Reference blog

Source: https://www.prestashop.com/forums/topic/280306-native-prestashop-search-module-issuessolved-casesimprovementsother/
The search index indexes on individual words and as it is now, wants you to give a search word from the beginning of the word.

To fix this, we need to edit the file Classes/Search.php

to fix this, change the code a little like this: (find the lines in the code above and add the % three times:

...
? ' \'%'.pSQL(Tools::substr($word, 1, PS_SEARCH_MAX_WORD_LENGTH)).'%\''
: '\'%'.pSQL(Tools::substr($word, 0, PS_SEARCH_MAX_WORD_LENGTH)).'%\''
);

if ($word[0] != '-')
 $score_array[] = 'sw.word LIKE \'%'.pSQL(Tools::substr($word, 0, PS_SEARCH_MAX_WORD_LENGTH)).'%\'';
...

Open yourdomain/themes/yourtheme/js/modules/homeslider/js/homeslider.js

and change this:

if (!!$.prototype.bxSlider)
        $('#homeslider').bxSlider({
            useCSS: false,
            maxSlides: 1,
            slideWidth: homeslider_width,
            infiniteLoop: homeslider_loop,
            hideControlOnEnd: true,
            pager: false,
            autoHover: true,
            auto: homeslider_loop,
            speed: homeslider_speed,
            pause: homeslider_pause,
            controls: true
        });

to this

if (!!$.prototype.bxSlider)
        $('#homeslider').bxSlider({
            useCSS: false,
            maxSlides: 1,
            slideWidth: homeslider_width,
            infiniteLoop: homeslider_loop,
            hideControlOnEnd: true,
            pager: false,
            autoHover: true,
            auto: homeslider_loop,
            speed: homeslider_speed,
            pause: homeslider_pause,
            mode: 'fade',
            controls: true
        });

Source: https://www.prestashop.com/forums/topic/325730-solvedhow-to-make-home-slider-fade-in-version-16/

Source: http://stackoverflow.com/questions/16231440/how-to-get-prestashop-current-user-id
Example:
$id = (int)$this->context->customer->id;
$id_default_group = Customer::getDefaultGroupId((int)$id);

Source: http://www.prestashop.com/forums/topic/318418-solved-center-logo-in-new-theme-16/
open header.tpl file (located in your theme dir) and remove this code:

<div id="header_logo"><a title="{$shop_name|escape:'html':'UTF-8'}" href="{$base_dir}">
<img src="{$logo_url}" alt="{$shop_name|escape:'html':'UTF-8'}" width="{$logo_image_width}" height="{$logo_image_height}" />
</a></div>

then go to /themes/default-bootstrap/modules/blocksearch/blocksearch-top.tpl and paste code that you removed at the end of the file

Possible issue: This edit may affect the responsive layout, leaving the logo in the middle of the screen in between Search block and Cart block.