$('id')

jQuery("#id")

document.getElementById("id")

$$(selector)[x]

jQuery(selector).eq(x)

$(element).select( selector )

$(element).find( selector )

$F('id')

jQuery("#id").val()

.innerHTML

.html()

document.getElementById(element).innerHTML

element.update('new content')

element.html('new content');
vtlib_executeJavascriptInElement(document.getElementById(element));

document.getElementById(element).innerHTML='new_content';
vtlib_executeJavascriptInElement(document.getElementById(element));

.value = x

.val(x)

.style.x = 'y'

.css({ x: 'y' })

.setStyle( style(s) )

.css( propertyName, value )

.hasClassName( className )

.hasClass( className )

.addClassName( className )

.addClass( className(s) )

.checked

.prop('checked')

disabled

.prop('disabled')

.some_attr

.attr('some_attr')

.getWidth()

.width()

.empty()

.is(':empty')

.fade({duration: x})

.fadeOut(x * 1000)

.appear({duration: x})

.appear({duration: x})

fadeIn()

fadeOut()

$(element_id).observe("click",
 function(event){ ... })

jQuery('#'+element_id).bind("click",
 function(jQueryEvent){ ... })

document.observe("dom:loaded",
 function() { ... });

$(document).ready()

Event.observe(element, eventName, handler)

$('selector').bind(eventType, handler)

Sortable.create("element" {
constraint:false,
tag:'div',
overlap:'Horizontal',
handle:'headerrow',
onUpdate:function(){
// do smth
}
})

jQuery("#element").sortabe({
constraint: false,
tag: 'div',
overlap: 'Horizontal',
handle: '.headerrow',
update: function () {
//do smth
}
})

new Ajax.Request('index.php', {
queue : {position : 'end',
scope : 'command'},
method : 'post',
postBody : "urlstring",
onComplete : function(response) {
// do smth
}
});

jQuery.ajax({
method: 'POST',
url:'urlstring',
}).done(function (response) {
   //do smth
});