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7 Films and Shows About Teen Anxiety and Depression
October 31, 2019 Anxiety Anxiety, representation
All teenagers experience some level of stress in their ever-changing, high-pressured lives and anxiety is a normal reaction to it. It is not uncommon for teens to experience anxiety and it may in fact help some teens to manage challenging situations such as an exam, a first date or sports event. The brain responds to those anxious feelings by raising the heartrate, creating butterflies in the stomach and excessive sweating.
Depression can also be triggered in teens as they try to manage the increasing stimuli and life challenges that they face. From academic pressure to relationship experiences to acceptance of their new bodies, teens juggle so many new and expanding emotions and feelings that their developing brains cannot process all of it.
Unfortunately, for some teens, normal levels of stress and anxiety extend well beyond the event itself and interfere with their everyday lives. It may create a rift in friendships, trouble sleeping, difficulties in school, and an avoidance of extracurricular activities. It may create deep feelings of sadness, low self-esteem and a lack of desire for anything that they once enjoyed.
According to the National Institute of Mental Health, twenty five percent of teens in the 13 to 18-year-old range suffer from an anxiety disorder and twenty percent of teenagers will suffer from depression. Being mindful of how others see them at this very precarious time in their lives, most teens are hesitant to speak up and actually tell someone that they are experiencing unusual feelings, thoughts, and emotions.
Since there are no visible indicators of depression and anxiety and teens don't walk around with a sign on their neck saying "I suffer from anxiety!" or "I am depressed", it is very difficult for people to understand what a teen may be experiencing or how they may be able to help. It is very easy for someone to stereotype a teen's behavior or mental illness due to lack of knowledge that he or she is afflicted. There is very little information available in the media about the true nature of mental health disorders and their impact and what is out there overdramatizes the symptoms and behaviors, making teens out to be monsters.
Because of the lack of understanding and the stigma associated with anxiety, many teens typically feel judged, isolated and fearful of speaking up about their disorder. They suffer in silence rather share their feelings and emotions for fear of being stereotyped as crazy, or having "problems". In order to fight this stigma and get more teens the help that they need, it is important to bring to light the symptoms and signs of mental health issues.
Traditionally, people didn't talk about their feelings and challenges that they were having with their mental health. No one wanted to admit that they had a problem or that a family member may be suffering. It was one of those "secrets" that families keep, believing that it will go away or even worse, in denial that anything was wrong.
With negative views from society as the number one reason that teens were not receiving help for their mental health issues, the U.S. government decided to step in and save lives. In 1990, Congress officially established the first week of October to be Mental Illness Awareness Week to advocate, educate and fight the stigma that mental health issues carry. Although awareness has come a long way and people are now recognizing the severity of the challenges that sufferers face, true compassion and understanding is still far off.
Since this declaration in 1990, the media has played a significant role in breaking the stigma and bringing awareness to the issues of teen anxiety and depression. Unfortunately though, when it comes to finding shows or movies that accurately depict these mental health challenges, it is no small feat! Most of the time, viewers hear about mental illness it is relative to a psycho killer or deranged schizophrenic. Rarely do you find any media coverage sharing compassion and empathy for those who suffer. Although shows depicting the real-life struggles are few and far between, we have compiled a list of 5 Films and television shows that do address teen anxiety and depression.
Each of these shows or movies accurately represents the disorders in a realistic way, providing the audience with a sense of understanding and sending a powerful message that those who suffer are not alone.
In September 2016, the miniseries "This is Us" premiered featuring the tragic events of an American family. An emotional drama, the storyline follows several generations of the Pearson family and has received acclaim for its depiction of anxiety and how one family manages it. When a character, Randall, experienced a panic attack, sufferers saw his pain and suffering as relatable and very true to life. Although those with anxiety usually feel detached and alone, this scene showed how family and friends can support a person who is experiencing these feelings.
"This is Us" tends to address topics that many families across all cultures may experience yet in some, it may be unheard of to acknowledge that there is a problem. According to Mental Health America[ii], it is very common that black men will not seek professional help for their mental health challenges. In season one of "This is Us", Randall asked for help, giving other men and teenage boys of all the ages and backgrounds the courage to ask for help as well.
Later, in season 3 of the show, Toby's struggle with depression was dealt with unbelievable honesty. His character's depiction of the illness hit very close to home for many sufferers. After he and his wife struggled to conceive a baby, Toby decided to stop taking his anti-depressant medication and then fell into a severe cycle of depression and anxiety. According to the actor who plays Toby, Chris Sullivan, "People dealing with depression or anxiety want nothing more than to know that they're not alone."
Viewers of the show have expressed that the show's depiction of depression and anxiety is accurate and that if anyone is looking for information about how to treat a loved one who is suffering, they should watch "This is Us".
"The Road Back" is a short film created by Acadia Hospital, Project AWARE and a group of teenagers in Maine experiencing anxiety and depression. It was selected as one of the 10 best depression videos of 2013 by Healthline.com. With the goal of sharing the true-life experiences of teens who suffer from anxiety, the movie explores the negative stigma associated with teens with anxiety disorder and how it impacts their lives. It follows two high-achieving teenagers around their busy, high-pressured lives and gives an inside view of their symptoms and challenges. As part of the video, producers have included a free online tool that allows teens to evaluate themselves and determine if they should seek professional help for a mental health issue. According to Acadia President Daniel B. Coffey, "Community education and outreach is a cornerstone of our mission to empower people to improve their lives, and I'm pleased that our efforts are being noticed and making an impact for individuals struggling with a mental health issue."
Producers of the film hope that it will raise awareness about mental health issues such as anxiety and encourage sufferers that there is hope through treatment and support.
"Angst", an IndieFlix Original movie, is designed to raise awareness and knowledge about the symptoms, to break the stigma about and to encourage those who suffer from teen anxiety. Through interviews with real people, Angst gives sufferers the courage to reach out for help and provides parents and caregivers valuable insight into what teens may be experiencing and how they can support them. It includes discussions with mental health experts who share the causes, the impact, and treatment of anxiety.
The film producers even speak with the Olympic world champion, Michael Phelps, about his struggles with depression and anxiety and the fact that he "just did not want to be alive anymore."
In 2008, "The Headless Woman" was released and is considered to be a masterpiece among movies about anxiety. The protagonist, Veronica, begins her tailspin into anxiety after hitting something with her car which she believes to have been a child. This became the trigger for her disorder for which there is no cure. She discovered that although there is no end to her anxiety, she could learn to manage it on a daily basis. "The Headless Woman" is an excellent depiction of how sufferers begin to see things that do not really exist and how it can change, if not, ruin their lives if not addressed.
The highly acclaimed television show "The Fosters" has received very favorable reviews for its portrayal of many social themes in which its characters must deal with bias, dysfunction, stereotypes and stigmas, and mental health issues. In its third season, the theme of the "The Fosters" revolved around depression and its impact on the family. According to one viewer, who suffers from depression, the episode had helped her to realize that this time in her life has been about discovery and recreating herself. She was very thankful for the inspiration of hope that the characters gave her.
In the teen drama series "Degrassi: Next Class", the very real lives of high school students is depicted in a way that shares the real-life struggles of being a teenager. Producers address a wide variety of issues including drug use, feminism, sexuality, dysfunction families and of course, mental illness. In one episode, Miles, one of the main characters, struggles with anxiety as a result of the pressure that he has placed on himself to be perfect. In season 3, Maya seems to be suffering from depression, yet no one seems to notice until it becomes very serious. Aside from the stigma that mental health issues, sometimes onlookers don't have the courage to step in and offer assistance. In Maya's case, her best friend blocked her calls and text messages once she started to show real signs of depression rather than getting her help.
Sometimes that is all that it takes to get a person who is suffering the help that they need: the knowledge that someone else cares and is willing to help. It could be the difference between life and death.
Lastly, a recent episode of the new show "One Day at a Time" reminds viewers that discussions about anxiety and depression should never stop. The issues don't just go away and therefore, we as a society can never shy away from having open conversations and discussions. Mental health issues are real and can impact anyone. It does not discriminate among race, age or gender and can manifest itself in many ways.
The primary take-away from the episode "Hello, Penelope" is that the brain plays tricks with a person, getting them to believe that they are just fine, possibly finished with medication and therapy, yet the real struggles are still present. Sufferers begin to unravel and yet may not truly believe that they are falling into a downward spiral, quickly, if they do not receive the proper medical treatment to bring them back to a state of mental health.
While this list provides a significant number of shows and movies that address mental health issues, struggles still exist and there is an even greater need for the media to share the struggles and challenges that sufferers face and to help them understand that help is available.
At Beachside Treatment Center, your teen will receive the diagnosis and care that they need to overcome the symptoms and identify the causes of their depression or anxiety while learning the coping skills to help them moving forward. When teens are experiencing depression or being buried under anxiety, they cannot see how they have a future or that their situation will improve. The trained medical professionals at Beachside will guide your teen to see the good things in their life and to recognize that it is worth living, helping to put their perspective back on track and so that they can have hope for the future.
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text:
Q: Numerical treatment of a 3-dim. partial differential equation in spherical coordinates - question re laplacian I want to solve the 3-dim. anisotropic and inhomogeneous heat equation numerically.
Starting point is
$$ q = -A \cdot \nabla u $$
$$ \dot{q} = - \nabla q + f $$
with $x \in \mathbb{R}^3$, energy density $u(x)$, heat flow $q(x)$, source $f(x)$ and $A(x)$ a 3 × 3 real, symmetric and positive definite matrix.
As a warm up I restrict to problems with spherical symmetry. That means
$$ -\nabla q = -\nabla (-A \cdot \nabla u) = r^{-2} \, \partial_r (r^2 \, a \, \partial_r u) $$
where $a(r)$ is a function of the radial coordinate only. This is equivalent to purely radial heat flow.
Problem: I am looking for a numerical treatment of the operator $r^{-2} \, \partial_r (r^2 \, a \, \partial_r u)$, not running into problems at $r = 0$. What is the best discretization? Shall I use $u = r^k \, v$ with some reasonable $k$ instead?
$u(r, t=0)$, $a(r)$ and $f(r)$ are non-zero at $r = 0$.

