text:
How Did William Blake Die? Date of Death, Cause of Death, Age, and Birthday
The philosopher William Blake passed away at age 69, respectable.
Romantic-period English philosopher, poet, and illustrator. He influenced the visual arts of the Romantic Age.
He belonged to a family of Dissenters, who were believed to have attended a Moravian Church. The Bible influenced much of his early life.
He was not widely known during his lifetime, but after his death, he became regarded as one of the greatest thinkers of the age.
How did William Blake die?
Pulmonary Edema caused William Blake's death in 1827.
Information about the death of William Blake
"The fool who persists in his folly will become wise."
"To see a world in a grain of sand and heaven in a wild flower Hold infinity in the palm of your hand and eternity in an hour."
"I am in you and you in me, mutual in divine love."
"To generalize is to be an idiot."
"The man who never in his mind and thoughts travel'd to heaven is no artist."
Gian-Carlo Rota (Philosopher) Death – Age of Death and Cause of Death
Nicola Abbagnano's Death Cause, Age at Death, and More!
Mortimer J. Adler's Death Cause, Age at Death, and More!


text:
Q: Titles before text I'm writing study notes using LaTeX. I'd like to introduce each section with a title describing what I'm going to discuss. I dont want: the text to be boldtype, the title to come in numbered. Is there any way of achieving this? Oh, and also, I'd like to have the title and main text nicely spaced. Here is an example of what I'm currently doing, i.e. I'm using the center environment, along with vspace.
My code:
\begin{center} This is what I'd like to have \end{center}
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\vspace{2mm}
\begin{center} This is what I'd like to have \end{center}
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A: Something like this?
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage{titlesec}%
\titleformat{\section}[block]{\filcenter\Large\scshape}{}{0ex}{}
\titlespacing*{\section}{0pt}{10ex}{6ex}

\begin{document}

\section{ This is what I'd like to have}
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\section{This is also what I'd like to have}
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\end{document}

A: I'd suggest sticking to the basic markup since it allows you to change things in the future in a global (easy) way rather than having to find every \begin{center}...\end{center} construction to change something.
Below I use sectsty to change the formatting/style of the sectional headings and remove the section numbering. From there, \section{...} still prevents being orphaned at the bottom of a page, while your center construction could be separated from its content.

\documentclass{article}

\usepackage{sectsty}
\sectionfont{\normalfont\large}% Section font styling
\makeatletter
\renewcommand{\@seccntformat}[1]{}% Remove section numbering
\makeatother

\begin{document}

\section{This is what I'd like to have}
Find more information about how to ask a good question here.
Visit the help center. Ask questions about the site on meta

\section{This is what I'd like to have}
Find more information about how to ask a good question here.
Visit the help center. Ask questions about the site on meta

\end{document}

redpajama_set_name: RedPajamaStackExchange


text:
Philippe E.P.Gh. Dodrimont, né le  à Aywaille est un homme politique belge, membre du Mouvement réformateur. Il a été élu au conseil provincial en 1987, devenant par la même occasion le plus jeune conseiller provincial du Pays. Ensuite, il entama sa carrière communale avec respectivement les fonctions de conseiller (89-93), échevin (93-02) et bourgmestre (de 2003 à 2018). Il a réalisé tant en 2006, qu'en 2012 le meilleur taux de pénétration de l'arrondissement de Liège, réunissant personnellement les suffrages de près de 40 % des électeurs de sa commune.

Député wallon depuis 2009, il est aussi le président du MR de l'arrondissement de Liège (élu en 2004, 2008 et 2012). En 2018, il a choisi de se présenter à la dernière place de sa liste aux élections communales, permettant à Thierry Carpentier de lui succéder à la fonction mayorale. En 2019, il est à nouveau élu au parlement wallon et reconduit dans sa fonction de sénateur. Depuis le , il est secrétaire au sein du bureau du parlement de la Fédération Wallonie Bruxelles

Grand amateur de sports, il se passionne pour le cyclisme qu'il pratique régulièrement. Supporter inconditionnel de Philippe Gilbert, il a organisé dans sa commune le championnat de Belgique sur route en 2009. Philippe Dodrimont est aussi auteur de trois pièces de théâtre, une autre de ses passions. Il écrit mais aussi joue son propre rôle dans ces pièces qui ont diverti des centaines de spectateurs. Il est marié depuis 1988 et père d'une fille (Anna), née en 1996. Avec son épouse et sa fille, il vit aussi intensément aux côtés de nombreux animaux (chats, chevaux, ânes).

Le , Philippe Dodrimont a reçu le titre d'Officier de l'Ordre de la Couronne lors d'une cérémonie au Sénat.

Carrière professionnelle
1986-1988 : secrétaire du parlementaire Joseph Bonmariage
1988-1993 : employé au Ministère de la Justice
1993-1995 : employé à la Province de Liège
1995-1998 : employé à l'Association Liégeoise d'Électricité

Depuis 1998, Philippe Dodrimont se consacre entièrement à la politique.

Carrière politique
1987-2009 : conseiller provincial de la  Province de Liège
 1989 - 1993 : conseiller communal d'Aywaille
1993-2002 : échevin d'Aywaille
2003-2018 : bourgmestre d'Aywaille
 2004-    : président de la fédération d'arrondissement de Liège du MR ( en cours)
2009-    : député wallon et de la Communauté française (en cours)
2018-    : sénateur (en cours)
  : chef de groupe au conseil communal (Ensemble)
2019- : secrétaire au sein du bureau du Parlement de la Fédération Wallonie-Bruxelles

Notes et références

Liens externes
Le Groupe MR du Sénat
Le Groupe MR du Parlement de Wallonie

Personnalité du Mouvement réformateur (Belgique)
Bourgmestre d'Aywaille
Député wallon
Député de la Communauté française de Belgique
Naissance en juin 1964
Naissance à Aywaille
Sénateur belge de la 56e législature
Sénateur belge de la 57e législature

