mteb/BrightProPsychologyRetrieval huggingface dataset:
*  Gödel's completeness  and  incompleteness theorems 
*  Tarski's undefinability 
*  Banach–Tarski paradox 
* Cantor's  theorem,   paradox  and  diagonal argument 
*  Compactness 
*  Halting problem 
*  Lindström's 
*  Löwenheim–Skolem 
*  Russell's paradox
###  Semantics  &action=edit&section=5 "Edit
section: Semantics") ]
DNA_repair_and_cancer
"MicroRNA") .  [55]  In breast cancer, transcriptional repression of  BRCA1
 may occur more frequently by over-transcribed
microRNA-182 than by hypermethylation of the BRCA1 promoter (see [ Low
expression of BRCA1 in breast and ovarian cancers
](/wiki/BRCA1
Try the FAQ — it's got answers to many common questions.
 Index  ,  Module Index  ,
or  Table of Contents
*  Set 
*  hereditary 
*  Class  "Class \(set theory\)")
* (  Ur-  )  Element  "Element \(mathematics\)")
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*  Forcing  "Forcing \(mathematics\)")
*  Relation  "Relation \(mathematics\)")
*  equivalence 
*  partition 
* Set operations:
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*  union  "Union \(set theory\)")
*  complement  "Complement \(set theory\)")
*  Cartesian product 
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Save Article  __
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Techniques and tools  

The following experimental techniques are used to measure gene expression and
are listed in roughly chronological order, starting with the older, more
established technologies. They are divided into two groups based on their
degree of  multiplexity  "Multiplex \(assay\)") .

* Low-to-mid-plex techniques:
*  Reporter gene 
*  Northern blot 
*  Western blot  [76]
*  Fluorescent in situ hybridization 
*  Reverse transcription PCR 
* Higher-plex techniques:
*  SAGE  [77]
*  DNA microarray  [78]
*  Tiling array  [79]
*  RNA-Seq  [80]
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and  Lambda calculus
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MicroRNA_response_elements "Three
prime untranslated region") . MREs are sequences to which miRNAs bind. These
are prevalent motifs within 3′-UTRs. Among all regulatory motifs within the
3′-UTRs (e.g. including silencer regions), MREs make up about half of the
motifs.

As of 2014, the  miRBase  web site,  [56]  an
archive of  miRNA   sequences
 "Sequence \(biology\)") and annotations, listed
28,645 entries in 233 biologic species. Of these, 1,881 miRNAs were in
annotated human miRNA loci. miRNAs were predicted to have an average of about
four hundred target  mRNAs  (affecting
expression of several hundred genes).  [57]  Friedman et al.  [57]  estimate
that >45,000 miRNA target sites within human mRNA 3′UTRs are conserved above
background levels, and >60% of human protein-coding genes have been under
selective pressure to maintain pairing to miRNAs.

Direct experiments show that a single miRNA can reduce the stability of
hundreds of unique mRNAs.  [58]  Other experiments show that a single miRNA
may repress the production of hundreds of proteins, but that this repression
often is relatively mild (less than 2-fold).  [59]  [60]

The effects of miRNA dysregulation of gene expression seem to be important in
cancer.  [61]  For instance, in gastrointestinal cancers, nine miRNAs have
been identified as  epigenetically  altered
and effective in down regulating DNA repair enzymes.  [62]

The effects of miRNA dysregulation of gene expression also seem to be
important in neuropsychiatric disorders, such as schizophrenia, bipolar
disorder, major depression, Parkinson's disease, Alzheimer's disease and
autism spectrum disorders.  [63]  [64]
* __
##  Technical Information  ¶
© 2005-2024  Django Software Foundation
 and individual contributors.
Django is a  registered trademark
 of the Django Software
Foundation.
Handy when looking for specific information.
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` get_group_by_cols  ` ()  ¶
` allow_distinct  ` ¶
_ class  _ ` Expression  ` ¶
PrabhleenKaur
#  Expression (mathematics)
y >> 1
x <= y, x + y > 2
Translation  

Main article:  Translation (biology) 
"Translation \(biology\)")

For some non-coding RNA, the mature RNA is the final gene product.  [9]  In
the case of messenger RNA (mRNA) the RNA is an information carrier coding for
the synthesis of one or more proteins. mRNA carrying a single protein sequence
(common in eukaryotes) is  monocistronic  whilst mRNA carrying multiple protein sequences (common in
prokaryotes) is known as  polycistronic  .

 During the translation, tRNA
charged with amino acid enters the ribosome and aligns with the correct mRNA
triplet. Ribosome then adds amino acid to growing protein chain.