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text:
In der Mathematik gehört zu einer Gruppenoperation, -aktion oder -wirkung eine Gruppe  als "aktiver" Teil und eine Menge  als "passiver" Teil. Die Operation, Aktion oder Wirkung eines Elements  auf der Menge  ist eine Transformation (Selbstabbildung) dieser Menge. Dabei operieren die Elemente  auf den Elementen der Menge  in der Weise, dass die Aktion des Produkts  der Hintereinanderausführung der Einzelaktionen entspricht.

Die operierende Gruppe  wird Transformationsgruppe genannt. Die Menge  zusammen mit der Operation von  auf  heißt

Ist bei der Menge  zusätzliche Struktur von Bedeutung, sei es algebraische, geometrische, topologische, wird eine Gruppenoperation nur dann als zulässig erachtet, wenn sie diese Struktur bewahrt.

Die Gruppenoperation ermöglicht es in Algebra, in Geometrie und vielen anderen Bereichen der Mathematik, die Symmetrien von Objekten mit Hilfe von Symmetriegruppen zu beschreiben. Hier steht die Untersuchung der Menge, auf der die Operation wirkt, im Vordergrund.
Andererseits kann die Operation einer vorgegebenen Gruppe auf geeignet gewählten Mengen in der Gruppentheorie wichtige Informationen über die Struktur der operierenden Gruppe liefern. In diesem Fall steht die Untersuchung der operierenden Gruppe im Vordergrund.

Einführendes Beispiel: Würfelgruppe und Raumdiagonalen

 seien die Ecken eines Würfels in der üblichen Bezeichnung, d. h.,  und  sind gegenüberliegende Flächen (siehe erstes Bild). Die Drehung des Würfels um die Achse, die die Mittelpunkte dieser beiden Flächen verbindet (zweites Bild), induziert die folgende Vertauschung der Ecken:
    und gleichzeitig

Durch die Drehung werden auch (gleichzeitig) die 4 Raumdiagonalen vertauscht, nämlich

Eine weitere Symmetrieabbildung, die Spiegelung an der Ebene  (viertes Bild), lässt die 2 Raumdiagonalen  und  fest und vertauscht die anderen 2
    und
Es gibt aber auch Symmetrieabbildungen des Würfels, die die Raumdiagonalen nicht untereinander vertauschen, nämlich die Punktspiegelung am Mittelpunkt (drittes Bild): Sie entspricht
    und gleichzeitig
    und gleichzeitig
    und gleichzeitig

Dabei wird jede einzelne Raumdiagonale wenn auch gespiegelt, so doch auf sich selbst abgebildet.

Man sagt: Die Gruppe der Symmetrieabbildungen des Würfels (genannt die "Würfelgruppe") operiert auf der Menge der Ecken, auf der Menge der Kanten, auf der Menge der Raumdiagonalen etc. Um diese Gruppe zu erfassen, werde im Folgenden der Fokus auf die Permutationen der Raumdiagonalen gerichtet.

Es gibt nun zu jedem Paar von Raumdiagonalen eine Ebenenspiegelung (in der Abbildung zum Paar  und ), die diese beiden vertauscht und alle anderen Raumdiagonalen fest lässt, nämlich die Spiegelung an derjenigen Ebene, die die festbleibenden Raumdiagonalen enthält. Eine solche paarige Vertauschung heißt Transposition, und diese Transpositionen erzeugen die ganze symmetrische Gruppe der Permutationen der (vier) Raumdiagonalen. Da es  dieser Permutationen gibt und genau zwei Symmetrieabbildungen, die alle Raumdiagonalen festlassen (nämlich die Identität und die oben genannte Punktspiegelung), kann man schließen, dass es insgesamt

Symmetrieabbildungen des Würfels gibt, ohne jede von ihnen einzeln zu kennen. (Für eine genauere Analyse der Gruppenstruktur siehe Oktaedergruppe.)

Definition

(Links-)Aktion
Eine (Links-)Operation, (Links-)Aktion oder (Links-)Wirkung einer Gruppe  auf einer Menge  ist eine äußere zweistellige Verknüpfung

mit folgenden Eigenschaften:
  für alle , wobei  das neutrale Element von  ist     ("Identität"),
  für alle      ("Verträglichkeit").

