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integers
the set consisting of the natural numbers, 0, and the negatives of the natural numbers
number line
a graph used to visualize the set of integers, as well as sets of other numbers
absolute value
the distance from 0 to a on the number line - can never be negative because it describes distance
additive inverses
have the same absolute value but lie on opposite sides of the zero on the number line
rational numbers
the set of all numbers which can be expressed in the form (a/b), where a and b are integers and b is not equal to 0
irrational numbers
the set of numbers whose decimal representations are neither terminating nor repeating
qualitative
descriptive, no numbers used, and may be interpreted differently by different people
quantitative
not descriptive, uses numbers, and every person interprets the observation in the exact same way
units
describe what is being measured or counted
standardized units
their meaning is agreed to and understood by everyone
descriptive inquiry
describing what is already there, no manipulation of variables; merely observing and describing
provides fundamental knowledge that can be built upon using the other types of scientific inquiry
comparative inquiry
seeks to describe a correlation between phenomena or variables
compares two variables to look for a relationship
inductive reasoning
specific observation to general theory
the general principle is true because all of the cases leading up are true
deductive reasoning
general principles to specific observation
a special case is true because the general principle is true
null hypothesis
a statement mentioning there is no statistical significance between two variables
a hypothesis we are trying to disprove
independent variable
the factor that you can change/manipulate/control in the experiment
dependent variable
the variable you measure, it depends on the independent variable
cofounding variable
the variable kept constant as to not interfere with your test
type 1 error
false positive - we believe falsehood; we reject the null hypothesis when it is true (yes but no)
e.g. we conclude that a drug is more effective than the placebo, when in reality it is not
type 2 error
false negative - we fail to believe a truth; we fail to believe the null hypothesis when it is false (no but yes)
e.g. we conclude that a drug has no effect, when in reality the drug is actually effective
conclusion
includes all the possible answers that can be driven, from data collected, to answer the experimental question
explanation
a statement that connects scientific conclusion to the hypothesis that has been stated at the beginning
selection bias
the researcher actively selects participants, consciously or subconsciously preferring certain individuals
participation bias
individuals, with vested interest in the outcome, volunteer to participate in the study
random sampling
every individual has an equal chance of being represented
systematic sampling
based on a particular pattern of selection
e.g. choosing every 10th person at the airport
convenience sampling
the sample is readily accessible to the researchers
e.g. asking costumers as they leave the store about their shopping experience
stratified sampling
used when differences between different groups are examined
different subgroups within a population are identified and then random sampling is done from each group
e.g. choosing 5 males and 5 females from this class
confirmation bias
tendency to look for hypothesis supporting evidences
negative and positive controls
reduces subjective observations
blind study
participants are unaware of the true premise
idea is to minimize placebo effect and participation bias and confirmation bias
double blind study
both researcher and participants are unaware of the true premise
minimizes placebo effect, participation bias and confirmation bias
placebo
an inactive substance or preparation used as a control in an experiment or test to determine the effectiveness of a medicinal drug
funding bias
tendency of a scientific study, research, or policy recommendation to support the financial or vested interests of the entity that funded the work
publication bias
researcher decides not to publish unflattering results
Randomized Control Trial (RCT)
the gold standard for medical science-based evidence
refractive index
dimensionless measure of the bending of a ray of light when passing from one medium into another
SIN of an angle
trigonometric function of an angle in the right triangles commonly used to model periodic function phenomena such as light waves
diffraction of light
the bending of a light wave around a barrier or through an opening
wave
a disturbance that carries energy from one place to another without moving matter along with it. Waves are made up of repeated vibrations or oscillations in a medium or a field, happening around fixed positions.
