**Integration Formulas and Identification Functions**

**Teachings on Initiation, Formula Three(“…the seed of all philosophies…”):**

“There is that which transmutes knowledge into wisdom within a flash of time; there is that which changes sensitivity into love within an area of space; there is that which alters sacrifice into bliss where neither time nor space exists.”Discipleship in the New Age, Vol. II

**I. Math background **[adapted from Wikipedia/calculus]In mathematics, a function is a formal statement defining how the elements of one domain are mapped into another. For example, the expression f(x)=x+2 describes a function, f, that relates a number, x, with the results of an operation, x+2. Thus, an input of 3 is related to a value of 5, and can be expressed as f(3)=5.

The properties of functions may be further described with the tools of differential and integral calculus. The word “calculus” stems from the nascent development of mathematics: the early Greeks used pebbles arranged in patterns to learn arithmetic and geometry, and the Latin word for “pebble” is “calculus,” a counting unit.

Calculus is built on two major complementary ideas, differentiation and integration. Differential calculus “derives” the instantaneous rate of change of a mathematical function’s value with respect to changes in the input variable. Such “derivative” can be illustrated by the slope of a function’s graph. For instance, speed is the “instantaneous rate of change” of the “difference quotient” of distance over time.

Integral calculus, on the other hand, is an extension of the concept of a sum (Greek letter Sigma). The process of finding integrals is called integration and is used to find a measure of totality, such as an area. For instance, the area under a speed function curve represents the spatial distance traveled in a given time interval.

**II. Integration Formulas and Identification Functions on the Path of Return to the Source:**

** I AM THAT I AM**

Identity (I am): | 1 = 1 | I am = all things | I am ONE with everything |

Source (THAT): | 1-1 = 0 | THAT = nothingness | That is “NO thing” |

There is **THAT** which:

Function: | x | F(x) | |||||

Transmutes | Knowledge | Wisdom | Flash | Time | Light | Manas | Right Relations |

Transforms | Sensitivity | Love | Area | Space | Love | Buddhi | Good Will |

Transfigures | Sacrifice | Bliss | Infinity | Being | Life | Atma | Will to Good |

**F(knowledge) = Wisdom[past + present + future] ~ infinitely small measure of TIME [“flash”]**

**F(sensitivity) = Love [group consciousness] ~ infinitely great measure of SPACE**

**F(sacrifice) = Bliss[Logoic Purpose] ~ Unfathomable Monadic PRESENCE**

**III. Agni Yoga: GROUP Revelation of the Purpose (THAT)**

A. The (manifest) UNI-VERSE is derived by DIFFERENTIATION.

B. The SOURCE of All is known by (Monadic) INTEGRATION .

**I am the ONE,Begotten by the ZERO,Differentiated into INFINITY,Integrated into the conscious SYNTHESISOf LIGHT, and LOVE and LIFE,For the GLORY of the ONE.*****

**O Thou Who givest sustenance to the universe,From Whom all things proceed,To Whom all things return,Unveil to us the face of the true Spiritual SunHidden by a disc of golden LightThat we may know the TruthAnd do our whole dutyAs we journey to Thy sacred feet.**

[Originally written in 2006]

http://www.ngsm.org/agni-yoga//IHF-TP-1.htm