Man sagt dann,  operiert (von links) auf , und nennt  zusammen mit dieser Gruppenoperation eine (linke)

Aus den beiden Forderungen folgt, dass für jedes  die Transformation  eine bijektive Abbildung ist (die Umkehrabbildung  ist ). Deswegen ist die Aktion eines Gruppenelements  nicht nur eine Selbstabbildung, sondern eine Permutation von , und eine Gruppenoperation von  auf  kann mit einem Gruppenhomomorphismus von  in die symmetrische Gruppe  gleichgesetzt werden.

Rechtsaktion
Analog zur Linksoperation ist eine Rechtsoperation, -aktion oder -wirkung eine äußere zweistellige Verknüpfung

mit
  für alle  und das neutrale Element  von
  für alle

Der Unterschied zwischen Links- und Rechtsoperationen liegt in der Art und Weise, wie Verknüpfungen  auf  operieren. Bei einer Linksoperation operiert zuerst  und dann , während bei einer Rechtsoperation die Reihenfolge umgekehrt ist.

Aus einer Rechtsoperation lässt sich eine Linksoperation konstruieren, indem man die Operation als Linksoperation der Gegengruppe schreibt, oder auch, indem statt  von links  von rechts operiert. Zu jeder Rechtsoperation  gibt es eine Linksoperation

denn

und

Analog lässt sich eine Links- in eine Rechtsoperation umwandeln. Da sich Links- und Rechtsoperation im Wesentlichen nicht unterscheiden, werden ab hier nur noch Linksoperationen betrachtet.

Weitere Begriffe

Bahn
Es sei  die (Links-)Operation einer Gruppe  auf einer Menge  Für jedes  nennt man dann

die Bahn, das Transitivitätsgebiet, das Transitivitätssystem oder den Orbit (engl. orbit) von  Die Bahnen bilden eine Partition von  Die Anzahl der Elemente einer Bahn (bzw. ihre Mächtigkeit) wird auch die Länge der Bahn genannt. Für ein fest gewähltes  nennt man die durch

gegebene Abbildung  die "Orbitabbildung".

Die Bahnen sind die Äquivalenzklassen bezüglich der Äquivalenzrelation:

falls es ein  gibt, für das  gilt.

Die Menge  der Äquivalenzklassen wird Bahnenraum oder Orbitraum genannt.

Für eine Rechtsoperation  definiert man analog

und

Fundamentalbereich

Seien  ein topologischer Raum und  eine Transformationsgruppe von . Für einen Punkt  bezeichne  die Bahn von . Dann heißt die Menge  ein Fundamentalbereich von , wenn der Schnitt  für jedes  eine einelementige Menge ist.

Beispiel

Das Quadrat  ist ein Fundamentalbereich von  bezüglich der Transformationsgruppe . Jeder Punkt  lässt sich schreiben als  mit  und .

Transitive und scharf transitive Operationen
Man bezeichnet die Gruppenoperation  von  auf  als (einfach) transitiv oder sagt "die Gruppe  operiert (einfach) transitiv auf ", wenn es zu je zwei Elementen  ein  gibt, so dass  gilt. In diesem Fall gibt es nur eine einzige Bahn, die ganz  umfasst. Ist das Gruppenelement  mit  darüber hinaus durch zwei beliebige Elemente  eindeutig bestimmt, so nennt man die Gruppenoperation scharf (einfach) transitiv.

Gibt es sogar zu jedem Paar von Urbildern  mit  und jedem Paar von Bildern  mit  ein Gruppenelement , für das  und  ist, dann nennt man die Gruppenoperation zweifach transitiv und scharf zweifach transitiv, wenn es stets genau ein Gruppenelement mit der genannten Eigenschaft gibt.

Wenn Missverständnisse nicht zu befürchten sind, kann anstelle der Formulierung "die Symmetriegruppe des Graphen operiert transitiv auf den Kanten" auch die kürzere "der Graph ist kantentransitiv" oder "die Gruppe ist kantentransitiv" (engl. edge-transitive) vorkommen.

Allgemein bestimmt eine Operation  der Gruppe  auf  für  stets eine Operation

auf den geordneten Teilmengen von  mit  Elementen (k-Tupel mit paarweise verschiedenen Komponenten) durch

Ist  (scharf) einfach transitiv, dann heißt die Gruppenoperation  (scharf) -fach transitiv. Mit anderen Worten: Die Gruppe operiert via  genau dann -fach transitiv auf  wenn  bezüglich  nur eine Bahn (nämlich  selbst) hat, scharf -fach transitiv, wenn es für Elemente (k-Tupel)  dieser Bahn stets genau ein Gruppenelement  mit  gibt.
Wichtige Anwendungen haben solche (scharf) transitiven Operationen in der Geometrie, siehe zum Beispiel Affinität (Mathematik), Moufangebene, Affine Translationsebene.

Beispiele

 Die Vierergruppe  operiert (scharf einfach) transitiv auf der Menge , da die Ziffer 1 in jede andere übergeführt werden kann. Das gilt nicht für die Vierergruppe , die isomorph zu  ist.
 Die Galoisgruppe eines über  irreduziblen Polynoms mit rationalen Koeffizienten operiert transitiv auf der Menge der Nullstellen des Polynoms.

Intransitive Permutationsgruppe
Hat die Gruppenoperation mehr als eine Bahn, nennt man sie intransitiv. Diejenigen Permutationen einer intransitiven Permutationsgruppe, die nur die Ziffern einer Bahn vertauschen, die übrigen Ziffern ungeändert lassen, bilden eine Untergruppe, die transitiv wird, wenn man die ungeänderten Ziffern weglässt.

Homogene Operationen
Eine Verallgemeinerung der -fach transitiven Operation ist die -fach homogene Operation. Eine Gruppe  operiert  homogen auf der Menge  mit  wenn es für zwei beliebige Teilmengen  mit je genau  Elementen stets mindestens ein Gruppenelement  gibt, das  auf  abbildet, also mit  Jede -fach transitive Operation ist auch -fach homogen. Von der homogenen Operation wird im Unterschied zur transitiven Operation nicht verlangt, dass die  vorgegebenen Urbildelemente in einer bestimmten Reihenfolge auf die vorgegebenen Bildelemente abgebildet werden.

Stabilisator
Für ein  nennt man

den Stabilisator, die Isotropiegruppe, die Fixgruppe oder die Standuntergruppe von  ist eine Untergruppe von , die auf  operiert. Durch die Operation  ist dann eine kanonische Bijektion zwischen dem Bahnenraum (Nebenklassen, siehe unten) des Stabilisators und der Bahn von  gegeben:

 operiert (durch Einschränkung von ) auf  Ist diese Operation -fach transitiv und  so ist die Operation von  auf  sogar -fach transitiv.

Ist  eine Teilmenge und  eine Untergruppe, und gilt
  mit
so sagt man, dass  stabil unter  ist oder dass  von  stabilisiert wird. Es gilt dann stets sogar  Der Stabilisator eines Punktes  ist also die maximale Untergruppe von  die  stabilisiert.

Freie und treue Operationen
Die Operation heißt frei, falls jedes Element der Menge nur vom neutralen Element der Gruppe fixiert wird. Das bedeutet, dass sämtliche Stabilisatoren trivial sind, d. h.  für alle

Die Operation heißt treu bzw. effektiv, falls nur das neutrale Element der Gruppe alle Elemente der Menge fixiert. Das bedeutet, dass der zugehörige Homomorphismus  trivialen Kern hat, also injektiv ist. Für treue Operationen kann  als Untergruppe von  aufgefasst werden. Für treue Operationen mit endlicher Menge  sagt man auch: " operiert als Permutationsgruppe auf "

Jede freie Gruppenoperation auf einer nichtleeren Menge ist treu.

