Whether you are buying your first home, buying a bigger home, downsizing, buying a property to let for investment purposes, remortgaging or transferring the ownership of an existing property, we provide a personal, friendly, efficient and prompt service.
We will provide you with an estimate of our charges and disbursements before we undertake any work from you and unless any unforeseen circumstances arise, the estimated costs will be the actual costs paid by you.
If the matter does not proceed to a completion through no fault of your own, then we will not charge for our services for any works carried out for you, and we will only charge you for disbursements that we have paid on your behalf, i.e. searches, identity checks etc.
Our fees are very competitive for the quality of service provided due to our low overheads.
We will ask you to confirm that you are happy with our estimate, before we begin working on the transaction on your behalf.
We will deal with the Estate Agents and Mortgage Companies on your behalf throughout the transaction, and will keep all parties informed of progress.
Your file will be reviewed regularly and you will be updated by your preferred method, whether it be, by telephone, e-mail or letter.
Homden Property Lawyers was incorporated in January 2009, at the height of the recession. After being made redundant from the Law firm that she was working for at that time, Lorraine Homden started the practice on her own, and by 2010 was very happy to be employing other people to assist with the workload. Homden Property Lawyers is a small family run business and is operated from Lorraine's home where offices have been built to accommodate staff and clients. As a result of working from home we are able to offer an out of hour service to clients, on the telephone, emails and seeing clients to suit their needs after working hours when required. We have grown from strength to strength and are now happy to say that we employ 8 Staff and are very keen to also employ Trainees to give them the opportunity of progressing with a career in the Law. We are very proud of what we have achieved at Homden Property Lawyers and now have a considerable client base, most of which have come from client recommendations. We also work for local Mortgage Brokers and Agents, and pride ourselves on the service and commitment that we provide to our clients and Agents, Brokers and other Solicitors.
We are aware that buying and selling houses is an extremely stressful and emotional time for people and we do our very best to take the stress away, and to deal with each transaction as efficiently and quickly as we possibly can to suit each individual clients' needs.
We are hoping to continue growing as we have done in the last few years and to continue offering the level of service and commitment that we provide to our clients.


Greece's Z&G Halcoussis has purchased at least one of two supramaxes that Turkey's Densan was reported to have sold last month.
The Piraeus-based company has emerged as the buyer of the 58,700-dwt Veronique D (built 2012), which brokers reported sold for $16m. It has been renamed Almar.
Densan was reported to have sold the Veronique D, as well as its sistership Anjelique D, in an enbloc deal to unidentified Greek interests for a total of $32m. The Nantong Cosco KHI Ship Engineering-built duo were Densan's last two bulkers.
Istanbul-based Densan did not respond to requests for comment at the time of the deal.
Z&G Halcoussis has yet to clarify whether it has bought just the Veronique D, or picked up the Anjelique D as well.
The traditional Greek player has not bought a ship on the secondhand market for almost five years.
Its last purchase was in June 2014, when Z&G Halcoussis acquired the 82,900-dwt Mokpo Star (built 2012).
The vessel was renamed Alexandria, after the birthplace of George and Zannis Halcoussis, who founded the company in 1964.
The company's move to buy another vessel now shows it is firmly on an expansion course. The Veronique D apart, Z&G Halcoussis is about to take delivery of a 85,000-dwt kamsarmax newbuilding from Japan's Sasebo Heavy Industries.
The vessel, identified as Hull No S858, will become the only Japanese-built ship in the company's stable, which consists of two kamsarmaxes and three supramaxes.


Police are seeking to extradite him back to Queensland.
A man has been arrested in northern New South Wales after a 22-year-old woman was abducted from her Brisbane home on Monday night in a 17-hour ordeal.
Police are seeking to extradite the 50-year-old man back to Queensland on Wednesday, where he will be charged with kidnapping, deprivation of liberty, assault and other charges.
It's alleged that the man broke into the woman's home on Cardiff Street in the Brisbane suburb of Darra at 8pm on Monday night and kidnapped her.
The young woman told police that she was driven to several locations and assaulted and threatened with further violence before being released at around 1:30pm on Tuesday afternoon.
The Brisbane woman was taken to hospital for non-life threatening injuries.
The alleged attacker is expected to appear in Brisbane Magistrate's Court on Wednesday following his extradition.


Rwandair has appointed APG China as its GSSA. Under the agreement, APG China will provide full sales and marketing services to the extensive Chinese market as well as providing customers and travel agents with call centre and reservations assistance. Rwandair is the flag-carrier of Rwanda which operates domestic and international services to East Africa, Central Africa, West Africa, Southern Africa and the Middle East from its main base at Kigali International Airport.


As a listing agent I believe there are 3 main factors that must be controlled to successfully sell your home.
This is the absolutely most critical factor. A home that is price correctly for its condition given the current market conditions should sell in a reasonably quick time. I have built a custom pricing worksheet that takes into account recent sales, current active and pending listings, sale price vs appraised value, and off market properties. It is important these comparable properties be as similar in style, location, amenities, and terms. I also calculate above grade and below grade square footage separately as an appraiser would do. My Total Market Overview gives an accurate snapshot of the current market then I apply my experience to properly price your real estate.
I do not leave any stone unturned when it comes to marketing my listings. The first step is to gather any and all pertinent data about the property so I can accurate and professionally market its attributes to the public. I use professional photography and staging so the property shows in its finest light. I take the time to fill in all search fields on the MLS and use every available resource to market the property to other Realtors. I believe in putting my client's property in front of as many people as possible on real estate sites such as Truilia, Realtor.com, Zillow and I take full advantage of Social Media to spread the word. I also use a Listing Booster to create easy to use QR codes and dedicated websites and text messaging so buyers can conveniently call from the yard sign.
The Agent - The agent is the glue that holds everything together. I will help you thru the entire process from list to close. I have been schooled in negotiating at Harvard University and Kellogg School of Management and I have several years of experience to negotiate a fair price for your home. I have chosen to work primarily by referral allowing me to focus on the needs of my client and I value creating and maintaining lasting relationships. The relationship is more important that the transaction for me. My goal is to sell your property for the most amount of money in the least amount with the least amount of inconvenience to my clients. I have a completely honest and straightforward approach to serving my clients and managing your expectations because I want to be your real estate expert for life.


text:
Soccer-Injuries, COVID cases at Norwich force League to postpone Leicester game
30 December 2021, 3:17 pm ·1-min read
Premier League - Crystal Palace v Norwich City
(Reuters) - Norwich City's Premier League game at Leicester City on Saturday has been postponed due to COVID-19 cases and injuries in the Norwich squad, leaving them with insufficient players to fulfil the fixture, the league said on Thursday.
It is the 17th Premier League match to be postponed due to COVID-19 cases and injuries this month.
"The Board accepted Norwich's application as the club do not have the required number of players available for the match (13 outfield players and one goalkeeper), due to COVID-19 cases and injuries," the league said in a statement.
Norwich had their game at West Ham United postponed due to COVID-19 cases, injuries and illness reported among players and staff, while Leicester had matches against Tottenham Hotspur and Everton postponed due to coronavirus cases among their players.
"Those individuals who have returned a positive COVID-19 test result are completing a period of self-isolation, as per Premier League protocols and government guidelines," Norwich said.
"The club regrets any inconvenience caused to Leicester City and both sets of supporters."
The Premier League only grants a postponement if a club has fewer than 14 players -- 13 outfield players and one goalkeeper -- available, with the board examining requests on a case-by-case basis.
Norwich are bottom of the table on 10 points after 19 matches, three points adrift of the safety zone. Leicester are ninth on 25 points after 18 matches.
The United Kingdom reported a record 183,037 COVID-19 cases on Wednesday -- over 53,000 more than the previous highest figure registered just a day earlier as it continues to battle a surge in infections fuelled by the Omicron variant.
(Reporting by Manasi Pathak and Rohith Nair in Bengaluru, editing by Pritha Sarkar)
Crocodile found under classroom becomes local celebrity
PM: Russian incursion into Ukraine would be 'disaster'
Boris Johnson says a Russian incursion into Ukraine "on any scale" would be a "disaster for the world". The prime minister was responding to a question about US President Joe Biden's remarks in a press conference where he suggested that a minor Russian incursion into Ukraine would not be met by harsh sanctions.
Pictured: enormous pristine coral reef discovered off the coast of Tahiti
A "magical" coral reef stretching as far as the eye can see has been discovered off the coast of the South Pacific island Tahiti.
UK military shipments arrive in Ukraine amid heightened tensions on Russian border
Boris Johnson and Sajid Javid face pressure from MPs and some clinicians amid staffing crisis

redpajama_set_name: RedPajamaCommonCrawl


« What if you threw a hurricane season and nobody came?
at least one unstable person to show you care.
Well, my job is done !!
This entry was posted on Monday, December 4th, 2006 at 2:33 pm	and is filed under Family. You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed.
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text:
'Affirmative consent' policy now required at all California colleges
October 17, 2014 February 25, 2020 The Guardsman new, Ending, affirmative consent, city college, colleges, sexual assault, San Francisco Community College, california, Project, CCSF, Survive, Gov. Jerry Brown, a peer education program, Brown, Leslie Simon, policy, WOMN 54, bill, Sexual Violence, jerry, WOMN55
Protesters march against sexual assault. (File photo by Francesca Alati)
By Kristie Barlas
A new bill signed by Gov. Jerry Brown on Sept. 28 requires all California colleges and universities to adopt sexual assault policies that include an "affirmative consent" standard in order to receive state funds for student financial assistance.
Senate Bill 967 would require all California post-secondary campuses to adopt and implement new policies concerning sexual assault, domestic violence, dating violence, and stalking that adhere to the bill's requirements.
The college has a sexual assault policy , but is currently updating the policy to meet the new requirements according to the new bill. Campus police are enforcing the old policy and investigating their role in the most recent one.
Campus Public Relation Officer Tiffany Green said that when a sexual assault incident is called in they report it to the San Francisco Police Department.
"When someone comes to report it, we'll take the report, we'll investigate it and we'll forward it to SFPD," Green said. "A sexual assault is a sexual assault, and we understand there is a new definition in regards to the victim and what they say and how they consent."
University of California President Janet Napolitano announced the bill voluntarily approved the funding for establishing an independent program created for every campus to support sexual assault victims.
Perhaps the most distinct item defined in the new bill asks for an "affirmative consent" standard that is defined as "affirmative, conscious, and voluntary agreement to engage in sexual activity."
The San Francisco Community College District's Policy on Sexual Assault on Campus is consistent with Senate Bill 967's.
Both state that consent requires a clear "yes", can be revoked at any time, cannot be assumed by lack of protest, and cannot be made from someone mentally or physically incapacitated.
City College also fulfills the requirements of informing incoming students of educational and preventative information during orientation and by offering presentations on sexual violence prevention at Student Health Services.
Project SURVIVE, a peer-education program on campus, trains students to make classroom presentations on promoting healthy relationships.
According to Project Survive Coordinator Leslie Simon, students can become peer educators by enrolling in two courses: WOMN 54, "The Politics of Sexual Violence" and WOMN 55, "Ending Sexual Violence: Peer Education." Students may also become eligible for the Sexual Health Educator Certificate.
Their main focus is to put a stop to sexual violence. They provide resources and information concerning numerous issues like sexual assault, domestic violence and rape.
Amber Straus, acting coordinator for Project SURVIVE said they do roughly 200 in-class presentations a year on campus as well as presentations in 9th grade high school health classes around San Francisco.
"Project SURVIVE has been doing preventative work for over 20 years now and we will continue to do so," Straus said. "We do in class presentations and share information on local agencies that are able to support students."
Project SURVIVE is celebrating their 20th anniversary this month and will be showcasing testimonials from peer educators on how Project SURVIVE saved them. The exhibit is located at the Learning Resource Center on the 2nd floor of Rosenberg Library.
← City College officials consider arming campus police
San Francisco trolley dancers land at City College →


