enablejsapi=1&origin=*&rel=0&version=3&iv_load_policy=3&modestbranding=1&showinfo=0&autohide=1&disablekb=1&autoplay=1&autopause=0&cc_load_policy=0&startSeconds=30&widgetid=1"
src="https://www.enablejsapi=1&origin=*&start=122">
</iframe>
<script>
window.
i have some issue with a json stored in mysql TEXT field, the thing is that everything is OK until i use ' (single quote) the json then is saved \' and every time i save it back it appends a slash like: \' \\' \\' etc.then some characters are not encoded correctly \u00e0
<div class="wpbs-calendar-legend" data-info="{"default":{"name":{"default":"Available","hr":"Slobodno","cs":"Volno","da":"Ledigt","nl":"Vrij","en":"Available","fr":"Libre","de":"Frei","hu":"Szabad","it":"Libero","ro":"Disponobil","ru":"\u0414\u043e\u0441\u0442\u0443\u043f\u043d\u043e","sk":"Vo\u013en\u00fd","es":"Libre","sv":"Ledigt","uk":"B\u0456\u043b\u044c\u043d\u043e","no":""},"color":"#f1ffcc","splitColor":false,"bookable":"yes","auto-pending":"no","sync":"no"},"1":{"name":{"default":"Booked","hr":"Zauzeto","cs":"Obsazeno","da":"Booket","nl":"Bezet","en":"Booked","fr":"Occup\u00e9","de":"Belegt","hu":"Foglalt","it":"Prenotato","ro":"Rezervat","ru":"\u0417\u0430\u043d\u044f\u0442\u043e","sk":"Obsaden\u00fd","es":"Reservado","sv":"Bokat","uk":"\u0417\u0430\u0439\u043d\u044f\u0442\u043e","no":""},"color":"#ff524c","splitColor":false,"bookable":false,"auto-pending":"yes","sync":"yes"},"2":{"name":{"en":">14H","nl":"","et":"","fi":"","fr":"D\u00e8s 14H","de":"","pt":"","ro":"","default":"D\u00e8s 14H"},"color":"#f1ffcc","splitColor":"#ff524c","bookable":"yes","hide":false,"auto-pending":"no","sync":"no"},"3":{"name":{"en":"<12H","nl":"","et":"","fi":"","fr":"Jusqu\\" \u00e0="" 10h","de":"","pt":"","ro":"","default":"jusqu\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'\u00e0="" 10h"},"color":"#ff524c","splitcolor":"#f1ffcc","bookable":"yes","hide":false,"auto-pending":"no","sync":"no"}}'=""></div>
and in my insepct window looks like this:
I am using WordPress so this json_encoded string is saved using update_option into the database.
org/1998/Math/MathML"><mrow><mrow><mo>(</mo><mrow><mrow><mi mathcolor="#443399">NIR</mi><mo>-</mo><mrow><mn>0.66</mn><mo>&#x2062;</mo><mfrac><mrow><mi mathcolor="#443399">1600nm</mi></mrow><mrow><mrow><mrow><mi mathcolor="#443399">NIR</mi><mo>+</mo><mrow><mn>0.
The error only happens when the web service returns a error like this:
<descError>CONTRACT DOES NOT EXIST �������������������� �������������������� </descError>
The error is clear, the web service return an XML 1.xml.
09216 \\
- & - & - & - & - & 0.09216 \\
- & - & - & - & - & - & 0.
=\log(2)$$
which is the second column in:
Logarithms of $n$:
$$T_1 = \begin{bmatrix} 0&0&0&0&0&0&0 \\ 1&-1&1&-1&1&-1&1 \\ 1&1&-2&1&1&-2&1 \\ 1&1&1&-3&1&1&1 \\ 1&1&1&1&-4&1&1 \\ 1&1&1&1&1&-5&1 \\ 1&1&1&1&1&1&-6 \end{bmatrix}$$
It turns out that:
$$1+\frac{1}{2}-\frac{2}{3}+\frac{1}{4}+\frac{1}{5}-\frac{2}{6}.The recurrence describing matrix $T_1$ is:
$$\displaystyle T_1(1,n)=0; n>1: T_1(n,k) = \sum\limits_{i=1}^{n-1} T_1(n,k-i)$$
It is natural to ask what this recurrence might do when applying it symmetrically,
like this:
$$\displaystyle T_2(n,1)=1, T_2(1,k)=1, n>=k: -\sum\limits_{i=1}^{k-1} T_2(n-i,k), n<k: -\sum\limits_{i=1}^{n-1} T_2(k-i,n)$$
von Mangoldt function matrix:
$$\displaystyle T_2 = \begin{bmatrix} +1&+1&+1&+1&+1&+1&+1&\cdots \\ +1&-1&+1&-1&+1&-1&+1 \\ +1&+1&-2&+1&+1&-2&+1 \\ +1&-1&+1&-1&+1&-1&+1 \\ +1&+1&+1&+1&-4&+1&+1 \\ +1&-1&-2&-1&+1&+2&+1 \\ +1&+1&+1&+1&+1&+1&-6 \\ \vdots&&&&&&&\ddots \end{bmatrix}
$$
Here we then have $\log(2)$ in the second column and second row.