redpajama_set_name: RedPajamaWikipedia


text:
Look and Live Preparatory School
Proprietor Paul Ola Temitope standing in the school's small courtyard
A wet and muddy playground/courtyard
Dividers create small "classrooms"
Look and Live Preparatory School is located in the community of Iwaya which is part of greater Makoko in the Mainland district of Lagos. It is located across a narrow river from Makoko. There are approximately 10,000 residents in Iwaya, made up mainly of fishermen, petty traders (hawkers), and government workers. Iwaya is generally a higher income neighborhood that Makoko proper and has better living conditions. While it shares many of the same characteristics such as poor housing made from wooden boards and patched with metal sheets, and poor sanitation with open sewers both concrete and otherwise, it tends to have better quality housing. Here one can find concrete housing blocks and in general a relatively high standard of living while still being a very poor community.
The great majority of students come from Iwaya, with only a small number from outside of the area. Look and Live Preparatory School has been in operation since 1999. The school is comprised of one small building with 9 classrooms that are created by simply arranging dividers throughout the larger room. The small L-shaped class block seems too small to contain nine classrooms, but somehow the cramped but cleverly arranged cubicles manage to fit the relatively large student body. Still, it is hard to imagine all nine classes in session simultaneously, given the large potential for noise interference. There is a tiny but well organized office separate from the classrooms to the left of the building. The building wraps around a small courtyard, offering public space which is rare in Lagos private schools. The school building is surrounded by houses and stands out as it has recently received a fresh coat of paint. The facilities are well maintained.
Look and Live Preparatory School serves 200 children, in grades ranging from nursery through primary (6 th grade). Average class size is 20 students. The proprietor of the school is Paul Ola Temitope: 08055801099 (lookn_live@yahoo.com). There are 12 full time teachers who all either hold teaching certificates or have Secondary School educations. Teachers generally have been at the school for 3 to 4 years and are paid 4,000 to 5,000 naira ($31 to $39) depending upon qualifications and experience. Tuition cost at Shomaa School is 2,500 naira ($19) per child per term. Currently, ten students are receiving free tuition. All families with two or more students qualify for a 20% reduction in school fees. As t he average family income in Iwaya is 6,500 ($50) per month, even the very low tuition cost represents a large portion of the family budget.
There is one pit toilet for the entire school. Wash basins are provided for washing. The proprietor would like to install more toilets when funds are available. The school offers first aid and pays for up to 70% of students' necessary health care costs at a nearby clinic. Mr. Temitope would like to be able to hire an on-site part-time nurse when possible. There is electricity, but it is not reliable and the school has only a faulty back-up generator. Phone lines are not currently installed, but are available. If the electrical problem is resolved and a phone line installed, internet service could be possible. The school has one computer in the office and the proprietor has a friend who maintains it.
Mr. Temitope is an intelligent and innovative person who has utilized a very small space in a creative way to provide his large number of students with the best school facility possible under the circumstances. Mr. Temitope is very pleased that Look and Live Preparatory School is a candidate for the Singer-Kids4Kids program. Any assistance that could be provided to this school would have a large impact in the lives of the students.
Home » Singer Kids 4 Kids » Participating Schools » Look and Live Preparatory School

redpajama_set_name: RedPajamaCommonCrawl


I have often been asked what it feels like to press 350 lbs. with one hand, and perhaps to my readers the different sensations experienced will be interesting. In the first place, immediately I start to press the weight away from the shoulder I become perfectly oblivious to everything except the weight that I am lifting. The spectators are obliterated from my mind by the effort of intense concentration which is necessary to enable me to press the weight. I immediately engage myself in a terrific struggle in which the weight and I are competitor, and only one can win, either the weight must be lifted or else I fail. This concentration is, of course, one of the secrets of success in lifting, as I have explained in another part of my book. It enables me to bring forward the last ounce of pushing power, and for the time being to exert strength beyond that normally possessed.
As the weight steadily rises aloft perhaps half way it wavers, the balance alters, and I have immediately, yet very carefully and quietly, to adjust my position to the altered balance of the ball. Then I must proceed with the press, my body gradually falling lower towards the left knee, my eyes fixed all the time upon the ponderous weight balanced over my head, ready to fall at a moment's notice should I weaken or place myself in a false position, and should at this moment anyone shout out, it might startle me, make me waver, and cause the weight to fall. Therefore, if I am attempting a world's record in this position, I generally ask for complete silence until I have either failed or succeeded, and I might mention here that to think of failure is to fail, and I always tell myself all the time that I am certain to succeed even though I am attempting a weight more than I have hitherto lifted.
Eventually, my arm is straight, and before coming to an upright position I engage in another tussle with the enormous barbell, in which I have to exert all my will power to hold together the flagging powers of tired muscles, which have been strained by the tremendous pressure which 350 lbs. brings on to them in the effort of pressing aloft. By supreme effort of the will I fix the bell in a good position and then stand upright. Often the bar will roll on to the fingers instead of being directly over the wrist, in which case severe pain is inflicted and I have to persevere with the lift under doubly hard conditions, or drop the weight and try again.


According to the latest WHO data published in 2017 Lymphomas Deaths in Lesotho reached 19 or 0.07% of total deaths. The age adjusted Death Rate is 1.20 per 100,000 of population ranks Lesotho #180 in the world. Review other causes of death by clicking the links below or choose the full health profile.


text:
SAB Biotherapeutics Progressing on Therapeutic for COVID-19
Home > News > SAB Biotherapeutics Closes Series B Funding
SAB Biotherapeutics Closes Series B Funding
July 17, 2020 12:18 PM Eastern Daylight Time
SIOUX FALLS, S.D.–(BUSINESS WIRE)–SAB Biotherapeutics (SAB), a clinical-stage biopharmaceutical company with a proprietary technology to produce fully human polyclonal antibodies without the need for human plasma donors, today announced it has closed its Series B funding round at $14 million. New investor, global healthcare leader Merck, known as MSD outside the United States and Canada, was joined by South Dakota Equity Partners and several other follow-on and private investors.
"The onset of the current pandemic precipitated a mobilization to rapidly address COVID-19 and a focus on providing a therapeutic solution to this crisis," said Edward Hamilton, DVM co-founder and Executive Chairman of the Board of Directors for SAB Biotherapeutics. "Our successful track record in emerging infectious disease and rapid response contract with the United States Government has garnered significant additional support and we are working in concert with our partners to deliver a potential new class of therapy as quickly as possible."
Since March of 2020, SAB has announced $36.4 million in funding awarded for its rapid response program and the development of an anti-SARS-CoV-2 fully human polyclonal antibody therapeutic, SAB-185, poised to begin clinical trials this month.
"It's the continued confidence of our existing investors and the follow-on investments in the platform technology that has bolstered our ability to deliver a differentiated solution that is able to respond to this pandemic," added Hamilton. "We're delighted to have Merck, an innovative global healthcare leader, and one of the top 10 R&D investors worldwide, join our group of investors as we look to apply this innovative immunotherapy platform across several therapeutic categories including infectious disease, autoimmune, inflammation and oncology."
With this Series B, the company has raised approximately $50 million in equity and secured more than $100 million in non-dilutive funding in the form of grants and contracts, since its founding.
About SAB Biotherapeutics, Inc.
SAB Biotherapeutics, Inc. (SAB) is a clinical-stage, biopharmaceutical company advancing a new class of immunotherapies leveraging fully human polyclonal antibodies. Utilizing some of the most complex genetic engineering and antibody science in the world, SAB has developed the only platform that can rapidly produce natural, specifically-targeted, high-potency, human polyclonal immunotherapies at commercial scale. SAB-185, a fully-human polyclonal antibody therapeutic candidate for COVID-19, is being developed with initial funding up to $9.4 million supported by the Biomedical Advanced Research Development Authority (BARDA), part of the Assistant Secretary for Preparedness and Response (ASPR) at the U.S. Department of Health and Human Services through an existing $27 million Rapid Response contract with the Department of Defense (DoD) Joint Program Executive Office for Chemical, Biological, Radiological, and Nuclear Defense (JPEO – CBRND) Joint Project Lead for Enabling Biotechnologies (JPL-EB). In addition to COVID-19, the company's pipeline also includes programs in Type 1 diabetes, organ transplant and influenza. For more information visit: www.sabbiotherapeutics.com or follow @SABBantibody on Twitter.
Melissa Ullerich
mullerich@sabbiotherapeutics.com
https://www.businesswire.com/news/home/20200717005435/en/SAB-Biotherapeutics-Closes-Series-Funding
SAB Biotherapeutics Announces New Appointments to its Board of Directors
SAB Biotherapeutics Awarded $57.5M from BARDA and U.S. Department of Defense for Manufacturing of SAB-185 for the Treatment of COVID-19
SAB Biotherapeutics Announces First Patient Dosed In Phase 1b Clinical Trial Of SAB-185 For The Treatment Of COVID-19
©2021 SAb Biotherapeutics, Inc.


