1. Field of the Invention
The present invention pertains to a precise mathematical formula of numbering story line books to aid the reader of a story book to easily know how many pages are left to be read, how many pages have been read, and how many pages constitute the total number of pages in the book.
2. Description of Related Art
The process of numbering any book today involves starting the numbering system with the lowest number of the page count at the beginning of the first chapter or sub page before the first chapter and ending the numbering with the highest number of the page count at the end of the book as the reader reads from left to right sequentially. This conventional way of numbering books is hereby called Traditional Numbering System (TNS).
At present, there is no distinction in book numbering between a reference book in which there is no desire for the reader to know how many pages are left to be read and a story line book such as a novel in which the reader often wants to know how many pages are left to complete the book. Besides, in a reference book, such as a classroom textbook (history book), the reading is not necessarily done on a sequential basis. The reader can “bounce” to reference the content for proper comprehension from chapter to chapter in a reference book. This trend is completely opposite to a story line style of reading such as a novel in which there is a sequential continuity of thought, numbering, and reading in order to properly follow the story line plot in the book.
Presently, there is no book numbering system that invokes a backwards numbering system to denote the number of pages left to be read. The only piece of related art with a backwards numbering system is a calendar. Calendars have the habitual form of denoting the present day of the month in that year plus a backwards days numbering system that counts the number of days left to the end of the year or Christmas as of January 1 st every year.
Readers of story line books such as a novel are left with nothing but bad mannerisms of fumbling with the last page number which they flip back and forth to look up and figure out how many pages are left to complete a story and thus test their convolutional math which they can't stand. They often subtract their TNS component on the page from the last page number. The present invention deals with this problem by providing a system that tracks, calculates, and displays the total number of page count, the number of pages read, and the number of pages left to be read.
This invention involves a sequentially backwards book numbering system that keeps track of the number of pages left for the reader to finish reading a story line book.
This backwards numbering system is also enhanced by a forward numbering system that lets the reader know how many pages have been read as the reader balances the pages read and the pages left to be read.
And, the invention embodies the number of pages to be read and the number of pages already read in a Total Number of Page System on each page. Thus, the resulting Total Number of Page System (TNP) of each page is arrived at by adding the forward and backwards numbers of each page to give the reader the TNP.
Uniquely ingrained in the forward numbering system is an Exclusive Numbering Interger of (b−1) where (b) stands for a page number of the traditional numbering system. Thus, the first number of the forward numbering system is going to be (1−1) or 0 to denote the beginning of the book. And, the last number of the book is going to be (E−1) where E is the traditional last page number.
At any given time, the reader can tell how many pages have been read, how many pages are still left to be read, and what the total number of pages are. These are all embodied and displayed on each page of the book as the reader reads along.
And, the invention also performs well on reference books if they are numbered on a stop and go basis by chapters or subject matter. Stop and go means the pages are started and renumbered individually by the total chapter count because the researcher or reader of a reference book is not interested in the number of pages left to be read in order to complete the research.
Besides, reference books lack continuity except with a subject matter or chapter. And, by “reference books”, we denote any other publication that is not a story with a continuity comprising of a beginning and an end.
a displays TNP, FNS, BNS.
b shows the Complimentary Numbering System and the Virtual Numbering System that reside on each page.
The following are definitions, formulas, equations, and settings that properly describe and demonstrate the proper use of this invention:
1) Page Definitions
a) Total Number Pages (TNP) . . . number of pages in a book.
b) Highest Page Count (HPC) . . . highest page count in the book
c) Highest First Number (HFN) . . . first number in a backwards numbering system derived from the HPC
d) Lowest Page Count (LPC) . . . lowest page count in a book
e) Lowest Last Number (LLN) . . . this is the lowest page count (LPC) of the book and is usually page one (1)
f) Number Pages Read (NPR) . . . number of pages the reader has finished
g) Number Pages Left (NPL) . . . number of pages reader has left to read in book
h) Number In Progress (NIP) . . . page reader is currently reading. This page is unread otherwise reader will not be on it.
i) Exclusive Numbering Interger (ENI) . . . patch or adjustment to the traditional numbering system in a forward numbering system (FNS) that compliments the backwards numbering system (BNS) in this invention to the total numbering system (TNP)
j) Left To Right (LTR) . . . the direction a reader reads through when reading a story line or reference book
2) Book Numbering Systems
There are 6 numbering systems in this invention. These systems are defined, coded, and schemed as follows:
There is no mathematical difference in the following numbering systems: CNS, TNP, and VNS. These are explained in detail:
TNP denotes the total number of pages in the book and is printed on each page of the book as a point of reference. It has no resulting formulation. It is hereby called an “image” number or a “display” count. It is a self-contained set of components in its own total despite the repetitious appearance of the number on each page. Its components are itself
CNS denotes the resulting formulation of adding the individual components of each forward numbering system(NPR) to the individual component of the backwards numbering system(NPL) to get an output called Complimentary Numbering System. This numbering system on each page is a “formulation” or “product” measured as follows: CNS=FNS+BNS or TNP=NPR+NPL.