text:
from sru import SRU
import torch
from torch import nn
import numpy as np

def test_packed():
    N = 5
    max_len = 7
    V = 32
    K = 8
    K_out = 11

    print('N', N, 'max_len', max_len, 'K', K, 'K_out', K_out)

    torch.manual_seed(123)
    np.random.seed(123)
    lengths = torch.from_numpy(np.random.choice(max_len, N)) + 1
    tensors = [torch.from_numpy(np.random.choice(V, l, replace=True)) for l in lengths.tolist()]
    embedder = nn.Embedding(V, K)
    tensors = nn.utils.rnn.pad_sequence(tensors)
    print('tensors.size()', tensors.size())
    embedded = embedder(tensors)
    print('embedded.size()', embedded.size())
    packed = nn.utils.rnn.pack_padded_sequence(embedded, lengths, batch_first=False, enforce_sorted=False)
    print(isinstance(packed, nn.utils.rnn.PackedSequence))

    sru = SRU(K, K_out)
    out1, state = sru(packed)
    out1, lengths1 = nn.utils.rnn.pad_packed_sequence(out1)
    print('out1.size()', out1.size())
    assert (lengths != lengths1).sum().item() == 0
    print('out1.sum()', out1.sum().item())

    # change one of the indexes taht should not be masked out
    tensors[6, 1] = 3
    embedded = embedder(tensors)
    packed = nn.utils.rnn.pack_padded_sequence(embedded, lengths, batch_first=False, enforce_sorted=False)
    out2, state = sru(packed)
    out2, lengths2 = nn.utils.rnn.pad_packed_sequence(out2)
    assert (lengths != lengths2).sum().item() == 0
    print('out2.sum()', out2.sum().item())
    assert out2.sum().item() == out1.sum().item()

    # change one of the indexes taht should be masked out
    tensors[1, 1] = 3
    embedded = embedder(tensors)
    packed = nn.utils.rnn.pack_padded_sequence(embedded, lengths, batch_first=False, enforce_sorted=False)
    out3, state = sru(packed)
    out3, lengths3 = nn.utils.rnn.pad_packed_sequence(out3)
    assert (lengths != lengths3).sum().item() == 0
    print('out3.sum()', out3.sum().item())
    assert out3.sum().item() != out1.sum().item()

def test_gru_compatible_state_return():
    N = 5
    max_len = 7
    V = 32
    K = 8
    K_out = 11
    num_layers = 3
    bidirectional = True

    print('N', N, 'max_len', max_len, 'num_layers', num_layers, 'bidirectional', bidirectional, 'K', K, 'K_out', K_out)

    torch.manual_seed(123)
    np.random.seed(123)
    lengths = torch.from_numpy(np.random.choice(max_len, N)) + 1
    tensors = [torch.from_numpy(np.random.choice(V, l, replace=True)) for l in lengths.tolist()]
    embedder = nn.Embedding(V, K)
    tensors = nn.utils.rnn.pad_sequence(tensors)
    embedded = embedder(tensors)

    sru = SRU(K, K_out, nn_rnn_compatible_return=True, bidirectional=bidirectional, num_layers=num_layers)
    out, state = sru(embedded)
    print('out.size()', out.size())
    print('state.size()', state.size())

    gru = nn.GRU(K, K_out, bidirectional=bidirectional, num_layers=num_layers)
    gru_out, gru_state = gru(embedded)
    print('gru_state.size()', gru_state.size())

redpajama_set_name: RedPajamaGithub


When her city falls to the Greeks, Briseis's old life is shattered. She is transformed from queen to captive, from free woman to slave, awarded to the god-like warrior Achilles as a prize of war. And she's not alone. On the same day, and on many others in the course of a long and bitter war, innumerable women have been wrested from their homes and flung to the fighters. The Trojan War is known as a man's story: a quarrel between men over a woman, stolen from her home and spirited across the sea. But what of the other women in this story, silenced by history? What words did they speak when alone with each other, in the laundry, at the loom, when laying out the dead? In this magnificent historical novel, Pat Barker charts one woman's journey through the chaos of the most famous war in history, as she struggles to free herself and to become the author of her own story.


text:
\section{Introduction}\label{sec1}
In the interdisciplinary, unifying work \cite{cr93} on  structure
formation in driven dissipative systems ferromagnets are only treated
in exceptional cases. This is surprising as ferromagnets exhibit
already in static fields  domain structures
which are well understood
(for reviews see \cite{dom}) and
which  even serve as textbook examples \cite{textbook}.
Dynamical questions
have  also been investigated. This has been done by extending
the research \cite{dom} to weak driving fields
(compare e.g.\cite{domlin}). For stronger driving fields
numerous work (reviewed in \cite{wigen94})  has been published
to describe the ferromagnetic resonance instabilities \cite {su57}.

Apart from single exceptions like \cite{el88}, where in simulations
dynamic domains for a special model were reported, the existing
investigations on dynamical questions are limited
to the linear or to the weak nonlinear regime.
An approach \cite{Plefka94} to analyse the strongly nonlinear dynamics
of  driven ferromagnets in terms of structure formation has
recently been proposed by the present author. In this approach
a transversely driven model was investigated containing  an exchange,
an anisotropy  and a shape demagnetisation field. Numerical
simulations
exhibited in the rotating frame a stationary domain structure
with  a precessing motion  in the wall regimes.
Some of the characteristic elements of this
structure have been explained in \cite{Plefka94}
by  analytical methods. The spatiotemporal dependence
of the domain walls, however, remained unexplained.

It is the aim of the present investigations to work out analytically
an explanation of these dynamic domain walls. In sec.\ref{sec2}
the basic ingredients of the present approach are given.
After performing a transformation in
sec.\ref{sec3} a multiple time-scaling analysis is employed in
sec.\ref{sec4} to deduce  reduced equations of motion on the slow
time scale. Representing the general result of this work
these eqs. are in sec.\ref{sec5}  applied to determine
the spatiotemporal dependence of the stationary walls. In
sec.\ref{sec6}
the results are compared with the simulations of \cite{Plefka94}.
Finally in sec.\ref{sec7}  some conclusions
are given.

\section{The model and basic assumptions}\label{sec2}

At a mesoscopic scale the dynamics of ferromagnets is governed by the
Landau-Lifshitz equation, which takes the form
\begin{equation} \label{1}
\partial_t\,{\bf m}\,=-(1+ \Gamma {\bf m\times})\;{\bf m\times}\;
(h_\parallel {\bf e}_z \,
 + \, h_\perp{\bf e}_x\,- \,
\bbox{\overline{m}} \,+\, J  \Delta {\bf m}
+A m_z {\bf e}_z)
\,+ \omega {\bf m\times}{\bf e}_z
\end{equation}
in the frame rotating with
the driving frequency
$ \omega $ around the $ {\bf e}_z $ direction.
$ {\bf m}({\bf r},t) $ is the local magnetisation in the
rotating frame being
related to the magnetisation in the laboratory frame $
{\bf m}_{{\rm lab}} $
by $ {\bf m}_{{\rm lab}}\,=\, \exp
(\,  \omega  t {\bf e}_z \times \,)\,\,{\bf m} $.
The amplitudes of the external static and the external
circular driving rf field are denoted by
$ h_\parallel $  and by $ h_\perp $ ,  respectively. The term
$ \bbox{\overline{m}}\,=
\,V^{-1}\int{\bf m}\,{\rm d}V $ represents,  in reduced
units, the demagnetisation field of a sphere of volume $ V $.
The contribution  $ J  \Delta {\bf m}$  results from the isotropic
ferromagnetic exchange interaction and the uniaxial
anisotropy   is described by $ A m_z {\bf e}_z  $ where  $ A<0 $ is
assumed in this work. The Landau-Lifshitz damping
rate is represented by $ \Gamma $.
The gyromagnetic ratio and the magnitude of the magnetisation
$m\,=\, |{\bf m}|$ are set equal to 1.

$ A $ is assumed to be a small quantity  which
permits an perturbative treatment. Recall that eq.(\ref{1}) results
from a continuum approximation in space (compare \cite{Plefka93}) which
implies a slow spatial variation of ${\bf m}$.
Thus the exchange field $ J  \Delta {\bf m}$ is also
treated as a perturbation. Introducing the expansion
parameter $ \epsilon = -A >0 $ and scaling the position as
$ {\bf r}\rightarrow ( -J/A)^{1/2} {\bf r} $
the perturbational fields  of eq.(\ref{1}) $
J  \Delta {\bf m}+A m_z {\bf e}_z$
take the form $ \epsilon ( \Delta {\bf m}- m_z {\bf e}_z) $.

Due to the $ \bbox{\overline{m}}(t) $ term, the problem
described by eq.(\ref{1}) is of the mean field type and the usual
technique
can be applied. This is to employ an
ansatz for $ \bbox{\overline{m}} $, solve formally the problem for
given  $ \bbox{\overline{m}} $ and in the last step examine the results
for self-consistency.

