Resultant / anubhāva

A component of rasadhvani.

anubhāva - "sign or indication of a feeling by look or gesture, dignity, authority, consequence" (36)

# In Physics

Based on rigid-body Newtonian physics.

resultant - "A vector quantity that has the same effect as two or more other vector quantities of the same kind" (510) .

vector - "A quantity in which both the magnitude and the direction must be stated. Force velocity, and field strength are examples of vector quantities. Note that distance and speed are scalar quantities, whereas displacement and velocity are vector quantities…" (623) .

Resultants can also equal ZERO, such as when two vectors with the same magnitude push at 180° (directly head-on).
A more complex ZERO Resultant with three vectors is shown below in the third example.

## Parallelogram of vectors

 "A method of determining the resultant of two vector quantities. The two vector quantities are represented by two adjacent sides of a parallelogram and the resultant is then the diagonal through their point of intersection. The magnitude and direction of the resultant is found by scale drawing or by trigonometry" (415) . ## Finding the resultant graphically through scale drawing

When graphically adding the vectors, only their position (the x , y coordinates of the start and the end) is shifted.
In mathematical terms, the vectors are translated.
Direction (in degrees, eg. 45°) and magnitude of the second vector is maintained.

 The two vectors pull on the same point. The two are added together to create a parallelogram (See above). One vector is translated to the arrow side of the first. Starting from (0 , 0), the two corners of the parallelogram are connected. This line has direction (moving away from 0 , 0), and magnitude, making it another vector. The third vector "combines" the other two. It has the same overall effect. This is called the Resultant vector. Two vectors push on a point. A third pulls away. The three are added together. The direction (in °) and magnitude are maintained. The starting point of b is placed at end of a. This adds b1 to a. The starting point of c is then placed at the end of b1. This adds c1 to b1. Starting from (0 , 0), a vector is drawn to the end of c1. This creates a fourth vector, R, the Resultant. The Resultant summarizes a, b and c into a single vector. ## ZERO Resultant

 Two vectors, a = (0 , –y) and b = (–x , 0), push on a point. Vector c = (x , y) pulls away from a point. (0 , –y) + (–x , 0) + (x , y) = (0 , 0) The (Resulant), R, equals ZERO. Vector c negates the effect of a and b. The forces are in equilibrium. A Resultant of 0 means the object remains at rest and is in “stasis”. The cancelling forces create an equilibrium, where forces are balanced, rather than no forces acting.

Equilibrium - "A state in which a system has its energy distributed in the statistically most probable manner; a state of a system in which forces, influences, reactions, etc., balance each other out so that there is no net change. A body is in static equilibrium if the resultants of all forces and all couples acting on it are both zero; it may be at rest and will certainly not be accelerated…A system is in chemical equilibrium when a reaction and its reverse are proceeding at equal rates. These are examples of dynamic equilibrium, in which activity in one sense or direction is in aggregate balanced by comparable reverse activity" (185).

# In Rasadhvani

 The components of dhvani interact. The character (āśraya) can exert will, agency, tapas, etc. The "vectors" of the different bhāvas are added. This creates some resultant on the part of the character (action, inaction, thoughts, etc). # Book of Mormon

Sons of Mosiah (Alma 17:3-12)

But this is not all: they had given themselves to much prayer, and fasting, therefore they had the spirit of prophecy, and the spirit of revelation…Now these are the circumstances which attended them in their journeyings, for they had many afflictions; they did suffer much, both in body and in mind; such as hunger, thirst and fatigue, and also much labor in the spirit.

Bibliography
1. Monier-Williams, Monier. 1899. A Sanskrit-English Dictionary: Etymologically and Philologically Arranged. Oxford: Clarendon Press.
2. Rennie, Richard and John Daintith. 2015. A Dictionary of Physics, 7th ed. Oxford: Oxford University Press.
page revision: 154, last edited: 13 May 2018 14:46
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