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Fix emphasis vs definitions in von_neumann_model.md
Changes per #721: - activities - goods - input matrix - output matrix - intensity - goods used in production - total outputs - productive - cost - revenue - costs - revenues - irreducibility All terms changed from italic to bold as they are definitions per style guide.
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lectures/von_neumann_model.md

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@@ -364,11 +364,11 @@ respectively.
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A pair $(A,B)$ of $m\times n$ non-negative matrices defines
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an economy.
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- $m$ is the number of *activities* (or sectors)
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- $n$ is the number of *goods* (produced and/or consumed).
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- $A$ is called the *input matrix*; $a_{i,j}$ denotes the
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- $m$ is the number of **activities** (or sectors)
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- $n$ is the number of **goods** (produced and/or consumed).).
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- $A$ is called the **input matrix**; $a_{i,j}$ denotes the
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amount of good $j$ consumed by activity $i$
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- $B$ is called the *output matrix*; $b_{i,j}$ represents
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- $B$ is called the **output matrix**; $b_{i,j}$ represents
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the amount of good $j$ produced by activity $i$
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Two key assumptions restrict economy $(A,B)$:
@@ -388,28 +388,28 @@ Two key assumptions restrict economy $(A,B)$:
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```
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````
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A semi-positive *intensity* $m$-vector $x$ denotes levels at which
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A semi-positive **intensity** $m$-vector $x$ denotes levels at which
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activities are operated.
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Therefore,
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- vector $x^\top A$ gives the total amount of *goods used in
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production*
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- vector $x^\top B$ gives *total outputs*
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- vector $x^\top A$ gives the total amount of **goods used in
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production**
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- vector $x^\top B$ gives **total outputs****
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An economy $(A,B)$ is said to be *productive*, if there exists a
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An economy $(A,B)$ is said to be **productive**, if there exists a
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non-negative intensity vector $x \geq 0$ such
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that $x^\top B > x^\top A$.
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The semi-positive $n$-vector $p$ contains prices assigned to
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the $n$ goods.
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The $p$ vector implies *cost* and *revenue* vectors
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The $p$ vector implies **cost** and **revenue** vectors
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- the vector $Ap$ tells *costs* of the vector of activities
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- the vector $Bp$ tells *revenues* from the vector of activities
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- the vector $Ap$ tells **costs** of the vector of activities
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- the vector $Bp$ tells **revenues** from the vector of activitieses
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Satisfaction of a property of an input-output pair $(A,B)$ called *irreducibility*
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Satisfaction of a property of an input-output pair $(A,B)$ called **irreducibility**
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(or indecomposability) determines whether an economy can be decomposed
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into multiple "sub-economies".
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