Move from prototypeJS/scriptaculous to jQuery

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PATTERNS PROTOTYPEJS
*************************************

$('elementId')
$$('.cssClassName')
$F = Form.Element.getValue

------------------------------------

.activate()
.addClassName()
.checked()
.disabled
.each(element)
.focus()
.focusFirstElement()
.get(value)
.hide()
.innerHTML
.replace(sth)
.reset()
.setValue()
.show()
.submit()
.value
.visible()
.writeAttribute()
Event.observe(window, 'load' , myFunction , false)
Form.reset()
Form.Serialize(this)

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new Ajax.Request or Ajax.upDater
'my url'
Asynchronous:true
EvalScripts:true
parameters: ' my parameters'
onLoading: function(){}
onComplete
onFailure

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PATTERNS RUBY ON RAILS WHICH BUILD PROTOTYPEJS
*************************************************
form_remote_tag
form_tag
link_to_remote
button_to_remote