Turing machine that can read and write simultaneously equivalence proof

How would I go about proving that a TM that can both read and write at the same time is equivalent to a typical TM?

For constructing a read+write TM from normal TMs, my idea is to split the state of writing and reading simultaneously to two separate states (one for writing and one for reading). Not quite sure if this works..

Also, am not sure how to construct a normal TM from read+write TM.

Thank you!

Does timestamp protocol following thomas’s write rule allow non-view-serializable schedules in some cases?

I have came across following line in text book (Database System Concepts Textbook by Avi Silberschatz, Henry F. Korth, and S. Sudarshan $ 6e$ ) page no. 686:

Thomas’ write rule allows schedules that are not conflict serializable but are nevertheless correct. Those non-conflict-serializable schedules allowed satisfy the definition of view serializable schedules (see example box).

What I understood from above lines is that every schedule generated by timestamp protocol following thomas’s write rule is view serializable.

Now let’s take following little schedule: $ S: R_1(X), W_2(X), W_1(X)$ .

This schedule $ S$ is allowed under timestamp protocol which follows thomas’s write rule.

And serialization order is $ R_1(X), W_1(X).$

But I was not able to prove that it is view serializable.

Actually I think that it is non-view serializable because,

  1. Consider serial order as $ T_1, T_2$

    Now final value of $ X$ is being written by $ T_2$ . So not equivalent.

  2. Next alternative serial order is $ T_2, T_1$

    here, $ R_1(X)$ will read value of $ X$ written by $ T_1$ not original value which was there before start of both transaction. So this too is not view-equivalent.

What is going wrong here. please help me with this one.

How can i write script for search two different List columns of search boxes related data show on grid view in SPFX?

Am able to search the PR_Number column data, the same i want to search for Description as input in another search box and show the gridview in SPFx.

import * as React from 'react'; import * as ReactDom from 'react-dom'; import { Version } from '@microsoft/sp-core-library'; import {   BaseClientSideWebPart,   IPropertyPaneConfiguration,   PropertyPaneTextField } from '@microsoft/sp-webpart-base'; //import styles from './PrFilter.module.scss'; import { escape } from '@microsoft/sp-lodash-subset';  import * as strings from 'PrFilterWebPartStrings'; import PrFilter from './components/PrFilter'; import { IPrFilterProps } from './components/IPrFilterProps'; import { SPHttpClient, SPHttpClientResponse } from '@microsoft/sp-http';  export interface IPrFilterWebPartProps {   description: string; } export interface ISPLists {   value: ISPList[]; } export interface ISPList {   PR_Number: string;   Description: string;   Request_Date: string; }      export default class PrFilterWebPart extends BaseClientSideWebPart<IPrFilterWebPartProps> {    private _getListData(): Promise<ISPLists> {       let queryString: string = '';     let queryStringforPR: string = '';     let searchboxVal: string=(this.domElement.querySelector('#searchbox') as  HTMLInputElement).value;     if(searchboxVal!=""){       // alert("searchboxVal" + searchboxVal);             queryString="$  filter=substringof('"+searchboxVal+"',PR_Number)";       queryStringforPR= searchboxVal;       console.log("qurery string value is " + queryString);       console.log("queryStringforPR value is " + queryStringforPR);     }     return this.context.spHttpClient.get(this.context.pageContext.web.absoluteUrl + `/_api/web/lists/GetByTitle('PurchaseRequest')/Items?$  filter=PR_Number eq $  {queryStringforPR}`, SPHttpClient.configurations.v1)         .then((response: SPHttpClientResponse) => {             return response.json();         });   }   private _renderListAsync(): void    {       this._getListData()     .then((response) => {       this._renderList(response.value);     });   }    private _renderList(items: ISPList[]): void    {     //debugger;     let html: string = '<table class="TFtable" border=1 width=100% style="border-collapse: collapse;">';     html += `<th>PR_Number</th><th>Description</th><th>Request_Date</th>`;     items.forEach((item: ISPList) => {       html += `           <tr>           <td>$  {item.PR_Number}</td>           <td>$  {item.Description}</td>           <td>$  {item.Request_Date}</td>           </tr>           `;     });     html += `</table>`;     const listContainer: Element = this.domElement.querySelector('#spListContainer');     listContainer.innerHTML = html;   }   private _setSearchBtnEventHandlers(): void    {     //debugger;     this.domElement.querySelector('#searchBtn').addEventListener('click', () => {         this._renderListAsync();     });   }     public render(): void {      this.domElement.innerHTML = `     <div>     <div>        <div class="ms-Grid-row ms-fontColor-white">         <div class="ms-Grid-col ms-u-lg10 ms-u-xl8 ms-u-xlPush2 ms-u-lgPush1">                  <p class="ms-font-l ms-fontColor-white" style="text-align: center">P2P Tool</p>         </div>       </div>       <div class="ms-Grid-row ms-fontColor-white ">          <input id="searchbox" type="textbox"/><input id="searchBtn" type="button" value="Search"/>         <input id="searchboxDescription" type="textbox"/><input id="searchBtnDescription" type="button" value="Search"/>              <br>         <div id="spListContainer" />       </div>     </div>   </div>`;     this._renderListAsync();     this._setSearchBtnEventHandlers();   }    protected get dataVersion(): Version {     return Version.parse('1.0');   }    protected getPropertyPaneConfiguration(): IPropertyPaneConfiguration {     return {       pages: [         {           header: {             description: strings.PropertyPaneDescription           },           groups: [             {               groupName: strings.BasicGroupName,               groupFields: [                 PropertyPaneTextField('description', {                   label: strings.DescriptionFieldLabel                 })               ]             }           ]         }       ]     };   } }  

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Can a multi-class Bard/Wizard write spells known from Bard, into Wizard spellbook?

Can a multi-class Bard/Wizard write spells known from their Bard class, into their wizard spellbook?

e.g. they know the Comprehend Languages as a Bard spell, and want to write it directly into their wizard’s spellbook?

And what is the cost? … i.e. 1 hour and 10 gp because they know it, or 2 hours and 50 gp because they have to experiment with casting it as a wizard?

i will write your dissertation and literature for $10

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