Homomorphismen zwischen G-Mengen
Wenn  eine weitere Menge mit einer -Linksoperation  ist und  eine Abbildung, so dass für alle  und für alle  gilt:

dann wird  als G-äquivariant oder auch als Homomorphismus von -Mengen bezeichnet.

Eigenschaften

Die Äquivalenzklassen der oben eingeführten Äquivalenzrelation  sind genau die Bahnen. Daraus folgt die
 Bahnengleichung: Die Mächtigkeit von  ist gleich der Summe über die Länge aller Bahnen.

Genauer gilt (mit  als der Fixgruppe von ) der
 Bahnensatz: Ist  dann ist die Abbildung  eine Bijektion.
Aus dieser Bijektion folgt für eine endliche Gruppe  die Bahnformel

Insbesondere ist die Länge jeder Bahn ein Teiler der Ordnung von

Beispiele

Operation einer Gruppe auf sich selbst

Operation durch Multiplikation
Das einfachste Beispiel einer Operation ist die Operation einer Gruppe  auf sich selbst:  ist stets eine Operation auf , denn  und

Die Abbildung  ordnet jedem Gruppenelement  die Linkstranslation  mit diesem zu. Weil die Operation treu ist, ist  ein injektiver Gruppenhomomorphismus, man erhält hieraus den
 Satz von Cayley: Jede endliche Gruppe der Ordnung  ist isomorph zu einer Untergruppe der symmetrischen Gruppe
Analoges gilt auch für die Rechtstranslation

Betrachtet man eine Untergruppe  von  dann operiert auch  auf  Die Bahn  eines Elements  heißt dann auch Rechtsnebenklasse und  Linksnebenklasse von  Man beachte, dass im Allgemeinen nicht  sein muss. Die Mächtigkeit der Menge aller Rechtsnebenklassen bezeichnet man mit

Da in einer Gruppe jede Rechtstranslation eine Bijektion ist, gilt  für jedes  Daraus folgt mit der Bahnengleichung der
 Satz von Euler-Lagrange: Für jede Untergruppe  einer endlichen Gruppe  gilt:

 Insbesondere ist die Ordnung von  ein Teiler der Ordnung von

Man kann zeigen, dass es genauso viele Linksnebenklassen wie Rechtsnebenklassen gibt, dass also

Eine Untergruppe  von  heißt Normalteiler, wenn  für alle  gilt. Ist  ein Normalteiler von  dann wird durch

eine Verknüpfung auf  definiert, mit der  eine Gruppe ist, man nennt sie die Faktorgruppe von  modulo

Operation durch Konjugation
Eine Gruppe  operiert auf sich durch die Konjugation, also

Die Bahnen werden in diesem Zusammenhang als Konjugationsklassen, die Stabilisatoren als Zentralisatoren bezeichnet. Aus der Bahnformel erhält man in diesem Fall die Klassengleichung.

Die Automorphismen  heißen innere Automorphismen, die Menge aller inneren Automorphismen wird mit  bezeichnet.

Eine elegante Anwendung der Klassengleichung lieferte Ernst Witt mit seinem kurzen Beweis (1931) des (kleinen) Satzes von Wedderburn (1905): "Endliche Schiefkörper sind kommutativ."

Automorphismengruppe einer Körpererweiterung
Ist  eine Körpererweiterung, dann bezeichnet man mit  die Gruppe aller Automorphismen von  die  punktweise fest lassen. Diese Gruppe operiert auf  durch  Jede Bahn besteht aus den in  liegenden Nullstellen eines Polynoms mit Koeffizienten in  das über  irreduzibel ist.
Elemente derselben Bahn nennt man hier konjugiert über  sie haben dasselbe Minimalpolynom über

Moduln und Vektorräume
Ein -(Links-)Modul ist eine abelsche Gruppe  auf der eine Gruppe  (von links) operiert, derart dass zusätzlich die (Links-)Operation  linksverträglich mit  ist, d. h., es gilt
 für alle  und alle

Die Transformationen  mit  bilden dann die Gruppe  der Automorphismen auf  und die Abbildung  ist ein Gruppenisomorphismus.

Ist insbesondere  die skalare Multiplikation eines Vektorraums  über dem Körper  dann operiert die multiplikative Gruppe  auf

Kategorien
Ist allgemeiner  ein Objekt einer beliebigen Kategorie, so kann eine strukturverträgliche Operation einer (abstrakten) Gruppe  auf  definiert werden als ein Gruppenhomomorphismus

dabei ist  die Gruppe der Automorphismen von  im kategorientheoretischen Sinne. Die oben genannten Operationen von Gruppen auf Mengen oder abelschen Gruppen sind Spezialfälle.

Siehe auch

 G-Raum für stetige Gruppenwirkungen
 Lemma von Burnside

Weblinks

 Gruppenoperation bei MathWorld (englisch)

Einzelnachweise

Gruppentheorie

redpajama_set_name: RedPajamaWikipedia


In our deployment, multiple tester machine may be connected to one Packet Generation Machine.
If we run multiple execution tasks on those machines at the same time, there will be mutual interference between the tasks.
My suggestion is that import additional configure option like Trex_setup. If this option is true, DTS will start/stop Trex.
> The currently merged patchset for T-Rex does not actually start T-Rex.
> DUT before we set up the DUT's network interfaces accordingly.
> This change assumes that T-Rex will always be run on the tester node.