Based of the findings of \cite{Plefka94} as ansatz
a stationary domain structure is assumed  in which the magnetisation
is constant nearly everywhere  and takes only two   values
$ {\bf m_+} $  or $ {\bf m_-} $ realised in the generally
disconnected  partial volumes $ V_+ = n_+V $
and $ V_- = n_-V $ , respectively. The  wall regimes
where  the magnetisation changes from $ {\bf m_-} $ to
$ {\bf m_+} $ are assumed to be narrow. Then
the volume  of the wall regions can be neglected
compared to the sample volume $ V $ which implies
\begin{equation} \label{1a}
{\bf \overline{m}}_{{\rm dom}}=n_+ {\bf m}_+ \;+\;n_- {\bf m}_-
\;;\quad {\rm with}\quad n_+\,+\,n_-\,= \,1\,.
\end{equation}
This work is focusing on the stationary domain solutions of
eq.(\ref{1}) .
To keep the analysis as simple as possible
${\bf \overline{m}}(t)$ is replaced by
$ {\bf \overline{m}}_{{\rm dom}}$ from the beginning.
For a justification of this ansatz it is
pointed out that already for  $ \epsilon = 0 $
relaxation of $ {\bf \overline{m}}(t) $ to
$ {\bf \overline{m}}_{{\rm dom}} $ was found in \cite{Plefka94}.

In this previous work the zeroth order contributions to $ n_\pm $
and to $ {\bf m}_\pm $ have been calculated. The perturbation
theory of this work  makes it
necessary to separate in notation between
full quantities and their contributions to the $ \epsilon $ expansion.
This is archived by generally setting $ a = \tilde{a}\, + \,\epsilon
a^{(1)} + \,{\rm O}(\epsilon^2)\,$ for an arbitrary quantity $ a $.
This rather unconventional notation of the zeroth
order contributions avoids complicated indices.
Employing this notation the results of \cite{Plefka94} take the form
\begin{equation} \label{2}
\tilde{n}_\pm\,=\; \frac{1}{2} \; \pm \frac{d w^2 + \omega u^2}{2 w v}
\quad ; \quad
\tilde{\bf m}_\pm  =\;u^{-1} ( \mp v\,  \tilde{\bf e}_1  \;
+\; \Gamma h_\perp \, \tilde{\bf e}_3  )
\end{equation}
with
\begin{equation}
\label{3}
d  =  h_\parallel -\omega \quad ; \quad
u  =  ( d^2+\Gamma^2)^{1/2} \quad ; \quad
v   = ( u^2-\Gamma^2 h_\perp^2)^{1/2}\; ; \quad
w   =  ( u^2+h_\perp^2)^{1/2}
\end{equation}
and where the transformation from the internal
orthonormal system $ (  \tilde{\bf e}_1 ,  \tilde{\bf e}_2
, \tilde{\bf e}_3 ) $ to
$ ( {\bf e}_x, {\bf e}_y,{\bf e}_z) $ is found to be given by
\begin{equation} \label{4}
 \left(\matrix{{\bf e}_x \cr {\bf e}_y \cr {\bf e}_z} \right)
= \frac{1}{u w} \left(
          \matrix{
                -d h_\perp &         -d u    & \Gamma w \cr
     \Gamma h_\perp & \Gamma u & d w \cr
         -u^2                  &   u h_\perp & 0}
    \right)
 \left(\matrix{
 \tilde{\bf e}_1  \cr \tilde{\bf e}_2  \cr \tilde{\bf e}_3 } \right)\;.
\end{equation}

With eqs.(\ref{2}-\ref{4}) and with the above replacements
eq.(\ref{1}) takes the form (compare \cite{Plefka94})
\begin{equation} \label{6}
\partial_t\,{\bf m}=-\omega w^{-1} \,{\bf m\times}
(\,u\tilde{\bf e}_1 +\, \Gamma h_\perp
{\bf m\times}\tilde{\bf e}_2) -\epsilon\,(1+ \Gamma {\bf m\times})
{\bf m\times}(\Delta{\bf m}-m_z {\bf e}_z-
{\bf \overline{m}}^{(1)}_{\rm dom})\,+{\rm O}(\epsilon^2)
\end{equation}
where $ {\bf \overline{m}}^{(1)}_{{\rm dom}}$ denotes the first order
contributions of $ {\bf \overline{m}}_{{\rm dom}}$  according to
the  convention in notation.

Eq.(\ref{6}) is the starting point for the further analysis.
Compared to eq.(\ref{1}) this eq.(\ref{6}) is constrained by
${\bf \overline{m}}(t)=
{\bf \overline{m}}_{{\rm dom}} $. Note, however, that eq.(\ref{6}) still
describes in general nonlinear deviations from
the domain state as long as these deviations are local.

The   $ {\bf m_\pm} $  have to satisfy eq.(\ref{6})  with
$ \partial_t\,{\bf m}\,=\,\Delta {\bf m}=0 $ from which
\begin{equation} \label{7a}
{\bf m}_\pm^{(1)} =
 \tilde{\bf m}_\pm  {\bf \times}
[\Gamma\,-\, \tilde{\bf m}_\pm  {\bf \times}]\,
[\,\pm \frac{w}{\omega v}{\bf \overline{m}}^{(1)}_{\rm dom}
- \frac{u}{\omega w} \tilde{\bf e}_1
 +\frac{h_\perp}{\omega w} \tilde{\bf e}_2 \,]
\end{equation}
results. Eq.(\ref{1a}) leads in first order to
\begin{equation} \label{7aa}
\overline{\bf m}^{(1)}_{\rm dom}\,=\,n_+^{(1)}\,
(\tilde{\bf m}_+\,-\,\tilde{\bf m}_-)\,+\,
\tilde{n}_+{\bf m}_+^{(1)}\,+\,\tilde{n}_-{\bf m}_-^{(1)}
\end{equation}
where the $ \tilde{\bf m}_\pm $ and the $ \tilde{n}_\pm $ are
given by eq.(\ref{2}). Note that from eqs.(\ref{7a}) and
(\ref{7aa}) the dependence of $ \overline{\bf m}^{(1)}_{\rm dom}\,,
\,{\bf m}_\pm^{(1)} $ and  of $ n_+^{(1)} $ on the model parameters
$ h_\parallel,h_\perp,\omega$ and $ \Gamma $  is not completely
determined.
For such a determination
an additional relation between these quantities is needed. Thus
at this stage of the calculation ${\bf \overline{m}}^{(1)}_{\rm dom} $
and $ {\bf m}_\pm^{(1)} $ are treated
as functions of $ n_+^{(1)} $  and of the model parameters.

\section{Transformations}\label{sec3}

In zeroth order the dynamics  described by eq.(\ref{6})
is hamiltonian \cite{Plefka94}. Thus  the dynamics should be
formulated in variables, which in the $ \epsilon = 0 $ limit reduce
to angle - action variables. The total transformation to these
variables is divided into a sequence of single transformations.
First an  orthonormal system
$ ({\bf e}_1, {\bf e}_2,{\bf e}_3) $ is defined by
$ {\bf e}_1 =(2\,b_1)^{-1}({\bf m}_-\,-\,{\bf m}_+) $ by
$ {\bf e}_3 =(2\,b_3)^{-1}({\bf m}_-\,+\,{\bf m}_+) $ and by
$ {\bf e}_2\,=\,{\bf e}_3 {\bf \times e}_1$
with $ b_1\,=\, \sqrt{ (\,1\,-{\bf m}_+{\bf m}_-)/2} $ and with
$ b_3\,=\, \sqrt{ (\,1\,+{\bf m}_+{\bf m}_-)/2} $ .  As  the
$ {\bf m}_\pm $ are the full domain magnetisations, the
definition of the $ ( {\bf e}_1, {\bf e}_2
,{\bf e}_3) $  is independent of the perturbative treatment
and  holds to all orders in $ \epsilon $.
Note that $\tilde {\bf e}_i $
are the zeroth order contributions to  $  {\bf e}_i $
in accord with the general convention.

In the next steps this $ ( {\bf e}_1, {\bf e}_2
,{\bf e}_3) $ base is first rotated about the (2)-axes
and thereafter standard spherical  coordinates $ \Theta ,\Phi $
with respect to the new (3)-axis are introduced. These
transformations are explicitly described by
\begin{equation} \label{7}
\left(\matrix{{\bf m} \cr {\bf e}_\Theta \cr
{\bf e}_\Phi} \right)=
\left(
\matrix{
\sin \Theta \cos \Phi & \sin \Theta \sin \Phi & \cos \Theta \cr
\cos \Theta \cos \Phi & \cos \Theta \sin \Phi &  -\sin \Theta\cr
-\sin \Phi            & \cos \Phi             &   0  }
    \right)
 \; \left(
\matrix{
b_3\,\cos \Theta &         0   & - b_3 \, p(\Theta)    \cr
               0 &         1   &   0    \cr
b_3 \, p(\Theta)  &       0      &    b_3\,\cos \Theta    }
\right)
 \left(\matrix{
{\bf e}_1 \cr{\bf e}_2 \cr{\bf e}_3} \right)
\end{equation}
where $ p(\Theta)$ is given by
$ p(\Theta)\,=\, \sqrt{b_3^{-2}\,-\,\cos^2 \Theta}$ .
Finally a change of variables from $ \Theta ,\Phi $
to new independent variables $ \Theta ,\varphi $ is performed by setting
\begin{equation} \label{10}
\tan \frac{\Phi(\Theta, \varphi)}{2}= \frac{\Omega}{p(\Theta)- \sin
\Theta}
\tan \Omega \frac{\varphi}{2}\quad {\rm with}\quad
\Omega = \sqrt{b_3^{-2}\,-1}.
\end{equation}
which completes the total transformation.