Upgrade home-office security and take the opportunity to join the Star Trek generation of smart-home IoT.
Describe my experience installing and configuring a couple of Schlage Sense smart-locks and configuring them to connect to a couple of Apple TVs as their HomeKit hubs.
With the release of the iPhone SE and the iPad Pro, along with the expectation that iPad apps will include support for slide over and split screen mode it's now clear that Auto Layout is here to stay. If you're not already developing apps using Auto Layout and Size Classes now is a great time to learn more about them and prepare yourself for any updates to the APIs that Apple introduces at WWDC in June.
Fortunately there's a lot of great resources to quickly get up to speed and learn the best way to support a variety of devices and size classes in your next app.
At Art & Logic, I wear many hats … a likely consequence of having numerous interests: I am passionate about software and the development process; I am passionate about IT operations; I am passionate about information security, cryptography, privacy, and how those topics intersect when our customers seek our services. It does not surprise many of my colleagues to learn I have been closely following the legal battle between the US Dept. of Justice and Apple over an encrypted iPhone 5c … but they are often surprised by why. This case has potentially far-reaching implications for those of us who write software for a living. Equally, so might it affect our customers; companies who seek to use custom software for their own business goals.
The outcome of the legal debate around the case will not merely affect just the San Bernardino suspect's iPhone. It will serve to shape legal precedent, policy, and very likely the form of 'secure' technology in the future. We build technology – frequently with necessary security properties requested by our customers.


Wow. I didn't know that this thing that I have is actually a "thing". I need to take this quiz even though I know the answer.
Enjoyed this one! This is my topic. Tom is an INTP and Molly an ENFJ. (The N function is associated with some introverted qualites, so it comes up confused on pop test) Other ENFJs include Jeff Cannata and Neil Degrasse Tyson.
The guy that came up with extraversion and introversion (Carl Jung) theorized that everyone is an ambivert. (he never used that word) You have a dominate trait function and an auxillary function that assists it) In Tom's Case. Introverted Thinking paired with an auxillary lesser "used" function Extroverted iNtutuion. (in other words, Tom becomes more extroverted when ideas/concepts are being thrown around) Molly is more introverted when she becomes curious.


text:
using System;
using System.Collections.Generic;
using System.Xml.Serialization;
using System.Text;

namespace Amazon.EC2.Model
{
    /// <summary>
    /// Deletes a VPN gateway.
    /// </summary>
    /// <remarks>
    /// Use this when you want to delete a VPC and all its
    /// associated components because you no longer need them. We recommend
    /// that before you delete a VPN gateway, you detach it from the VPC
    /// and delete the VPN connection. Note that you don't need to delete
    /// the VPN gateway if you just want to delete and re-create the VPN
    /// connection between your VPC and data center.
    ///
    /// AWS might delete any VPN gateway if you leave it inactive for an
    /// extended period of time (inactive means that there's no VPN
    /// connection in use with the VPN gateway).
    /// </remarks>
    [XmlRootAttribute(IsNullable = false)]
    public class DeleteVpnGatewayRequest : EC2Request
    {
        private string vpnGatewayIdField;

        /// <summary>
        /// The ID of the VPN gateway you want to delete.
        /// </summary>
        [XmlElementAttribute(ElementName = "VpnGatewayId")]
        public string VpnGatewayId
        {
            get { return this.vpnGatewayIdField; }
            set { this.vpnGatewayIdField = value; }
        }

        /// <summary>
        /// Sets the ID of the VPN gateway you want to delete.
        /// </summary>
        /// <param name="vpnGatewayId">The ID of the VPN gateway you want to delete.</param>
        /// <returns>this instance</returns>
        [Obsolete("The With methods are obsolete and will be removed in version 2 of the AWS SDK for .NET. See http://aws.amazon.com/sdkfornet/#version2 for more information.")]
        public DeleteVpnGatewayRequest WithVpnGatewayId(string vpnGatewayId)
        {
            this.vpnGatewayIdField = vpnGatewayId;
            return this;
        }

        /// <summary>
        /// Checks if VpnGatewayId property is set
        /// </summary>
        /// <returns>true if VpnGatewayId property is set</returns>
        public bool IsSetVpnGatewayId()
        {
            return this.vpnGatewayIdField != null;
        }

    }
}

redpajama_set_name: RedPajamaGithub


A drawer that can be swiped in from the left edge of the screen. There's only a single instance that can be accessed via tabris.ui.drawer. The drawer is locked by default. To use it in an application, set the property locked to false. The drawer can contain any kind of widgets.
Opens the drawer. It may be useful to call this method on first startup, so that users notice the drawer and its contents.
Controls whether the drawer can be opened and closed. When set to false, the drawer cannot be opened and calls to drawer.open() will be ignored.
Controls how the drawer integrates into its targetView.
overlay completely hides the drawer when closed and overlays other content when opened.
compactOverlay makes the drawer partially visible when closed so a 48px wide bar remains side-by-side with the targetViews other content. If a drawer-action controls the drawer it is placed inside this bar. When the drawer is opened its remaining width overlays the targetViews other content.
inline completely hides the drawer when closed, but shows it side-by-side with the targetView when opened. The drawer does not close automatically in this mode.
compactInline makes the drawer partially visible when closed (like compactOverlay), but shows it side-by-side with the targetView when opened (like inline).
This property may be set to an instance of NavigationView to make its drawer-action open/close the drawer. It also integrates the drawer into the NavigationView layout. When not set to NavigationView instance the property defaults to tabris.ui. Other widgets are not supported. Available only on Windows.
Fired when the drawer is closed and has reached its resting position.
Fired when the enabled property has changed.
value: boolean The new value of enabled.
Fired when the drawer is opened and has reached its resting position.
Fired when the win_displayMode property has changed.
value: string The new value of win_displayMode.
Fired when the win_targetView property has changed.
value: Widget The new value of win_targetView.


Learn how to grow your own plants from seeds and cuttings – "Raid Your Neighbour"!
Correct pruning is beneficial to your trees and shrubs to increase durability and strength; remove dead and diseased wood; improve cropping, regrowth and aesthetics as well as the general health of your trees and shrubs. New plants can be expensive and creating new ones from seed collected or prunings from friends can be a fun, low cost way to get more plants in your life.