We are thus looking for a solution of the following grid:
$$\begin{array}{|ccc|ccc|ccc|ccc|ccc|}
\hline
1&&&2&&&&&&&&&&&&\\
\strut&&&&&&&&&&&&&&&\\
\strut&&&&&&&&&&&&&&&\\
\hline
&&&1&&&2&&&&&&&&&\\
&&&&&&&&&&&&&&\cdots&\\
&&&&&&&&\ddots&&&&&&&\\
\hline
2&&&&&&&&&1&&&&&&\\
\strut&&&&&&&&&&&&&&&\\
\strut&&&&&&&&&&&&&&&\\
\hline
\strut&&&&&&&&&&&&&&&\\
\strut&&&&\vdots&&&&&&&&&&&\\
\strut&&&&&&&&&&&&&&&\\
\hline
\end{array}$$
where the upper part is a $q'\times q'$ subgrid, $q'=q/2$.$S$ is not included in the complement of a Sudoku permutation of one of the following sets:
a) $\{r_1,r_2\}$
b) $\{r_1,c_1,b_1\}$
c) $\{b_1,b_2,b_4,b_5\}$
d) $\{r_1,r_4,b_1,b_4\}$
e) $\{r_1,c_1,b_2,b_4,b_5\}$
f) $\{b_2,b_3,b_4,b_6,b_7,b_8\}$
g) $\{r_1,r_4,b_1,b_5,b_7,b_8\}$
h) $\{r_1,c_1,b_3,b_5,b_6,b_7,b_8\}$
Maximal incomplete sets http://math.
:Dokumentation&&&KKS-Nummer&&&Beschreibung&&&Seite)(&&&([^(&&&)]+)&&&([^(&&&)]+)&&&(\d+))+
The test string:
%5B"Deckblatt: Anlagendokumentation&&&Produktdaten&&&KKS-Nummer&&&Hersteller&&&Typ&&&Artikelnummer&&&MA-KF1&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF11&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF12&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF13&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF14&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF15&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF16&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF17&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF18&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF19&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF20&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF21&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF22&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF23&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF24&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF25&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF26&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF27&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF28&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF29&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF30&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF31&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF32&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF33&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF34&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF35&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF36&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF37&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF38&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF39&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF40&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&MA-KF41&&&Beckhoff&&&EK1100&&&BECK%2EEK1100&&&Dokumentation&&&KKS-Nummer&&&Beschreibung&&&Seite&&&all&&&Vorwort&&&6&&&all&&&Produktübersicht&&&7&&&all&&&Grundlagen&&&8&&&all&&&Montage und Verdrahtung&&&9&&&all&&&Inbetriebnahme%2FAnwendungshinweise&&&10&&&all&&&Fehlerbehandlung und Diagnose&&&11&&&all&&&Anhang 1&&&12&&&all&&&Anhang 2&&&13&&&all&&&Anhang 3&&&14&&&all&&&Anhang 4&&&15&&&all&&&Anhang 5&&&16&&&all&&&Anhang 6&&&17&&&all&&&Anhang 7&&&18&&&all&&&Anhang 8&&&19&&&all&&&Anhang 9&&&20&&&all&&&Anhang 10&&&21&&&all&&&Anhang 11&&&22&&&all&&&Anhang 12&&&23&&&all&&&Anhang 13&&&24&&&all&&&Anhang 14&&&25&&&all&&&Anhang 15&&&26&&&all&&&Anhang 