Eq.(\ref{10}) implies
$ {\rm d} \Phi \,=  p^{-1}(\Theta)\,\cos \Theta
\sin \Phi\,{\rm d} \,\Theta \,+\,g(\Theta, \varphi)\,
{\rm d} \,\varphi $
where the function $ g(\Theta, \varphi) $ is defined as
$ g(\Theta, \varphi)=p(\Theta) + \sin \Theta \cos \Phi $. With
this expression for $ {\rm d} \Phi $ eq.(\ref{7}) leads to
$ \partial_t \,{\bf m} \,=\, g\, p^{-1}\, {\bf e}_\Theta \,\partial_t
\,\Theta \, + \, g \sin \Theta\,{\bf e}_\Phi \,\partial_t \,\varphi $ .
To transform the rhs. of eq.(\ref{6}) in a first step $ \tilde {\bf
e}_1 $
and $ \tilde {\bf e}_2$ are  expressed by the $ {\bf e}_i $ using
eqs.(\ref{2}),(\ref{7a}) and the definition of the $ {\bf e}_i $.
After that eq.(\ref{7}) is employed to represent the rhs. of
eq.(\ref{6})
in terms of $ {\bf e}_\Theta $ and $ {\bf e}_\Phi $.
Introducing  a scaled  time $ \hat{t}$
by $ \hat{t}=\, \omega \,u^2 b_1 b_3 v^{-1}w^{-1}\,t $ and setting
$ \epsilon = \Gamma h_\perp\omega w^{-1} \hat{\epsilon} $
the results of this basically straightforward calculation leads to
\begin{eqnarray} \nonumber
\partial_{\hat{t}}\, \Theta&=&\,\hat{\epsilon} \,
\tilde{p}(\Theta) \,( X_\Phi^{\rm ex} +X_\Phi^{\rm an}+
\Gamma X_\Theta^{\rm ex}+\Gamma X_\Theta^{\rm an}
+Y_\Theta)\,+{\rm O}(\hat{\epsilon}^2)\\ \label{9}
\sin \Theta \,(\partial_{\hat{t}}\, \varphi -1)&=&
\,\hat{\epsilon} \,( -X_\Theta^{\rm ex}-X_\Theta^{\rm an}
+\Gamma X_\Phi^{\rm ex}+\Gamma X_\Phi^{\rm an}+ Y_\Phi)
\,+{\rm O}(\hat{\epsilon}^2).
\end{eqnarray}
The quantities $ \tilde{g}\, X_\Theta^{\rm ex}=
{\bf e}_\Theta \Delta {\bf m}
$ and $ \tilde{g}\, X_\Phi^{\rm ex}={\bf e}_\Phi \Delta {\bf m}  $ are
calculated to
\begin{eqnarray}
\tilde{g}\,X_\Theta^{\rm ex}&=&  \nabla
(\,\tilde{p}^{-1} \tilde{g} \, \nabla \Theta \,)
- \,[\,\tilde{p}^{-1} \sin \Theta \, \nabla \Theta +
\tilde{g}\,\cos \Theta \, \nabla \varphi \,]\,
(\,\tilde{g} \sin \Theta \, \nabla \varphi \,)\nonumber\\
\tilde{g}\,X_\Phi^{\rm ex}&= &\nabla
(\,\tilde{g} \sin \Theta \, \nabla \varphi \,)+
\,[\,\tilde{p}^{-1} \sin \Theta \, \nabla \Theta +
\tilde{g}\,\cos \Theta \, \nabla \varphi \,]\,
(\,\tilde{p}^{-1} \tilde{g} \, \nabla \Theta \,)\,.\label{14}
\end{eqnarray}
{}From the definitions $ \tilde{g}\,X_\Theta^{\rm an}=-({\bf m}
{\bf e}_z)\,({\bf e}_\Theta {\bf e}_z) $ and
$ \tilde{g}\, X_\Phi^{\rm an}=-({\bf m} {\bf e}_z)\,({\bf e}_\Phi
{\bf e}_z) $
\begin{eqnarray} \nonumber
\tilde{g}\,X_\Theta^{\rm an}&=&h_\perp^2 w^{-2}( -\sin \Theta \sin \Phi
+\Gamma \,\tilde{g}\,\cos \Theta)
[\cos \Theta \sin \Phi +\Gamma(\tilde{g} \sin \Theta-\cos \Phi)] \\
\tilde{g}\,X_\Phi^{\rm an}&=&h_\perp^2 w^{-2}( -\sin \Theta
\sin \Phi +\Gamma \,\tilde{g}\,\cos \Theta)
( \cos \Phi+\Gamma \cos \Theta  \sin \Phi)\label{15}
\end{eqnarray}
is obtained and for   $ Y_\Theta $ and $ Y_\Phi $
\begin{eqnarray}
Y_\Theta\,&=& -\Gamma^2 h_\perp v^{-2}
[\,u\,\tilde{\bf e}_1 {\bf \overline{m}}^{(1)}_{\rm dom}
\,+\,h_\perp\,\tilde{\bf e}_2{\bf \overline{m}}^{(1)}_{\rm dom}  ]
\,\sin \Theta\,\nonumber \\
& &-\,\Gamma h_\perp^2 w^{-2}\tilde{g}^{-1}
[\,(1-\Gamma^2) \cos \Theta\,( \tilde{p} \cos \Phi\,+ \sin \Theta)\,+
\, 2 \Gamma \tilde{p} \sin \Phi]\nonumber\\
Y_\Phi\,&=& \Gamma h_\perp v^{-2} u^{-1}
[\,(v^2-\Gamma^2 h_\perp^2)\,
\tilde{\bf e}_1{\bf \overline{m}}^{(1)}_{\rm dom}  \,+
\,\Gamma^2 h_\perp u \,
\tilde{\bf e}_2{\bf \overline{m}}^{(1)}_{\rm dom}  ] \,\sin
\Theta\,\nonumber \\
& & +
\,\Gamma h_\perp^2 w^{-2}\tilde{g}^{-1}
[\,-2 \Gamma \cos \Theta\,( \tilde{p} \cos \Phi\,+ \sin \Theta)\,+
\, (1- \Gamma^2) \tilde{p} \sin \Phi]\label{16}
\end{eqnarray}
results with $ \Phi = \Phi(\Theta, \varphi)$ as defined by
eq.(\ref{10}). The quantities $  \tilde{p} $ and $ \tilde{g} $
stand for the zeroth order contributions to $ p $ and to $ g $
and are explicitly calculated to
\begin{equation}
\tilde{p}(\Theta)=\sqrt{\tilde{\Omega}^2\,+\, \sin^2 \Theta}\quad,
\quad
\tilde{g}(\Theta, \varphi)=\tilde{p}(\Theta) + \sin \Theta \cos \Phi
\quad {\rm with} \quad \tilde{\Omega}=\, \frac{v}{\Gamma h_\perp}.
\end{equation}

In the zeroth order limit  eqs.(\ref{9})
reduce to $ \partial_{\hat{t}}\, \Theta\,=\,0 $ and to
$ \partial_{\hat{t}} \,\varphi\,=\,1 $ . Thus as required
the variables $ \Theta ,\varphi $ become
angle - action variables in the $ \epsilon=0 $ limit.
A second  feature of the transformation should be pointed
out. According to the definition of the $ {\bf e}_i $ and to
eq.(\ref{7})
$ {\bf m}(\Theta \rightarrow 0,\varphi)={\bf m}_- $ and
$ {\bf m}(\Theta \rightarrow \pi,\varphi)={\bf m}_+ $ holds.
Thus the values $ \Theta=0 $ and  $ \Theta=\pi $
characterise the interior of the domain regimes
and a domain  wall corresponds to  a change from $\Theta=0$ to
$\Theta=\pi$.
Note that, as it must be, eqs.(\ref{9})   are satisfied
for  $ \Theta=0 $ and  for $ \Theta=\pi $ with $ \partial_{\hat t}\,
\Theta\,=\,\nabla\Theta=0 $.

\section{Multiple-Time Scaling}\label{sec4}
Next the standard multiple-time scaling method is applied
to the eqs.(\ref{9}) . Denoting the slow time scale
as  $ T=\hat{\epsilon}\,\hat{t} $  the ansatz
\begin{eqnarray} \nonumber
\Theta(\hat{t},{\bf r})&=& \tilde{\Theta}(T,{\bf r})+
\hat{\epsilon}\, \Theta^{(1)}(\hat{t},T,{\bf r}) \,+\,
{\rm O}(\hat{\epsilon}^2) \\
\varphi(\hat{t},{\bf r})&=& \hat{t}  +\tilde{\varphi}(T,{\bf r})+
\hat{\epsilon} \varphi^{(1)}(\hat{t},T,{\bf r})+\,
{\rm O}(\hat{\epsilon}^2)\label{19}
\end{eqnarray}
is employed which already satisfies the zeroth order
of the perturbative expansion.
In first order   the $ \hat{t} $-secular terms of
$ \Theta^{(1)} $ and of $ \varphi^{(1)} $ are as usual eliminated.
This
procedure  leads to
\begin{eqnarray} \nonumber
\partial_{T}\, \tilde{\Theta}&= &\tilde{p}( \tilde{\Theta})\,
( \,\langle X_\Phi^{\rm ex} \rangle +\,\langle X_\Phi^{\rm an} \rangle
 \,+\,\Gamma \langle X_\Theta^{\rm ex} \rangle \,
+\,\Gamma \langle X_\Theta^{\rm an} \rangle \,
+\,\langle Y_\Theta \rangle \,) \\
\label{25}
\sin \tilde{\Theta} \;\partial_{T} \,\tilde{\varphi}&=&
-\,\langle X_\Theta^{\rm ex} \rangle \,
-\,\langle X_\Theta^{\rm an} \rangle \,
\,+\,\Gamma \langle X_\Phi^{\rm ex} \rangle
\,+\,\Gamma \langle X_\Phi^{\rm an} \rangle
+\,\langle Y_\Phi \rangle
\end{eqnarray}
which determines the $ T $- dependence of
$ \tilde{\Theta}(T,{\bf r})$ and of $\tilde{\varphi}(T,{\bf r}) $.
In eqs.(\ref{25})
$\langle \,f(\Theta,\varphi) \,\rangle
=\tilde{\Omega}/(2 \pi)  \int^{2 \pi\tilde{\Omega}^{-1}}_0
\,f(\tilde{\Theta},\hat{t}+\tilde{\varphi})\,{\rm d} \hat{t} $
denotes an averaging of an arbitrary function
$ f(\Theta,\varphi)$ over the fast time variable $ \hat{t} $.
Using a substitution analogous to eq.(\ref{10}) these averages
can be performed and result in
\begin{eqnarray} \label{16a}
\langle X_\Theta^{\rm ex} \rangle &=&
(\tilde{p} +\tilde{\Omega})\nabla \, \frac{\nabla  \,\tilde{\Theta}}
{\tilde{p}(\tilde{p} +\tilde{\Omega})}
\,- \tilde{\Omega} \sin \tilde{\Theta}\,
\cos \tilde{\Theta} \,( \nabla  \,\tilde{\varphi})^2\nonumber\\
\langle X_\Phi^{\rm ex} \rangle&=&
\,\sin \tilde{\Theta}\,\frac{ \tilde{p} +\tilde{\Omega}}
{\tilde{p} -\tilde{\Omega}}\,\nabla\,(\frac{ \tilde{p} -\tilde{\Omega}}
{\tilde{p} +\tilde{\Omega}}\,\nabla  \,\tilde{\varphi})
\nonumber\\
\langle X_\Theta^{\rm an} \rangle &=&
h_\perp^2 w^{-2} \,(\tilde{\Omega} - \tilde{p})\,[ 1\,-\Gamma^2(
1\,+\tilde{\Omega} \tilde{p}+
\tilde{\Omega}^2)]\; \cot \tilde{\Theta}
\nonumber\\
\langle X_\Phi^{\rm an} \rangle&=&\,2\,\Gamma\,
h_\perp^2 w^{-2} \,(\tilde{\Omega} - \tilde{p})\, \cot \tilde{\Theta}
\nonumber \\
\langle Y_\Theta\rangle\,&=& -\Gamma^2 h_\perp v^{-2}
[\,u\,\tilde{\bf e}_1 {\bf \overline{m}}^{(1)}_{\rm dom}
\,+\,h_\perp\,\tilde{\bf e}_2{\bf \overline{m}}^{(1)}_{\rm dom}  \,]
\,\sin \tilde{\Theta}\,\nonumber \\
\langle Y_\Phi \rangle\,&=& \Gamma h_\perp v^{-2} u^{-1}
[\,(v^2-\Gamma^2 h_\perp^2)\,\tilde{\bf e}_1 {\bf
\overline{m}}^{(1)}_{\rm dom} \,+
\,\Gamma^2 h_\perp u \,
\tilde{\bf e}_2 {\bf \overline{m}}^{(1)}_{\rm dom} \,] \,\sin
\tilde{\Theta}.
\end{eqnarray}
where now $\tilde{p}$ stands for
$\tilde{p}(\tilde{\Theta})$.