Umeå, Sweden, September 2, 2014.
Toontrack is proud to announce the addition of yet another historic instrument to the EZkeys Line, the Mellotoon. In addition to the release, a MIDI pack of chords and phrases is also made available separately.
EZkeys Mellotoon is based on the classic Mellotron keyboard introduced in the early 1960s. This unique instrument was the first of its kind to include samples of real instruments, but as opposed to the modern-day digital sampler, the Mellotron pulled them off a magnetic tape loop that ran inside the keyboard. It came with various sounds for piano, strings, flutes, brass and is likely best described as the first-ever "band in a box". Naturally, it was a revelation from the get-go. Early adopters included the Beatles, the Moody Blues and King Crimson, who all immortalized the unmistakable tone of the Mellotron in numerous hits. Today, this piece of instrument history is enjoying a massive resurgence in a wide range of genres.
Keys & Strings EZkeys MIDI was created with the Mellotron, its rich palette of sounds and music history in mind. However, it works just as well in with any EZkeys sound library! This is the perfect well of inspiration for anything from ambient pop to classic rock.
The EZkeys Line includes several classic analogue and electric pianos. All versions of EZkeys come with the same groundbreaking software and functionality. Users who already own an EZkeys can get any other at a discount.


text:
The Role of Entanglement in Quantum Information Processing
Entanglement plays an important role in Quantum Information Processing. It has wide applications in areas of Quantum cryptography, secure communications, teleportation and so on. All these protocols involve muti party entanglement which requires locally producing the entanglement and then distributing it to different parties. These multiparticle entanglement can be of various types depending upon its number of qubits. Interestingly upon distribution the states will interact with the environment and become mixed state or less entangled pure state. For proper execution of most of the protocols we need a perfect channel thus we need to convert the non maximally entangled state back into maximally entangled state. The transformation of a less entangled pure state (pure non maximally entangled state) into a maximally entangled state is known as entanglement concentration whereas transformation of a mixed non-maximally entangled state into a maximally entangled state is known as entanglement purification/distillation. In 1996 Bennet et al. [origional ECP] proposed the first entanglement concentration protocol by using collective entanglement concentration procedure (known as Schmidt projective method).
Recently many schemes for the ECPs and the EPs are implemented for different states such as Bennet et al. [EP] implemented ECP for bell state, Sheng et al. [Sheng-1] impemented ECP for maximally entangled Bell state, Sheng et al. [Sheng-2] impemented ECP for arbitrary W state, Bose et al. [S. Bose ] impemented ECP based on entanglement swapping (needs collective Bell state measurement) for maximally entangled Bell state, Chaudhury and Dhara have implemented ECP for GHZ [Dhara GHZ state] and Cluster state [Dhara Cluster state], Zhou et al. [NOON] for NOON states etc. But we are interested in entanglement concentration for Cat state and GHZ-like state using non-maximally entangled Bell state via a special kind of circuit through which the scheme for the construction of pure maximally entangled state is proposed.
Interestingly, up to date different techniques/strategies have been used for realization of the protocols of entanglement concentration (ECPs) and entanglement purification (EPs) or distillation, such as linear optics (use of PBSs), cross-Kerr-nonlinearities (use of QNDs), purification via entanglement swapping, unitary transformation [unitarytranx] and quantum electrodynamics (QED) techniques [QED] etc.
Rest of the paper is organized as follows: In Section [sec:Entanglement-concentration-protocols] our scheme is presented for Cat state and GHZ-like state with their respective circuits, Section [sec:Efficiency] efficiency part is discussed and finally the paper is concluded in Section [sec:Conclusion].
Physica A 337 (2004) 141 – 148=>Vedral et al. proposed the three
MLA Citation:
"The Role of Entanglement in Quantum Information Processing." 123HelpMe.com. 20 Jan 2020
<https://www.123helpme.com/view.asp?id=301991>.
Quantum Physics : Quantum Mechanics Essay
- In the world of subatomic particles, the rules that normally apply to objects that are visible by the human eye are totally disregarded. Subatomic particles behavior can be attempted to be explained by a term called quantum mechanics. Quantum mechanics gives the probability of where a particle will be located at, such as point A or point B. It describes atoms or particles, really anything at that level or smaller in a similar way in which relativity describes the laws of how much larger objects behave.... [tags: Quantum mechanics, Electron, Photon, Atom]
Quantum Physics Essay examples
- Quantum mechanics is the study of the behavior of energy and matter at the atomic, molecular and nuclear levels and sometimes even microscopic levels. The first initial information on quantum mechanics was first discovered in the early 20th century by a pioneering scientist Max Planck, because of this early knowledge of quantum energy it led to the first invention of the transistor. Scientist Max Planck discovered an equation that explained the results of these tests. The equation is as follows, E=Nhf, with E=energy, N=integer, h=constant, f=frequency.... [tags: Quantum Mechanics]
Essay on Grammatical Processing in Language Learners
- The keynote article "Grammatical processing in language learners" by Clahsen and Felser, aimed to compare the grammatical processing in adult native speakers, child first language learners, and adult second language learners (L2ers) (3). The authors examined works that observed the processing of morphology, ambiguous sentences, and syntactic dependencies before going into their general discussion in which they summarize the results and suggest the shallow structure hypothesis. The first topic looked at by Clahsen and Felser was morphological processing.... [tags: sentence processing, languages processing ]
Quantum Computers Essay
- introduction A quantum computer is one which exploits quantum-mechanical interactions in order to function; this behavior, found in nature, possesses incredible potential to manipulate data in ways unattainable by machines today. The harnessing and organization of this power, however, poses no small difficulty to those who quest after it. Subsequently, the concept of quantum computing, birthed in the early 80's by physicist Richard Feynman, has existed largely in the realm of theory. Miraculous algorithms which potentially would take a billionth of the time required for classical computers to perform certain mathematical feats, and are implementable only on quantum computers, as such ha... [tags: quantum physics computer]
- Missing figures With today's technology we are able to squeeze millions of micron wide logic gates and wires onto the surface of silicon chips. It is only a matter of time until we come to a point at which the gates themselves will be made up of a mere handful of atoms. At this scale, matter obeys the rules of quantum mechanics. If computers are to become smaller and more powerful in the future, quantum technology must replace or reinforce what we have today. Quantum computers aren't limited by the binary nature of the classical physical world.... [tags: quantum physics computer]
Quantum Mechanics and Marc Lange's "An Introduction to The Philosophy of Physics"
- Of the many counter intuitive quirks of quantum mechanics, the strangest quirk is perhaps the notion of quantum entanglement. Very roughly, quantum entanglement a phenomenon where the state of a large system cannot be described by the state of the smaller systems that compose it. On the standard metaphysical interpretation of quantum entanglement, this is taken to show that there exists emergent properties1. If this standard interpretation is correct, it seems that physics paints a far different picture of the world then commonsense leads one to believe.... [tags: Quantum Mechanics, science, Marc Lange, Introducti]