16&&&27&&&all&&&Anhang 17&&&28&&&all&&&Anhang 18&&&29&&&all&&&Anhang 19&&&30&&&all&&&Anhang 20&&&31&&&all&&&Anhang 21&&&32&&&all&&&Anhang 22&&&33&&&all&&&Anhang 23&&&34&&&all&&&Anhang 24&&&35&&&all&&&Anhang 25&&&36&&&all&&&Anhang 26&&&37&&&all&&&Anhang 27&&&38&&&all&&&Anhang 28&&&39&&&all&&&Anhang 29&&&40&&&all&&&Anhang 30&&&41&&&all&&&Anhang 31&&&42&&&all&&&Anhang 32&&&43&&&all&&&Anhang 33&&&44&&&all&&&Anhang 34&&&45&&&all&&&Anhang 35&&&46&&&all&&&Anhang 36&&&47&&&all&&&Anhang 37&&&48&&&all&&&Anhang 38&&&49&&&all&&&Anhang 39&&&50&&&all&&&Anhang 40&&&51&&&all&&&Anhang 41&&&52&&&all&&&Anhang 42&&&53"%5D
The regex I wrote should get a first group, which appears after /Artikelnummer/ and before /Dokumentation&&&/ (etc), as well as a second group, which is what I'm having trouble with:
It should consist of repetitions of this pattern: (&&&([^(&&&)]+)&&&([^(&&&)]+)&&&(\d+)+
By my reckoning, that should capture the entire substring:
&&&all&&&Vorwort&&&6&&&all&&&Produktübersicht&&&7&&&all&&&Grundlagen&&&8&&&all&&&Montage und Verdrahtung&&&9&&&all&&&Inbetriebnahme%2FAnwendungshinweise&&&10&&&all&&&Fehlerbehandlung und Diagnose&&&11&&&all&&&Anhang 1&&&12&&&all&&&Anhang 2&&&13&&&all&&&Anhang 3&&&14&&&all&&&Anhang 4&&&15&&&all&&&Anhang 5&&&16&&&all&&&Anhang 6&&&17&&&all&&&Anhang 7&&&18&&&all&&&Anhang 8&&&19&&&all&&&Anhang 9&&&20&&&all&&&Anhang 10&&&21&&&all&&&Anhang 11&&&22&&&all&&&Anhang 12&&&23&&&all&&&Anhang 13&&&24&&&all&&&Anhang 14&&&25&&&all&&&Anhang 15&&&26&&&all&&&Anhang 16&&&27&&&all&&&Anhang 17&&&28&&&all&&&Anhang 18&&&29&&&all&&&Anhang 19&&&30&&&all&&&Anhang 20&&&31&&&all&&&Anhang 21&&&32&&&all&&&Anhang 22&&&33&&&all&&&Anhang 23&&&34&&&all&&&Anhang 24&&&35&&&all&&&Anhang 25&&&36&&&all&&&Anhang 26&&&37&&&all&&&Anhang 27&&&38&&&all&&&Anhang 28&&&39&&&all&&&Anhang 29&&&40&&&all&&&Anhang 30&&&41&&&all&&&Anhang 31&&&42&&&all&&&Anhang 32&&&43&&&all&&&Anhang 33&&&44&&&all&&&Anhang 34&&&45&&&all&&&Anhang 35&&&46&&&all&&&Anhang 36&&&47&&&all&&&Anhang 37&&&48&&&all&&&Anhang 38&&&49&&&all&&&Anhang 39&&&50&&&all&&&Anhang 40&&&51&&&all&&&Anhang 41&&&52&&&all&&&Anhang 42&&&53
But, for some reason, the only string in group 2 is:
&&&Anhang 42&&&53
Why is this happening?You get &&&all&&&Anhang 42&&&53 in Group 2 because the (pattern)+ is a repeated capturing group that stores only the value captured at the last iteration.
html(); 
});
</code></pre>

<p>What you are doing is iterating through all the trs in the table, finding the first td in the current tr in the loop, and extracting its inner html.html(); 
});
</code></pre>

<p>In the above code, I will be retrieving the value of the <strong>third row</strong> (the index is zero-based, so the first cell index would be 0)</p>

<hr>

<p>Here's how you can do it without jQuery:</p>

<pre><code>var table = document.
$$
A morphism of $n$-extensions of $Y$ by $X$ is defined to be a hammock
$$\begin{matrix}
&&A_1&\to&A_2&\to&A_3&\to&\ldots&\to &A_{n-2}&\to &A_{n-1}&\to& A_{n}&&\\
&\nearrow&\downarrow&&\downarrow&&\downarrow&&&&\downarrow&&\downarrow&&\downarrow&\searrow&\\
X&&\downarrow&&\downarrow&&\downarrow&&&&\downarrow&&\downarrow&&\downarrow&&Y\\
&\searrow&\downarrow&&\downarrow&&\downarrow&&&&\downarrow&&\downarrow&&\downarrow&\nearrow&\\
&&B_1&\to&B_2&\to&B_3&\to&\ldots&\to &B_{n-2}&\to &B_{n-1}&\to& B_{n}&&\end{matrix}$$
This detetermines a category $n\operatorname{-ext}(Y,X)$.Questions:
Why can we get $\pi_1$ of the function complex by looking at maps into $N[1]$?