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Elite Milano Blog
AC are set to challenge in Europe once more…
Tag: Milan
BONUCCI: AC MILAN STILL BEHIND JUVE AND NAPOLI
Posted on September 24, 2017 by index
Italian national team central defender Leonardo Bonucci has praised AC Milan for their "journey of growth" but still feels they are behind Juventus and Napoli.
Milan signed ten players this summer as the new owners are keen on helping the club back to their former place in the Serie A and on the continent. However, the pace of delivery is still slow.
Milan needed Suso to score a free kick 20 minutes from regular time for them to scrap a 2-1 result against Cagliari. It was not a show of brilliance yet, though they earnedtheir second successive victory in the league.
The coach Vincenzo Montella is working at integrating the new signings and develop a strong winning team. Bonucci, who is the skipper of the side, is pleased with the progress so far but admits that they are "only at the start." He claimed Juventus and Napoli are "a little ahead" of them so they would need to improve and become more of a team. Continue reading "BONUCCI: AC MILAN STILL BEHIND JUVE AND NAPOLI" →
Posted in AC MilanTagged Dribbling, Goal, Highlights, Milan, Milano
MILAN FRUSTRATED BY DONNARUMMA'S AGENT
Posted on May 8, 2017 by index
Serie A giant AC Milan are keen on keeping highly sought after goalkeeper Gianluigi Donnarumma but the club says they are frustrated with the player's agent Mino Raiola.
The new sporting director of the club Massimiliano Mirabelli made the revelations.
Donnarumma has a year left on his current deal with the San Siro but top sides are open to signing him. The 18-year old shot stopper has been decent in his role for the club, winning the hearts of top clubs. With the recent completion of the Chinese takeover of Milan, Mirabelli was part of the changes at the club.
The director wants to keep the club's best players of which Donnarumma is one. He remains optimistic of convincing the player to stay at the club as they set rebuilding plans in motion.
"All we needed to do was look Donnarumma in the eyes to see if he wants to stay at Milan, and we could see that he wants to. But now we have also got to talk with his agent. We wanted to talk with him to understand how much the lad is attached to these colours. Continue reading "MILAN FRUSTRATED BY DONNARUMMA'S AGENT" →
Posted in AC MilanTagged Champions, Funny, Highlights, Milan, Milano, Nuova
AGENT: CARLOS BACCA HAPPY AT AC MILAN
Posted on January 11, 2017 by index
Sergio Barilla, the agent of AC Milan striker Carlos Bacca has denied the reports which suggest the 30 years old Colombian international is on his way to leaving the club.
The agent reiterated that his client is fully committed and happy in AC Milan and does not intend to leave the San Siro anytime soon.
Bacca, who joined AC Millan from Sevilla for a transfer fee of €30 million, was a subject of transfer speculations all summer with top clubs in Europe like Arsenal, Paris Saint-Germain and West Ham all gunning for the signature of the prolific AC Milan attacker.
At the beginning of the season, the 30-year-old striker revealed he almost completed a move to Paris Saint-Germain, with West Ham united manager claiming Bacca favored a move to Arsenal. Continue reading "AGENT: CARLOS BACCA HAPPY AT AC MILAN" →
Posted in AC MilanTagged A.C., Champions, Dribbling, Highlights, Milan, Milano
Fabregas not joining AC Milan
Posted on November 15, 2016 by index
After reports that the Spanish midfielder might be making a switch to AC Milan during the January transfer window, it is now believed that the Italian club is not interesting in going forward with the deal.
Cesc Fabregas who has lost his place in Chelsea's first team apparently wants to remain to London in order to fight for his place.
There have been media reports last week that AC Milan's representatives have traveled to London in order to join Chelsea's representative. It was believed that the Italian club was trying to convince their London counterpart to allow Fabregas to come on loan.
But it is now believed that the Italian club is no more interested to sign the player and that they are considering other options. There are rumors that the Italian club considers Fabregas salary as a major stumbling block for the deal and that they are now considering cheaper options to boost their squad.
AC Milan has made a good start to their Serie A season this year, and their coach Vincenzo Montella is putting his trust in a group of young players. They were looking to add more experienced in the side and considered Fabregas as an ideal candidate to help boost the team in the center of the park. Continue reading "Fabregas not joining AC Milan" →
Posted in AC MilanTagged A.C., Booba, Goals, Highlights, Milan, Parma
AC Milan needs to get fans back
AC Milan coach Vincenzo Montello has stated that AC Milan should win their fans back. He said that the club is nothing without its supporters, and it is up to the players to win them back to the team.
He was speaking after the match that saw AC Milan beat Torino 3-2. Although AC Milan managed to win the game, it was by no means an easy game and they could have ended up the match with a defeat. It is only because of some poor defending by Torino that the team managed to score 3 goals.
Vincenzo Montella believes that the only way for AC Milan to get back to the top of the Serie A will be to get the fans back behind the team. He said that this is not a new problem and that it is up to the players to change that. He said that fans are not angry with the team or with the coach, but they are just disappointed with the way the club has been playing for a few seasons now. Continue reading "AC Milan needs to get fans back" →
Posted in AC MilanTagged Goals, Highlights, Milan, Milano
Vincenzo Montella had a desire to wear AC Milan shirt
Posted on July 22, 2016 by index
Vincenzo Montella had a desire to wear AC Milan shirt when he was playing the game, but, he could not have that desire turning into reality as the Rossoneri did not come to him seeking his services at any point.
However, now that it has been quite a long time since he hung his boots, he is going to be in Milan shirt, not playing, but, coaching the team and in his first interview he joked that even though his hairs are starting to change their colouring and become slightly greyish, he can still be useful to the Italian giants. Montella says he got himself into coaching post retirement because he was pretty curious about how the coaches work and what sort of pressure comes with the job. According to Montella, the coaches who are his role models have worked at AC Milan and they have set great benchmarks and he would also want to touch that level and get Milan dominating at the country level and at the continent level. Continue reading "Vincenzo Montella had a desire to wear AC Milan shirt" →
Posted in AC MilanTagged Barcelona, Bieber, Dribbling, Highlights, Lazio, Milan, Milano
Zlatan Ibrahimovic Keen To Return To Milan
Posted on May 20, 2016 by index
AC Milan is all geared up with preparations for the Series A season on the final weekend, although it's been a busier week with progress that is being made to find new ownership.
There has been a Chinese consortium granted specially for sale and there will be negotiations which will take place over the coming weeks for an agreement before 15th of June. It is indeed promising and also had opened the door for Milan as it has become a good proposition as far as the target for summer transfers is concerned. The rise in investment as well as financial power in the market can let the Rossoneri to look for high profile names that include the former player Zlatan Ibrahimovic, the Swedish footballer recently expressed his desire to join back San Siro. He said that he had a good relationship with AC Milan and has a genuine concern for them as the club has been the biggest one that he has played for. He said that he was reluctant to leave Milan and it was due to other people that he had to take the extreme step. He is very keen to return and has said the news will soon be revealed. Continue reading "Zlatan Ibrahimovic Keen To Return To Milan" →
Posted in AC MilanTagged Dribbling, Goals, Highlights, Milan, Milano
Former AC Milan player Cesare Maldini has died at the age of 84
Posted on April 28, 2016 by index
Former AC Milan player Cesare Maldini has died at the age of 84. The football world, in general, has paid tribute to one of football greats on Tuesday morning. There were many former team-mates as well as club representatives that were present at the ceremony. Cesare Maldini has made more than 400 appearances for AC Milan and scored three goals during the period 1954 to 1963 and has won 4 League titles during that time.
He also won the European Cup in 1963. He was considered as being one of the best defenders of his generation. He also had a managerial career after his retirement as a player where he managed several clubs such as AC Milan, Foggia, Ternana, and Parma. His best accomplishment as a manager will be to win a Copa Italia and Cup Winners Cup double with AC Milan. He will also help Parma get their promotion to the Serie B.
On the international level, Cesare Maldini will manage the Italy senior team during the period 1996-1998. He will help the team qualify for the 1998 World Cup in France. Despite having a host of talented players at his disposal, he will only make it to the quarter-finals where Italy will be eliminated by the host and future winners France. The former AC Milan defender will be criticized in Italy for his defensive tactics that led to the elimination. Continue reading "Former AC Milan player Cesare Maldini has died at the age of 84" →
Posted in AC MilanTagged Goals, Highlights, Milan, Milano, Nutrilite
Florentino Perez says that Keylor Navas is highly regarded in Real Madrid but it doesn't look like it
The summer transfer window reached its conclusion on September 1st and in that day there was a transfer that almost took place but fell short at the last minute and this failed transfer still continues to have an effect in the world of football. Just as everything appeared to be clear and ready for David de Gea to make his move to Real Madrid, reports emerged claiming that the deal could not be completed in time due to some documents not being delivered in time to the proper authorities.
David de Gea was the man that Real Madrid has been attempting to sign for some time now and failed to sign him in the summer transfer window which recently shut down. If this deal had indeed been completed then David de Gea would have joined Real Madrid for a transfer fee of around €30 million. Keylor Navas was also involved in this transfer as the Costa Rican shot-stopper was going to be transferred to Manchester United as part of the transaction. €30 million and Keylor Navas was the price that Real Madrid was willing to pay in order to sign David de Gea. The 28 year old Costa Rican player was being used as bait to lure in another player.
The transfer never got completed and now Keylor Navas will continue his career with Real Madrid and even though he was an expendable player for Real Madrid, Florentino Perez stated that Navas is highly regarded and praised in the team. When Perez was questioned about the current situation involving Keylor Navas, the president of Real Madrid replied by saying: 'I have no doubt that he will be very good for us, this season too. The fans love him very much; he's highly regarded by the club and the coach. He's in a condition to play". Continue reading "Florentino Perez says that Keylor Navas is highly regarded in Real Madrid but it doesn't look like it" →
Paris St Germain confirms interest in Angel di Maria
Posted on October 1, 2015 by index
Paris St Germain have finally confirmed their interest in star winger Angel di Maria. The Manchester United man has been widely linked with an exit at just 12 months after his arrival at Old Trafford. Di Maria is the club record signing at United. Despite starting his life at Old Trafford in the best possible circumstances, his form began suffering in the second half of the campaign.
Towards the end of the season,Di Maria was relegated to being a bit part player in the team. The situation does not seem to have improved even into the pre-season. Manager Louis van Gaal has failed to quell the speculation around Di Maria. In fact, he has stated that the future of the winger still remains uncertain, but he is hoping that he remains at Old Trafford. PSG have been credited as the only club interested in the Argentine. They were interested in signing him even before he moved to Manchester.
Now, though, the French champions are keen on taking advantage of the uncertainty by offering United a substantial transfer fee. Even though it would represent a loss on the £ 60 million that they paid to Real Madrid, United would rather sell him than keep an unhappy player. Continue reading "Paris St Germain confirms interest in Angel di Maria" →
Posted in AC MilanTagged Angel di Maria, Highlights, Milan, Milano
AC MILANAFTER SEVILLA MIDFIELDER
Pep Guardiola dismisses the recent speculation linking him with Juventus
Piatek Sets a Record for AC Milan
GATTUSO HITS OUT AT TRANSFER SPECULATION
INZAGHI SENT OFF AFTER CELEBRATING EQUALIZER
Elitemilanoblog.com

