a -1 speed grade extended (E) temperature range device operating at a VCCINT voltage of 0.80V (M) are the same as for a -1 speed grade industrial (I) temperature range device operating at a VCCINT voltage of 0.80V (M)). However, only selected speed grades, operating voltages, maximum static power screens, and/or devices are available in each temperature range.
All supply voltage and junction temperature specifications are representative of worst-case conditions. The parameters included are common to popular designs and typical applications.
This data sheet, part of an overall set of documentation on the Versal ACAPs, is available on the Xilinx website at _URL_


text:
It is important to make sure that your chair covers make a lasting impression, whether you are using them for a special event or for everyday use.
There are 25 things you can do to ensure that your covers look their best.
1. Choose the right fabric:
The most important thing you can do to ensure that your chair covers make a lasting impression is to choose the right fabric.
2. Consider the color:
Another important factor to consider when choosing chair covers is the color.
3. Select the right size:
It is also important to select the right size cover for your chairs.
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Some chair covers come with special features, such as ties or loops, that can help keep them in place.
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There are many different styles of chair covers available, so it is important to choose one that will suit your needs.
6. Consider the occasion:
If you are using chair covers for a special occasion, such as a wedding, you will want to make sure that they are appropriate for the event.
7. Don't forget the details:
It is also important to pay attention to the details, such as the stitching and seams when choosing chair covers.
8. Consider the care instructions:
Be sure to check the care instructions before purchasing chair covers, so you know how to properly care for them.
9. Inspect the covers before use:
Once you have received your chair covers, it is important to inspect them before using them.
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When putting on chair covers, be sure to follow the instructions carefully so that they will fit correctly.
11. Take them off carefully:
When taking off chair covers, be sure to do so carefully so that they will not be damaged.
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When not in use, chair covers should be stored in a cool, dry place.
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Eventually, chair covers will need to be replaced. Keep an eye on them and replace them when necessary.
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When using chair covers, be sure to use them wisely so that they will last longer.
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Do not use chair covers more than necessary, as this can cause them to wear out prematurely.
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Be sure to keep chair covers out of direct sunlight, as this can cause fading and damage.
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Extreme temperatures can also damage chair covers, so be sure to keep them away from heaters and other sources of heat.
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Open flames can damage chair covers, so be sure to keep them away from fireplaces and candles.
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When cleaning chair covers, be sure to use a mild detergent that will not damage the fabric.
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Chair covers are a great way to protect your chairs and keep them looking their best. However, it is important to choose the right fabric, color, and size for your needs, and to pay attention to the details when choosing and using them. Be sure to follow the care instructions carefully to prolong the life of your chair covers.
As you can see, there are a few things to keep in mind when choosing and using chair covers. By following these tips, you can help ensure that your covers last longer and look their best.