VNS denotes the mental confirmation system the readers performs in adding the forward and backwards numbers on each page in these respective systems to generate a total page number called VNS. The reader may actually subtract the forward page number in the forward numbering system on a page from the total number of page and see if it equals the backwards number on the page. This mental numbering system is called a virtual numbering system (VNS). It is performed occasionally by the reader as a test of reassurance that the printed numbers (TNP, CNS, FNS, & BNS) are all properly computed and printed in the book. VNS is not a displayed number on the page in the book. It is displayed in the reader's mind
3) Numbering Systems Orientation
The numbering systems in this invention have two possible orientations . . . vertical or horizontal. Vertical Orientation(VO) relates to the page to page flipping mechanism which is required for the numbering system to sustain its continuity. This contrasts with a Horizontal Orientation(HO) where no page flipping is required because the numbering system is completely functional on each individual page by itself or on its own merit without the need of other pages. Vertical orientation requires page stepping through flipping from north to south or vice versa across several pages to maintain its continuity while the horizontal orientation is self-contained in each page and flows from east to west or vice versa.
The following orientations are assigned to the various numbering systems:
4) Formulas
A) Page Specific Formulas
B) Number In Progress (NIP)
Number In Progress is the page the reader is reading currently or is also called the “bookmark page”.
C) Conversion Formulas
An environmental setting in a book requiring:
In this invention, the first priority is to setup an example to demonstrate the functions and properties of the various aspects of the invention. We are going to setup a test sample for a novel with a 297 total page count or Total Number of Pages System (TNP).
In
In
An Exclusive Numbering Interger (ENI) as in
As always, an LTR 501 is in effect throughout the book. As of
At any given point when the reader is reading, a break or an intermission may be taken. This means that the reader is going to bookmark a page. This page is also called the “current” page. In our case with a BNS in effect, the reader is going to stop on
In 704 taken from a horizontal perspective, a Complimentary Numbering System (CNS) is derived. CNS denotes the resulting formulation of adding the individual components of each forward numbering system as in 704 to the individual component of the backward numbering system as in 714 to get an output called Complimentary Numbering System as in 716. This numbering system on each page is a “formulation” or “product” measured as follows: CNS=FNS+BNS. It is derived at by a calculation as contrasted to the TNP indicated by an image number as in 716.
In
The display of too many numbers on each book page, in addition to the book byline of the title or author, may create an illusion of “crowding” or “distracting” problems.
The invention takes on a distinctively unique scheme of characterizing each of the six numbering systems as either having a vertical or a horizontal orientation. A vertical orientation is an orientation that goes from south to north or vice versa. A horizontal orientation is one that goes from east to west or vice versa. This means that all the numbers in all the pages can be looked at and read from a 3D perspective and splashed into patterns. The one distinctive pattern that emerges is the vertical and horizontal orientation.
Vertical orientation as in 1001 of
“Display Formats” as described in this invention deal with the different ways the numbering systems can be displayed and printed on the page of a book. Should the numbers be on top of the page or at the bottom of the page? Should the numbers be printed side by side with bylines of the author or title? These are all options in this invention. In
In
The following are the final statistics in our example:
h) TNP=Total Number Pages=Total Number of Page Numbering System . . . 297
The invention also introduces various display systems of the numbering systems in various combinations to properly help the reader know the pages read, bylines location, and number of pages left to read. These “display formats” on the page can be personalized to the taste of the author, publisher, editor, manufacturer, or audience in question. Such “display formats” include but are not limited to the following:
In the end, the Backwards Numbering System (BNS) is the backbone of this invention that alerts the reader to the fact that the number of pages left to be read in a book are exactly the same as the number in front of the reader. Thus, the reader does not have to exercise any mathematical computations and flipping to the end of the book in order to determine how many pages are left to be read in the book. The BNS is the solution to the reader's queries.
On the other hand, if the reader (1309) were to start the book at 1302 and head towards 1303, the backwards numbering system uplifts the reader from 1302 proper to 1305 “piece of cake world” which is a delusional feel good mode about going downhill as in 1311 with a sunny environment of 1306 that is fueled by the reader's “feel good” enzymes in 1310. Mind you, the task from 1301 to 1302 is equal to the task from 1302 to 1303. It is the same task but it is perceived differently because human “receptacles” in the brain that control “perception” if so manipulated. Forget not that these two tasks are “flat lines” but are construed to be “skewed” for bad or worse by the reader based on the numbering system presented. If FNS is used, a reader sees a skewed ascent to the end of the book while a skewed descent will be greeted with glow in a BNS.
No two human beings read the same book with the same perception. This is due to the fact that when subjective values of human nature are interjected into objectively scientific tasks, these tasks are performed differently because of the human proprietary factor that discriminates against different perceptive views and skills in performing a task. In effect, the state of the reader's mind has a deep impact on the reader's ability to read a novel within a given length of time. Whether the reader enjoys it or not is another question. This invention is meant to make it easy for the reader to carry out the task of reading with a “feel good” delusion and thus enjoy the book.