amplitude (A)
a disturbance between the tip of the crest and the wave’s central axis (rest position)
frequency (f)
the number of oscillations per second
wavelength
horizontal distance between two consecutive troughs or crests
dispersion of light
the spreading of white light into its full spectrum of wavelengths. occurs whenever there is a process that changes the direction of light in a manner that depends on wavelength
refraction
the bending of a wave, like light, sound, or water, as it passes from one transparent substance (medium) to another, like air to water or glass to air, because it changes speed
photons
the particles of light
atom
the smallest functional unit of matter that retains all of the chemical properties of an element
molecule
collections of atoms bound together in specific combinations by chemical bonds
neutrons
the neutral particles that is part of the nucleus
protons
the positively charged particle that is part of the nucleus
electrons
the negatively charged particles that orbits the nucleus - different levels of orbits exist
elements
defined by the number of protons - all atoms of a particular element will have the same number of protons
atomic number
number of protons in an atom that determines the identity of an element
ions
atoms that have gained a charge
cation
positively charged atom
anion
negatively charged atom
isotopes
elements with the same number of protons but different number of neutrons, with different mass number
ionic bond
holds ions in a compound, based on the trong attraction between positive and negative ions
covalent bond
a strong chemical link where two atoms share pairs of electrons
hydrogen bond
a strong attraction between a slightly positive hydrogen atom and a slightly negative lone pair on another atom
combustion reaction
reactions of hydrocarbon molecules with oxygen in the atmosphere to produce cardon dioxide, water and heat (energy)
amphiphilic
molecules are attracted to both polar and non-polar ennvironments
water is cohesive
water sticks to itself, membrane structures are formed and lubrication is provided
water is adhesive
water sticks to other surfaces; plasma sticks to the side of the vessels and fill them up completely
pupil
the small window at the front of our eyes through which light can enter
retina
the sensitive sheet of nerves at the back of our eyes — light gathers at the focal point
rods
for low-light (night) vision, seeing in grayscale, and detecting motion
cones
for bright light, color vision, and sharp detail, with three types sensitive to red, green, and blue light
lens
a piece of glass or other transparent material shaped in a way that parallel incident rays would either converge to a point or appear to be diverging from a point
convex lens
a lens that is thicker at the centre than at the edges, rays of light that pass through the lens are brough closer together - focal point after light passes through
concave lens
a lens that is thinner at the centre than the edges, rays of light that pass through the lens are spread out - focal point before light passes through
real image
light rays from one point on the object actually cross at the location of the image and can be projected onto a screen or the retina of an eye
e.g. movie projector image
virtual image
an image that is on the same side of the lens as the object and cannot be projected on a screen
e.g. reflection in a mirror
simple light microscope
uses a single lens to magnify an object and cannot reach high magnification
compound light microscopy
uses two sets of lenses, and objective lens and an eyepiece, to produce images
electron microscopes
use of electrons, which have very short wavelengths, as the source of illuminating radiation
Transmission Electron Microscope (TEM)
used to view thin specimens (tissues sections, molecules, etc.) through which electrons can pass generating a projection image
Scanning Electron Microscope (SEM)
depends on the emission of secondary electrons from the surface of a specimen
field number
the diameter of the area in the intermediate image plane that can be observed through the eyepiece (in mm)
Field of View (FOV)
the maximum area visible when looking through the microscope eyepiece
fluorescence
the emission of light; because some energy is lost as heat, the emitted light contains less energy and therefore is of longer wavelength than the absorbed excitation light
dichroic filter
thin film filter, very accurately filters colors, letting selected color pass while reflecting other colors
quantum dots
very stable when exposed to light, and their color depends on their size—larger dots (about 4 nm) glow red, while smaller dots (about 2 nm) glow green. They stay fluorescent for a long time and come in many colors, even those in the near‑infrared range.
negative staining
a dark, heavy metal stain colors the background instead of the specimen, so the bacteria, viruses, or proteins stay clear and appear as bright outlines against a dark background. This method shows the organism’s true shape and surface details without needing heat‑fixing
cryo-microscopy
allows scientists to see biological molecules at near‑atomic resolution by rapidly freezing them in a thin layer of glass‑like ice and then imaging them with an electron beam inside a transmission electron microscope
descriptive statistics
summarize and describe characteristics of a specific dataset
e.g. organize, summarize, simplify, presentation of data
inferential statistics
use sample data to make predictions, generalizations, or test hypotheses about a larger population
e.g. generalize from samples to populations, hypothesis testing, relationships among variables, drawing conclusions, comparing two or more groups
histogram
a graphical representation showing a visual impression of the distribution data
mean
when data is normally distributed and there are no outliers
median
the middle value in the list of numbers
mode
the data value that occurs most often in a data set
midrange
found by adding the lowest and highest data values and dividing by two
measures of dispersion
used to describe the spread of data items in a data set
e.g. two of the most common are range and standard deviation
range
the difference between the highest and the lowest data values in a data set
standard deviation
a statistical calculation used to measure variance (variation) in a data set, tells you how much each score deviates from the mean - large SD means more variation
normal distribution
bell shaped and symmetric about a vertical line through its center
mean, median and mode are all equal and located at the center
68-95-99.7 rule
approximately 68% of the data items fall within 1 SD of the mean, in both directions
approximately 95% of the data items fall within 2 SD of the mean
approximately 99.7% of the data items fall within 3 SD of the mean
z-score
describes how many standard deviations a data item in a normal distribution lies above or below the mean
margins of error
a statistic showing how much a survey or study's results might differ from the true population value
skewed distribution
a large number of data items pile up at one end or the other with a “tail“ at the other end