Logic Pro is a hybrid 32 / 64 bit digital audio workstation and MIDI sequencer software application for the Mac OS X platform. Originally created by German software developer Emagic, Logic Pro became an Apple product when Apple bought Emagic in 2002. Logic Pro is part of Apple's Logic Studio bundle of professional music applications.

A consumer-level version based on the same interface and audio engine but with reduced features, called Logic Express, was also available at a reduced cost. Apple's GarageBand, another application using Logic’s audio engine, is bundled in iLife, a suite of software which comes included on any new Macintosh computer. On December 8, 2011, the boxed version of Logic Pro and Logic Express were discontinued, and it is now only available through the Apple App Store at the price of $199, which used to be the price of Logic Express.

Logic Pro provides software instruments, synthesizers, audio effects and recording facilities for music synthesis. It also supports Apple Loops – royalty-free professionally-recorded instrument loops. Audio effects include distortions, dynamics processors, equalization filters, and delays. The Space Designer plugin simulates the acoustics of audio played in different environments, such as rooms of varying size, or producing the echoes that might be heard on high mountains. Logic Pro can work with MIDI keyboards and control surfaces for input and processing, and for MIDI output. It features real-time scoring in musical notation, supporting guitar tablature, chord abbreviations and drum notation.

Logic (from the Greek λογική logikē) is the philosophical study of valid reasoning. Logic is used in most intellectual activities, but is studied primarily in the disciplines of philosophy, mathematics, semantics, and computer science. It examines general forms that arguments may take, which forms are valid, and which are fallacies. In philosophy, the study of logic is applied in most major areas: metaphysics, ontology, epistemology, and ethics. In mathematics, it is the study of valid inferences within some formal language. Logic is also studied in argumentation theory.

Logic was studied in several ancient civilizations, including India,China, and Greece. In the West, logic was established as a formal discipline by Aristotle, who gave it a fundamental place in philosophy. The study of logic was part of the classical trivium, which also included grammar and rhetoric.

Logic is often divided into three parts, inductive reasoning, abductive reasoning, and deductive reasoning.

The concept of logical form is central to logic, it being held that the validity of an argument is determined by its logical form, not by its content. Traditional Aristotelian syllogistic logic and modern symbolic logic are examples of formal logics.

PRO may refer to:

PRO as an acronym or abbreviation may refer to:

Kate Simko is an American electronic music producer from Chicago, IL.

Kate spent her childhood years studying piano and music theory. During her teens in Chicago in the mid-nineties, she fell in love with underground dance music, gaining a voracious appetite to hear new sounds and absorbing it all dancing until dawn each weekend in the Midwest. Her passion for electronic music eventually led to her to study music technology and piano at Northwestern University, while also directing the dance and hip-hop format of the respected radio station WNUR.

In 2001, Kate relocated for a music composition program in Santiago, Chile, where she met Andres Bucci and recorded their first record together as Detalles. Since then, Kate has returned to South America for numerous extended trips, recording more music with Andres Bucci and playing shows in cities like Buenos Aires, Punta del Este and Caracas.

With roots in Chicago house and Detroit techno, Kate's music maintains a warm, soulful character, full of funky bass lines and driving rhythms.

Song In (in hangul 송인, in hanja 宋仁) was a civil official in the mid-Goryeo era who became the intermediary founder of the Jincheon Song clan. His highest post was munha pyeongjangsa (문하 평장사). This was the highest government position in the period. Song In was responsible for administration, judicial affairs and economy in the district.

As he performed meritorious deeds during the King, he was conferred with Chanhwagongsin and Jincheonbaek. Baek was a position of politicians who were responsible for administration, judicial affairs and economy in the district. As the government created him Jincheonbaek, his family started regarding Jincheon as their origin. Hence, the family origin became Jincheon Song.

When he was in the position of Sangsanbaek, he tried to be just and fair in all the administrative affairs and strived to enhance the welfare of his people. He also focused on education for the youth and courtesy for people, which made his district famous for most excellent behaviors in the nation. After that, the people have long paid tribute to his feats.