redpajama_set_name: RedPajamaCommonCrawl


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Toyota is Now Testing New Prius That Uses Ultra-Thin Solar Panels to Charge Batteries On the Go
Toyota has begun testing a new Prius model that uses ultra-thin solar panels to eliminate the risk of a car running out of juice on the road.
The company announced earlier this week that they plan to commence public road trials from late July 2019.
The trials, which will be conducted in collaboration with the New Energy and Industrial Technology Development Organization (NEDO) and electronics corporation Sharp, aim to assess the effectiveness of improvements in cruising range and fuel efficiency of electrified vehicles equipped with high-efficiency solar batteries.
To facilitate the execution of this trial, Sharp modularized its high-efficiency solar battery cells (with conversion efficiency of 34%), previously developed for a NEDO-led project, to create an onboard solar battery panel.
The solar battery cell is a thin film about 0.03 mm in thickness, which makes it possible to efficiently install to fit the curves of vehicle parts with limited space.
Toyota then installed this panel on the roof, hood, rear hatch door, and other parts of its "Prius PHV" and produced a demo car for public road trials. By enhancing the solar battery panel's efficiency and expanding its onboard area, Toyota was able to achieve a rated power generation output of around 860W, which is approximately 4.8-times higher in comparison with the commercial model Prius PHV (equipped with a solar-charging system).


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Shappy Song Quotes & Sayings
Showing search results for "Shappy Song" sorted by relevance. 500 matching entries found.
Facebook Status
Songs Song Music
Singers And Singing
Cute Love
Missing Someone
Being Annoyed
Longtime Friend
Famous Love
When I was a child, ladies and gentleman, I was a dreamer. I read comic books, and I was the hero in the movie. So every dream I ever dreamed has come true a hundred times...I learned very early in life that: Without a song, the day would never end; without a song, a man ain't got a friend; without a song, the road would never bed -- without a song. So I keep singing my song.
Books quotes
I learned very early in life that: "Without a song, the day would never end; without a friend, a man ain't got a friend; without a song, the road would never bend- without a song" So I keep singing a song.
Songs quotes
What song do I like to sing at karaoke? Well, it used to be...what's that song? Holy crap, I can't remember the song...what was that I used to sing, 'Any Man Of Mine' a country song.
Allison Mack
But the reality is when you write a song, you should be able to strip away all the instruments and just have a song right there with an acoustic guitar and a voice, and the song should be good.
Each member does whatever they want with the song and it totally changes it from whatever idea I hear around it. It turns it into a Sonic Youth song and completely away from it being a solo song.
Thurston Moore
What Madonna did with that song was to make the visual sell of the song maybe even more important than the song itself. And that was a revolution that has lasted for 20 years and counting.
Mark Harris
was reading a book. It was about a canary. Every year the canarycomes back with a new song. It never repeats its song in its lifetime. If a bird does it, we should certainly be able to do that: a new song for every season.
Medeski Martin And Wood
Well, Neighbours wanted to do a song on the show, and they asked me what songs I had. I told them I'd just written this song, called Born to Try, and I had just gone overseas and spoken to some people from Song about it.
A song must move the story ahead. A song must take the place of dialogue. If a song halts the show, pushes it back, stalls it, the audience won't buy it; they'll be unhappy.
Dorothy Fields
For music, unlike a $500 software program, people are paying a buck or two a song, and it's those dollars and pennies that have to add up to pay for not just the cost of that song, but the investment in the next song.
Hilary Rosen
If life was a song, would you spend most of it worrying about how it ended? If life was a song, would there be meaning in the sound? If life was a song, would you, please, sing it with me?
Cute Life quotes
Worry quotes
Meaning quotes
Companionship quotes
Support quotes
When I first started at 17 in Los Angeles, the hit song was 'Complicated', and everyone wanted me to write a 'Complicated', I'm like, look that's Avril, this is me. Everybody loves that song - hopefully everyone will love my song.
I want my careless song to strike no minor key; no fiend to stand between my body's Southern song - the fusion of the South, my body's song and me.
Margaret Walker
When we went to cover it I thought we would change it to a song of loving and longing instead of the s.. machine song Kylie turned it into. I've met Kylie and told her we were covering her song and she was pleased.
I think its a natural progression for bands to evolve. People say were an amalgamation of all these genres but back in the day we used to play like a hip-hop song, a jazz song, a rock song: it was really extreme. I think we eventually found a style we were comfortable with and solidified.
Gym Class Heroes
The song is the center ; the song is the key. If you don't have a good song you don't have anything by my value.
You could write a song about some kind of emotional problem you are having, but it would not be a good song, in my eyes, until it went through a period of sensitivity to a moment of clarity. Without that moment of clarity to contribute to the song, it's just complaining.
I write when I have to; I write when the song is done and I deal with the idea and I just go with it and I'll become what that song is all about until I have finished it. And when you do that, it makes the song more visual, it makes it more personal.
Steve comes out of left field, he's one of a kind, ... Rob (guitar) contributed greatly to a black metal tone of the song with his guitar parts over the blast beat sections, and Matt with his picking style. Each guy had their own staple on how their parts of the song should go, all of which helped with the overall feel of the song.
When I sit down with a guitar to write a song, or when going into a recording studio, the focus is really on one thing: 'How will this song work on stage night after night?' I think about that every time I write something and every time I record a song.
Being Confident
Being In Love
Fathers Day Wishes
Heart Touching
Meaningful Life


