Growth rate of money circulation velocity V

Our main theme is football and information. For this purpose, now we study economics

Direct benefits lead to PQ=C+G'+I < C+G+I=C+T+S

Our main theme is football and information. For this purpose, now we study economics

Temporal evolutions of three growth rates of M, V, and nominal GDP

In a previous article, " A three-piece set for understanding the money circulation ", we introduced two formulations of money circulation, M...

流动的货币流通观

 在本文中，我们以流动的方式描述货币流通。 下图是货币流通的水路。 我们希望这一尝试能够帮助熟悉流体动力学和电子电路的科学家和工程师了解货币流通。 通过这张图片更容易理解货币流通的时间演变。 1. 流体般的货币流通 对于我们的流体感觉，我们假设货币流动是一种不可压缩的流体。 在上...

名义GDP增长率与政府支出增长率的关系

 1. 关系 我们写这篇文章的动机是以下关系。 该图显示了名义 GDP 和政府支出之间的增长率关系。 数据来自 31 个国家。 该数据是 20 年的平均值。 这个数字显示了非常令人印象深刻的关系。 名义 GDP 的增长率（y 轴）与政府支出的增长率（x 轴）成正比。 x 轴和 y...

GDP定义的整合和定量方程的扩展

 在之前的文章《 用以了解货币流通的三件套 》中，我们解释了货币流通的量化观点。 我们使用了我们的三件套、循环流程图、名义 GDP 的定义和数量方程（Fisher's equation of exchange）。 在本文中，我们介绍了 GDP 定义的整合和定量方程的扩展。 从货币...

用以了解货币流通的三件套

在本文中，我们介绍了一套三件套，以了解货币流通。 三件套是循环流程图、名义GDP的定义、数量方程（Fisher's equation of exchange）。 这些项目在现代经济学中是独立的。 我们整合它们以进行货币流通。 作为结论，我们得到 M=G+I=S+T 和 V=Y/(...

http://awfa-tty.blogspot.com/2022/07/este-articulo-describimos-la.html

 En este artículo, describimos la circulación del dinero en un sentido fluido. La siguiente figura muestra una vía fluvial de circulación de...

Una relación entre la tasa de crecimiento del PIB nominal y la tasa de crecimiento del gasto público

1. Una relación Nuestra motivación en este artículo es la siguiente relación. Esta figura muestra una relación de las tasas de crecimiento e...

Una integración de las definiciones del PIB y una extensión de la ecuación cuantitativa

 En un artículo anterior, ' Un conjunto de tres piezas para comprender la circulación del dinero ', explicamos una visión cuantitativa de la...

Un conjunto de tres piezas para entender la circulación del dinero

En este artículo, presentamos un conjunto de tres piezas para captar la circulación de dinero. El conjunto de tres piezas es el diagrama de ...

A fluid view of money circulation

In this article, we describe money circulation in a fluid sense. The figure below shows a waterway of money circulation. We expect that this...

A relationship between nominal GDP growth rate and government spending growth rate

1. A relationship Our motivation on this article is the following relation. This figure shows a relation of growth rates between nominal GDP...

An integration of GDP definitions and an extension of the quantitative equation

In a previous article, ' A three-piece set for understanding the money circulation ', we explain a quantitative view of the money circulatio...

A three-piece set for understanding the money circulation

 In this article, we introduce a three-piece set for grabbing the money circulation. The three-piece set is the circular flow diagram, a def...

Quantitative Understanding of the Trickle-Down Hypothesis

Quantitative Understanding of the Trickle-Down Hypothesis ( Amazon Kindle ) We obtained quantitative result that is the exact opposite of th...

Football Tactics 8 Analysis of Open Tracking Data

The theme on this book is an elementary analysis of football tracking data. Analysis programs made by the author are opened. The open t...

Limit of Voronoi diagrams in soccer analysis, 2, simple numerical calculation

In this article, shown is simple numerical calculation for estimating players' occupying regions, with velocities of the players' movement. ...

Limit of Voronoi diagrams in soccer analysis, 1, essence

My claim in this article is that "do not rely on Voronoi diagrams unlimitedly in soccer." I am concerned about criticism to players by usi...

Analysis of open tracking data, 03, data of DEBS 2013

In this article, introduced is open tracking data of DEBS 2013 . Mutschler et al.(2013)  describes this data set precisely. However, thi...

Analysis of open tracking data, 02, several plottings

On the paper and data,  this page 。 "Soccer video and player position dataset": S. A. Pettersen, D. Johansen, H. Johansen, V. Berg-Johans...

Analysis of open tracking data, 01, Data of Petterson et al. (2014)

How to make the following figure. Environment, Google Colaboratory (in the following, `colab') Language, python 3 Tracking data...

What is "Activity time spent" ?

In this article, introduced is  Activity time spent shown in 'Tracking Statistics' PDF file on 2018 FIFA WORLD CUP RUSSIA. This PDF file ...

I lost passion on our national team.(2018 FIFA World Cup Russia)

I lost passion on the Japanese national team, Samurai Blue. Vahid Halilhodžić was fired, two months ago. Now Akira Nishino is the manage...

Nagoya vs Gifu [J2, 2017/03/04, Toyota Stadium]

Nagoya Grampus  1-1  F.C. Gifu Game result  (jleague.jp)  * jleague.jp is the official WEB site of J-League.

Nagoya vs Okayama [J2, 2017/02/26, Paloma Mizuho Sutadium]

Nagoya Grampus  2-0  Fagiano Okayama Game result (jleague.jp)  * jleague.jp is the official WEB site of J-League.

[J1 on TV] 2016/03/12 J1 1st stage Matchday 3, Kawasaki Frontale vs. Nagoya Grampus

Grampus missed the first position. In English Summary  (whoscored.com) Match details  (worldfootball.net) In Japanese. Match report  ...

[J1 in Stadium] 2016/03/06, J1, 1st stage, Matchday 2, Nagoya Grampus vs. Sanfrecce Hiroshima

I visited TOYOTA stadium for Nagoya Grampus vs. Sanfrecce Hiroshima. Cloudy. Opening ceremony.

Introduction of 2016 Nagoya Grampus

Nagoya Grampus official home page Nagoya Grampus (Wikipedia) Nagoya Grampus (worldfootball.net) For the staffs and players, read pages...