Essay on Digital Imaging Procesing Techiques
- Image Processing Image processing is any form of signal processing for which the input is an image, such as a photograph or video frame, the output of the image processing may be either an image or a set of characteristics or parameters related to the image. Most image processing techniques involve treating the image as a two-dimensional signal and applying standard signal processing techniques to it. Image processing usually refers to digital image processing, but optical and analog image processing also are possible.... [tags: processing a picture by a computer]
The Physics Of Quantum Mechanics Essays
- In 1897, a little more the one hundred years ago, the electron was first discovered. With the discovery of the electron came the discovery of the neutron roughly thirty-five years later. These two discoveries were very important to the furthering of quantum mechanics. Without these discoveries, quantum mechanics would not have become something so important. Quantum mechanics is the branch of mechanics that deals with the mathematical description of the motion and interaction of subatomic particles.... [tags: Quantum mechanics, Electron, Light, Atom]
Exploring Quantum Physics Essay
- There are many different types of science in today's society. A few of these sciences include biology, chemistry, and physics. There are subjects within these subjects, also. One of these subjects is known as quantum physics. "Quantum physics is the theory that underlies nearly all our current understanding of the physical universe" (Rae xi). Without quantum physics, which will be referred to as quantum mechanics, and a few important quantum physicists, such as Max Planck, Niels Bohr, Erwin Schrödinger, Werner Heisenberg, and Albert Einstein, especially, many, if not all, things in the physical universe would not be understood.	Max Planck was one of the founders of quantum mechanics.... [tags: Quantum Physics Essays]
Quantum Teleportation Essay
- Quantum Teleportation is one of the newest areas of study in the field of quantum physics. It is the stuff of science fiction, which is fast becoming reality, where solid objects can be moved vast distances instantly. It has been the subject of books and movies for years but it wasn't until recently that physicists at IBM's laboratories made it a reality. The ideas that formed the basis of these experiments came about from previous research by scientists such as Albert Einstein and Heisenberg. This essay will explore the research done on this subject, the theories behind it, and the possible applications.... [tags: quantum physics teleport]
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basic steps needed by general entanglement puri2cation protocols: (1) the local general measurements on the total system; (2) the classical communication; (3) postselection: the selection of the entangled pairs with higher purity conditioned on the measurement result of subsystems [21].
Optics Communications 284 (2011) 2402=>degradation of entanglement is unavoidable during storing, processing and transmission processes. As entanglement cannot be increased by local operations and classical communication (LOCC) [5], entanglement purification will be essential for the best performances of quantum communication and quantum computation. Entanglement purification is a process that one can extract a certain number of almost perfectly entangled states froma large number of less entangled states using LOCC. For the pure nonmaximally entangled states case, this process will be called entanglement concentration. In 1996, Bennett et al. [6] proposed the first concentration protocol for identical partially entangled pairs of two-state particles where the two parties of quantum communication need to perform a collective and nondestructive measurement for the joint state of n pairs of qubits; unfortunately, this scheme is hard to implement in practice because so many particles are needed to measure simultaneously. Bose et al. [7] presented another concentration scheme of polarization entangled photons via entanglement swapping. After that, a lot of authors have been devoted to polarization entanglement concentration using by linear optical elements and collective Bell-statemeasurement [8–11] or by nonlinear optics and quantum nondemolition detector [12].
Entanglement purification deals with mixed entangled states, distilling a subsetsystem with high fidelity entanglement from a mixed entangled ensemble [13–24], while entanglement concentration is used to extract the maximally entangled state from a partially entangled pure state. Though entanglement purification can be used to purify mixed states, entanglement concentration is of interest in its own rights. As entanglement concentration protocols (ECPs) provide us a way to generate maximally entangled states, while entanglement purification protocols (EPPs) only generate highlye ntangled states by consuming more than half the quantum resource in each round.
PhysicaB404(2009)1917–1919=> The main idea of entanglement purification is that one obtains comparatively few entangled pairs, the entanglement of which will be enhanced, from many nonmaximally entangled pairs by local operations and classical communication (LOCC).
Dhara=>Entanglement concentration is helpful for decoherence of entanglement which arises from the storage process or the imperfect entanglement source.
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Racism, use of race card harms everyone in U.S.
I take parts of Candace Wade's June 20 letter to the editor as a personal attack upon me, though I don't believe I have had the pleasure to meet Ms. Wade.
I take parts of Candace Wade�s June 20 letter to the editor as a personal attack upon me, though I don�t believe I have had the pleasure to meet Ms. Wade.
I organized the Maury County Tea Party to stop the financial slavery burdening all Americans and especially my children and grandchildren by the federal debt. The federal debt is immoral. As an optimist, I seek to unite the citizens of Maury County by Teaching the lessons of history and applying them to the present, as opposed to being a politically motivated pessimist, who seeks to divide us by using hate, fear and race card gamesmanship.
The movie, �Agenda� is a historical documentary of the Marxist movement in the United States. I strongly believe one must learn the lessons of history and have the mental capacity and the moral backbone to apply these lessons to the present.
As individuals, our moral values and beliefs are molded by our personal experience during our lives, but also by those of our parents, their parents and earlier generations.
The Bowen�s were Quakers and fled Wales in 1690 to come to this new world promising freedom of religion after suffering persecution for decades.
One of their descendants became governor of the great state of Tennessee. William Bowen Campbell fought in the Mexican-American War, fought to unite a country divided by slavery and defended the office of the president, representing President Andrew Johnson.
My grandfather stood on a porch in the dark of night with a shotgun when four white hooded men came calling, because his wife was of German descent. Near the same time, my fifth-grade Teacher and her parents fled Germany in the 1930s because they were Jewish.
Two years later, a rock smashed the window on the back of the bus, landing at my feet, because of federal mandated racial integration in the 1970s. The rock was thrown out of ignorance, fear and hatred. On our bus were innocent children of all colors, not just white.
Racism is a threat to all Americans and the citizens of Maury County, regardless if it is a rock or a card. Racism is based on the lack of knowledge, fear and hate. For Ms. Wade to oppose the Teaching the lessons of history at a movie theater, well � I will let you decide. Do take a stand and fight all attacks by racial and tyrannical bullies of all colors, all genders and all political belief systems.