vedaadvantage/dp3/connectors"&gt;&lt;enquiryReport&gt;&lt;primaryMatch&gt;&lt;bureauReference&gt;805917662&lt;/bureauReference&gt;&lt;individual&gt;&lt;individualName&gt;&lt;familyName&gt;MOHAMMADINEJAD&lt;/familyName&gt;&lt;firstGivenName&gt;ALI&lt;/firstGivenName&gt;&lt;createDate&gt;2014-07-15&lt;/createDate&gt;&lt;/individualName&gt;&lt;gender&gt;male&lt;/gender&gt;&lt;dateOfBirth&gt;1982-01-06&lt;/dateOfBirth&gt;&lt;driversLicenceNumber&gt;&lt;countryCodes&gt;AU&lt;/countryCodes&gt;&lt;value/&gt;&lt;/driversLicenceNumber&gt;&lt;b:address&gt;&lt;b:unitNumber/&gt;&lt;b:streetNumber&gt;43&lt;/b:streetNumber&gt;&lt;b:property&gt;43&lt;/b:property&gt;&lt;b:streetName&gt;KING EDWARD&lt;/b:streetName&gt;&lt;b:streetType&gt;AVE&lt;/b:streetType&gt;&lt;b:suburb&gt;ALBION&lt;/b:suburb&gt;&lt;b:city/&gt;&lt;b:state&gt;VIC&lt;/b:state&gt;&lt;b:postcode&gt;3020&lt;/b:postcode&gt;&lt;b:countryCode&gt;AU&lt;/b:countryCode&gt;&lt;b:addressType&gt;residentialCurrent&lt;/b:addressType&gt;&lt;b:createDate&gt;2015-09-04&lt;/b:createDate&gt;&lt;/b:address&gt;&lt;/individual&gt;&lt;individualConsumerCreditFile&gt;&lt;creditEnquiry&gt;&lt;accountType&gt;&lt;accountType&gt;UA&lt;/accountType&gt;&lt;value&gt;Utilities&lt;/value&gt;&lt;/accountType&gt;&lt;role&gt;&lt;consumerRoleTypeCodesResponse&gt;principal&lt;/consumerRoleTypeCodesResponse&gt;&lt;/role&gt;&lt;enquiryAmount&gt;&lt;currencyCodeType/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/enquiryAmount&gt;&lt;coBorrower/&gt;&lt;creditEnquirer&gt;AGL ENGY SALES &amp; MKTG LTD&lt;/creditEnquirer&gt;&lt;clientReference/&gt;&lt;consumerCreditEnquiryTypeResponse&gt;creditApplication&lt;/consumerCreditEnquiryTypeResponse&gt;&lt;enquiryDate&gt;2015-09-04&lt;/enquiryDate&gt;&lt;/creditEnquiry&gt;&lt;creditEnquiry&gt;&lt;accountType&gt;&lt;accountType&gt;TC&lt;/accountType&gt;&lt;value&gt;Telecommunication Service&lt;/value&gt;&lt;/accountType&gt;&lt;role&gt;&lt;consumerRoleTypeCodesResponse&gt;principal&lt;/consumerRoleTypeCodesResponse&gt;&lt;/role&gt;&lt;enquiryAmount&gt;&lt;currencyCodeType/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/enquiryAmount&gt;&lt;coBorrower/&gt;&lt;creditEnquirer&gt;VODAFONE DECISION POINT&lt;/creditEnquirer&gt;&lt;clientReference&gt;1-DCQJWZG&lt;/clientReference&gt;&lt;consumerCreditEnquiryTypeResponse&gt;creditApplication&lt;/consumerCreditEnquiryTypeResponse&gt;&lt;enquiryDate&gt;2014-07-15&lt;/enquiryDate&gt;&lt;/creditEnquiry&gt;&lt;/individualConsumerCreditFile&gt;&lt;individualCommercialCreditFile&gt;&lt;creditEnquiry&gt;&lt;accountType&gt;&lt;commercialAccountTypeCodesResponse&gt;CR&lt;/commercialAccountTypeCodesResponse&gt;&lt;value&gt;Commercial Rental&lt;/value&gt;&lt;/accountType&gt;&lt;enquiryAmount&gt;&lt;currencyCodeType/&gt;&lt;value&gt;25000&lt;/value&gt;&lt;/enquiryAmount&gt;&lt;role&gt;&lt;commercialRoleTypeCodesResponse&gt;principal&lt;/commercialRoleTypeCodesResponse&gt;&lt;/role&gt;&lt;coBorrower/&gt;&lt;creditEnquirer&gt;GOGETTA EQUIPMENT FUNDING&lt;/creditEnquirer&gt;&lt;clientReference/&gt;&lt;commercialCreditEnquiryTypeResponse&gt;creditEnquiry&lt;/commercialCreditEnquiryTypeResponse&gt;&lt;enquiryDate&gt;2016-04-04&lt;/enquiryDate&gt;&lt;/creditEnquiry&gt;&lt;/individualCommercialCreditFile&gt;&lt;matchType&gt;strong&lt;/matchType&gt;&lt;/primaryMatch&gt;&lt;summaryData&gt;&lt;summary&gt;&lt;name&gt;enquiry-amount&lt;/name&gt;&lt;summaryType&gt;amount&lt;/summaryType&gt;&lt;currencyCode&gt;AUD&lt;/currencyCode&gt;&lt;value&gt;25000&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;age-of-file&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;20&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;age-of-subject&lt;/name&gt;&lt;summaryType&gt;years&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;34&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-at-address&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;7&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-at-employer&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value/&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;total-value-of-outstanding-defaults&lt;/name&gt;&lt;summaryType&gt;amount&lt;/summaryType&gt;&lt;currencyCode&gt;AUD&lt;/currencyCode&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-12-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-12-unpaid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-24-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-24-unpaid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