How can I reconcile impressions of the nature of God from the Old and New Testaments?
What is the best way to give children financial training?
The Church of Jesus Christ of Latter-day Saints has always been a Bible-believing church, holding that the Bible contains the word of God as delivered to ancient prophets. The Prophet Joseph Smith stated that one can "see God's own handwriting in the sacred volume: and he who reads it oftenest will like it best, and he who is acquainted with it, will know the hand [of God] wherever he can see it" (Joseph Smith, Teachings of the Prophet Joseph Smith, sel. Joseph Fielding Smith, Salt Lake City: Deseret Book Co., 1977, p. 56).
Of course, Joseph Smith also stated that the Bible had not been preserved in its original purity: "We believe the Bible to be the word of God as far as it is translated correctly" (A of F 1:8). The word translated as it is used here must be understood to include the idea of transmission. That is, error has occurred not only in the translation from one language to another, but also in the transcription of the text from manuscript to manuscript, even in the same language. The Bible has apparently suffered mostly from omissions—it is not particularly erroneous, but many important items are missing, and this in turn leaves some parts unclear.
The Book of Mormon identifies the Bible as the record of the Jews and makes several assertions concerning the Bible: prophets wrote it through inspiration; originally, it was easily understood; through the centuries many plain and precious things have been lost from it. The Book of Mormon also records prophecy that the lost parts of the Bible would be restored. Indeed, many of the "plain and precious things" have again been made known through heavenly manifestations to Joseph Smith; through the coming forth of the Book of Mormon, the Doctrine and Covenants, and the Pearl of Great Price; and through Joseph Smith's translation of the Bible.
Clearly, the Restoration did much to make the Bible understandable and complete, but the converse is also true. The Bible played a unique and indispensable role in the Restoration. This is particularly evident in the restoration of many fundamental doctrines of the gospel.
"I was one day reading the Epistle of James, first chapter and fifth verse, which reads: If any of you lack wisdom, let him ask of God, that giveth to all men liberally, and upbraideth not; and it shall be given him.
In response to his prayer, Joseph experienced one of the greatest spiritual manifestations of all time, in which he saw and talked with both the Father and the Son. Among other things, the First Vision taught Joseph that there is a God who hears and answers prayers, that the Father and the Son are separate beings, and that they are in the form of a man. He also learned that the true Church of Jesus Christ was not at the time upon the earth. All of these fundamental principles of the restored gospel are linked historically and theologically with the Bible through James 1:5 and the First Vision.
About three years after the First Vision, the Prophet received several visits from the angel Moroni. Although the central theme of Moroni's message to Joseph Smith appears to be the coming forth of the Book of Mormon, Moroni also quoted and explained numerous passages from the Bible. This appears to have been primarily for the purpose of orienting the young Prophet in the Lord's plan for the last days.
The First Vision and the instruction of Moroni thus greatly enlarged Joseph Smith's understanding of the Bible—he knew it was divinely inspired, but he also knew that certain passages should be rendered differently in order to convey the original meaning.
In the task of translating the Book of Mormon, the Prophet had first-hand experience with the difficulty of accurately rendering a passage from one language into another. It was only by the influence of the Spirit and through the "gift and power of God" that a correct translation could be made—and considerable effort and thought was still required from the translator.
This difficulty in conveying the true intent of scripture may account, in part at least, for the frequent use of King James Version language in the Book of Mormon translation.
The Bible was not the source of the information in the Book of Mormon, but the literary style of the Bible was apparently used as a vehicle to convey many of the concepts in the Book of Mormon. The hundreds of verses in the Book of Mormon that are similar in language and style to the King James Version illustrate the Bible's influence in this phase of the Restoration.
The word Bible appears only once in the Doctrine and Covenants (D&C 42:12); however, there are many allusions and references to the Bible and much that is in the Doctrine and Covenants is closely allied to the Bible.
There is also much biblical phraseology in the Doctrine and Covenants; for example, section 133 [D&C 133] is similar in content and language to Isaiah 63 and 64 [Isa. 63–64]. One cannot be familiar with the Doctrine and Covenants and the Bible without being aware that both books support each other, and are tied together at key points by subject matter and phraseology. Indeed, the revelations contained in the Doctrine and Covenants are a strong witness for the truth and worth of the Bible.
Two major portions of the Pearl of Great Price—the book of Moses and the twenty-fourth chapter of Matthew [JS—M 1]—are actually extracts from Joseph Smith's translation of the Bible (discussed below). Thus, sizable portions of this standard work are also closely related to the Bible.
Early in the Prophet's ministry the Lord instructed him to make a revision, or as he termed it, a "translation" of the Bible. This was not to be a translation in the usual sense, employing a knowledge of biblical languages, use of ancient manuscripts and the usual procedure and paraphernalia of the scholar, but rather a translation in which Joseph Smith would discern the true intent of the Bible through revelation. It is now known as the Joseph Smith Translation—or JST.
"Wherefore I give unto you that ye may now translate it, that ye may be prepared for the things to come.
It is evident from the foregoing passage that the Prophet's translation of the Bible was not to be limited to a correction of passages based on revelation and knowledge he had already received, but was to be the means by which he would receive new revelation on matters that had not yet been made known to him. Plain and precious things were to be restored. This concept gives an importance and a dignity to the Prophet's work with the Bible that is frequently overlooked, and it forms an inseparable link between the translation of the Bible and the restoration of gospel doctrine in this dispensation.
The following topics are fundamental elements of the restored gospel that were revealed to the Prophet as he translated the Bible.
This answers the why. The early chapters of Genesis tell how. This revelation is an introduction to Genesis, and without it Genesis loses some of its perspective.
Adam: Adam holds a special place in the theology of the Latter-day Saints, and much of the particular information about Adam, his immediate family, and his introduction to the gospel is found in the Prophet's translation of Genesis. This is now published as Moses 3–7 in the Pearl of Great Price and Genesis 2–7 in the JST [JST, Gen. 2–7]. Adam's faithfulness in offering sacrifice, his diligence in teaching his children, his pure language, his baptism, and other important doctrinal and historical points are made known in the Joseph Smith Translation of the Bible.
Cain and Satan: Not only were great things revealed to the Prophet about God and about the righteous patriarchs of the early ages, but the translation of the Bible also gives much about Cain's rebellion and his secret oaths with Satan and many of the children of Adam. Much of our present knowledge of Cain came to us through the Prophet's translation of the early chapters of Genesis as published in Moses 5 and JST Genesis 4 [JST, Gen. 4].
The age of accountability of children: One of the fundamental and best-known doctrines in the Church today is that little children do not begin to be accountable before God until they reach the age of eight. The Book of Mormon is very clear in specifying that little children are innocent before the Lord, but it does not specify at what age they begin to become accountable. The age of eight years for the beginning of accountability is mentioned in Doctrine and Covenants 68:25, 27 [D&C 68:25, 27] (dated November 1831) and is the reference usually referred to for information on the subject.
Gen. 17:7: And I will establish my covenant between me and thee and thy seed after thee in their generations for an everlasting covenant, to be a God unto thee, and to thy seed after thee.
The relationship between circumcision and baptism is not explained, but the Prophet's translation definitely states what the age of accountability is.
Of special importance is that the date upon the Prophet's manuscripts for this particular passage in the Bible shows that the concept of an eight-year-old accountability was known to the Prophet at least as early as 5 April 1831, or at least five months before it is mentioned in the revelation now identified as Doctrine and Covenants 68 [D&C 68]. This very significant doctrine of the gospel, then, was apparently first made known to the Prophet while he was translating the seventeenth chapter of Genesis and is another example of the Bible's significant role in the restoration of the gospel in this dispensation.
"Now this caused us to marvel, for it was given unto us of the Spirit.
The revelation that followed is one of the most frequently discussed subjects by members of the Church and constitutes one of the great visions of this dispensation. In fact, it is frequently designated as "The Vision" in Church literature. The Prophet called it "a transcript from the records of the eternal world" (Teachings, p. 11). It is noteworthy that the setting for this revelation was the Prophet's translation of the Bible.
The celestial order of marriage: Another significant feature of the restored gospel that appears to be directly associated with the Bible is the doctrine of celestial marriage. It is a well-attested fact that this subject was known to the Prophet Joseph several years before it was committed to the written document now identified as Doctrine and Covenants 132 [D&C 132]. Several of the early brethren testified that they heard the Prophet speak of this subject as early as 1831 or 1832. Since this is the same period that the Prophet was translating Genesis, and since the beginning verses of the revelation on marriage speak of the Prophet's inquiry of the Lord about Abraham, Isaac, and Jacob, it seems likely that the revelation on celestial marriage was associated with Joseph Smith's translation of the Bible.
Thus we see that several significant doctrines revealed in this dispensation are inseparably connected with Joseph Smith's translation of the Bible. Few subjects are more prominent in the gospel than the age of accountability, the building of Zion, Adam's role in the gospel plan, the degrees of glory, and the doctrine of celestial marriage.
It is likely that other important items also were revealed to the Prophet in connection with his work of translating the Bible. There is some evidence that much of what the Prophet knew about the ancient patriarchs, ancient councils and Church organizations, and other topics were revealed to him in the context of this work.
The real product of the Prophet's work with the Bible, then, is not simply the manuscript that constitutes the JST, but also the many revelations and spiritual experiences that came to the Prophet (and from him to the Church) as a result of his work with the Bible. Both the manuscript of the JST and the additional revelations are important, but of these it would seem that the multitude of the specific revelations on doctrine are of the greatest significance. These give increased knowledge and clarity to items on priesthood, resurrection, pre-mortal existence and such things, and also enrich our understanding of the ministries of Jesus, Adam, Enoch, Melchizedek, Abraham, Paul, Peter, and John the Baptist. One can hardly have a clear perspective of the biblical record without these revelations.
Without doubt, the Bible played an essential role in the restoration of the gospel.
The dating of the translation of these chapters is obtained from the original manuscript prepared by the Prophet and his scribes. Courtesy of the Historian, Reorganized Church of Jesus Christ of Latter Day Saints, Independence, Missouri.
The dating of the translation of this passage is obtained from the original manuscript prepared by the Prophet and his scribes. Courtesy of the Historian, Reorganized Church of Jesus Christ of Latter Day Saints, Independence, Missouri.
Robert J. Matthews, associate professor of ancient scripture at Brigham Young University, serves on the Church Correlation Committee.


