Abstract: A glass including silica and titania is disclosed. An average hydroxyl concentration of a plurality segments of the glass is in a range from about 20 ppm to about 450 ppm, an average titania concentration of the plurality of segments is in a range from about 6 wt. % to about 12 wt. %, and each segment of the plurality of segments has a length of about 12.7 mm, a width of about 12.7 mm, and a height of about 7.62 mm. The hydroxyl concentration of each segment is measured using a Fourier transform infrared spectroscopy in transmission, the refractive index is measured using an optical interferometer with a 633 nm operating wavelength and a resolution of 270 microns×270 microns pixel size, and the average titania concentration is determined based upon the measured refractive index.

Abstract: A glass comprising titania and silica is disclosed. A plot of average hydroxyl concentration of each segment of a plurality of segments vs. distance along the glass is provided by: y=Ax2+Bx+C, wherein A (in ppm/mm2) is in a range from about 0.0 to about ?0.1, B (in ppm/mm) is in a range from about ?10 to about 10, C (in ppm) is about 450 or less, y is the average hydroxyl concentration (in ppm), and x is distance (in mm) such that the hydroxyl concentration of each segment is measured using a Fourier transform infrared spectroscopy in transmission and the plot extends a distance of about 50 mm or more along the glass.

Abstract: A silica-titania glass substrate comprising: (i) a composition comprising 5 weight percent to 10 weight percent TiO2; (ii) a coefficient of thermal expansion (CTE) at 20° C. in a range from ?45 ppb/K to +20 ppb/K; (iii) a crossover temperature (Tzc) in a range from 10° C. to 50° C.; (iv) a slope of CTE at 20° C. in a range from 1.20 ppb/K2 to 1.75 ppb/K2; (v) a refractive index variation of less than 140 ppm; and (vi) 600 ppm OH group concentration or greater. The substrate can have a mass of 1 kg or greater and less than 0.05 gas inclusions per cubic inch via a method comprising (i) forming the substrate from soot particles comprising SiO2 and TiO2, and (ii) subjecting the substrate to an environment having an elevated temperature and an elevated pressure for a period of time until the substrate comprises less than 0.05 gas inclusions per cubic inch.

Abstract: A product seller site distributes on a pay for placement basis placed product with purchased product when the purchased product is delivered, where the placed product is associated with the purchased product by at least one specific characteristic. For example, the owner of a product funds an account and supplies product samples to be distributed to customers purchasing similar products. Further, the product owners bid or pay a fee to place their product with the customer. When the customer purchases a product, a search engine determines which products from a database of products available for placement meet the search criteria and offers to distribute the placement product with the purchased product. The search criteria comprise matching the purchased product with similar products to be placed with the purchased product and finding the highest bidder or fee from the group of matching placement products.

Abstract: A product seller site distributes on a pay for placement basis placed product with purchased product when the purchased product is delivered, where the placed product is associated with the purchased product by at least one specific characteristic. For example, the owner of a product funds an account and supplies product samples to be distributed to customers purchasing similar products. Further, the product owners bid or pay a fee to place their product with the customer. When the customer purchases a product, a search engine determines which products from a database of products available for placement meet the search criteria and offers to distribute the placement product with the purchased product. The search criteria comprise matching the purchased product with similar products to be placed with the purchased product and finding the highest bidder or fee from the group of matching placement products.

Abstract: A product seller site distributes on a pay for placement basis placed product with purchased product when the purchased product is delivered, where the placed product is associated with the purchased product by at least one specific characteristic. Further, the product owners bid or pay a fee to place their product. When the customer purchases a product, a search engine determines which products from a database of products available for placement meet the search criteria and offers to distribute the placement product with the purchased product. The search criteria comprise matching the purchased product with similar products to be placed with the purchased product and finding the highest bidder or fee from the group of matching placement products.

Abstract: A product seller site distributes on a pay for placement basis placed product with purchased product when the purchased product is delivered, where the placed product is associated with the purchased product by at least one specific characteristic. For example, the owner of a product funds an account and supplies product samples to be distributed to customers purchasing similar products. Further, the product owners bid or pay a fee to place their product with the customer. When the customer purchases a product, a search engine determines which products from a database of products available for placement meet the search criteria and offers to distribute the placement product with the purchased product. The search criteria comprise matching the purchased product with similar products to be placed with the purchased product and finding the highest bidder or fee from the group of matching placement products.