About a month ago, I was asked to participate in the #AveenoDailyChallenge and I enthusiastically accepted! Basically the challenge I chose was simple: For 3 weeks, I committed to eating healthier by incorporating more fruits and veggies into my meals, and also to using AVEENO® Daily Moisturizing Lotion every day. My goal was aimed at enhancing beauty from the inside out.
And I noticed that once you get in a healthy grove and buy the bounty of the season, it gets easier (and inspiring) and you want to do it more!
Now let's talk about this fabulous gem of an affordable all-over-body lotion from Aveeno – Daily Moisturizing Lotion – it was surprisingly FAB, hydrating and nourishing and a little goes a long way!
Disclosure: I was compensated by Aveeno for participating in this challenge, but all insights and behavior shifts are my own. I am also currently an Aveeno Brand Ambassador.


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Before doing damage, you may switch 1 of the Defending Pokémon with 1 of your opponent's Benched  Pokémon. If you do, this attack does 30 damage to the new Defending Pokémon. If the Defending  Pokémon would be Knocked Out by this attack, you may remove all damage counters from Cradily.


This is my first post in India. One week ago we went to Ramazan since then all we've done is look at houses and wander around town. I also looked at my new school. All the buildings are made of stone! I will have to catch a bus to go to it.


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Q: Use custom session in fatfree framework I want to use custom session in my fatfree application.
I have already running a custom php website here: http://www.example.com and I have installed fat free app under a subdirectory like
  http://www.example.com/fatfree-app, can you please let me know how I can use my parent site( http://www.example.com) session under http://www.example.com/fatfree-app.
In my parent site I'm setting session in this way:
 $_SESSION['access'] = TRUE;
 $_SESSION['userid'] = $objUser->userid;
 $_SESSION['role_id'] = $objUser->role_id;
 $_SESSION['team_id'] = $objUser->team_id;
 $_SESSION['uname'] = $objUser->uname;
 $_SESSION['name'] = $objUser->name;

*How can I disable built-in session in fat-free framework?

Thank you in advance.

A: Well, you could use f3's build in sync function.
$f3->sync('SESSION'); // ensures PHP global var SESSION is the same as F3 variable SESSION

And to disable it just set Session to false in the system variables.
$f3->set('SESSION', FALSE);


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CIFF unveils VR slate, Impact program
Organizers of the Camden International Film Festival will highlight issues of gun control and the impact of climate change on the world's oceans, and feature a raft of immersive and interactive non-fiction content.
Organizers of the Camden International Film Festival (CIFF), taking place from September 15-18 in Camden, Maine, say they are significantly expanding on their commitment to using non-fiction to bring communities together, spark dialogue and affect social change this year, while highlighting the new forms of storytelling within the genre.
This year, CIFF is unveiling Storyforms, its first collection of interactive and immersive non-fiction media. Among the projects featured are VR experiences from The Guardian, the BBC and The New York Times.
Projects slated for Storyforms include: 6×9: A VR Experience of Solitary Confinement, from The Guardian and director Francesca Panetta; The Ark, from directors Kel O'Neil and Eline Jongsma; The Fight for Falluja, from The New York Times and director Ben C. Solomon; Return to Chernobyl from PBS 'Frontline'; Easter Rising: Voice of a Rebel from the BBC and director Oscar Raby; Deep in the Heart of Brooklyn from directors Matthew Niederhauser and John Fitzgerald; The Maribor Uprisings: A Live Participatory Documentary from Maple J. Razsa; (Dis)Locate from Billy Wirasnik, Emily Ferrier and Joey Pitzo; The Argus Project from Gan Golan, Raquel de Anda, Ligaiya Romero and Julien A. Terrell; Roundware: Rockland from Halsey Burgund with audio content from Meghan Vigeant / Stories to Tell; and time-lapse LED wall (the wall can see) from Alexander Reben.
Also for the 2016 edition, screenings and events will be a part of the Points North Impact program, a rebrand of CIFF's previous Engagement Summit. Developed in partnership with Working Films and the Fledgling Fund, Points North Impact brings filmmakers and Maine-based non-profit leaders to brainstorm strategies for using non-fiction film and media as an organizing tool.
"We believe creative non-fiction storytelling can be a powerful tool for affecting social change, said Ben Fowlie, executive director of the Points North Institute, in a statement. "Documentary films and other forms of creative non-fiction help audiences develop greater empathy and understanding of an issue, they bring together communities and they inspire action."
Through the Points North Impact program, several CIFF 2016 films will be used to shine a light on issues like gun control and the affect of climate change on on the world's oceans with screenings and extended panel discussions with special guests and workshops.
On September 17, the festival will screen the world premiere of Sacred Cod, a documentary film just acquired by Discovery Channel that captures the collapse of the historic cod population in New England. The screening will be followed by a panel with the filmmakers and guests who will address issues including overfishing, the impact of climate change, the effect of government policies on fishermen and fish, and the economic impact of losing cod fishing.
And on September 18, the festival will screen the award-winning film Newtown, which tells the story of the aftermath of the deadliest mass shooting of schoolchildren in American history. It will be followed by an extended Q&A with the film's director, Kim Snyder, subjects from the film, members of the Newtown community and special guests from across Maine. The festival's Points North Forum will also include a panel discussion called "Building Movements with Media: Newtown Case Study," which will investigate the collaboration between filmmakers, funders, impact strategists and movement organizers attempting to use documentary film to affect gun control.
Additionally, through a partnership with Camden-based Conservation Media Group, CIFF will also host three finalists for the CMG Action Grant, filmmakers and organizations who will pitch at the festival for the chance to get a $10,000 grant to produce a short film about either healthy oceans or renewable energy solutions. The winner will be revealed at CIFF's Closing Night on September 18, 2016. Finalists include Doug Woodring for Global Alert – Floating Trash, Jeff Talbot for Protect the Great Bear Sea and Alex Finn for Whale Heritage Sites.
6x9: A VR Experience of Solitary Confinement, Camden International Film Festival, Conservation Media Group, Deep in the Heart of Brooklyn, Easter Rising: Voice Of A Rebel, Fledgling Fund, Newtown, Points North Impact, Points North Institute, Sacred Cod, The Fight for Falluja, virtual reality, Working Films
Discovery Channel snags "Sacred Cod"
CIFF team launches Points North Institute
Points North Institute starts short-form editing residency
Atlantic eyes Oculus future with Alchemy VR division


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Q: Doc2vec MemoryError I am using the doc2vec model from teh gensim framework to represent a corpus of 15 500 000  short documents (up to 300 words):
gensim.models.Doc2Vec(sentences, size=400, window=10, min_count=1, workers=8 )

After creating the vectors there are  more than  18 000 000 vectors representing words and documents.
I want to find the most similar items (words or documents) for a given item:
 similarities = model.most_similar('uid_10693076')

but I get a MemoryError when the similarities are computed:
Traceback (most recent call last):

   File "article/test_vectors.py", line 31, in <module>
    similarities = model.most_similar(item)
  File "/usr/local/lib/python2.7/dist-packages/gensim/models/word2vec.py", line 639, in most_similar
    self.init_sims()
  File "/usr/local/lib/python2.7/dist-packages/gensim/models/word2vec.py", line 827, in init_sims
    self.syn0norm = (self.syn0 / sqrt((self.syn0 ** 2).sum(-1))[..., newaxis]).astype(REAL)

I have a Ubuntu machine  with 60GB Ram and 70GB swap . I checked the memory allocation (in htop) and I observed that never the memory was completely used. I also set to unlimited the the maximum address space which may be locked in memory in python:
resource.getrlimit(resource.RLIMIT_MEMLOCK)

Could someone explain the reason for this MemoryError? In my opinion the available memory should be enough for doing this computations. Could be some memory limits in python or OS?
Thanks in advance!

A: 18M vectors * 400 dimensions * 4 bytes/float = 28.8GB for the model's syn0 array (trained vectors)
The syn1 array (hidden weights) will also be 28.8GB – even though syn1 doesn't really need entries for doc-vectors, which are never target-predictions during training.
The vocabulary structures (vocab dict and index2word table) will likely add another GB or more. So that's all your 60GB RAM.
The syn0norm array, used for similarity calculations, will need another 28.8GB, for a total usage of around 90GB. It's the syn0norm creation where you're getting the error. But even if syn0norm creation succeeded, being that deep into virtual memory would likely ruin performance.
Some steps that might help:

*

*Use a min_count of at least 2: words appearing once are unlikely to contribute much, but likely use a lot of memory. (But since words are a tiny portion of your syn0, this will only save a little.)

