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Forget Cricket Talk about anything [within Board Rules, of course :) ]

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  #1  
Old January 30, 2010, 11:15 PM
Zeeshan Zeeshan is offline
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Default An Axiomatic Approach to the Game of One Day Cricket


Introduction. This will start off where the Laws of Cricket (42) ends. This thread will be in flux and members will be able to submit their theorems and each can be repealed in the next post provided a suitable further proof is given. As a courtesy, the poster who will find his theory disproven may strike out his original submission.

Last edited by Zeeshan; January 31, 2010 at 05:26 PM.. Reason: This thread is dedicated to Spinoza.
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  #2  
Old January 30, 2010, 11:16 PM
Zeeshan Zeeshan is offline
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0. Cricket is an unpredictable sport.

I. One day match, which shall be referred to as 'cricket' is composed of minimum of 100 discrete steps or stages, aggregate of which constitutes the final outcome of the match.

II. Each player should strives to maximize his potential at each of these steps.

III. Cricket at each ball (set or stage) consists of three fundamental theorems.
a. Theorem of Bowling: Bowl at the optimum line and length.
b. Thereom of Batting: Play each ball according to it's own merit.
c. Thereom of Fielding: Prevent runs and cause outs.
IV. There exist two teams and at least eight possible outcomes at every step of the game. Either 1,2,3,4,5,6 runs (including extras) or a dot ball or a wicket. At each stage or ball, there are three possible outcomes from perspective of each teams: positive, negative or neutral.

In elementary terms of Team A.
Positivity is defined as scoring a boundary or three runs.
Negativity if a wicket is lost.
Neutrality if a single or dot ball is scored.
In elementary terms of Team B.
Positivity if a wicket is earned.
Negativity if a boundary is given or three runs leaked.
Neutrality is a single or dot ball is scored.
V. The rate of positivity, negativity or neutral factor of each step goes up or down as the game progress. Thus, there exists a direct relationship of the nth ball and runs given/scored or wicket taken.

For example, if it is in the first over and a single run is given in each ball, then although it could be a neutral case individually, but progressive it's more damanging or negative to the bowler.


VI. One-day match is microcoscmic of test match composed of following sessions.
i. Innings
ii. 25th over (half of innings)
iii. Drinks.
iv. Powerplays
VII. Axiom of Symmetry. A symmetric game results when second team batting matches the run-rate of previous team, whereas asymmetric team is one where they deviate from it either in positive or negative ways. Example, Cardiff match was an example of symmetric game. [A graph of worms of the game may be inserted here.]
i. All symmetric games goes down to the wire.
VIII. An optimal solution defined as positive result exists at each stage of the game.

Proof. It is self-evident if the outcomes are positive or negative, but not so when it is neutral.

Let there be two teams A and B. Assume from batsman (team A) perspective one can always find a shot and from bowler and fielders (team B) point of view one can always get an out. After a ball has been bowled, by Axiom IV. V. VI three possible outcome exists depending on which session it is bowled at is bowled in a session. Thus we see a batting or bowling can be reduced to a kinematical 'problem solving' act. Neutral may be a yorker dug out on 8th ball and a single run given or a ball left. Whatever the case it has to be either positive, negative or neutral. Intuitively, there seems to be no solution in the nth ball if it is always neutral. But if we consider it collectively in terms of the parameters of Axioms IV, V, VI and by Axiom of Symmetry, neutrality in the holistic context of the game becomes an issue of excluded middle and thus the game inherently tends to be binary ie either positve or negative. Thus, the ball that has been dug out on 8th delivery although positive if it avoided a wicket and positive because a single run was given and thus proving the neutrality of it, it becomes positive in bowler's book and negative in batsman's perspective.
IX. Parallel Hypothesis (unproven). If two innings were run simultaneously in a simulator and there are discernable deviation or differences in certain important variables like pitch condition, dew factor, light condition, D/L method, then the result may be predicted at the outcome of the toss.

Example. The Idea Cup tri-series is a perfect example, althought it is not known if a general case exist and whether the inclusion of 'weak' (or asymmetrical game causing) team like Bangladesh had any effect. Or what would've happened, if it was India, Pakistan or Sri Lanka in the idea cup, would the team batting first second always have won?
X. Gavaskar's Axiom. There is a jump of 2 runs when a batsman attemps to hit an overboundary instead of a boundary, but the risk factor goes up by 100%.

Last edited by Zeeshan; January 30, 2010 at 11:22 PM..
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  #3  
Old January 31, 2010, 05:18 AM
BD-Shardul BD-Shardul is offline
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Dr Z, pls give ZM "cricket atel" title.

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  #4  
Old January 31, 2010, 05:42 AM
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Naimul_Hd Naimul_Hd is offline
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just out of curiosity Zeeshan bro, how do u manage to write these sort of articles now and then ?? i think u eat cricket, drink cricket and sleep cricket, dont u ? pardon my ignorance about u !
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  #5  
Old January 31, 2010, 03:33 PM
Zeeshan Zeeshan is offline
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@mr palindrome-da

it's not an article it's meant to be a member created "constituion" of gameplay. chk the introduction again. *sigh* people dont read nowadays or what.

and @shardul da

what's up with you and your jumping into giving me titles. i think you were the one who was most jealous of my custom title than anyone. thou revealeth thouself.
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  #6  
Old January 31, 2010, 06:42 PM
One World One World is offline
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If ODI is referred as 'cricket' then Test should be referred as life.
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  #7  
Old January 31, 2010, 06:48 PM
Zeeshan Zeeshan is offline
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Quote:
Originally Posted by One World
If ODI is referred as 'cricket' then Test should be referred as life.
Roughly, ODI is subset of Test and T20 subset of ODI?

Btw...I think these theories and axioms could be much better approximated if we look from the pov what programs would one likely to teach an AI batsman in robotics? Any thoughts....?

What could be some batting rules?
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  #8  
Old February 1, 2010, 02:27 AM
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Naimul_Hd Naimul_Hd is offline
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Quote:
Originally Posted by ZeeshanM
@mr palindrome-da

it's not an article it's meant to be a member created "constituion" of gameplay. chk the introduction again. *sigh* people dont read nowadays or what.
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  #9  
Old February 1, 2010, 10:44 AM
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Ajfar Ajfar is offline
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zeeshan bhai the lalit modi of BC
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  #10  
Old February 1, 2010, 12:59 PM
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Ashfaq Ashfaq is offline
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Quote:
Originally Posted by BD-Shardul
Dr Z, pls give ZM "cricket atel" title.

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Yeah, that would be fitting.

ZM, Atel is one of the highest complement I could give to anybody. Be honoured.
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Last edited by Ashfaq; February 2, 2010 at 02:55 PM..
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