Graphs Understanding Ultrasound Physics Chapter 1 the basics • The horizontal axis of a graph runs from side to side and is referred to as the x-axis • the vertical axis of a graph runs up and down and is referred to as the y-axis Unrelated: items that have not association Definition of terms important to the understanding of ultrasound physics Directly related or Directly proportional Items that are associated. When one goes up the other does as well • Age to wisdom • place of birth to shoe size Directly related or Directly proportional • The size of ones foot is directly related to their shoe size. • The skill of the sonographer is directly related to their experience 1 Related or Proportional Related or Proportional Items that have an association their association however does not have to be specified Inversely Related or Inversely Proportional When one item increases the other decreases • • • • Dental health is related to flossing leprechauns is related to St. Patrick's day Christmas is related to decorated trees and of course exam scores are related to studying Inversely Related or Inversely Proportional • The more powerful the car engine is the worse mpg you will get • partying time to school grades Reciprocal relationship Reciprocal relationship A relationship that when two items are multiplied together their sum is equal to 1 • 5 and 1/5 are reciprocals • 10 and 1/10 are reciprocals • Period and frequency are reciprocals – an ultrasound term to be discussed latter 2 Units Numbers by themselves are meaningless without some way attributing them to something Common units associated with ultrasound • Units of length - most often measured in millimeters, centimeters. • Units of area - described as cm2 • Units of volume - described as cm2 Conversion of units Units • Increased by a factor – means to multiply a known entity by that number • 1 meter is the same 100 centimeters • 1 meter is the same as 1000 millimeters • 1 inch is the same as 2.54 cm • decreased by a factor – means to divide a known entity by that number Scientific notation what is it? It is a way of converting a very large number into one that can be easily managed Scientific notation • 1.0 x 106 is equal to 1,000,000 • note that the notation of 6 is equal to the number of zeros. 3 Exponent Prefix Symbol Meaning 109 Giga G billion 106 Mega M million 103 kilo K thousand 102 101 hecto deca Hh da hundred ten -1 10 deci d tenth 10-2 centi c hundredth 10 mili m thousandth 10-6 micro u millionth -9 nano n billionth -3 10 4