*After training but before triggering init_sims(), discard the the syn1 array. You won't be able to train more, but your existing word/doc vectors remain accessible.

*After training but before calling most_similar(), call init_sims() yourself with a replace=True parameter, to discard the non-normalized syn0 and replace it with the syn0norm. Again you won't be able to train more, but you'll save the syn0 memory.
In-progress work separating out the doc and word vectors, which will appear in gensim past verstion 0.11.1, should also eventually offer some relief. (It'll shrink the syn1 to only include word entries, and allow doc-vectors to come from a file-backed (memmap'd) array.)


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How the Patriots can create additional cap space before the start of free agency
Related: Patriots release linebacker Kyle Van Noy, creating $4.2 million in salary cap savings
By Bernd Buchmasser@BerndBuchmasser Mar 11, 2022, 6:00am EST
Share All sharing options for: How the Patriots can create additional cap space before the start of free agency
Photo by Maddie Meyer/Getty Images
As soon as the clock strikes 4 p.m. ET on March 16, the entire NFL has to be under the salary cap. That means that the sum of the 51st top cap hits on a team's roster is not allow to exceed the recently announced $208.2 million.
The New England Patriots are already below this number, but barely. After releasing veteran linebacker Kyle Van Noy in a cost-cutting move on Monday, the club has around $10.21 million available, according to salary cap expert Miguel Benzan.
While those $10.21 million would allow the Patriots to fulfill the NFL's top-51 rule, they puts them in a challenging situation when it comes to being competitive in free agency. Whether that means re-signing a significant portion of in-house free agents — a group that includes four team captains, two starting offensive linemen and Pro Bowl cornerback J.C. Jackson — or bringing in outside reinforcements, New England needs to create more cap space.
Luckily for the team, there is plenty of potential to do that without gutting the current 57-man roster (compromising of players either under contract for 2022 or signed to futures deals). There are different ways to do that besides cutting players: New England can also sign select players to contract extensions, make trades to free up cap space, or convert salary into fully-guaranteed signing bonuses.
The Patriots have used all of these in the past, and might very well do that again between now and the start of free agency. Which players might be the ones impacted by those measures? Let's take a look at some candidates as listed by Miguel, broken down into the categories outlined above.
Obviously, this list includes only realistic transactions. While cutting a player like wide receiver Kendrick Bourne would create considerable savings, for example, that will not happen. Likewise, one player might fall into more than one category but the list below features our best guesses as to what will happen.
DE Henry Anderson: The Patriots signed Anderson to a two-year contract last March, but a pectoral injury forced him to end his season in early October. Up until that point, he was mainly used as a package player and had a limited impact on the team's defensive fortunes. The 30-year-old might be a trade candidate, but a cut seems more likely. | Net cap savings: $1.85 million | Dead money: $1 million
S Cody Davis: Davis led the Patriots in special teams tackles last season, but his return is no guarantee. Not only is he carrying a $2.3 million salary cap charge, he also might be partly at fault for the team's struggles in punt protection last year: as the personal protector, Davis is responsible for setting the blocking. On his watch, New England allowed a league-high three punts to get blocked. | Net cap savings: $1.1 million | Dead money: $500,000
CB Joejuan Williams: Williams was a second-round pick just three years ago, so the Patriots might be able to find a trade partner for him. However, his inconsistent performance ever since arriving in the NFL will make it hard for the team to move him via trade. Hence, he is projected as a release — one that would create a higher dead cap number than net savings but still free up almost $700,000. | Net cap savings: $693,636 | Dead money: $709,846
Contract extensions
WR Nelson Agholor: Wait, what? Yes, Nelson Agholor is actually a candidate for a contract extension heading into the second and final year of the deal he signed last spring. While he did not live up to his price tag in 2021 — catching just 38 passes for 491 yards and three scores — an extension makes more sense than a release: cutting Agholor would save only roughly more money while also creating a $10 million dead cap number. Trading Agholor would solve those issues, but it seems unlikely a team would be willing to give up assets to take on the 28-year-old. Either way, Agholor playing on a $14.88 million cap number seems unlikely. | Net cap savings: $3.94 million | Dead money: --
P Jake Bailey: The Patriots could make the surprising move and either cut or trade Bailey to save $3.28 million versus a minimal dead cap charge ($72,520), but it all depends on how they view his most recent performance compared to his 2020 All-Pro season. If they think the more inconsistent 2021 was an outlier, Bailey will likely stay put and is a realistic candidate to see a new deal come his way. If not, a release or trade is indeed an option. For our purposes, however, we are going with the first scenario. | Net cap savings: $2.41 million | Dead money: --
WR Kendrick Bourne: Signing players to extensions is putting more pressure on the 2023 payroll, but it would make sense in a lot of cases. Kendrick Bourne, who was just signed to a three-year deal last offseason, is one of those. He made an immediate impact in Year 1 as a Patriot, establishing himself as one of quarterback Mac Jones' favorite targets and a popular locker room presence. Bourne will not be going anywhere in 2022; in fact, adding another year to his deal would make sense. | Net cap savings: $1.8 million | Dead money: --
DT Davon Godchaux: Another player added last offseason who can be seen as a candidate for an extension, Godchaux played a starter-level role along New England's defensive line in 2021. However, he is already entering the final season of the two-year pact he signed with the Patriots. Taking care of the 27-year-old at this point in time looks like a good move. | Net cap savings: $2.7 million | Dead money: --
TE Hunter Henry: As opposed to Jonnu Smith, Henry acclimated very well to playing in New England and delivered an impressive first season after signing a three-year, $37.5 million contract last March — a contract that includes a $15 million cap hit this year. Signing Henry to an extension might help bring that number down, and give the Patriots more financial flexibility while keeping him under contract for three (or more) instead of two additional seasons. | Net cap savings: $5 million | Dead money: --
Salary conversions
LB Matthew Judon: Possibly one of the most realistic moves on this list, converting parts of Judon's non-guaranteed $11 million salary into a fully-guaranteed signing bonus spread out over the remaining three years of his contract would save the Patriots considerable cap space. The move would be a win-win: Judon would earn some guarantees, while New England would gain some cap space in 2022. | Net cap savings: $6.64 million | Dead money: --
DB Jalen Mills: Mills and his $4.5 million salary are in the same position as Matthew Judon. Sure, the salary-to-signing bonus conversion would be pushing the can down the road by increasing New England's payroll in both 2023 and 2024. Nonetheless, with the cap expected to keep increasing by a significant amount over the next few years such a move would not be a short-sighted one. | Net cap savings: $2.31 million | Dead money: --
WR N'Keal Harry: The Patriots are in a difficult spot with their former first-round receiver. Harry will not suddenly turn the corner, which means that a breakup is possible. The question is how it will happen. From New England's perspective a trade is the most favorable option because it would create more cap savings ($1.87 million) than a release ($1.2 million). That said, it always takes two to tango and finding a partner willing to give up assets to take on the talented but thus far underwhelming wideout is no guarantee. | Net cap savings: $1.17 million | Dead money: $1.34 million
QB Jarrett Stidham: With Mac Jones firmly entrenched as the starting quarterback, the Patriots might decide that now is the time to move on from Stidham: entering the final year of his rookie deal, he is a realistic candidate to be traded. Sending the former fourth-round pick elsewhere will likely not yield the same return, but anything is better than a straight-up release from a compensation perspective — especially because the cap implications would be the same. | Net cap savings: $260,000 | Dead money: $159,028
LB Chase Winovich: The Patriots are thinner than desired along their defensive edge after releasing Kyle Van Noy, but Winovich might also be on his way out. After playing a prominent role in 2019 and 2020, he was saw limited action last season. Just like Harry and Stidham, he is entering the final year of his rookie contract; if New England wants to trade him, despite the depth implications on the edge, now would be the best time. | Net cap savings: $260,000 | Dead money: $249,328
As can be seen, the Patriots have multiple realistic options to increase their current cap space without parting ways with some of their best players. Sure, a number of those moves would put pressure on the team's depth at some positions, but the financial gain might be worth making them.
If New England decided to follow through with all of them as projected above, the team would create almost $30 million in additional cap space on top of the $10.21 million currently available. That does not mean that all of these transactions are likely to happen, but it shows that the salary cap is still a somewhat flexible construct that can be altered on a short-term basis in order to fit a team's needs.
Please make sure to give Miguel Benzan a follow (@patscap) and, if possible, to support his chosen charity: Habitat for Humanity of North Central Connecticut. He is trying to raise $120,000 by the end of the year, and every dollar counts. If you can, please donate here. Thank you.