-36-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-36-unpaid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-since-last-default&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value/&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;total-credit-enquiries&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;3&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-1&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-3&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-6&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;2&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-60&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;3&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-since-last-enquiry&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;7&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-defaults&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-defaults-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-enquiries&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;2&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-enquiries-6&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-enquiries-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;authorised-agents-enquiries-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;authorised-agents-enquiries-60&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;directorships-current&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;directorships-previous&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;judgements&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;proprietorships&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;adverse-on-file&lt;/name&gt;&lt;summaryType/&gt;&lt;currencyCode/&gt;&lt;value&gt;No&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;file-notes&lt;/name&gt;&lt;summaryType/&gt;&lt;currencyCode/&gt;&lt;value&gt;No&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;known-identities&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;bankruptcies&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;writs-and-summons&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;external-administration-director&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;/summaryData&gt;&lt;scoreData&gt;&lt;score&gt;&lt;scorecardModel&gt;0303&lt;/scorecardModel&gt;&lt;relativeRisk&gt;2.9&lt;/applicantOdds&gt;&lt;contributingFactor&gt;&lt;impact&gt;Greatly Decreases Risk&lt;/impact&gt;&lt;value&gt;Lack of Consumer Adverse Information&lt;/value&gt;&lt;/contributingFactor&gt;&lt;contributingFactor&gt;&lt;impact&gt;Moderately Decreases Risk&lt;/impact&gt;&lt;value&gt;Number of Consumer Credit Applications&lt;/value&gt;&lt;/contributingFactor&gt;&lt;contributingFactor&gt;&lt;impact&gt;Marginally Decreases Risk&lt;/impact&gt;&lt;value&gt;Individual Shopping Pattern&lt;/value&gt;&lt;/contributingFactor&gt;&lt;contributingFactor&gt;&lt;impact&gt;Marginally Decreases Risk&lt;/impact&gt;&lt;value&gt;Current and Historic Credit Type Sought&lt;/value&gt;&lt;/contributingFactor&gt;&lt;population&gt;&lt;populationOdds&gt;11.
doctype html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.[endif]-->
<div>
<table align="center" border="0" cellpadding="0" cellspacing="0" width="100%">
<tr>
<td valign="middle" style="text-align: center; padding: 40px; font-family: sans-serif; font-size: 15px; mso-height-rule: exactly; line-height: 20px; color: #ffffff;"> </td>
</tr>
</table>
</div>
<!
Suppose $d>1$ is a natural number.I am trying to compute traces of products of $2^d \times 2^d$ matrices of the form Tr($A_{i,d}A_{j,d}\cdots A_{k,d}$) where $A_{i,d}$ are of the form:
$$
A_{0,3}=\begin{bmatrix}
0&1&0&0&0&0&0&0\\
1&0&1&0&0&0&0&0\\
0&1&0&1&0&0&0&0\\
0&0&1&0&1&0&0&0\\
0&0&0&1&0&1&0&0\\
0&0&0&0&1&0&1&0\\
0&0&0&0&0&1&0&1\\
0&0&0&0&0&0&1&0\\
\end{bmatrix}
\qquad A_{1,3}=\begin{bmatrix}
0&0&1&1&0&0&0&0\\
0&0&1&1&0&0&0&0\\
1&1&0&0&1&1&0&0\\
1&1&0&0&1&1&0&0\\
0&0&1&1&0&0&1&1\\
0&0&1&1&0&0&1&1\\
0&0&0&0&1&1&0&0\\
0&0&0&0&1&1&0&0\\
\end{bmatrix}
\quad
A_{2,3} =
\begin{bmatrix}
0&0&0&0&1&1&1&1\\
0&0&0&0&1&1&1&1\\
0&0&0&0&1&1&1&1\\
0&0&0&0&1&1&1&1\\
1&1&1&1&0&0&0&0\\
1&1&1&1&0&0&0&0\\
1&1&1&1&0&0&0&0\\
1&1&1&1&0&0&0&0\\
\end{bmatrix}
\quad
A_{3,3} = \begin{bmatrix}
1&1&1&1&1&1&1&1\\
1&1&1&1&1&1&1&1\\
1&1&1&1&1&1&1&1\\
1&1&1&1&1&1&1&1\\
1&1&1&1&1&1&1&1\\
1&1&1&1&1&1&1&1\\
1&1&1&1&1&1&1&1\\
1&1&1&1&1&1&1&1\\
\end{bmatrix}
$$
I'm not sure how to proceed to compute the traces (looks difficult I think).
