An ink cartridge arrangement includes an ink cartridge including an ink chamber, and an ink cartridge packaging system. These properties are achieved with an alloy in which the combined level of titanium, aluminum, niobium, and tantalum is carefully controlled. The systems and methods may determine one or more payouts based on the additional gaming functionality. Also, the control loop includes a second hold circuit coupled to the output of the operational transconductance amplifier via a second switch controlled in a complementary manner with respect to the first switch. According to the method, information for providing network services related to advertisements is physically or electronically represented by a code image in various advertising media, and a user can directly user network services provided by the advertiser, by clicking on the image or scanning or photographing the image with an optical input apparatus.