Abstract: The present disclosure relates to systems and methods for screening a formulation of a material being printed in an additive manufacturing process, in situ, to enable rapid analysis, modeling and modification of at least one characteristic associated with the material formulation. In one embodiment the system includes a computer and an experimental planning software module that includes a historical database of sample material test results, a machine learning software module, and a new batch formulation generation software module. The experimental planning software module enables new material formulations to be determined in situ and in real time, using one or more machine learning models, and new material samples to be printed in accordance with newly determined material formulations, for closer inspection and evaluation of at least one desired characteristic of the sample materials.

Abstract: Screening for screening a material includes: providing active mixing direct-ink-writing of the material, providing in situ characterization substrates or probes that receive the material, and providing active learning planning for screening the material. The providing active mixing direct-ink-writing of the material prints five to ten films. The providing in situ characterization substrates or probes includes printing five to ten films on the substrates or probes with a first set of constituents. The providing active learning planning for screening the material includes providing machine learning that takes the first set of constituents and uses the first set of constituents to dictate a next batch of films to achieve improved additional sets of constituents.

Abstract: An annuity product for paying out a desired periodic income payment to an annuitant including, without limitation: a deposit amount determined based on at least the desired periodic income payment, the age of the annuitant, a term comprising a guaranteed period for payment of the desired periodic income payment, an interest rate, and a mortality probability; and an income annuity balance reflecting debits and credits to the deposit amount; wherein the annuity balance is periodically debited due to income payments and periodically credited due to interest accrual; wherein the annuity balance is calculated on a periodic basis; and wherein a statement disclosing the annuity balance is provided to the annuitant on a periodic basis.