1461102125-b5aa67d8-e171-4947-b371-44ea78c2da83

1. A computer-readable media embodied in a non-transient, physical memory device having stored thereon computer-executable instructions for presenting additional purchasing opportunities to a consumer, the instructions performing steps comprising:
using data within a plurality of purchase orders to discern pairings of products that were purchased together and that have product brand names which differ;
creating from the discerned pairings of products a plurality of ordered lists in each of which is maintained a frequency with which each of a plurality of first brand name products was purchased together with each of a plurality of second, different brand name products;
using data indicative of product provided by the consumer to identify within a one of the plurality of ordered lists in which is maintained a frequency with which a plurality of second, different brand name products were purchased together with a first brand name product that corresponds to the consumer provided data at least one of the plurality of second, different brand name products that was frequently purchased with the first brand name product that corresponds to the consumer provided data;
presenting to the consumer as a recommendation a brand name of each of the identified at least one of the plurality of second, different brand name products; and
in response to the consumer interacting with a presented brand name, causing the consumer to be presented with information relevant to one or more products that are being sold under the interacted with, presented brand name.
2. The readable media as recited in claim 1, wherein the data provided by the consumer is at least one selected from the group consisting of a product brand name, a product SKU, a catalog page, and a product category.
3. The readable media as recited in claim 1, wherein the data provided by the consumer is a product SKU and the instructions use a cross-reference index to discern a product brand name for a product corresponding to the product SKU and the product brand name for the product corresponding to the product SKU is used to identify the one of the plurality of ordered lists in which is maintained a frequency with which a plurality of second, different brand name products were purchased together with a first brand name product that corresponds to the consumer provided data.
4. The readable media as recited in claim 3, wherein the cross-reference index comprises an electronic version of a product catalog.

The claims below are in addition to those above.
All refrences to claim(s) which appear below refer to the numbering after this setence.

1. A method for non-linear pulse-slimming in a tape servo system, the method comprising:
reading servo stripes of a linear tape system wherein reading each servo stripe creates a servo signal and wherein each servo signal has a peak as measured from a baseline;
filtering each servo signal using a low-pass filter creating a normal servo signal and a differentiated servo signal; and
multiplying each servo signal by a non-linear gain to slim each servo signal prior to being sent to a qualifier, wherein the non-linear gain is determined from servo signal amplitude.
2. The method of claim 1, wherein the non-linear gain comprises raising each servo signal to a multiplicative power and limiting the non-linear gain above a preset input amplitude to a constant gain.
3. The method of claim 1, wherein the non-linear gain increases in value from the baseline to the peak.
4. The method of claim 1, wherein the non-linear gain is limited so as to not alter peak amplitude.
5. The method of claim 1, wherein the non-linear gain is applied to the normal servo signal prior to being sent to the qualifier.
6. The method of claim 1, wherein the non-linear gain is applied to each servo signal prior to being sent to the qualifier.
7. The method of claim 6, wherein the qualifier further receives a differentiated servo signal from a differentiator that has not been altered by the non-linear gain.
8. The method of claim 1, wherein the non-linear gain is applied to each servo signal prior to each servo signal being sent to the qualifier and prior to each servo signal being sent to a differentiator, the differentiator sending a differentiated non-linear gained signal to the qualifier.
9. The method of claim 1, wherein non-linear gain is applied to each servo signal subsequent to an analog-to-digital conversion of each servo signal.
10. The method of claim 1, wherein non-linear gain is applied immediately prior to analog-to-digital conversion of each servo signal.
11. A system for non-linear pulse-slimming in a tape servo system, the system comprising:
a linear tape system having servo stripes for creating a normal servo signal when read by a servo reading head and wherein each normal servo signal has a peak as measured from a baseline;
a low pass filter configured to pass through the normal servo signal and create a differentiated servo signal; and
a non-linear gain device configured to receive each normal servo signal and multiply it by a non-linear gain based on servo signal amplitude to slim each servo signal prior to being sent to a qualifier.
12. The system of claim 11, wherein the non-linear gain device is configured to raise each normal servo signal to a multiplicative power and limit the non-linear gain above a preset input amplitude to a constant gain.
13. The system of claim 11, wherein the non-linear gain device is configured to increase the non-linear gain in value from the baseline to the peak.
14. The system of claim 11, wherein the non-linear gain device is configured to limit the non-linear gain so as to not alter the amplitude of the peak.
15. The system of claim 11, wherein the non-linear gain device is configured to apply the non-linear gain to the normal servo signal and combine it with the differentiated servo signal at the qualifier.
16. The system of claim 11, wherein the non-linear gain device is configured to apply the non-linear gain to each normal servo signal prior to being sent to the qualifier.
17. The system of claim 16, wherein the qualifier further receives a differentiated servo signal from a differentiator that has not been altered by the non-linear gain device.
18. The system of claim 11, wherein the non-linear gain device is configured to apply the non-linear gain to each normal servo signal prior to the normal servo signal being sent to the qualifier and prior to each normal servo signal being sent to a differentiator, the differentiator then sending a differentiated non-linear-gained signal to the qualifier.
19. The system of claim 11, wherein the non-linear gain device is configured to apply the non-linear gain to the normal servo signal subsequent to an analog-to-digital conversion of the normal servo signal.
20. The system of claim 11, wherein the non-linear gain is configured to apply the non-linear gain immediately prior to analog-to-digital conversion of the normal servo signal.