Every mRNA consists of three parts: a 5′ untranslated region (5′UTR), a
protein-coding region or  open reading frame  (ORF), and a 3′ untranslated region (3′UTR). The coding region
carries information for protein synthesis encoded by the  genetic code
 to form triplets. Each triplet of
nucleotides of the  coding region  is
called a  codon  and corresponds to a binding site
complementary to an anticodon triplet in transfer RNA. Transfer RNAs with the
same anticodon sequence always carry an identical type of  amino acid
 . Amino acids are then chained together by
the  ribosome  according to the order of triplets
in the coding region. The ribosome helps transfer RNA to bind to messenger RNA
and takes the amino acid from each transfer RNA and makes a structure-less
protein out of it.  [10]  [11]  Each mRNA molecule is translated into many
protein molecules, on average ~2800 in mammals.  [12]  [13]

In prokaryotes translation generally occurs at the point of transcription (co-
transcriptionally), often using a messenger RNA that is still in the process
of being created. In eukaryotes translation can occur in a variety of regions
of the cell depending on where the protein being written is supposed to be.
Major locations are the  cytoplasm  for soluble
cytoplasmic proteins and the membrane of the  endoplasmic reticulum
 for proteins that are
for export from the cell or insertion into a cell  membrane
 . Proteins that are supposed to be
produced at the endoplasmic reticulum are recognised part-way through the
translation process. This is governed by the  signal recognition particle
 —a protein
that binds to the ribosome and directs it to the endoplasmic reticulum when it
finds a  signal peptide  on the
growing (nascent) amino acid chain.  [14]
CpG_islands "CpG site")
with numerous  CpG sites  .  [52]  When many of a
gene's promoter CpG sites are  methylated  the gene becomes silenced.  [53]  Colorectal cancers typically
have 3 to 6 [ driver ](/wiki/Somatic_evolution_in_cancer
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###  Writing your own Query Expressions  ¶
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where x and y are integer variables.
###  Creating your own Aggregate Functions  ¶
Gene networks  

Main article:  Gene regulatory network 

Genes have sometimes been regarded as nodes in a network, with inputs being
proteins such as  transcription factors  , and outputs being the level of gene expression. The
node itself performs a function, and the operation of these functions have
been interpreted as performing a kind of information processing within cells
and determines cellular behavior.

Gene networks can also be constructed without formulating an explicit causal
model. This is often the case when assembling networks from large expression
data sets.  [74]  Covariation and correlation of expression is computed across
a large sample of cases and measurements (often  transcriptome
 or  proteome  data). The source of variation can be either experimental or
natural (observational). There are several ways to construct gene expression
networks, but one common approach is to compute a matrix of all pair-wise
correlations of expression across conditions, time points, or individuals and
convert the matrix (after thresholding at some cut-off value) into a graphical
representation in which nodes represent genes, transcripts, or proteins and
edges connecting these nodes represent the strength of association (see 
GeneNetwork GeneNetwork 2  ).  [75]
Please go through our recently updated  Improvement Guidelines
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If no  output_field  is specified, it will be inferred from the type of the
provided ` value  ` for many common types. For example, passing an instance of
 ` datetime.datetime  `
") as ` value  ` defaults ` output_field  ` to [ ` DateTimeField
` ](../fields/#django.db.models.DateTimeField
"django.db.models.DateTimeField") .
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Computability theory  |
##  Syntax versus semantics  &action=edit&section=3 "Edit
section: Syntax versus semantics") ]
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[ Conditional Expressions __ ](../conditional-expressions/)
__ Back to Top
` empty_result_set_value  ` ¶
__ __ Change Language
###  ` Func()  ` expressions  ¶
` expression  ` is the same as ` self  ` .
Post-translational modifications  

Main article:  Post-translational modification 

Post-translational modifications (PTMs) are  covalent  modifications to proteins. Like RNA splicing, they help to
significantly diversify the proteome. These modifications are usually
catalyzed by enzymes. Additionally, processes like covalent additions to amino
acid side chain residues can often be reversed by other enzymes. However,
some, like the  proteolytic cleavage  of
the protein backbone, are irreversible.  [65]