How do I know if the convex hull is the smallest possible without using brute force?Here is an example:
We have the 9X9 adjacency matrix,
\begin{Vmatrix}
0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\
0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\
\end{Vmatrix}
which with dots is:
\begin{Vmatrix}
& & & & \cdot & & & & \\
& & & & & \cdot & & & \\
\cdot & & & & & & & & \\
& & & & & \cdot & & & \\
& & & & & \cdot & & & \\
& & & & & & & & &\\
\cdot & & & & & & & & \\
\cdot & & & & & & & & \\
& & & \cdot & & & & & \\
\end{Vmatrix}
then rearranged is:
\begin{Vmatrix}
& \cdot & & & & & & & \\
& & \cdot & & & & & & \\
\cdot & & & & & & & & \\
& & \cdot & & & & & & \\
& & \cdot & & & & & & \\
\cdot & & & & & & & & \\
\cdot & & & & & & & & \\
& & & \cdot & & & & & \\
& & & & & & & & \\
\end{Vmatrix}
with the convex hull of the latter clearly having the smaller area.
I came across this question:
How can we turn any number into a prime number by simply adding more digits?This table shows the results for p up to 100:
\begin{align*}
7 && 67 \\
11 && 16661 \\
13 && 163 \\
17 && 167 \\
19 && 1669 \\
23 && 263 \\
29 && 269 \\
31 && 3666661 \\
37 && 367 \\
41 && 461 \\
43 && 463 \\
47 && 467 \\
53 && 563 \\
59 && 569 \\
61 && 661 \\
67 && 666667 \\
71 && 761 \\
73 && 76666663 \\
79 && 769 \\
83 && 863 \\
89 && 8669 \\
97 && 967 \\
\end{align*}
There were only 2 numbers below $200000$ for which I could not find a result:
$15731$ and $75989$.
Is there any way I can calculate the expected value of geometric distribution without diffrentiation?)
$$
\begin{array}{cccccccccccccccccccccccc}
& 0 & & 1 & & 2 & & 3 & & 4 & & 5 & & 6 \\
\hline
& & & p^1 & + & 2p^2 & + & 3p^3 & + & 4p^4 & + & 5p^5 & + & 6p^6 & + & \cdots & {} \\[12pt]
= & & & p^1 & + & p^2 & + & p^3 & + & p^4 & + & p^5 & + & p^6 & + & \cdots \\
& & & & + & p^2 & + & p^3 & + & p^4 & + & p^5 & + & p^6 & + & \cdots \\
& & & & & & + & p^3 & + & p^4 & + & p^5 & + & p^6 & + & \cdots \\
& & & & & & & & + & p^4 & + & p^5 & + & p^6 & + & \cdots \\
& & & & & & & & & & + & p^5 & + & p^6 & + & \cdots \\
& & & & & & & & & & & & + & p^6 & + & \cdots \\
& & & & & & & & & & & & & & + & \cdots \\
& & & & & & & & & & & & & & \vdots
\end{array}
$$
First sum each (horizontal) row.
$$A=\begin{bmatrix} n-2&0&1&1&1&\ldots &1\\0 &n-2&1&1&1&\ldots &1\\1&1&n-1&1&1&\ldots &1\\1&1&1&n-1&1&\ldots &1\\1&1&1&1&n-1&\ldots &1\\\ldots&\ldots&\ldots&\ldots&\ldots&\ldots&\ldots\\\ldots&\ldots&\ldots&\ldots&\ldots&\ldots&\ldots\\1&1&1&1&1&\ldots &n-1\end{bmatrix}.76,2,2,5.