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gx) = ρ(g)[x]
where 1G is the trivial representation of G. This defines a G×G morphism of representations.
Now we use the above lemma and obtain the G×G morphism of representations
f':\bar{V}\otimes V\rightarrow \overline{\mathbf{C}[G]}.
The dual representation of C[G] as a G×G-representation is equivalent to C[G]. An isomorphism is given if we define the contraction 〈g,h〉 = δgh. So, we end up with a G×G-morphism of representations
f'':\bar{V}\otimes V\rightarrow \mathbf{C}[G].
f''(x\otimes y)=\sum_{g\in G}\langle x,\rho(g)[y]\rangle g
for all x in \bar{V} and y in V.
By Schur's lemma, the image of f″ is a G×G irreducible representation, which is therefore n×n dimensional, which also happens to be a subrepresentation of C[G] (f″ is nonzero).
This is n direct sum equivalent copies V. Note that if ρ1 and ρ2 are equivalent G-irreducible representations, the respective images of the intertwining matrices would give rise to the same G×G-irreducible representation of C[G].
Here, we use the fact that if f is a function over G, then
\sum_{g\in G}f(g)hgk^{-1}=\sum_{g\in G}f(h^{-1}gk)g
We convert C[G] into a Hilbert space by introducing the norm where 〈g,h〉 is 1 if g is h and zero otherwise. This is different from the 'contraction' given a couple of paragraphs back, in that this form is sesquilinear. This makes C[G] a unitary representation of G×G. In particular, we now have the concepts of orthogonal complement and orthogonality of subrepresentations.
In particular, if C[G] contains two inequivalent irreducible G×G subrepresentations, then both subrepresentations are orthogonal to each other. To see this, note that for every subspace of a Hilbert space, there exists a unique linear transformation from the Hilbert space to itself which maps points on the subspace to itself while mapping points on its orthogonal complement to zero. This is called the projection map. The projection map associated with the first irreducible representation is an intertwiner. Restricted to the second irreducible representation, it gives an intertwiner from the second irreducible representation to the first. Using Schur's lemma, this must be zero.
Now suppose AB is a G×G-irreducible representation of C[G].
Note. The complex irreducible representations of G×H are always a direct product of a complex irreducible representation of G and a complex irreducible representation of H. This is not the case for real irreducible representations. As an example, there is a 2-dimensional real irreducible representation of the group C3 × C3 which transforms nontrivially under both copies of C3 but cannot be expressed as the direct product of two irreducible representations of C3.
This representation is also a G-representation (nA direct sum copies of B where nA is the dimension of A). If Y is an element of this representation (and hence also of C[G]) and X an element of its dual representation (which is a subrepresentation of the dual representation of C[G]), then
f''(X\otimes Y)=\sum_{g\in G}\langle X,\rho(g)[Y]\rangle g=\sum_{g\in G} \langle X,Yg^{-1}\rangle g
=\sum_{g\in G}\langle X,g^{-1}\rangle gY=\sum_{g\in G}\langle X,g^{-1}\rangle (g,e)[Y]
where e is the identity of G. Though the f″ defined a couple of paragraphs back is only defined for G-irreducible representations, and though AB is not a G-irreducible representation in general, we claim this argument could be made correct since AB is simply the direct sum of copies of Bs, and we have shown that each copy all maps to the same G×G-irreducible subrepresentation of C[G], we have just showed that \bar{B}\otimes B as an irreducible G×G-subrepresentation of C[G] is contained in AB as another irreducible G×G-subrepresentation of C[G]. Using Schur's lemma again, this means both irreducible representations are the same.
Putting all of this together,
Theorem. C[G] ≅ \sum_V \bar{V}\otimes_G V where the sum is taken over the inequivalent G-irreducible representations V.
Corollary. If there are p inequivalent G-irreducible representations, Vi, each of dimension ni, then |G| = n12 +... + np2.
Character theory[edit]
Main article: Character theory
There is a mapping from G to the complex numbers for each representation called the character given by the trace of the linear transformation upon the representation generated by the element of G in question
\chi_{\rho}(g) = \mathrm{Tr}(\rho(g))\,
All elements of G belonging to the same conjugacy class have the same character: in other words χρ is a class function on G. This follows from
\mathrm{Tr} (\rho (ghg^{-1}))=\mathrm{Tr} (\rho(g)\rho(h)\rho(g)^{-1})=\mathrm{Tr}(\rho(h))
by the cyclic property of the trace of a matrix.
What are the characters of C[G]? Using the property that gh−1 is only the same as g if h = e, χC[G](g) is |G| if g=e and 0 otherwise.
The character of a direct sum of representations is simply the sum of their individual characters.
Putting all of this together,
\sum_{i=1}^p n_i \chi_{V_i}(g)=|G|\delta_{ge}
with the Kronecker delta on the right hand side.
Repeat this, working with characters of G×G instead of characters, of G which I'll call Δ. Then, ΔC[G](g,h) is the number of elements k in G satisfying g k h−1 = k. This is equal to
\sum_{i=1}^p \chi_{\bar{V}_i}(g)\chi_{V_i}(h)=\sum_{i=1}^p \chi_{V_i}(g^{-1})\chi_{V_i}(h)=\sum_{i=1}^p \chi_{V_i}(g)^*\chi_{V_i}(h)
where * denotes complex conjugation. After all, C[G] is a unitary representation and any subrepresentation of a finite unitary representation is another unitary representation; and all irreducible representations are (equivalent to) a subrepresentation of C[G].
\sum_{h \in G}\Delta_{C[G]}((g,hkh^{-1})).
This is |G| times the number of elements which commute with g; which is |G|2 divided by the size of the conjugacy class of g, if g and k belong to the same conjugacy class, but zero otherwise. Therefore, for each conjugacy class Ci of size mi, the characters are the same for each element of the conjugacy class and so we can just call χρ(Ci) by an abuse of notation). Then,
Note that
\sum_{g\in G}\rho(g)
is a self-intertwiner (or invariant). This linear transformation, when applied to C[G] (as a representation of the second copy of G×G), would give as its image the 1-dimensional subrepresentation generated by
\sum_{g\in G}g;
which is obviously the trivial representation.
Since we know C[G] contains all irreducible representations up to equivalence and using Schur's lemma, we conclude that
for irreducible representations is zero if it's not the trivial irreducible representation; and it's of course |G|1 if the irreducible representation is trivial.
Given two irreducible representations Vi and Vj, we can construct a G-representation
\bar{V}_i\otimes V_j,
this time not as a G×G representation but an ordinary G-representation. See direct product of representations. Then,
\chi_{\bar{V}_i\otimes V_j}(g)=\chi_{\bar{V}_i}(g)\chi_{V_j}(g)=\chi_{V_i}(g)^*\chi_{V_k}(g).
It can be shown that any irreducible representation can be turned into a unitary irreducible representation. So, the direct product of two irreducible representations can also be turned into a unitary representations and now, we have the neat orthogonality property allowing us to decompose the direct product into a direct sum of irreducible representations (we're also using the property that for finite-dimensional representations, if you keep taking proper subrepresentations, you'll hit an irreducible representation eventually. There's no infinite strictly decreasing sequence of positive integers). See Maschke's theorem.
If ij, then this decomposition does not contain the trivial representation (Otherwise, we'd have a nonzero intert


text:
|This article does not cite any references or sources. (December 2009)|
The barca-longa was a two or three-masted lugger found on the coasts of Spain and Portugal as well as more widely in the Mediterranean Sea. They were used in Spain and Portugal for fishing but were employed by the Royal Navy in Mediterranean waters, for shore raids or as dispatch boats. In general, they were not in Royal Navy ownership. The Oxford English Dictionary's earliest reference is from 1681. Others are 18th-century.
|This article about a type of ship or boat is a stub. You can help Wikipedia by expanding it.|