Together with the expressions (\ref{16})
the coupled  set of eqs.(\ref{25})
represents the general result of this work. On the slow time scale $ T $
the temporal and the spatial evolution of the magnetisation is
governed by these reduced equations of motion. It is expected  that
various, interesting questions can be  analysed on the basis
of these equations. One of these problems, the profile
of a stationary  domain wall is treated in the next section.

\section{Domain Wall}\label{sec5}
In this first approach to the domain wall problem I restrict myself
to planar walls whose spatial dependence varies -
locally and/or approximately - only in one direction,
the normal direction $ {\bf e}_\xi $ of the wall.
The analysis is further restricted
to stationary walls. Thus   $ \tilde{\Theta}(\xi)$
is assumed  to be  time independent.  For the cyclic variable
$ \tilde{\varphi} $ the ansatz $\tilde{\varphi}(T,\xi)=
\,\Omega^{(1)}\,T \,
\,+\,\bar{\varphi}({\xi}) $ is used where $ \Omega^{(1)} $ describes
a first order frequency contribution independent of $\xi$.
Fixing the scale of $ \xi $ by the replacement
$ ({\bf r}{\bf e}_\xi)  \rightarrow  h_\perp w^{-1} \xi$
and introducing the ' local wave number variable ' by
\begin{equation}\label{32}
Q(\xi)=\, \tilde{\varphi}^\prime (T,\xi)
\end{equation}
eqs.(\ref{25}) lead to a system
of ordinary differential eqs. for $\tilde{\Theta(\xi)} $ and for
$ Q(\xi)$
\begin{eqnarray}\nonumber
(\tilde{p} +\tilde{\Omega})\biggl(
\frac{\tilde{\Theta}^\prime }
{\tilde{p}(\tilde{p} +\tilde{\Omega})}\biggr)^\prime
\,- \tilde{\Omega} \sin \tilde{\Theta}\,
\cos \tilde{\Theta} \,Q^2\,&=&\,( \tilde{p}-\tilde{\Omega})\,[
1\,-\Gamma^2( 1\,+\tilde{\Omega} \tilde{p}+
\tilde{\Omega}^2)]\; \cot \tilde{\Theta}\,+
\, C_\Theta \,\sin \tilde{\Theta}\\
\sin \tilde{\Theta}\,\frac{ \tilde{p} +\tilde{\Omega}}
{\tilde{p} -\tilde{\Omega}}\,\biggl(\frac{ \tilde{p} -\tilde{\Omega}}
{\tilde{p} +\tilde{\Omega}}\,Q\biggr)^\prime\,&=&\,2\,\Gamma\,
(\tilde{p}-\tilde{\Omega})\, \cot \tilde{\Theta}\,+
\, C_\Phi \,\sin \tilde{\Theta}
\label{33}
\end{eqnarray}
where  $\tilde{p}$ still stands for
$\tilde{p}(\tilde{\Theta})=\sqrt{\tilde{\Omega}^2\,+\,
\sin^2 \tilde{\Theta}}$ and
where the constants $ C_\Theta $ and $ C_\Phi $ satisfy the linear
system
\begin{eqnarray} \label{35}
\Gamma C_\Theta \,+\, C_\Phi \,&=&\,
\Gamma^2 w^2 h_\perp^{-1} v^{-2}
[\,u\,\tilde{\bf e}_1{\bf \overline{m}}^{(1)}_{\rm dom}
\,+\,h_\perp\,\tilde{\bf e}_2{\bf \overline{m}}^{(1)}_{\rm dom}  \,]\\
\label{35a}
- C_\Theta \,+\, \Gamma C_\Phi \,&=&\,w^2 h_\perp^{-2}\, \Omega^{(1)}
\,-\,\Gamma w^2 h_\perp^{-1} v^{-2} u^{-1}
[\,(v^2-\Gamma^2 h_\perp^2)\,\tilde{\bf e}_1
{\bf \overline{m}}^{(1)}_{\rm dom}\,+
\,\Gamma^2 h_\perp u \,
\tilde{\bf e}_2{\bf \overline{m}}^{(1)}_{\rm dom}  \,].
\end{eqnarray}

Apart from solving eqs.(\ref{33})  $ \tilde{\Theta}(\xi) $
and $ Q(\xi)$ have to satisfy at the boundaries
\begin{equation} \label{37}
\tilde{\Theta}( \xi \rightarrow -\infty)=0 \,;\quad
\tilde{\Theta}( \xi \rightarrow \infty)=\pi \,;\quad
\tilde{\Theta}^\prime( \xi \rightarrow \pm \infty)=0 \,;\quad
Q( \xi \rightarrow \pm \infty)=const.
\end{equation}
where  the range of $ \xi $ has been extended
over the entire interval from $  -\infty $  to $ \infty $.
Just by counting constants of integration it is
obvious that the  conditions (\ref{37}) can  generally
not be satisfied, noting additionally  that one constant
is the center of the wall $ \xi_0 $ due to translation invariance of
eqs.(\ref{33}). For special values of $ C_\Theta $
and $ C_\Phi $, however, solutions of this  boundary eigenvalue
problem may exist.

For $ C_\Theta = C_\Phi =0 $ a solution exists which exhibits the
symmetry properties $ \tilde{\Theta}(\xi)\,=
\,\pi -\tilde{\Theta}(-\xi) $ and $ Q(\xi)=Q(-\xi)$. This will be
demonstrated by construction and for this propose
eqs.(\ref{33}) are formally integrated
\begin{eqnarray} \nonumber
(\tilde{\Theta}^\prime)^2&=&\,2
\tilde{p}^2\,(\tilde{p}+\tilde{\Omega})^2
\int_{\tilde{\Omega}}^{\tilde{p}}\;{\rm d}p
\left \{
\frac{1-\Gamma^2 (1+p\tilde{\Omega}+
\tilde{\Omega}^2)}{(p+\tilde{\Omega})^3}\,+\,\frac{\tilde{\Omega}
\,Q^2}{(p+\tilde{\Omega})^2} \right\}
\\ \label{36}
Q&=&\,2\,\Gamma\, \frac{\tilde{p}+\tilde{\Omega}}{\tilde{p}-
\tilde{\Omega}}
\int_{\tilde{\Omega}}^{\tilde{p}}\;{\rm d}p\;
\frac{p(p-\tilde{\Omega})^{1/2}}{(p+\tilde{\Omega})^{5/2}
\,\tilde{\Theta}^\prime}.
\end{eqnarray}
Consider both $ \tilde{\Theta}^\prime $ and $ Q $ as functions of
$ \tilde{\Theta} $ or according to the relation $ \sin \tilde{\Theta}
=( \tilde{\Omega}^2-\tilde{p}^2)^{1/2} $ as functions of $ \tilde{p} $.
Then the eqs.(\ref{36}) represent a system of integral eqs. for
$ \tilde{\Theta}^\prime $ and $ Q $ in dependence of $ \tilde{p} $.
Denoting  the explicit solutions of this system
by $ F(\tilde{p})= \tilde{\Theta}^\prime $ and by $ G(\tilde{p})= Q $
further integration leads to $
\xi\,= \int_{\pi/2}^{\tilde{\Theta}(\xi)}
F^{-1}( \sqrt{\tilde{\Omega}^2+\sin^2 \Theta })\,{\rm d} \Theta $
where the center of the wall has been fixed by $
\tilde{\Theta}(0)=\pi/2 $.
Thus the $\xi$ dependence  of ${\tilde{\Theta}(\xi)}$ is implicitly
determined  from which $ Q(\xi) $ and
consequently  $ \tilde{\varphi}(T,\xi) $ can be calculated according to
eq.(\ref{32}).

In the limit $ \tilde{p} \rightarrow \tilde{\Omega} $ which
corresponds to the limit $ \xi \rightarrow \pm \infty $ the
eqs.(\ref{36})
lead to $ F(\tilde{p})\sim (\tilde{p} -\tilde{\Omega})^{1/2}
\rightarrow 0 $ and to $ G(\tilde{p})\rightarrow $ const. .
These findings are valid for all parameter values of $\tilde{\Omega} $
and of $\Gamma$ and imply that all the boundary conditions
(\ref{37}) are satisfied.