The canonical-form transition matrix for this process is thus $$P=\left[\begin{array}{cccccc|c}0&p_0&0&0&0 & \cdots & 0 \\ q_1&0&p_1&0&0 & \cdots & 0 \\ 0&q_2&0&p_2&0 & \cdots & 0\\ 0&0&q_3&0&p_3 & \cdots & 0 \\ \vdots&\ddots&\ddots&\ddots&\ddots&\ddots&\vdots \\ 0&0&0&0&0& \cdots &p_8 \\ \hline 0&0&0&0&0 & \cdots & 1\end{array}\right].Consider the matrix for this Markov chain: $$P=\left[\begin{array}{cccccccccc}
0&1&&&&&&&&\\
1-p_{1}&0&p_{1}&&&\ddots&&&&\\
&1-p_{2}&0&p_{2}&&&0&&&\\
&&1-p_{3}&0&p_{3}&&&\ddots&&\\
&&&1-p_{4}&0&p_{4}&&&&\\
&&&&1-p_{5}&0&p_{5}&&&\\
&&\ddots&&&1-p_{6}&0&p_{6}&&\\
&&&0&&&1-p_{7}&0&p_{7}&\\
&&&&\ddots&&&1-p_{8}&0&p_{8}\\
&&&&&&&&0&1\end{array}\right],$$ where the transition probability of going from state $i$ to state $j$ is $P_{i,j}$ for each $0\leq i,j\leq 9.
0000000000 & & & & & & & \\
2 &1.5000000000 & & & & & & \\
4 &1.
vedaadvantage/dp3/connectors"&gt;&lt;enquiryReport&gt;&lt;primaryMatch&gt;&lt;bureauReference&gt;805917662&lt;/bureauReference&gt;&lt;individual&gt;&lt;individualName&gt;&lt;familyName&gt;MOHAMMADINEJAD&lt;/familyName&gt;&lt;firstGivenName&gt;ALI&lt;/firstGivenName&gt;&lt;createDate&gt;2014-07-15&lt;/createDate&gt;&lt;/individualName&gt;&lt;gender&gt;male&lt;/gender&gt;&lt;dateOfBirth&gt;1982-01-06&lt;/dateOfBirth&gt;&lt;driversLicenceNumber&gt;&lt;countryCodes&gt;AU&lt;/countryCodes&gt;&lt;value/&gt;&lt;/driversLicenceNumber&gt;&lt;b:address&gt;&lt;b:unitNumber/&gt;&lt;b:streetNumber&gt;43&lt;/b:streetNumber&gt;&lt;b:property&gt;43&lt;/b:property&gt;&lt;b:streetName&gt;KING EDWARD&lt;/b:streetName&gt;&lt;b:streetType&gt;AVE&lt;/b:streetType&gt;&lt;b:suburb&gt;ALBION&lt;/b:suburb&gt;&lt;b:city/&gt;&lt;b:state&gt;VIC&lt;/b:state&gt;&lt;b:postcode&gt;3020&lt;/b:postcode&gt;&lt;b:countryCode&gt;AU&lt;/b:countryCode&gt;&lt;b:addressType&gt;residentialCurrent&lt;/b:addressType&gt;&lt;b:createDate&gt;2015-09-04&lt;/b:createDate&gt;&lt;/b:address&gt;&lt;/individual&gt;&lt;individualConsumerCreditFile&gt;&lt;creditEnquiry&gt;&lt;accountType&gt;&lt;accountType&gt;UA&lt;/accountType&gt;&lt;value&gt;Utilities&lt;/value&gt;&lt;/accountType&gt;&lt;role&gt;&lt;consumerRoleTypeCodesResponse&gt;principal&lt;/consumerRoleTypeCodesResponse&gt;&lt;/role&gt;&lt;enquiryAmount&gt;&lt;currencyCodeType/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/enquiryAmount&gt;&lt;coBorrower/&gt;&lt;creditEnquirer&gt;AGL ENGY SALES &amp; MKTG LTD&lt;/creditEnquirer&gt;&lt;clientReference/&gt;&lt;consumerCreditEnquiryTypeResponse&gt;creditApplication&lt;/consumerCreditEnquiryTypeResponse&gt;&lt;enquiryDate&gt;2015-09-04&lt;/enquiryDate&gt;&lt;/creditEnquiry&gt;&lt;creditEnquiry&gt;&lt;accountType&gt;&lt;accountType&gt;TC&lt;/accountType&gt;&lt;value&gt;Telecommunication Service&lt;/value&gt;&lt;/accountType&gt;&lt;role&gt;&lt;consumerRoleTypeCodesResponse&gt;principal&lt;/consumerRoleTypeCodesResponse&gt;&lt;/role&gt;&lt;enquiryAmount&gt;&lt;currencyCodeType/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/enquiryAmount&gt;&lt;coBorrower/&gt;&lt;creditEnquirer&gt;VODAFONE DECISION POINT&lt;/creditEnquirer&gt;&lt;clientReference&gt;1-DCQJWZG&lt;/clientReference&gt;&lt;consumerCreditEnquiryTypeResponse&gt;creditApplication&lt;/consumerCreditEnquiryTypeResponse&gt;&lt;enquiryDate&gt;2014-07-15&lt;/enquiryDate&gt;&lt;/creditEnquiry&gt;&lt;/individualConsumerCreditFile&gt;&lt;individualCommercialCreditFile&gt;&lt;creditEnquiry&gt;&lt;accountType&gt;&lt;commercialAccountTypeCodesResponse&gt;CR&lt;/commercialAccountTypeCodesResponse&gt;&lt;value&gt;Commercial Rental&lt;/value&gt;&lt;/accountType&gt;&lt;enquiryAmount&gt;&lt;currencyCodeType/&gt;&lt;value&gt;25000&lt;/value&gt;&lt;/enquiryAmount&gt;&lt;role&gt;&lt;commercialRoleTypeCodesResponse&gt;principal&lt;/commercialRoleTypeCodesResponse&gt;&lt;/role&gt;&lt;coBorrower/&gt;&lt;creditEnquirer&gt;GOGETTA EQUIPMENT