PTMs play many important roles in the cell.  [66]  For example,
phosphorylation is primarily involved in activating and deactivating proteins
and in signaling pathways.  [67]  PTMs are involved in transcriptional
regulation: an important function of acetylation and methylation is histone
tail modification, which alters how accessible DNA is for transcription.  [65]
They can also be seen in the immune system, where glycosylation plays a key
role.  [68]  One type of PTM can initiate another type of PTM, as can be seen
in how  ubiquitination  tags proteins
for degradation through proteolysis.  [65]  Proteolysis, other than being
involved in breaking down proteins, is also important in activating and
deactivating them, and in regulating biological processes such as DNA
transcription and cell death.  [69]
####  Avoiding race conditions using ` F()  ` ¶
∑  n  =  1  3  (  2  n  x  )  |  x  =  3  =  36\.  {\displaystyle \sum _{n=1}^{3}(2nx){\Biggr |}_{x=3}=36.}
Expressions may be of the following types:
Logics  |
#   Documentation
The ` Aggregate  ` API is as follows:
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&x, ptr, ptr++
Many authors distinguish an expression from a _ formula
 _ , the former denoting a
 mathematical object  , and
the latter denoting a statement about mathematical objects.  [ _ citation
needed   _ ]
For example,  8  x  −  5  {\displaystyle 8x-5}  
is an expression, while  8  x  −  5  ≥  5  x  −  8  {\displaystyle 8x-5\geq
5x-8}  
is a formula. However, in modern mathematics, and in particular in  computer
algebra  , formulas are viewed as
expressions that can be evaluated to _true_ or _false_ , depending on the
values that are given to the variables occurring in the expressions. For
example  8  x  −  5  ≥  5  x  −  8  {\displaystyle 8x-5\geq 5x-8}

takes the value _false_ if  x  is given a value less than –1, and the value
_true_ otherwise.
##  Support Django!
_ class  _ ` Exists  ` ( _ queryset  _ )  ¶
Three prime untranslated regions and microRNAs  

Main article:  Three prime untranslated region

Main article:  MicroRNA 

 Three prime untranslated regions  (3′UTRs) of  messenger RNAs
 (mRNAs) often contain regulatory
sequences that post-transcriptionally influence gene expression. Such 3′-UTRs
often contain both binding sites for  microRNAs 
(miRNAs) as well as for regulatory proteins. By binding to specific sites
within the 3′-UTR, miRNAs can decrease gene expression of various mRNAs by
either inhibiting translation or directly causing degradation of the
transcript. The 3′-UTR also may have silencer regions that bind repressor
proteins that inhibit the expression of a mRNA.

The 3′-UTR often contains [ microRNA response elements (MREs)
](/wiki/Three_prime_untranslated_region
* __ __ __
Gene expression

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[ Edit links
](https://www.wikidata.org/wiki/Special:EntityPage/Q26972
##  Built-in Expressions  ¶
from django.db.models import Func
__ Report
_ class  _ ` F  ` ¶
##  Web Development
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from django.db.models import F, Func
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where x is a variable and ptr is a pointer.
Changed in Django 4.2:
*  Countable 
*  Uncountable 
*  Empty 
*  Inhabited 
*  Singleton  "Singleton \(mathematics\)")
*  Finite 
*  Infinite 
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*  Ultrafilter  "Ultrafilter \(set theory\)")
*  Recursive 
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7  x  2  \+  4  x  −  10  {\displaystyle 7{{x}^{2}}+4x-10}   (  quadratic polynomial  )
Special_transfers_of_biological_sequential_information "Central dogma of molecular biology")
*  RNA→RNA 
*  RNA→DNA 
*  Protein→Protein 

 Transcription  "Transcription \(biology\)")
|

|  Types  |

*  Bacterial 
*  Archaeal 
*  Eukaryotic 

---|---
Key elements  |

*  Transcription factor 
*  RNA polymerase 
*  Promoter  "Promoter \(genetics\)")

 Post-transcription  |

*  Precursor mRNA (pre-mRNA / hnRNA) 
*  5' capping 
*  Splicing 
*  Polyadenylation 
*  Histone acetylation and deacetylation 

 Translation  "Translation \(biology\)") |

|  Types  |

*  Bacterial 
*  Archaeal 
*  Eukaryotic 

---|---
Key elements  |

*  Ribosome 
*  Transfer RNA (tRNA) 
*  Ribosome-nascent chain complex (RNC) 
*  Post-translational modification 

 Regulation  |

*  Epigenetic 
*  imprinting 
*  Transcriptional 
*  Gene regulatory network 
*  cis-regulatory element 
*  lac operon 
*  Post-transcriptional 
*  sequestration (P-bodies) 
*  alternative splicing 
*  microRNA 
*  Translational 
*  Post-translational 
*  reversible 
*  irreversible 

Influential people  |

*  François Jacob 
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 Portal  :

*   Biology 

 Authority control databases  : National  [ 
](https://www.wikidata.org/wiki/Q26972
##  Get Involved
Non-coding RNA maturation  