Miami was a founding member of the Recyclemania recycling competition. In recent years Miami has competed in the per capita classic measuring weights of recycleables per capita. We promote the campaign through a variety of media, including via our Eco-Reps program, and measure before and after weights per residence hall and educational building. We conduct regular educational campaigns during the competition, provide updates on leading buildings/halls, and announce and reward the buildings at the end of the competition.
Miami University placed 89th of 339 schools competing in the RecycleMania 2012 Tournament's Per Capita Classic, with 16.45 cumulative pounds recycled per person on campus during the eight-week competition. This was an increase from 96th place (of 363 schools) and 16.1 pounds recycled per person in 2011.
In 2013 Miami is participating in the targeted materials - organics division of Recyclemania. This corresponds with the installation of our first organics compactor on campus, which is the heart of our pre- and post-consumer organics collection.


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Q: Solving for equation of a circle when tangents to it are given. Given: $\mathrm L(x) = x - 2$, $\mathrm M(y) = y - 5$ and $\mathrm N(x, y)= 3x - 4y - 10$.
To find: All the circles that are tangent to these three lines.

Outline of the method :
If we parameterised any line $\mathrm Z$ in terms of $x(t) = pt + q$ and $y(t) = rt + s$, then for a general circle $\mathrm C(x, y) = (x - \alpha)^2 + (y - \beta)^2 - \gamma^2$ we can substitute the the parameters of the line and get
$$\mathrm C(x(t), y(t))  = a t^2 + bt + c  = 0,$$
where $a,b,c \in \Bbb R$ and they depend on $p$,$q$.
Now if this quadratic has $2$ roots then the circle intersects the line at $2$ points and same for $1$ and $0$ roots.
If we are given that $\mathrm Z$ is tangent then we can using completing the square and get $(t - d(p, q) ) ^2  + e(p, q) = 0$.
So our condition for the line tangent to the circle would be $e(p, q) = 0$.

Parameterising the three equations,
$\mathbf L^\prime (l) = (2,0) + l (0,1)$, $\mathbf M^\prime(m) = (0, 5) + m(-1, 0)$ and $\mathbf N^\prime(n) = (2 , -1) + n(4,3)$.
Substituting these in the general equation of a circle,  $\mathrm C(x, y) = (x - h)^2 + (y - k)^2 - r^2$.
$$\left\{ \begin{align} \mathrm{C(L_x, L_y)} &= (2-h)^2 +(l-k)^2 -r^2 \\ \mathrm{C(M_x, M_y)} &= (m+h)^2 +(5-k)^2 -r^2 \\ \mathrm{C(N_x, N_y)} &= (2+4n-h)^2 +(3n-1-k)^2 -r^2 \end{align} \right.$$
As per the above method,
From first equation we get $r^2 = (2 - h) \iff r = |2 - h|$ and from second equation, $r = |5 - k|$.
Completing the square on the third equation we get,
$$\mathrm{C(N_x, N_y)} = \left(5n + \dfrac{5 - 4h - 3k}{5}\right) + 5 - 4h + 2k - r^2 + h^2 + k^2 - \left[1 - \dfrac{4h - 3k}{5}\right]^2.$$
Therefore,
$$ 2 + 2k + h^2 + k^2 = r^2 + 4h +  \left[1 - \dfrac{4h - 3k}{5}\right]^2.$$
So here we got three equations:
\begin{align} 2 +2k +h^2 +k^2 &= r^2 +4h +\left[1 - \dfrac{4h-3k}{5}\right]^2 \\ r &= |5-k| \\ r &= |2-h|. \end{align}
I don't mind solving the third equation after substituting for $r$ from first in it, it is just a quadratic. What I don't understand is whether I should take $r = + (5 - k)$ or $r = - (5 - k)$ and $r = +(2 - h)$ or $r = - (2 - h)$?
Which two out of those should I take? And why?

A: converting the equation in the Hessian Normalform we have
$$\frac{|3x-4y-10|}{5}=R$$ where $$(x,y)$$ denotes the middle Point of our searched circle; and it must be $$x=2+R,y=5-R$$

A: Consider $\triangle ABC$,
$A=(2,5),B=(2,-1),C=(10,5)$
and its incircle and three excircles,

\begin{align}
a&=10,\quad
b=8,\quad
c=6,\quad
\\
r&=2,\quad
r_a=12,\quad
r_b=6,\quad
r_c=4
,\\
O_i&=(4,3),\quad
O_a=(14,-7),\quad
O_b=(8,11),\quad
O_c=(-2,1)
.
\end{align}

A: You have by distance from a point to a line formula,
$$|h-2|=|k-5|=\frac{|3h-4k-10|}{5}=r.$$
Consequently, $h=2\pm r$, and $k=5\pm r$. So we have four cases

*

*$h=2+r$, $k=5+r$ implies $|3(2+r)-4(5+r)-10|=|r+24|=5r \implies r=6$. So the equation of the circle is $$\color{red}{(x-8)^2+(y-11)^2=36}.$$

*$h=2+r$, $k=5-r$ implies $|3(2+r)-4(5-r)-10|=|7r-24|=5r \implies r=2,12$. So the equation of the circles are $$\color{red}{(x-4)^2+(y-3)^2=4},$$ and $$\color{red}{(x-14)^2+(y+7)^2=144}.$$

*$h=2-r$, $k=5+r$ implies $|3(2-r)-4(5+r)-10|=|7r+24|=5r$, which does not have any solution such that $r >0$.

*$h=2-r$, $k=5-r$ implies $|3(2-r)-4(5-r)-10|=|r-24|=5r \implies r=4$. So the equation of the circle is $$\color{red}{(x+2)^2+(y-1)^2=16}.$$