FUNDING&lt;/creditEnquirer&gt;&lt;clientReference/&gt;&lt;commercialCreditEnquiryTypeResponse&gt;creditEnquiry&lt;/commercialCreditEnquiryTypeResponse&gt;&lt;enquiryDate&gt;2016-04-04&lt;/enquiryDate&gt;&lt;/creditEnquiry&gt;&lt;/individualCommercialCreditFile&gt;&lt;matchType&gt;strong&lt;/matchType&gt;&lt;/primaryMatch&gt;&lt;summaryData&gt;&lt;summary&gt;&lt;name&gt;enquiry-amount&lt;/name&gt;&lt;summaryType&gt;amount&lt;/summaryType&gt;&lt;currencyCode&gt;AUD&lt;/currencyCode&gt;&lt;value&gt;25000&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;age-of-file&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;20&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;age-of-subject&lt;/name&gt;&lt;summaryType&gt;years&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;34&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-at-address&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;7&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-at-employer&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value/&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;total-value-of-outstanding-defaults&lt;/name&gt;&lt;summaryType&gt;amount&lt;/summaryType&gt;&lt;currencyCode&gt;AUD&lt;/currencyCode&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-12-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-12-unpaid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-24-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-24-unpaid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-36-paid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;defaults-36-unpaid&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-since-last-default&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value/&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;total-credit-enquiries&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;3&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-1&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-3&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-6&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;2&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;credit-enquiries-60&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;3&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;time-since-last-enquiry&lt;/name&gt;&lt;summaryType&gt;months&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;7&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-defaults&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-defaults-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-enquiries&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;2&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-enquiries-6&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;telco-and-utility-enquiries-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;authorised-agents-enquiries-12&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;authorised-agents-enquiries-60&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;directorships-current&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;directorships-previous&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;judgements&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;proprietorships&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;adverse-on-file&lt;/name&gt;&lt;summaryType/&gt;&lt;currencyCode/&gt;&lt;value&gt;No&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;file-notes&lt;/name&gt;&lt;summaryType/&gt;&lt;currencyCode/&gt;&lt;value&gt;No&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;known-identities&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;1&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;bankruptcies&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;writs-and-summons&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;summary&gt;&lt;name&gt;external-administration-director&lt;/name&gt;&lt;summaryType&gt;count&lt;/summaryType&gt;&lt;currencyCode/&gt;&lt;value&gt;0&lt;/value&gt;&lt;/summary&gt;&lt;/summaryData&gt;&lt;scoreData&gt;&lt;score&gt;&lt;scorecardModel&gt;0303&lt;/scorecardModel&gt;&lt;relativeRisk&gt;2.9&lt;/applicantOdds&gt;&lt;contributingFactor&gt;&lt;impact&gt;Greatly Decreases Risk&lt;/impact&gt;&lt;value&gt;Lack of Consumer Adverse Information&lt;/value&gt;&lt;/contributingFactor&gt;&lt;contributingFactor&gt;&lt;impact&gt;Moderately Decreases Risk&lt;/impact&gt;&lt;value&gt;Number of Consumer Credit Applications&lt;/value&gt;&lt;/contributingFactor&gt;&lt;contributingFactor&gt;&lt;impact&gt;Marginally Decreases Risk&lt;/impact&gt;&lt;value&gt;Individual Shopping Pattern&lt;/value&gt;&lt;/contributingFactor&gt;&lt;contributingFactor&gt;&lt;impact&gt;Marginally Decreases Risk&lt;/impact&gt;&lt;value&gt;Current and Historic Credit Type Sought&lt;/value&gt;&lt;/contributingFactor&gt;&lt;population&gt;&lt;populationOdds&gt;11.