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Methods

Difference between Microscopy and Sprectroscopy

Microscopy: obtaining an image or Information about material that cannot be observed with the naked eye.

Sprectroscopy: Observing the reacion of a material to a certain influence, often only measured with a spectrum output.

Sprectroscopy: Observing the reacion of a material to a certain influence, often only measured with a spectrum output.

Methods

What is a Tuple?

A ordered list of numbers or values, as a list defining a position in a 1,2 or 3 Dimensional space. Those lists are inter-referrable. 1-tuple: 2,5 ; 2-tuple: maybe a vector 2 , 5 ; 3-tuple: 5 , 7, 2 (position in 3 dimensional space) Order matters!!! Need not be know, can also be "x1 + x2 , 7" (2-Tuple)

Methods

What is a funciton at the most abstract level?

A single mathematical expression, relating any hypothetical real number of one dimension to a determinable number of the other dimension.

Methods

Principle and use of microarrays

Microarrays are used to compare gene expression in 2 genetically idential cells. This difference in expression is usually due to different conditions around (no O2-> diff. genes expressed). Do to this, the relation between mRNA quantity and expression is used. The mRNA is extracted and then a RT PCR is conducted. Here, the 2 different cells get different fluorescent labels by adding labeled nucleotides. The old stand of mRNA is now degraded, and we have 2 tubes with 2 sscDNA libraries. Both cDNA libraries are then mixed and put on a microarray chip, containing all genes of the organism fixed, ready to hybridise (join single, compl. cDNA strand). The added sscDNA hybridises. Now the fluorescens is measured and compared. some genes are now green, others red. -> conclusions about expression.

Methods

What is a carthesian plane?

It is comparable to a graph with one x and one y axis.

Methods

What are matrices used for, roughly?

... are matrices used to display/describe linear equation systems in a "simplified" manner.

Methods

What does a 2x2 Matrix tell us for linear transformation? What does it do to a vector?

The Matrix tells us, where the 01 and the 10 vector move to. the first row shows where the first goes and so on. Thereby, a 2x2 Matrix includes a sort of a function (in this case linear) that changes the vectors orientation.

Methods

A matrix with a colum number of 1 (n=1)and a row number of 3 (m=3), how are the indices called for the objects and how is it different to a vector?

The indices for the objects (from top to bottom) are a11 a12, a13. The matrix is also called a column matrix and is math. identical to a vector

Methods

How are Matrices usually named / highlighted?

They are usually referred to with bold or underlined capital letters.

Methods

What is a scalar?

A scalar is an element, a number in a field, often used to describe a vector. The scalar is a real number. (3, for example)

Methods

What is a matrix?

It is a, usually rectangular, arrangement of objects, (sometimes numbers), that features m rows and n colums.

Methods

How can a vector be visualised an arrow with only 2 knowns?

By showing it in normal position. The arrow is drawn from the source (0/0) to the defined spot.

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