Turning now to the  question whether further solutions of the boundary
eigenvalue problem exist eqs.(\ref{33}) are again integrated formally.
Due to $ C_\Theta \ne 0 $ and $ C_\Phi \ne 0 $ additional contributions
arise to eqs.(\ref{36}). From these contributions
the asymptotic behaviour for $ \xi\rightarrow \infty $
$ \bigl(\tilde{\Theta}^\prime(-\xi)\bigr)^2 -
\bigl(\tilde{\Theta}^\prime(\xi)\bigr)^2 \,\sim C_\Theta $
and $ Q(-\xi)-Q(\xi)\,\sim
\,C_\Phi\,(\tilde{p}- \tilde{\Omega})^{-1/2}$
can be deduced. These results
imply that the conditions (\ref{37}) can not be satisfied
with  $ C_\Theta \ne 0 $ or with $ C_\Phi \ne 0 $. Thus there are
no further solutions and  $ C_\Theta = C_\Phi = 0 $ represents
a compatibility condition.

In general the explicit solutions of
eqs.(\ref{33}) with $ C_\Theta = C_\Phi = 0 $
have to be calculated numerically.
Fig.(1) shows the results of such a calculation for the parameter
values
$ \tilde{\Omega}=\sqrt{3} $ and $ \Gamma =0.1 $ . Note that
the values of $ Q $  are small compared to the variation of
$ \tilde{\theta} $. This findings imply that the spatial dependence
of the wall is mainly determined by $ \tilde{\Theta}(\xi) $
and are  attributed to the fact that
$ Q(\xi) $ is proportional to $ \Gamma $. Thus alternatively
an iteration procedure can be employed to find
approximate solutions. Starting with $ Q_0(\xi)= 0 $  at the rhs.
of eqs.(\ref{36}) these eqs. determine first approximations.
For the above parameter values the deviations from the exact
solutions are found to be small.
As usually $ \Gamma \ll 1 $ is  satisfied this
indicates that the first iteration of eqs.(\ref{36}) - which
can be calculated analytically - may be sufficient in many cases.

According to eq.(\ref{35}) $ C_\Theta = C_\Phi = 0 $  implies
the relation $ u\,\tilde{\bf e}_1{\bf \overline{m}}^{(1)}_{\rm dom}
\,+\,h_\perp\,\tilde{\bf e}_2{\bf \overline{m}}^{(1)}_{\rm dom}=0  $.
This additional relation to the eqs.(\ref{7a}) and (\ref{7aa})
now  determines in a unique way the dependence
of $ n_+^{(1)}$ of $ {\bf m}_\pm^{(1)} $ and of $
{\bf \overline{m}}^{(1)}_{\rm dom} $ on the model parameter.
With eq.(\ref{35a}) this also applies to $ \Omega^{(1)} $.
Thus all quantities of the domain states including the
spatiotemporal wall structure are uniquely determined.
This result together with the fact that the wall width
remains finite in the large $ V $ limit shows the self-consistency of
the ansatz(\ref{1a}).

A further consequence of the additional relation is
$\langle Y_\Theta \rangle \,=0 $ and thus this term in
eqs.(\ref{25}) drops out. By a redefinition of the fast time scale
in the first order term, it is possible to transfer
the contribution  $\langle Y_\Phi \rangle  $ of  eqs.(\ref{25})
to the fast dynamics. Employing this redefinition both
$\langle Y_\Theta \rangle \, $ as well as
$\langle Y_\Phi \rangle  $ drop out  of eqs.(\ref{25}).
This findings considerably simplify the analysis of further
problems based on the general eqs.(\ref{25}).

Next the internal fields ${\bf H}_1 $ and $ {\bf H}_2 $
are introduced by $ {\bf H}_2={\bf H}_1+ \omega {\bf e}_z
=h_\parallel {\bf e}_z \,
 + \, h_\perp{\bf e}_x\,- \,
\bbox{\overline{m}}_{\rm dom} $.  Employing again
the above relation and eqs.(\ref{2}-\ref{4}) it is found
that up to the first order
\begin{equation}\label{40}
{\bf H}_1 \, {\bf H}_2 =0
\end{equation}
holds which generalises the zeroth order result of \cite{Plefka94}.
In this ref. the importance of eq.(\ref{40}) as a
criterium for the existence of the domain states has already been
discussed.

To conclude this section it is mentioned that within the domain regions
a linear  stability analysis  has been performed with the
result that all the in zeroth order undamped modes of \cite{Plefka94}
have now finite damping constants proportional
to $ \epsilon $. This stability
analysis does not include the wall regimes as for such a complete
treatment numerical methods have to be applied. The complete zeroth
order stability analysis, the present partial first order analysis
and the results of the computer simulations yield considerable
evidence for
the stability of the dynamic domain states. In this context it is
pointed out that in the weak coupling limit $ \Gamma\ll 1$ a
Lyapunov
function can be constructed on the slow time scale which implies
stability.

\section{Comparison with Simulations}\label{sec6}

With the numerical results of the last section and an additional
integration the zeroth order contributions of eqs.(\ref{19}) are
determined. With these results  for  $ \Theta $  and $ \varphi $
the Cartesian components of $  m_i $ can be calculated
according to eq.(\ref{7}). This has been done for the parameter
values $ h_\parallel=\omega=2,\; h_\perp=0.5 $ and $ \Gamma=0.1 $
neglecting $ \Omega^{(1)}$  and all  other first order
corrections in eq.(\ref{7}) which  implies also
$ {\bf e}_i =\tilde{\bf e}_i $. The results of this calculation
are given in Fig.(2a) and Fig.(2b) where the spatiotemporal
dependence of $ \cos \phi= m_1 (m_1^2+ m_2^2)^{-1/2} $ and of $ m_3 $
are presented. For the time dependence  anharmonic oscillations
are found which are plotted   on the $\tau= \tilde
{\Omega} \hat{t}$ scale for one period.

Fig.(2c) and Fig.(2d) show the corresponding results \cite{Plefka94}
of the computer simulations
of eq.(\ref{1})  performed with the same parameter values and using
in addition $ J=0.01$ and $ A=-0.005 $. The original simulation
results are
rescaled to the theoretical scales. With the exception of the center
of the wall and the time origin no fitting procedure
has been used.

With deviations of usually less than one percent
the analytic results agree with the simulations.
Quantitative agreement for $ {\bf \overline{m}}_{\rm dom} $, for
$ {\bf m}_\pm  $ and for $n_+$ was already found in \cite{Plefka94}
with a similar high accuracy. Based on these agreements
it has been demonstrated that the employed methods
are a suitable tool to explain the
characteristic features of the dynamic domain states.

\section{Conclusions}\label{sec7}

In this work a rather realistic model for a ferromagnet was
investigated. Depending on the parameter values this model
can exhibit  stationary dynamic domain states in the rotating frame.
An important element of this states is the spatiotemporal
structure of the domain walls. With the present investigation
this structure is understood to a high extent.

The analysis of wall structure is based on the reduced
equations of motion (\ref{25}) which  from the theoretical
point of view represent the main result of this work.
These eqs. which govern the temporal and the spatial
evolution on the slow time scale should be applicable to
other phenomena. Obvious extensions are investigations on drifting
walls, on multi-dimensional walls  and on the interaction
between domain walls.

As a further propose the present approach should be extended
to take stray fields into account.  This  would imply that the
dipole interaction
is completely included and the model will become
very realistic for ferromagnetic materials. Moreover by analogy
with the static case, it is expected that these dipolar stray fields
contribute crucially to selection mechanism for the wall positions.
In this context the formation of regular patterns in driven
ferromagnets
seems to be possible.

The author has benefited from discussions with
W. Just and G. Sauermann. This work was performed within SFB 185.

redpajama_set_name: RedPajamaArXiv


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Engaged research describes a range of rigorous research approaches and methodologies that share a common interest in collaborative engagement with the community and aim to improve, understand or investigate an issue of public interest or concern, including societal challenges. Engaged research is advanced with community partners rather than for them.
ADAPT provides many opportunities for members of the public to engage directly in its research programme.
INTERACT - The International Network in Crisis Translation
Multilingual translation of crisis and disaster-related content is a necessity and a human right for health, safety and resilience. However, translation and interpreting have been sorely neglected in the field of emergency and disaster risk reduction. This project tackles that neglect through policy, training, technology and ethics-based research.
BrightSelf – Self-reporting Psychological Wellbeing in Pregnancy
The impact of perinatal mental illness on parents' health, birth outcomes and children's emotional, behavioural, cognitive and social development has made this a public health priority. ADAPT researchers, in collaboration with Imperial College London, have developed BrightSelf, a mobile app and online platform for the self-reporting of psychological well-being during pregnancy. BrightSelf is currently deployed in a 6-month feasibility study (involving more than 250 pregnant women) within the UK's National Health Service examining the role mobile devices play in public health screening programmes, the engagement of users with mHealth technologies and the nature of well-being and mental health in pregnancy.
'Technology in My Life' Citizen Think-Ins
A new series of ADAPT citizen think-in will engage adults and teenagers with informal educational experiences that incorporate discussion, dialogue and deliberation around the societal implications of engaging in a digital world. Potential topics include artificial intelligence, fake news, and online privacy.
The goals of the think-ins will be to:
Enhance participants' understanding of engaging in our digital world and its potential impact on their lives and on society
Strengthen the public's and scientists' acceptance of, and familiarity with, diverse points of view related to digital engagement
Increase participants' confidence in participating in public discourse about engaging in our digital world
The opinions gathered and conclusions arrived at during the think-ins will inform ADAPT research and relevant public policy going forward.
BigFoot: How Big is your Digital Footprint?
ADAPT's BigFoot initiative aims to engage and inform members of the public in relation to digital privacy and empower them to make informed decisions relating to their information sharing online.
The BigFoot app enables people to compare their perceived information sharing to their actual information sharing. The (non-personal) data gathered by the app will be used by ADAPT to public research on data privacy.
At present BigFoot analyses the Facebook accounts of users only. ADAPT plans to expand the applicability of BigFoot to other social media platforms in 2018


