Business Intelligence is defined by Gartner as follows:
Business intelligence (BI) platforms enable enterprises to build BI applications by providing capabilities in three categories: analysis, such as online analytical processing (OLAP); information delivery, such as reports and dashboards; and platform integration, such as BI metadata management and a development environment. (Gartner IT)
While BI supports the company in decision making, Data Warehouse helps with the purely technical supply of the data.
A data warehouse is a storage architecture designed to hold data extracted from transaction systems, operational data stores and external sources. The warehouse then combines that data in an aggregate, summary form suitable for enterprise-wide data analysis and reporting for predefined business needs. (Gartner IT)
But what is exactly the different between an Analytic Platform and Business Intelligence? Is an Analytic Platform called the entirety of Data Warehouse and Business Intelligence?