Main articles: [ tRNA maturation ](/wiki/TRNA
Glossary "Somatic
evolution in cancer") mutations and 33 to 66  hitchhiker
 or passenger mutations.
[54]  However, transcriptional silencing may be of more importance than
mutation in causing progression to cancer. For example, in colorectal cancers
about 600 to 800 genes are transcriptionally silenced by CpG island
methylation (see  regulation of transcription in cancer
 ). Transcriptional repression in cancer can also occur by other 
epigenetic  mechanisms, such
as altered expression of [ microRNAs ](/wiki/MicroRNA
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For example, in the expression
###  ` ExpressionWrapper()  ` expressions  ¶
Formula that represents a mathematical object
In the 1930s, a new type of expressions, called  lambda expressions
 , were introduced by 
Alonzo Church  and  Stephen Kleene
 for formalizing  functions
 "Function \(mathematics\)") and their
evaluation. They form the basis for  lambda calculus  , a  formal system 
used in  mathematical logic 
and the  theory of programming languages  .
` relabeled_clone  ` ( _ change_map  _ )  ¶
Check whether two strings are anagrams of each other using unordered_map in
C++
__ Save
shifts three bit position to left
` filterable  ` ¶
##  Variables and evaluation  &action=edit&section=2 "Edit
section: Variables and evaluation") ]
###  Conditional expressions  ¶
##  Languages
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Biogenesis "MicroRNA")

In most organisms  non-coding genes (ncRNA)  are
transcribed as precursors that undergo further processing. In the case of
ribosomal RNAs (rRNA), they are often transcribed as a pre-rRNA that contains
one or more rRNAs. The pre-rRNA is cleaved and modified (  2′- _O_
-methylation  and 
pseudouridine  formation) at specific
sites by approximately 150 different small nucleolus-restricted RNA species,
called snoRNAs. SnoRNAs associate with proteins, forming snoRNPs. While snoRNA
part basepair with the target RNA and thus position the modification at a
precise site, the protein part performs the catalytical reaction. In
eukaryotes, in particular a snoRNP called RNase, MRP cleaves the 45S pre-rRNA
into the  28S  ,  5.8S
 , and  18S rRNAs
 . The rRNA and RNA processing factors form large
aggregates called the  nucleolus  .  [3]

In the case of transfer RNA (tRNA), for example, the 5′ sequence is removed by
 RNase P  ,  [4]  whereas the 3′ end is removed by
the  tRNase Z  enzyme  [5]  and the
non-templated 3′ CCA tail is added by a  nucleotidyl transferase
 .  [6]  In the case
of  micro RNA (miRNA)  , miRNAs are first transcribed
as primary transcripts or pri-miRNA with a cap and poly-A tail and processed
to short, 70-nucleotide stem-loop structures known as pre-miRNA in the cell
nucleus by the enzymes  Drosha  and  Pasha
 "Pasha \(protein\)") . After being exported, it is
then processed to mature miRNAs in the cytoplasm by interaction with the
endonuclease  Dicer  , which also initiates the
formation of the  RNA-induced silencing complex (RISC)  , composed of the 
Argonaute  protein.

Even snRNAs and snoRNAs themselves undergo series of modification before they
become part of functional RNP complex. This is done either in the nucleoplasm
or in the specialized compartments called  Cajal bodies  . Their bases are methylated or pseudouridinilated by a group of
 small Cajal body-specific RNAs (scaRNAs)  , which are structurally similar
to snoRNAs.
` get_source_expressions  ` ()  ¶
An expression is a syntactic construct. It must be  well-formed  : the allowed  operators
 "Operator \(mathematics\)") must have the
correct number of inputs in the correct places, the characters that make up
these inputs must be valid, have a clear  order of operations
 , etc. Strings of symbols
that violate the rules of syntax are not well-formed and are not valid
mathematical expressions.
For example, in the  usual notation  of  arithmetic  ,
the expression _1 + 2 × 3_ is well-formed, but the following expression is
not:
*  Interpretation  "Interpretation \(logic\)")
*  function 
*  of models  "Interpretation \(model theory\)")
*  Model  "Structure \(mathematical logic\)")
*  equivalence 
*  finite 
*  saturated 
*  spectrum 
*  submodel  "Substructure \(mathematics\)")
*  Non-standard model 
*  of arithmetic 
*  Diagram  "Diagram \(mathematical logic\)")
*  elementary 
*  Categorical theory 
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*  Satisfiability 
*  Semantics of logic 
*  Strength  "Strength \(mathematical logic\)")
*  Theories of truth 
*  semantic 
*  Tarski's 
*  Kripke's 
*  T-schema 
*  Transfer principle 
*  Truth predicate 
*  Truth value 
*  Type  "Type \(model theory\)")
*  Ultraproduct 
*  Validity  "Validity \(logic\)")
8  x  −  5  {\displaystyle 8x-5}   (  linear polynomial  )
* __
*
The ` alias=None  ` keyword argument was removed.
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` query  ` is the backend query implementation.
Formal languages allow  formalizing 
the concept of well-formed expressions.
This attribute is set to ` 'ROWS'  ` .