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The Wallace Foundation
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Anne Dinneen
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Anne Dinneen joined The Wallace Foundation's board of directors in 2018. As the Chief Investment Officer of Hamilton College, a post she has held since 2015, Dinneen is responsible for managing a $1.02 billion endowment.
Dinneen previously was Director of Investments at the James Irvine Foundation, where she worked for more than 10 years. In collaboration with Irvine's Chief Investment Officer, she was responsible for the sourcing, evaluation, recommendation and monitoring of the foundation's investment managers, investment opportunities and portfolio.
Before arriving at Irvine, Dinneen worked at Barclays Global Investors as a quantitative portfolio manager on the Advanced Active Equities team. She also held equity research positions with Thomas Weisel Partners and Bank of America Securities.
Dinneen has a bachelor's degree in economics from Princeton University and an M.B.A. from the Wharton School.
Dinneen is a member of the board of trustees for The Hotchkiss School and serves as the chair of the Investment Committee. She is a member of the Investment Committee for The Hillman Foundation. In addition, she serves on the TIAA Nuveen Investment Council and the Global Capital Markets Advisory Committee for The Milken Institute.
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The importance of effective data classification
Get the latest updates from Vault Cloud
Newsletter [TEMP]
Data storage alone isn't enough: the importance of effective data classification
Kate Ellis - Cloud Senior Marketing Manager
Over the last two years, we as a nation have greatly shifted our view on how personal data should be handled and stored.
First came the Cambridge Analytica scandal, where Facebook enabled the organisation to harvest data from over 300,000 Australian user profiles. This was then followed by the EU's GDPR regulations, which sought to protect the data and privacy of its citizens and impacted businesses around the world – from tech giants like Facebook, to organisations in Australia that have European based customers.
Since this pivotal time in our digital history, Australia, and the world, realised the moral imperative we have to securely handle and use data, and have since put a stronger emphasis on data security. While we as a nation have learned about the importance of proper data management, we still have a way to go when it comes to maintaining data security and privacy.
Organisations continue to rely heavily on data to inform their day to day operations. Many have found themselves "hoarding" large quantities of unsorted data in the hopes that one day they will find a use for it. Though helpful, cloud storage can turn into disruptive technology when it comes to privacy and security, as many businesses do not understand how to property store it, which in turn puts them at risk.
Business and government leaders must ensure that their most sensitive information is not lumped with general data, as it is at risk of exposure from a cyber threat. Sensitive information that is stored digitally—including intellectual property, Medicare data, tax file numbers, MyGov information, and/or financial account and credit card details—need an extra level of security and cannot be stored alongside more general, non critical data . In order to protect highly sensitive data, you and your organisation must do what is called "data classification" – a process that allows organisations to secure unstructured data from unauthorised access by identifying it's value to the business.
As UNSW describes it, "data classification is the process of organising data into categories for its most effective and efficient use. Data classification is akin to putting a sticker on a box saying 'Fragile! Handle with care!'" For example, when analysing data, the Australian Government uses three security classifications – Protected, Secret and Top Secret – based on the likely damage resulting from compromise of the information's confidentiality. In storing large quantities of data, Australian businesses must take a similar approach.
While data classification is an essential process, we realise that many may find it to be an overwhelming and technical task. As an Australian born, on-shore, cloud services provider, Vault cares about the wellbeing of fellow Australian businesses and is here to help in building awareness and developing processes, people and technology that protect and sort valuable data. Our hybrid cloud environment, for example, enables businesses to maintain tighter control over data and better organise it through a public and private environment, a key solution to storing your data, once classified.
To help you get started in the data classification process, we've outlined five key steps you can take to classify your data, using guidelines from the Australian Government:
Assess the cloud provider used to store your data. Select a cloud solution that can meet your diverse data storage needs, such as a hybrid cloud environment, which enables you to store your classified data publicly or privately, varying by its sensitivity.
Assess the value, importance or sensitivity of official information. To do this, you must consider the potential damage to government, the national interest, organisations or individuals, that would arise if the information's confidentiality was compromised.
Develop a formalised classification policy for your data. You must identify classification categories for your data, such as low sensitivity, medium sensitivity and high sensitivity, and clearly define what attributes make one piece of data more sensitive than another (a tax file number vs general business trends, for example)
Categorise the types of data. Once the categories and attributes are identified, it's time to categorise your data and store it based on its level of sensitivity.
Enable controls. Once stored, appoint data access to a small group of trusted people for safekeeping and management.
At Vault, we are here to guide you and provide support on your data classification journey, no matter what industry your business operates in. We serve large and small Australian businesses across critical sectors, such as banking and finance, energy, food and grocery, health, transport, water services, and defence.
In addition to providing a hybrid cloud environment, we offer a Critical Infrastructure Cloud, which was developed and designed to uplift the security and resilience of critical infrastructure and systems of national significance, and is well equipped to meet your unique needs.
In addition to offering our own services, we can also work with your existing cloud provider as part of your cloud infrastructure strategy, so you won't have to worry about switching over to a new solution all together. We're here to support Australian businesses in every way that we can, especially during these vulnerable times.
Why data privacy and its management contributes to your GRC measures.
Damon Scott - Head of Vault Connect
Cybersecurity is a balancing act, bridging the perceptual dichotomy between protection and productivity. It's not an easy…
Over the last two years, we as a nation have greatly shifted our view on how personal…
How government and critical infrastructure can eliminate identity conflict
Government and critical infrastructure are struggling to manage disparate identity processes and siloed physical and digital access…
Bolstering Security Across Australia's Critical Infrastructure
Linton Burling, General Manager - Vault Cloud
COVID-19 has no doubt ignited tremendous change across all facets of Australian life, with our nation facing…
How local NSW districts digitally transformed through COVID-19
Gabriel Dubic - NSW Government Sales Executive
How local NSW districts digitally transformed through COVID-19 The healthcare sector's immediate response to COVID-19 has prioritised…
The right time to review data sovereignty standards
Rupert Taylor Price, CEO, Vault Cloud
The pandemic has shown us how little we can take for granted. Much that is hard won…


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Events Announcements Hype's Exclusive: David Gravell's Ready To Make Waves On #ITSTHESHIP2016
Hype's Exclusive: David Gravell's Ready To Make Waves On #ITSTHESHIP2016
28-year-old Dutch trance DJ/producer David Gravell is perhaps one of the dance music industry's most underrated DJs, but he's got more up his sleeve than you can imagine.
It wasn't too long ago that David released "Bulldozer", a track that gained him a lot of support and plays, which contributed to his level of popularity in the dance music scene. Between then and now, he has released more than a handful of singles and official remixes, played at some major festivals around the world, and cinched a couple International Dance Music Awards (IDMA) nominations including "Best Breakthrough DJ".
Source: enterzagreb.hr
That having said, there are still lots to discover about this young music maestro. For instance, the name in which he performs under, David Gravell, isn't his real name. His real name is Danny de Graaf. Learn something new every day!
Get to know David better via our exclusive interview below:
Hi David. Thanks for making time to do this for us. Where are you right now and what are you currently up to?
No problem at all! I really like interviews and to have a little chat about my music. At the moment, I'm in Amsterdam. I'm working on my new apartment and I'm trying to finish it in a few weeks so that I can move in 100%.
We've heard a couple of your tracks and your remixes have gotten good traction, but are you working on any material for an album anytime soon?
Actually, I'm working on my first album which..I don't know when it's coming out but I do have some tracks that I would love to see on the album. I'm working with vocalists for new vocal tracks. So yeah, basically I've finished a lot of new music for the rest of the year and a little bit for next year also. I think I have a name for the album but I'm not sure if I can say though. First, I'll need to talk to all the guys who are involved with the album, then maybe I can say. I will ask the guys and I will let you know!
Haha, that's great! So your new album is going to be out on Armada, right?
Yeah, it's going to be out on Armada so probably next year for sure. Hopefully I can reveal something really soon about the album.
Does being an exclusively signed artiste mean that you're pressured to live up to certain expectations, be it your own's, your management's, or your fans'?
I think that the main thing about being exclusive is that, in the end..they're gonna work on your future for the next few years. And it's a privilege to sign exclusively because you know, we're gonna work on my future together – with the guys from Armada, my management, and everyone else who is involved. It's about how you should do it. It's all about yourself, and how you see your future, and how you wanna achieve those goals. If you work hard, everyone on the team will work hard together with you. I could've never dreamed of this when I first signed with Armada. I'm really happy at the moment.
You've played at some of the largest scale festivals in the world. Can you describe how it feels to be up in the console before a crowd of that size?
To be honest, in the beginning, I had to adjust myself because it wasn't normal for me to stand in front of so many people. During my first few shows, I was really nervous and I was thinking about almost everything. For every show that I did, I prepared almost everything for the whole show. The only thing that I was worried about every time was something going wrong with the sound or the lights or the visuals. So I prepared everything and if something didn't work, it wouldn't be because I didn't prepare well enough. Because of the way I did it, I became more stable (in doing shows). When I have everything prepared and if things don't go as planned, then at least I'd take comfort in knowing that it isn't because of something I didn't do. I've since learned to be on stage in front of so many people. It was stressful, but now it's all gone. I think once you do bigger an bigger shows, you get a little bit familiar with paying for so many people. It's a good thing because in the end, you wanna give people a great show.
And on that note, you're about to set sail in this November for It's The Ship 2016. How are you planning your set for your first ever Asian festival cruise?
I love playing on that side of the world (Asia) and I love going back there every time. For every show, I try to do something a little bit different. For "It's The Ship", I have a lot of new music and of course, I'm going to play all my stuff that my fans know, but I'm also gonna do something new with stuff that they haven't heard before. It's going to be interesting, I think!
Your achievements include being voted for several IDMAs in the past. But as a DJ/producer, what does success truly mean to you?
Success, for me, means the work that I'm doing now – the travelling, seeing my fans, making everyone happy all around the world, making everyone feel free with my music. I think my biggest achievement is..being able to do what I love to do. I try to bring that to my fans' lives with my music. It's not money, it's more like..being able to do this.
The #TranceFamily is arguably one of the strongest dance music communities in history of dance music. What is the #TranceFamily to you? What does it embody?
#TranceFamily is a name, but it says a lot of things! For me, I think #TranceFamily is..sharing the same love and the same things, like music. It brings people together. Like one big family. What I love about the whole thing is..these days, I can see more and more of them during shows. They all come out together to support the shows. I see my fans in the crowd but I also see one big family all holding up #TranceFamily flags and waving them in the air. It's so nice to see. And it's really cool.
In your own words, leave a shoutout and tell your fans why they need to go for It's The Ship 2016.
Because I hear that it's one helluva awesome thing to go to! I think it's gonna be magical. I'll be playing a show but I'll also be bringing my friends..the other trance artistes are also coming. We're gonna have a lot of fun! I can't wait.
Thank you so much for the chat, David! We'll be sure to hunt you down on "It's The Ship" this November.
Haha that's awesome! See you soon.
The 4D3N "It's The Ship" festival cruise departs on the prestigious Royal Caribbean International cruiseliner, Mariner of the Seas, from the Marina Bay Cruise Centre in Singapore on 4th November. It will then cross international waters on the straits of Malacca to the Pearl of the Orient, Penang, before returning to Singapore shores on 7th November.
Go here to book a cabin from as low as USD588 per person.
For more information, hit up their Facebook page or their website.
#ITS
#ITS2016
#ITSTHESHIP2016
It's The Ship 2016
Previous article#ZikaVirus: Symptoms, Risks, & Prevention Tips To Keep You & Your Family Safe
Next article#UPSR: Racist & Controversial Question Is Not From The Examination
#ITSTHESHIP2016: 8 Things We Loved About This Year's EDM Cruise Festival
Hype's Exclusive: MaRLo Is Ready To Bring His Signature Sound To #ITSTHESHIP2016
#ITSTHESHIP2016: Jaw-Dropping Line-Up Of More Than 60 Acts For This Year's Festival-Cruise
#ITS2016: Asia's Largest Music Festival At Sea Returns In November
#ItsTheShip2015: Peking Duk Wants Mark Ronson To "Uptown Funk You Up"
#ItsTheShip2015: Tigerlily Gears Up For Round 2 Of Asia's Largest Festival At Sea


