The missing stress-geometry equation in granular media

The simplest solvable problem of stress transmission through a static granular material is when the grains are perfectly rigid and have an average coordination number of $\bar{z}=d+1$. Under these conditions there exists an analysis of stress which is independent of the analysis of strain and the $d$ equations of force balance $\nabla_{j} \sigma_{ij}({\vec r}) = g_{i}({\vec r})$ have to be supported by $\frac{d(d-1)}{2}$ equations. These equations are of purely geometric origin. A method of deriving them has been proposed in an earlier paper. In this paper alternative derivations are discussed and the problem of the "missing equations" is posed as a geometrical puzzle which has yet to find a systematic solution as against sensible but fundamentally arbitrary approaches.Comment: 10 pages, 4 figures, accepted by Physica

Honey I Will Long For You

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You For Me When Your Wife\u27s Away.

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Singing Bird

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See Saw

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You\u27re Just The Boy For Me.

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Christian Nationalism in the United States

The essays in this collection engage and build upon the exciting new scholarship in the histories of Christian nationalism within the United States. They cover topics ranging from the Native American preacher William Appess, Federalist party leaders, Manifest Destiny, and West Point, to Donald Trump, the evangelical thinker Richard Mouw, the ecumenical movement, evangelical internationalism, and religious pluralism. Taken together, the contributors discard the old question of whether or not America was ever a Christian nation. Instead, they are concerned with how and why certain persons and groups throughout American history have either embraced or rejected the myth of a religious founding as a political project

Singing Bird : Indian Intermezzo

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I am waiting for the summer time and you

Gift of Dr. Mary Jane Esplen.Piano vocal [instrumentation]The scent of new mown clover [first line]I am waiting for the summer time [first line of chorus]F [key]Allegretto grazioso [tempo]Popular song [form/genre]Notice: This song is beautifully illustrated [dealer stamp

I Wish To-Day Were Yesterday And Yesterday To-Day

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