I love an easy project and this one was created out of necessity since all the pjs Anja got for Christmas were too big for her to wear now. This flannel peasant-style nightshirt features raglan sleeves and a drawstring tie back in my current colour crush of grey and yellow. I made it a nightshirt, but of course, it's easy to lengthen into a nightgown or maybe even add a pretty ruffle at the bottom.
Cut two of front & back on the fold.
Cut two sleeves on the fold.
Cut a little piece of contrasting fabric for the back tie openings.
Sew the sleeves to the front and back.
Sew the little back piece to the centre of the back and sew in a squared off U-shape. Cut down the middle being careful not to snip any stitches.
Iron the edges of the contrasting fabric, then finish/serge the neck edge. Turn to the wrong side and stitch the edges of the contrasting piece, adding a tag if you have one.
Fold over neck edge and stitch.
*this photo was taken after I'd already added the ties...oops!
Add bias tape or ribbon ties. I made my own...here's a tutorial.
13 comments on "Nightie Nightshirt Tutorial"
SO precious! Love that pic of her sleeping!
So adorable! I bet it's so soft too. Cute!
Aww, cute! I made something similar to this when my oldest was 1, but I used elastic in the neckline instead of a drawstring.
that is such sweet fabric - and I like the little pop of yellow in the facings and ties!
This is so cute! And the flannel is adorable. Definitely pinning it!
I don't ever think about making flannel pj tops for my kids because the buttons, piping, collars, etc. scare me a little. But making the pajama tops in an easy peasant style but still out of flannel...I've never thought of doing this before. Thanks so much for the inspiration! Happy New Year!


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GRAEME JEFFERIES AND THE CAKEKITCHEN BIO
The Cakekitchen comes from the stable of "New Zealand" bands from the 1980s and has released a large amount of material into the international marketplace via labels such as Flying Nun, Homestead, Merge, Raffmond, and Haus Musik. The brain child of Taranaki born New Zealand songwriter Graeme Jefferies, "The Cakekitchen" is more a song writing and recording project than a live "meat and potatoes" band but has never the less put together live ensembles to occasionally represent the material in a live context.
Graeme has a small mobile studio of fairly vintage recording equipment that he manages to ship around the world on palettes to which ever country he wants to write songs in. He has lived in and written songs in England, France, Holland and Germany. Like Graeme's earlier recording project "This Kind of Punishment", The Cakekitchen's music is primarily recorded in houses and hallways without any form of deadline, rather than in big studios over a few weeks.
It champions the no longer widely used ethic of making records in the "Teac four track" style of recording. Instruments and song texture can be widely varied from song to song and instruments can change on a dime inside of the context of the actual song structures themselves. Albums are slowly accumulated over a "period of years", their contents drawn from a fairly constant stream of songwriting and improvising.
Sounds from the environment, such as "water and wind" often appear in the music and are of equal importance in achieving the desired effect as a "cello or viola" part. Graeme plays a wide variety of instruments and often plays everything himself. Other times he enlists the help of a hand picked group of friends and musicians. Performances also vary considerably and can just be a "solo show", with Graeme playing a number of different instruments himself or a group outing involving "three or four other people".
Musicians who have added their ingredients to the baking of these projects include respected Auckland drummer Robert Key, multi instrumentalist Markus Acher, French musician Jean-Yves Douet, Michael Heilrath, and novelist Rachael King. Alastair Galbraith, Hamish Kilgour, Belgian violinist Dieter Rooseuw and Brett Jones from the "Nocturnal Projections" have also hopped in and out of the stew.
© Cakekitchen 2020