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Sentences handed down in ongoing Norton County drug investigation
May 15, 2019 by Hays Post Leave a Comment
Norton Co. courthouse
Norton County Attorney
NORTON — Melissa M. Schoen, Norton County Attorney announces the sentencing of the following individuals in 2019 who were arrested by the Norton County Sheriff's Department and Norton Police Department as a result of their on-going drug investigations.
In January, Dawson Stevens was sentenced to the Department of Corrections for 41 months having been found guilty of Attempted Battery on a Law Enforcement Officer and Flee and Elude of Law Enforcement. After serving his prison sentence, Stevens will be under supervision with Community Corrections on post release and probation. He was also sentenced to the Department of Corrections for 32 months for having been found guilty of Distribution of Cocaine and Distribution of Methamphetamine. This sentence was suspended to 18 months of probation. Stevens must register as a drug offender with the Kansas Bureau of Investigation for 25 years as a result of the convictions for distribution of cocaine and methamphetamine.
In February, Kyle Burge was sentenced to the Department of Corrections for 32 months having been found guilty of Possession of Methamphetamine. His sentence was suspended to 18 months of probation with Community Corrections for the defendant to obtain drug treatment.
Also, in February, Jonathan Towery was sentenced to the Department of Corrections for 40 months having been found guilty of Possession of Methamphetamine and Distribution of Methamphetamine. The sentence was suspended to 18 months of probation with Community Corrections for the defendant to obtain drug treatment. Towery must register as a drug offender with the Kansas Bureau of Investigation for 15 years as a result of the conviction for distribution of methamphetamine.
In March, Joseph Gilbert was sentenced to the Department of Corrections for 49 months having been found guilty of Distribution of Methamphetamine. His sentence was suspended to 18 months of probation with Community Corrections for the defendant to obtain drug treatment. Gilbert must register as a drug offender with the Kansas Bureau of Investigation for 15 years as a result of the conviction for distribution of methamphetamine.
Also in March, Christopher Chastain was sentenced to the Department of Corrections for 48 months having been found guilty of Possession of Methamphetamine and Distribution of Methamphetamine. His sentence was suspended to 18 months of probation with Community Corrections for the defendant to obtain drug treatment. Chastain must register as a drug offender with the Kansas Bureau of Investigation for 15 years as a result of the conviction for distribution of methamphetamine.
On April 1, Wiyanna Burge was sentenced to the Department of Corrections for 51 months having been found guilty of Distribution of Marijuana and felony Possession of Drug Paraphernalia. Her sentence was suspended to 36 months of supervised probation with Community Corrections for the defendant to obtain drug and alcohol treatment.
On April 8, Michael Cliff was sentenced to the Department of Corrections for 27 months having been found guilty of Distribution of Methamphetamine. His sentence was suspended to 18 months of supervised probation with Court Services for the defendant to obtain drug and alcohol treatment. Cliff must register as a drug offender with the Kansas Bureau of Investigation for 15 years as a result of the conviction for distribution of methamphetamine.
Also on April 8, Cody Stewart was sentenced to the Department of Corrections for 29 months having been found guilty of Attempted Distribution of Methamphetamine, Unlawful Use a of Communication Facility, and Possession of Methamphetamine. His sentence was suspended to 18 months of supervised probation with court services.
"I would like to thank the Norton Sheriff's Department and the Norton Police Department for their ongoing investigations and continued hard work on cleaning up Norton County," Schoen said.


Involuntary urine leakage is the most common complaint of my patients. There are two types of urinary leakage: the most common is leakage with any activity which increases pressure in the abdomen. Coughing, sneezing, lifting, jumping, laughing can cause high bladder pressure which is transmitted to the urethra. If the muscles around the urethra are weak or have been stretched by childbirth, leaking results. Many times, pelvic floor exercises, commonly called Kegel exercises, can lead to better urinary control. This "stress" incontinence is also associated with pelvic floor relaxation/abnormalities requiring further testing and treatment.
The second type of incontinence is associated with a profound feeling of "urgency". This urgency results from an involuntary bladder contraction caused by a number of conditions including neurological problems, diabetes, hormone imbalances, pelvic relaxation and many others.
Usually, we evaluate this complex problem with URODYNAMIC STUDIES. This procedure takes about 30 minutes and involves a small catheter placed into the bladder through the urethra through which sterile saline is infused at a constant rate. The bladder fills slowly as the pressure within the bladder and abdomen is measures. We check other parameters during the test such as the bladder pressure it takes for you to leak, the pressure the bladder generates while voiding and the pressure within the urethra. Urodynamic testing gives us the information we need to advise therapy including exercises, behavior modification, medication and, sometimes, surgery.
A select few of our patients with urgency incontinence from a neurological condition may benefit from Botox injections into the bladder wall during cystoscopy. This is usually performed in the office with local anesthesia.


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Piano Teacher Stephen, Boon Keng
Mr Stephen
Nanyang Academy of Fine Arts (NAFA) Diploma in Music (Piano Performance),
ABRSM Piano Grade 8 (Passed with Distinction), ABRSM Music Theory Grade 8.
Stephen has an extensive teaching experience of 7 years, students from beginner to grade 8.
He is a well experience performer who has performed in both solo and with ensembles in various performance events/venues such as NAFA Music Platform concerts, NAFA library concert series "Musical Potpourri", NAFA Lee Foundation Theatre, Victoria Concert Hall, Yong Siew Toh Conservatory of Music, Esplanade Library, Yamaha Salon, etc. He obtained a Silver Award in the Singapore Performers' Festival in 2012 (Open category) held at the Yong Siew Toh Conservatory of Music, organized by the Singapore Music Teachers Association (SMTA). At NAFA, he had the privilege to study Piano under the tutelage of local eminent pianist, Dr. Paul Liang. Besides reinforcing his techniques in piano performing, Stephen has been taught various musical knowledge and skills through modules such as Practical Musicianship, Music Historical Studies, Instrumental and Vocal Teaching, Stylistic Studies, Keyboard Faculty Studies, Music Workshop, etc., which encompasses skills like Ear Training, Advanced Music Theory and Harmony, Counterpoint, score reading analytical skills, ensembleship and accompaniment skills, Conducting, and Music Pedagogy methods such as Kodály and Dalcroze. Other notable teachers that he has learned under during his course of study includes Mr. Lim Yau, Dr. Zechariah Goh, Dr. Nicholas Ong, Mrs Rena Phua, Ms Lena Ching, Dr. Eleanor Tan, Dr. Joyce Koh, etc.
Beside being a Classical pianist, Stephen is also a versatile musician who love to improvise contemporary music (Jazz, Rock, Pop, etc.) and also to compose/produce music. In year 2013, he was awarded the opportunity to further his musical training and achieving a certificate in Music Composing, Songwriting and Music Arranging in local record label, Ocean Butterflies Music, with a grant from the Media Development Authority (MDA) of Singapore. Through the six-months course, Stephen has reinforce his knowledge in various songwriting techniques used mainly in today's commercial pop songs and also to pick up arranging and producing skills through the use of technology.
Some of the music professionals and experts that he has learned under includes one of the most influential figures in Asian Chinese-Pop music industry – Songwriter-producer Billy Koh, local acclaimed music arranger/producer – George Leong, Singapore's own music duo – Jack & Rai, local prominent session guitarist – Daniel Chai, and many others. Till today, Stephen had arranged and produced numerous tracks with songs being broadcasted on local radio stations such as YES 933 and 100.3FM.
He is also a Songwriter member of COMPASS (Composers and Authors Society of Singapore) since year 2013. In 2016, Stephen won the First Prize Award in the 22nd Music Express songwriting competition held at Nanyang Technological University as the Keyboardist, Music Arranger and Producer. A few months ago, he was also given the opportunity to participate in composing and scoring for a local short film organized by Cine 65 known as "Neighbours".
As an music educator, Stephen prepare students for the renowned ABRSM/Trinity exams (Grade 1 – 8 Practical and Theory) from learning the required repertoire/pieces, scales, sight-reading technique, aural skills. He has taught in numerous music schools and music centres (Radin Mas Community Centre, Magic Fiddler, Faith Music Centre, We Music & Arts Studio), conducting both group and individual classes with students ranging from age 4 all the way to the age of 70. Stephen has managed to deliver 100% passes and at least a merit pass for all his students graded exams. Recently, one of his 10 years old student competed in the final round of the 2017 Singapore-Asia Youth Piano Competition and achieved a Silver Award in his category.
Besides being a teacher and a music producer, Stephen also shown great interest in collaborating with other musicians of various instruments hence he founded his own pop band known as "Free4All" with a intention to raise the quality in the local pop music scene and also to increase musical awareness to the general public.